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Bernd Sturmfels - Publications

Explore the scholarly works of Bernd Sturmfels. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover the latest research through preprints.

Book
2024 Journal Open Access
Paul Breiding, Kathlén Kohn and Bernd Sturmfels

Metric algebraic geometry

Cham : Birkhäuser, 2024.
(Oberwolfach Seminars ; 53)
ISBN: 978-3-031-51461-6, ISBN: 978-3-031-51462-3

BibTex

 DOI: 10.1007/978-3-031-51462-3
Preprint
2024 Repository Open Access
Karel Devriendt, Hannah Friedman, Bernhard Reinke and Bernd Sturmfels

The two lives of the Grassmannian

BibTex

 ArXiv: 2401.03684
Preprint
2024 Repository Open Access
Nick Early, Anaëlla Pfister and Bernd Sturmfels

Minimal kinematics on \(\mathcal{M}_{0,n}\)

BibTex

 ArXiv: 2402.03065
inJournal
2024 Repository Open Access
Hannah Friedman, Bernd Sturmfels and Maksym Zubkov

Likelihood geometry of determinantal point processes

In: Algebraic statistics, 15 (2024) 1, pp. 15-25

BibTex

 DOI: 10.2140/astat.2024.15.15 ArXiv: 2307.13486
inJournal
2024 Repository Open Access
Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Subspaces fixed by a nilpotent matrix

In: Orbita mathematicae, 1 (2024) 1, pp. 1-15

BibTex

 DOI: 10.2140/om.2024.1.1 ArXiv: 2207.00802
Preprint
2024 Repository Open Access
Mario Kummer, Bernd Sturmfels and Raluca Vlad

Maximal Mumford curves from planar graphs

BibTex

 ArXiv: 2404.11838
Preprint
2024 Repository Open Access
Elizabeth Pratt and Bernd Sturmfels

The Chow-Lam form

BibTex

 ArXiv: 2401.10795
inJournal
2024 Repository Open Access
Bernd Sturmfels, Simon Telen, François-Xavier Vialard and Max von Renesse

Toric geometry of entropic regularization

In: Journal of symbolic computation, 120 (2024), p. 102221

BibTex

 DOI: 10.1016/j.jsc.2023.102221 ArXiv: 2202.01571
inJournal
2023 Repository Open Access
Daniele Agostini, Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

KP solitons from tropical limits

In: Journal of symbolic computation, 114 (2023), pp. 282-301

BibTex

 DOI: 10.1016/j.jsc.2022.04.009 ArXiv: 2101.10392 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations

In: Advances in mathematics, 414 (2023), p. 108863

BibTex

 DOI: 10.1016/j.aim.2023.108863 ArXiv: 2107.10518 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz and Bernd Sturmfels

Recovery of plane curves from branch points

In: Discrete and computational geometry, (2023)

BibTex

 DOI: 10.1007/s00454-023-00538-5 ArXiv: 2205.11287 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Rida Ait El Manssour, Marc Härkönen and Bernd Sturmfels

Linear PDE with constant coefficients

In: Glasgow mathematical journal, 65 (2023) S1, S2-S27

BibTex

 DOI: 10.1017/S0017089521000355 ArXiv: 2104.10146
inBook
2023 Repository Open Access
Yulia Alexandr, Joe Kileel and Bernd Sturmfels

Moment varieties for mixtures of products

In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.)
New York : ACM, 2023. - pp. 53-60

BibTex

 DOI: 10.1145/3597066.3597084 ArXiv: 2301.09068 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels and Simon Telen

Bayesian integrals on toric varieties

In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 77-103

BibTex

 DOI: 10.1137/22M1490569 ArXiv: 2204.06414 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Viktoriia Borovik, Bernd Sturmfels and Svala Sverrisdóttir

Coupled cluster degree of the Grassmannian

BibTex

 ArXiv: 2310.15474 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Yairon Cid-Ruiz and Bernd Sturmfels

Primary decomposition with differential operators

In: International mathematics research notices, 2023 (2023) 14, pp. 12119-12147

BibTex

 DOI: 10.1093/imrn/rnac178 ArXiv: 2101.03643 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Aldo Conca, Simone Naldi, Giorgio Ottaviani and Bernd Sturmfels

Taylor polynomials of rational functions

In: Acta mathematica Vietnamica, (2023)

BibTex

 DOI: 10.1007/s40306-023-00514-4 ArXiv: 2304.00712
Preprint
2023 Repository Open Access
Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels and Claudia He Yun

Positive del Pezzo geometry

BibTex

 ArXiv: 2306.13604 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels and Raluca Vlad

Self-dual matroids from canonical curves

In: Experimental mathematics, (2023)

BibTex

 DOI: 10.1080/10586458.2023.2239282 ArXiv: 2212.05910 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Marc Härkönen, Jonas Hirsch and Bernd Sturmfels

Making waves

In: La matematica, 2 (2023) 3, pp. 593-615

BibTex

 DOI: 10.1007/s44007-023-00056-z ArXiv: 2111.14045 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Thinh P. Le, Chiara Meroni, Bernd Sturmfels, Reinhard F. Werner and Timo Ziegler

Quantum correlations in the minimal scenario

In: Quantum : the open journal for quantum science, 7 (2023), pp. 1-59

BibTex

 DOI: 10.22331/q-2023-03-16-947 ArXiv: 2111.06270
inJournal
2023 Repository Open Access
Laurent Manivel, Bernd Sturmfels and Svala Sverrisdóttir

Four-dimensional Lie algebras revisited

In: Journal of lie theory, 33 (2023) 3, pp. 703-712

BibTex

 ArXiv: 2208.14631 Link: www.heldermann.de Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Dimitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds

In: Information geometry, (2023)

BibTex

 DOI: 10.1007/s41884-023-00111-2 ArXiv: 2211.15490 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Kemal Rose, Bernd Sturmfels and Simon Telen

Tropical implicitization revisited

BibTex

 ArXiv: 2306.13015 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Bernd Sturmfels, Fabian Faulstich and Svala Sverrisdóttir

Algebraic varieties in quantum chemistry

BibTex

 ArXiv: 2308.05258
inBook
2023 Journal Open Access
Bernd Sturmfels

Beyond linear algebra

In: Proceedings of the international congress of mathematicians 2022 July 6-14 : Volume 4 / Dmitry Beliaev... (eds.)
Berlin : European Mathematical Society, 2023. - pp. 4820-4840

BibTex

 DOI: 10.4171/ICM2022/64 ArXiv: 2108.09494
inBook
2022 Journal Open Access
Tobias Boege, Sonja Petrović and Bernd Sturmfels

Marginal independence models

In: ISSAC '22 proceedings of the international symposium on symbolic and algebraic computation ; Villeneuve-d'Ascq, France ; July 4 - 7, 2022
New York : ACM, 2022. - pp. 263-271

BibTex

 DOI: 10.1145/3476446.3536193 ArXiv: 2112.10287 Code: mathrepo.mis.mpg.de
inJournal
2022 Repository Open Access
Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels and Madeleine Weinstein

Voronoi cells of varieties

In: Journal of symbolic computation, 109 (2022), pp. 351-366

BibTex

 DOI: 10.1016/j.jsc.2020.07.009 ArXiv: 1811.08395

MiS Preprint
inJournal
2022 Journal Open Access
Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Orders and polytropes : matrix algebras from valuations

In: Beiträge zur Algebra und Geometrie, 63 (2022) 3, pp. 515-531

BibTex

 DOI: 10.1007/s13366-021-00600-4 ArXiv: 2107.00503 Code: mathrepo.mis.mpg.de
inBook
2022 Repository Open Access
Khazhgali Kozhasov, Mateusz Michałek and Bernd Sturmfels

Positivity certificates via integral representations

In: Facets of algebraic geometry : a collection in honor of William Fulton's 80th birthday ; Volume 2 / Paolo Aluffi... (eds.)
Cambridge : Cambridge University Press, 2022. - pp. 84-114

BibTex

 DOI: 10.1017/9781108877855.004 ArXiv: 1908.04191

MiS Preprint
inJournal
2022 Journal Open Access
Hana Melánová, Bernd Sturmfels and Rosa Winter

Recovery from power sums

In: Experimental mathematics, (2022)

BibTex

 DOI: 10.1080/10586458.2022.2061650 ArXiv: 2106.13981
inJournal
2022 Journal Open Access
İrem Portakal and Bernd Sturmfels

Geometry of dependency equilibria

In: Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 54 (2022), p. 5

BibTex

 DOI: 10.13137/2464-8728/33881 ArXiv: 2201.05506
inJournal
2022 Repository Open Access
Elina Robeva, Bernd Sturmfels and Caroline Uhler

Publisher correction: 'Geometry of log-concave density estimation' [In: Discrete and computational geometry, 61 (2019) 1, p. 136-160]

In: Discrete and computational geometry, 68 (2022) 2, pp. 645-645

BibTex

 DOI: 10.1007/s00454-022-00434-4 ArXiv: 1704.01910
inJournal
2021 Repository Open Access
Daniele Agostini, Türkü Özlüm Celik and Bernd Sturmfels

The Dubrovin threefold of an algebraic curve

In: Nonlinearity, 34 (2021) 6, pp. 3783-3812

BibTex

 DOI: 10.1088/1361-6544/abf08c ArXiv: 2005.08244
inJournal
2021 Journal Open Access
Daniele Agostini, Türkü Özlüm Celik, Julia Struwe and Bernd Sturmfels

Theta surfaces

In: Vietnam journal of mathematics, 49 (2021) 2, pp. 319-347

BibTex

 DOI: 10.1007/s10013-020-00443-x ArXiv: 2001.11385 Link: math.berkeley.edu
inJournal
2021 Repository Open Access
Gabriele Baletti, Marta Panizzut and Bernd Sturmfels

K3 polytopes and their quartic surfaces

In: Advances in geometry, 21 (2021) 1, pp. 85-98

BibTex

 DOI: 10.1515/advgeom-2020-0016 ArXiv: 1806.02236

MiS Preprint
inJournal
2021 Journal Open Access
Arthur Bik, Henrik Eisenmann and Bernd Sturmfels

Jordan algebras of symmetric matrices

In: Le Matematiche, 76 (2021) 2, pp. 337-353

BibTex

 DOI: 10.4418/2021.76.2.3 ArXiv: 2010.00277 Code: mathrepo.mis.mpg.de
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Claudia Fevola and Bernd Sturmfels

Tangent quadrics in real 3-space

In: Le Matematiche, 76 (2021) 2, pp. 355-367

BibTex

 DOI: 10.4418/2021.76.2.4 ArXiv: 2010.10879 Code: mathrepo.mis.mpg.de
inJournal
2021 Repository Open Access
Türkü Özlüm Celik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels and Lorenzo Venturello

Wasserstein distance to independence models

In: Journal of symbolic computation, 104 (2021), pp. 855-873

BibTex

 DOI: 10.1016/j.jsc.2020.10.005 ArXiv: 2003.06725
inJournal
2021 Repository Open Access
Yairon Cid-Ruiz, Roser Homs and Bernd Sturmfels

Primary ideals and their differential equations

In: Foundations of computational mathematics, 21 (2021) 5, pp. 1363-1399

BibTex

 DOI: 10.1007/s10208-020-09485-6 ArXiv: 2001.04700 Code: mathrepo.mis.mpg.de
inJournal
2021 Repository Open Access
Eliana Duarte, Orlando Marigliano and Bernd Sturmfels

Discrete statistical models with rational maximum likelihood estimator

In: Bernoulli, 27 (2021) 1, pp. 135-154

BibTex

 DOI: 10.3150/20-BEJ1231 ArXiv: 1903.06110

MiS Preprint
inJournal
2021 Journal Open Access
Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

Pencils of quadrics : old and new

In: Le Matematiche, 76 (2021) 2, pp. 319-335

BibTex

 DOI: 10.4418/2021.76.2.2 ArXiv: 2009.04334
inJournal
2021 Journal Open Access
Yuhan Jiang and Bernd Sturmfels

Bad projections of the PSD cone

In: Collectanea mathematica, 72 (2021) 2, pp. 261-280

BibTex

 DOI: 10.1007/s13348-021-00319-4 ArXiv: 2006.09956
inJournal
2021 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and computational geometry, 64 (2020) 2, p. 355-381]

In: Discrete and computational geometry, 66 (2021) 4, pp. 1217-1217

BibTex

 DOI: 10.1007/s00454-021-00322-3
Book
2021
Mateusz Michałek and Bernd Sturmfels

Invitation to nonlinear algebra

Providence, R.I. : American Mathematical Society, 2021. - p. 226
(Graduate studies in mathematics ; 211)
ISBN: 978-1-4704-5367-1, ISBN: 978-1-4704-6308-3, ISSN: 1065-7339

BibTex

 Code: mathrepo.mis.mpg.de
inJournal
2021 Repository Open Access
Elina Robeva, Bernd Sturmfels, Ngoc Mai Tran and Caroline Uhler

Maximum likelihood estimation for totally positive log-concave densities

In: Scandinavian journal of statistics, 48 (2021) 3, pp. 817-844

BibTex

 DOI: 10.1111/sjos.12462 ArXiv: 1806.10120

MiS Preprint
inJournal
2021 Repository Open Access
Bernd Sturmfels and Simon Telen

Likelihood equations and scattering amplitudes

In: Algebraic statistics, 12 (2021) 2, pp. 167-186

BibTex

 DOI: 10.2140/astat.2021.12.167 ArXiv: 2012.05041
inJournal
2020 Repository Open Access
Michael F. Adamer, András Christian Lőrincz, Anna-Laura Sattelberger and Bernd Sturmfels

Algebraic analysis of rotation data

In: Algebraic statistics, 11 (2020) 2, pp. 189-211

BibTex

 DOI: 10.2140/astat.2020.11.189 ArXiv: 1912.00396
inJournal
2020 Journal Open Access
Paul Breiding, Bernd Sturmfels and Sascha Timme

3264 conics in a second

In: Notices of the American Mathematical Society, 67 (2020) 1, pp. 30-37

BibTex

 ArXiv: 1902.05518

MiS Preprint

 Link: www.ams.org
inBook
2020 Repository Open Access
Türkü Özlüm Celik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels and Lorenzo Venturello

Optimal transport to a variety

In: Mathematical aspects of computer and information sciences : 8th international conference, MACIS 2019, Gebze-Istanbul, Turkey, November 13-15, 2019 ; revised selected papers / Daniel Slamanig... (eds.)
Cham : Springer, 2020. - pp. 364-381
(Lecture notes in computer science ; 11989)

BibTex

 DOI: 10.1007/978-3-030-43120-4_29 ArXiv: 1909.11716

MiS Preprint
inJournal
2020 Journal Open Access
Diego Cifuentes, Corey Harris and Bernd Sturmfels

The geometry of SDP-exactness in quadratic optimization

In: Mathematical programming, 182 (2020) 1/2, pp. 399-428

BibTex

 DOI: 10.1007/s10107-019-01399-8 ArXiv: 1804.01796

MiS Preprint
inJournal
2020 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

The Schläfli fan

In: Discrete and computational geometry, 64 (2020) 2, pp. 355-381

BibTex

 DOI: 10.1007/s00454-020-00215-x ArXiv: 1905.11951

MiS Preprint
inJournal
2020 Repository Open Access
Kathlén Kohn, Boris Shapiro and Bernd Sturmfels

Moment varieties of measures on polytopes

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 21 (2020), pp. 739-770

BibTex

 DOI: 10.2422/2036-2145.201808_003 ArXiv: 1807.10258

MiS Preprint
inJournal
2020 Journal Open Access
Marta Panizzut, Emre Can Sertöz and Bernd Sturmfels

An octanomial model for cubic surfaces

In: Le Matematiche, 75 (2020) 2, pp. 517-536

BibTex

 DOI: 10.4418/2020.75.2.8 ArXiv: 1908.06106 Code: mathrepo.mis.mpg.de
inJournal
2020 Journal Open Access
Kristian Ranestad and Bernd Sturmfels

Twenty-seven questions about the cubic surface

In: Le Matematiche, 75 (2020) 2, pp. 411-424

BibTex

 DOI: 10.4418/2020.75.2.1 ArXiv: 1912.07347
inJournal
2020 Journal Open Access
Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Brownian motion tree models are toric

In: Kybernetika, 56 (2020) 6, pp. 1154-1175

BibTex

 DOI: 10.14736/kyb-2020-6-1154 ArXiv: 1902.09905

MiS Preprint
inJournal
2020 Repository Open Access
Bernd Sturmfels, Sascha Timme and Piotr Zwiernik

Estimating linear covariance models with numerical nonlinear algebra

In: Algebraic statistics, 11 (2020) 1, pp. 31-52

BibTex

 DOI: 10.2140/astat.2020.11.31 ArXiv: 1909.00566
inBook
2020 Repository Open Access
Bernd Sturmfels, Emmanuel Tsukerman and Lauren Williams

Symmetric matrices, Catalan paths, and correlations

In: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4-8, 2016
Nancy, France : Discrete Mathematics & Theoretical Computer Science (DMTCS), 2020. - pp. 1135-1146
(DMTCS proceedings)

BibTex

 ArXiv: 1511.04125 Link: dmtcs.episciences.org
inJournal
2019 Journal Open Access
Carlos Améndola, Peter K. Friz and Bernd Sturmfels

Varieties of signature tensors

In: Forum of mathematics / Sigma, 7 (2019), e10

BibTex

 DOI: 10.1017/fms.2019.3 ArXiv: 1804.08325

MiS Preprint
inJournal
2019 Repository Open Access
Tobias Boege, Alessio D'Alì, Thomas Kahle and Bernd Sturmfels

The geometry of Gaussoids

In: Foundations of computational mathematics, 19 (2019) 4, pp. 775-812

BibTex

 DOI: 10.1007/s10208-018-9396-x ArXiv: 1710.07175

MiS Preprint
inJournal
2019 Repository Open Access
Lynn Chua, Mario Kummer and Bernd Sturmfels

Schottky algorithms : classical meets tropical

In: Mathematics of computation, 88 (2019) 319, pp. 2541-2558

BibTex

 DOI: 10.1090/mcom/3406 ArXiv: 1707.08520

MiS Preprint
inJournal
2019 Journal Open Access
Daniel Ciripoi, Nidhi Kaihnsa, Andreas Löhne and Bernd Sturmfels

Computing convex hulls of trajectories

In: Revista de la Unión Matemática Argentina, 60 (2019) 2, pp. 637-662

BibTex

 DOI: 10.33044/revuma.v60n2a22 ArXiv: 1810.03547

MiS Preprint
inJournal
2019 Repository Open Access
Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann, Mahsa Sayyary Namin and Bernd Sturmfels

Sixty-four curves of degree six

In: Experimental mathematics, 28 (2019) 2, pp. 132-150

BibTex

 DOI: 10.1080/10586458.2017.1360808 ArXiv: 1703.01660

MiS Preprint

 Code: mathrepo.mis.mpg.de
inJournal
2019 Repository Open Access
Max Pfeffer, Anna Seigal and Bernd Sturmfels

Learning paths from signature tensors

In: SIAM journal on matrix analysis and applications, 40 (2019) 2, pp. 394-416

BibTex

 DOI: 10.1137/18M1212331 ArXiv: 1809.01588

MiS Preprint
inJournal
2019 Repository Open Access
Elina Robeva, Bernd Sturmfels and Caroline Uhler

Geometry of log-concave density estimation

In: Discrete and computational geometry, 61 (2019) 1, pp. 136-160

BibTex

 DOI: 10.1007/s00454-018-0024-y ArXiv: 1704.01910

MiS Preprint
Preprint
2019 Repository Open Access
Anna-Laura Sattelberger and Bernd Sturmfels

D-modules and holonomic functions

BibTex

 ArXiv: 1910.01395
inJournal
2019 Journal Open Access
Bernd Sturmfels

Adventures in mentoring

In: Notices of the American Mathematical Society, 66 (2019) 8, pp. 1300-1302

BibTex

 Link: www.ams.org
inJournal
2018 Repository Open Access
Carlos Améndola, Kristian Ranestad and Bernd Sturmfels

Algebraic identifiability of Gaussian mixtures

In: International mathematics research notices, 2018 (2018) 21, pp. 6556-6580

BibTex

 DOI: 10.1093/imrn/rnx090 ArXiv: 1612.01129

MiS Preprint
inJournal
2018 Journal Open Access
Paul Breiding, Sara Kališnik Verovšek, Bernd Sturmfels and Madeleine Weinstein

Learning algebraic varieties from samples

In: Revista matematica complutense, 31 (2018) 3, pp. 545-593

BibTex

 DOI: 10.1007/s13163-018-0273-6 ArXiv: 1802.09436

MiS Preprint
inJournal
2018 Repository Open Access
Martin Helmer and Bernd Sturmfels

Nearest points on toric varieties

In: Mathematica Scandinavica, 122 (2018) 2, pp. 213-238

BibTex

 DOI: 10.7146/math.scand.a-101478 ArXiv: 1603.06544
inJournal
2018 Repository Open Access
Joe Kileel, Zuzana Kukelova, Tomas Pajdla and Bernd Sturmfels

Distortion varieties

In: Foundations of computational mathematics, 18 (2018) 4, pp. 1043-1071

BibTex

 DOI: 10.1007/s10208-017-9361-0 ArXiv: 1610.01860
inJournal
2018 Repository Open Access
Kathlén Kohn, Bernd Sturmfels and Matthew Trager

Changing views on curves and surfaces

In: Acta mathematica Vietnamica, 43 (2018) 1, pp. 1-29

BibTex

 DOI: 10.1007/s40306-017-0240-1 ArXiv: 1707.01877

MiS Preprint
inBook
2018 Repository Open Access
Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin and Bernd Sturmfels

Real space sextics and their tritangents

In: ISSAC '18 proceedings of the 43rd international symposium on symbolic and algebraic computation ; New York, USA, July 16-19, 2018
New York : ACM, 2018. - pp. 247-254

BibTex

 DOI: 10.1145/3208976.3208977 ArXiv: 1712.06274

MiS Preprint

 Code: mathrepo.mis.mpg.de
inJournal
2018 Repository Open Access
Mateusz Michałek and Bernd Sturmfels

Tensoren und ihre Zerlegungen

In: Jahrbuch der Max-Planck-Gesellschaft, 2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften

BibTex

 Link: www.mpg.de
inBook
2017 Repository Open Access
Hirotachi Abo, Anna Seigal and Bernd Sturmfels

Eigenconfigurations of tensors

In: Algebraic and geometric methods in discrete mathematics / Heather A. Harrington... (eds.)
Providence, Rhode Island : American Mathematical Society, 2017. - pp. 1-25
(Contemporary mathematics ; 685)

BibTex

 DOI: 10.1090/conm/685/13717 ArXiv: 1505.05729
inJournal
2017 Repository Open Access
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels and Rekha R. Thomas

On the existence of epipolar matrices

In: International journal of computer vision, 121 (2017) 3, pp. 403-415

BibTex

 DOI: 10.1007/s11263-016-0949-7 ArXiv: 1510.01401
inJournal
2017 Repository Open Access
Mathias Drton, Thomas Kahle, Bernd Sturmfels and Caroline Uhler

Algebraic statistics : 16 April - 22 April 2017 ; report no. 20/2017

In: Oberwolfach reports, 14 (2017) 2, pp. 1207-1279

BibTex

 DOI: 10.4171/OWR/2017/20 Link: publications.mfo.de
inBook
2017 Repository Open Access
Kaie Kubjas, Pablo A. Parrilo and Bernd Sturmfels

How to flatten a soccer ball

In: Homological and computational methods in commutative algebra : dedicated to Winfried Bruns on the occasion of his 70th birthday / Aldo Conca... (eds.)
Cham : Springer, 2017. - pp. 141-162
(Springer INdAM series ; 20)

BibTex

 DOI: 10.1007/978-3-319-61943-9_9 ArXiv: 1606.02253
inBook
2017 Repository Open Access
Zuzana Kukelova, Joe Kileel, Bernd Sturmfels and Tomas Pajdla

A clever elimination strategy for efficient minimal solvers

In: 30th IEEE conference on computer vision and pattern recognition CVPR 2017, 21-26 July 2017 Honolulu, Hawaii : proceedings / Rama Chellappa... (eds.)
Piscataway, NJ : IEEE, 2017. - pp. 3605-3614

BibTex

 DOI: 10.1109/CVPR.2017.384 ArXiv: 1703.05289
inJournal
2017 Repository Open Access
Bo Lin, Bernd Sturmfels, Xiaoxian Tang and Ruriko Yoshida

Convexity in tree spaces

In: SIAM journal on discrete mathematics, 31 (2017) 3, pp. 2015-2038

BibTex

 DOI: 10.1137/16M1079841 ArXiv: 1510.08797
inJournal
2017 Journal Open Access
Mateusz Michałek, Hyunsuk Moon, Bernd Sturmfels and Emanuele Ventura

Real rank geometry of ternary forms

In: Annali di matematica pura ed applicata, 196 (2017) 3, pp. 1025-1054

BibTex

 DOI: 10.1007/s10231-016-0606-3 ArXiv: 1601.06574
inJournal
2017 Repository Open Access
Jean Ponce, Bernd Sturmfels and Matthew Trager

Congruences and concurrent lines in multi-view geometry

In: Advances in applied mathematics, 88 (2017), pp. 62-91

BibTex

 DOI: 10.1016/j.aam.2017.01.001 ArXiv: 1608.05924
inJournal
2017 Repository Open Access
Anna Seigal, Portia M. Mira, Bernd Sturmfels and Miriam Barlow

Does antibiotic resistance evolve in hospitals?

In: Bulletin of mathematical biology, 79 (2017) 1, pp. 191-208

BibTex

 DOI: 10.1007/s11538-016-0232-7 ArXiv: 1605.03660
inJournal
2017 Repository Open Access
Anna Seigal and Bernd Sturmfels

Real rank two geometry

In: Journal of algebra, 484 (2017), pp. 310-333

BibTex

 DOI: 10.1016/j.jalgebra.2017.04.014 ArXiv: 1609.09245
Book
2017
Gregory G. Smith and Bernd Sturmfels (Eds.)

Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program

New York : Springer, 2017. - viii, 390
(Fields Institute communications ; 80)
ISBN: 978-1-4939-7486-3, ISBN: 978-1-4939-7485-6

BibTex

 DOI: 10.1007/978-1-4939-7486-3
inBook
2017 Repository Open Access
Bernd Sturmfels

Fitness, apprenticeship, and polynomials

In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.)
New York : Springer, 2017. - pp. 1-19
(Fields Institute communications ; 80)

BibTex

 DOI: 10.1007/978-1-4939-7486-3_1 ArXiv: 1612.03539
inJournal
2017 Journal Open Access
Bernd Sturmfels

Message from the editor-in-chief

In: SIAM journal on applied algebra and geometry, 1 (2017) 1, pp. 1-1

BibTex

 DOI: 10.1137/17N974240
inJournal
2017 Repository Open Access
Bernd Sturmfels

The Hurwitz form of a projective variety

In: Journal of symbolic computation, 79 (2017) 1, pp. 186-196

BibTex

 DOI: 10.1016/j.jsc.2016.08.012 ArXiv: 1410.6703
inBook
2017 Repository Open Access
Matthew Trager, Bernd Sturmfels, John Canny, Martial Hebert and Jean Ponce

General models for rational cameras and the case of two-slit projections

In: 30th IEEE conference on computer vision and pattern recognition CVPR 2017, 21-26 July 2017 Honolulu, Hawaii : proceedings / Rama Chellappa... (eds.)
Piscataway, NJ : IEEE, 2017. - pp. 2520-2528

BibTex

 DOI: 10.1109/CVPR.2017.270 ArXiv: 1612.01160
inBook
2016 Repository Open Access
Carlos Améndola, Mathias Drton and Bernd Sturmfels

Maximum likelihood estimates for Gaussian mixtures are transcendental

In: Mathematical aspects of computer and information sciences : 6th international conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, revised selected papers / Ilias S. Kotsireas... (eds.)
Cham : Springer, 2016. - pp. 579-590
(Lecture notes in computer science ; 9582)

BibTex

 DOI: 10.1007/978-3-319-32859-1_49 ArXiv: 1508.06958
inJournal
2016 Journal Open Access
Carlos Améndola, Jean-Charles Faugère and Bernd Sturmfels

Moment varieties of Gaussian mixtures

In: Journal of algebraic statistics, 7 (2016) 1, pp. 14-28

BibTex

 DOI: 10.18409/jas.v7i1.42 ArXiv: 1510.04654
inBook
2016 Repository Open Access
Peter Bürgisser, Kathlén Kohn, Pierre Lairez and Bernd Sturmfels

Computing the Chow variety of quadratic space curves

In: Mathematical aspects of computer and information sciences : 6th international conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, revised selected papers / Ilias S. Kotsireas... (eds.)
Cham : Springer, 2016. - pp. 130-136
(Lecture notes in computer science ; 9582)

BibTex

 DOI: 10.1007/978-3-319-32859-1_10 ArXiv: 1508.07219
inJournal
2016 Repository Open Access
Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels and Rekha R. Thomas

The Euclidean distance degree of an algebraic variety

In: Foundations of computational mathematics, 16 (2016) 1, pp. 99-149

BibTex

 DOI: 10.1007/s10208-014-9240-x ArXiv: 1309.0049
inJournal
2016 Repository Open Access
Elizabeth Gross, Heather A. Harrington, Zvi Rosen and Bernd Sturmfels

Algebraic systems biology : a case study for the Wnt pathway

In: Bulletin of mathematical biology, 78 (2016) 1, pp. 21-51

BibTex

 DOI: 10.1007/s11538-015-0125-1 ArXiv: 1502.03188
inJournal
2016 Repository Open Access
Michael Joswig, Joe Kileel, Bernd Sturmfels and André Wagner

Rigid multiview varieties

In: International journal of algebra and computation, 26 (2016) 4, pp. 775-788

BibTex

 DOI: 10.1142/S021819671650034X ArXiv: 1509.03257
inJournal
2016 Repository Open Access
Hwangrae Lee and Bernd Sturmfels

Duality of multiple root loci

In: Journal of algebra, 446 (2016), pp. 499-526

BibTex

 DOI: 10.1016/j.jalgebra.2015.08.029 ArXiv: 1508.00202
Preprint
2016
Bo Lin, Bernd Sturmfels, Xiaoxian Tang and Ruriko Yoshida

Appendix for 'Convexity in tree spaces'

BibTex

 Link: polytopes.net
inJournal
2016 Repository Open Access
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Exponential varieties

In: Proceedings of the London Mathematical Society, 112 (2016) 1, pp. 27-56

BibTex

 DOI: 10.1112/plms/pdv066 ArXiv: 1412.6185
inJournal
2016 Repository Open Access
Luke Oeding, Elina Robeva and Bernd Sturmfels

Decomposing tensors into frames

In: Advances in applied mathematics, 73 (2016), pp. 125-153

BibTex

 DOI: 10.1016/j.aam.2015.10.004 ArXiv: 1504.08049
inJournal
2016 Repository Open Access
Qingchun Ren, Kristin Shaw and Bernd Sturmfels

Tropicalization of del Pezzo surfaces

In: Advances in mathematics, 300 (2016), pp. 156-189

BibTex

 DOI: 10.1016/j.aim.2016.03.017 ArXiv: 1402.5651
inJournal
2016 Repository Open Access
Bernd Sturmfels, Emmanuel Tsukerman and Lauren Williams

Symmetric matrices, Catalan paths, and correlations

In: Journal of combinatorial theory / A, 144 (2016), pp. 496-510

BibTex

 DOI: 10.1016/j.jcta.2016.06.014 ArXiv: 1511.04125
inJournal
2016 Journal Open Access
Bernd Sturmfels

Tensors and their eigenvectors

In: Notices of the American Mathematical Society, 63 (2016) 6, pp. 604-606

BibTex

 DOI: 10.1090/noti1389 Link: math.berkeley.edu
inJournal
2015 Repository Open Access
Elizabeth S. Allman, John A. Rhodes, Bernd Sturmfels and Piotr Zwiernik

Tensors of nonnegative rank two

In: Linear algebra and its applications, 473 (2015), pp. 37-53

BibTex

 DOI: 10.1016/j.laa.2013.10.046 ArXiv: 1305.0539
inJournal
2015 Journal Open Access
Sarah Brodsky, Michael Joswig, Ralph Morrison and Bernd Sturmfels

Moduli of tropical plane curves

In: Research in the mathematical sciences, 2 (2015) 1, p. 4

BibTex

 DOI: 10.1186/s40687-014-0018-1 ArXiv: 1409.4395
inJournal
2015 Journal Open Access
Maria Kateri, Fatemeh Mohammadi and Bernd Sturmfels

A family of quasisymmetry models

In: Journal of algebraic statistics, 6 (2015) 1, pp. 1-16

BibTex

 DOI: 10.18409/jas.v6i1.33 ArXiv: 1403.0547
inJournal
2015 Repository Open Access
Kaie Kubjas, Elina Robeva and Bernd Sturmfels

Fixed points of the EM algorithm and nonnegative rank boundaries

In: The annals of statistics, 43 (2015) 1, pp. 422-461

BibTex

 DOI: 10.1214/14-AOS1282 ArXiv: 1312.5634
Book
2015
Diane Maclagan and Bernd Sturmfels

Introduction to tropical geometry

Providence, R.I. : American Mathematical Society, 2015. - xii, 363
(Graduate studies in mathematics ; 161)
ISBN: 978-0-8218-5198-2, ISBN: 978-1-4704-2221-9, ISSN: 1065-7339

BibTex

 DOI: 10.1090/gsm/161
inJournal
2015 Journal Open Access
Portia M. Mira, Kristina Crona, Devin Greene, Juan C. Meza, Bernd Sturmfels and Miriam Barlow

Correction: Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance (vol 10, e0122283, 2015)

In: PLOS ONE, 10 (2015) 9, e0139387

BibTex

 DOI: 10.1371/journal.pone.0139387
inJournal
2015 Journal Open Access
Portia M. Mira, Kristina Crona, Devin Greene, Juan C. Meza, Bernd Sturmfels and Miriam Barlow

Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance

In: PLOS ONE, 10 (2015) 5, e0122283

BibTex

 DOI: 10.1371/journal.pone.0122283 ArXiv: 1406.1564
inJournal
2015 Repository Open Access
John Christian Ottem, Kristian Ranestad, Bernd Sturmfels and Cynthia Vinzant

Quartic spectrahedra

In: Mathematical programming, 151 (2015) 2, pp. 585-612

BibTex

 DOI: 10.1007/s10107-014-0844-3 ArXiv: 1311.3675
inJournal
2015 Repository Open Access
Qingchun Ren, Jürgen Richter-Gebert and Bernd Sturmfels

Cayley-Bacharach formulas

In: The American mathematical monthly, 122 (2015) 9, pp. 845-854

BibTex

 DOI: 10.4169/amer.math.monthly.122.9.845 ArXiv: 1405.6438
inJournal
2015 Repository Open Access
Rainer Sinn and Bernd Sturmfels

Generic spectrahedral shadows

In: SIAM journal on optimization, 25 (2015) 2, pp. 1209-1220

BibTex

 DOI: 10.1137/140978478 ArXiv: 1407.5219
Preprint
2014 Repository Open Access
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels and Rekha R. Thomas

Certifying the existence of epipolar matrices

BibTex

 ArXiv: 1407.5367
Book
2014
Aldo Conca, Sandra Di Rocco, Jan Draisma, June Huh, Bernd Sturmfels and Filippo Viviani (Eds.)

Combinatorial algebraic geometry : lecture notes from the CIME-CIRM summer school held in Levico Terme, June 10-15, 2013

Cham : Springer, 2014. - vii, 239
(Lecture notes in mathematics ; 2108)
ISBN: 978-3-319-04870-3, ISBN: 978-3-319-04869-7, ISSN: 0075-8434

BibTex

 DOI: 10.1007/978-3-319-04870-3
inBook
2014
Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels and Rekha R. Thomas

The Euclidean distance degree

In: SNC 2014 : proceedings of the 2014 symposium on symbolic-numeric computation : July 28-31, 2014, Shanghai, China / Stephen M. Watt (ed.)
New York : ACM, 2014. - pp. 9-16

BibTex

 DOI: 10.1145/2631948.2631951
inJournal
2014 Journal Open Access
Jonathan Hauenstein, Jose Israel Rodriguez and Bernd Sturmfels

Maximum likelihood for matrices with rank constraints

In: Journal of algebraic statistics, 5 (2014) 1, pp. 18-38

BibTex

 DOI: 10.18409/jas.v5i1.23 ArXiv: 1210.0198
inBook
2014 Repository Open Access
June Huh and Bernd Sturmfels

Likelihood geometry

In: Combinatorial algebraic geometry : lecture notes from the CIME-CIRM summer school held in Levico Terme, June 10-15, 2013 / Aldo Conca... (eds.)
New York : Springer, 2014. - pp. 63-117
(Lecture notes in mathematics ; 2108)

BibTex

 DOI: 10.1007/978-3-319-04870-3_3 ArXiv: 1305.7462
inJournal
2014 Repository Open Access
Shaowei Lin, Caroline Uhler, Bernd Sturmfels and Peter Bühlmann

Hypersurfaces and their singularities in partial correlation testing

In: Foundations of computational mathematics, 14 (2014) 5, pp. 1079-1116

BibTex

 DOI: 10.1007/s10208-014-9205-0 ArXiv: 1209.0285
inJournal
2014 Repository Open Access
Giorgio Ottaviani, Pierre-Jean Spaenlehauer and Bernd Sturmfels

Exact solutions in structured low-rank approximation

In: SIAM journal on matrix analysis and applications, 35 (2014) 4, pp. 1521-1542

BibTex

 DOI: 10.1137/13094520X ArXiv: 1311.2376
inJournal
2014 Repository Open Access
Qingchun Ren, Steven V. Sam and Bernd Sturmfels

Tropicalization of classical moduli spaces

In: Mathematics in computer science, 8 (2014) 2, pp. 119-145

BibTex

 DOI: 10.1007/s11786-014-0185-x ArXiv: 1303.1132
inBook
2014 Journal Open Access
Bernd Sturmfels

Maximum likelihood for matrices with rank constraints : [invited talk abstract]

In: ISSAC '14 proceedings of the 39th international symposium on symbolic and algebraic computation ; Kobe, Japan July 23-25, 2014 / Katsusuke Nabeshima (ed.)
New York : ACM, 2014. - pp. 17-17

BibTex

 DOI: 10.1145/2608628.2627490
inJournal
2013 Repository Open Access
Chris Aholt, Bernd Sturmfels and Rekha R. Thomas

A Hilbert scheme in computer vision

In: Canadian journal of mathematics, 65 (2013) 5, pp. 961-988

BibTex

 DOI: 10.4153/CJM-2012-023-2 ArXiv: 1107.2875
inJournal
2013 Repository Open Access
Dustin Cartwright and Bernd Sturmfels

The number of eigenvalues of a tensor

In: Linear algebra and its applications, 438 (2013) 2, pp. 942-952

BibTex

 DOI: 10.1016/j.laa.2011.05.040 ArXiv: 1004.4953
inJournal
2013 Repository Open Access
Eduardo Cattani, Maria Angélica Cueto, Alicia Dickenstein, Sandra Di Rocco and Bernd Sturmfels

Mixed discriminants

In: Mathematische Zeitschrift, 274 (2013) 3-4, pp. 761-778

BibTex

 DOI: 10.1007/s00209-012-1095-8 ArXiv: 1112.1012
inBook
2013 Repository Open Access
Melody Chan and Bernd Sturmfels

Elliptic curves in honeycomb form

In: Algebraic and combinatorial aspects of tropical geometry / Erwan Brugallé... (eds.)
Providence, R.I. : American Mathematical Society, 2013. - pp. 87-107
(Contemporary mathematics ; 589)

BibTex

 DOI: 10.1090/conm/589/11743 ArXiv: 1203.2356
inJournal
2013 Repository Open Access
Alexander Engström, Patricia Hersh and Bernd Sturmfels

Toric cubes

In: Rendiconti del Circolo Matematico di Palermo, 62 (2013) 1, pp. 67-78

BibTex

 DOI: 10.1007/s12215-013-0115-9 ArXiv: 1202.4333
inJournal
2013 Repository Open Access
Madhusudan Manjunath and Bernd Sturmfels

Monomials, binomials and Riemann-Roch

In: Journal of algebraic combinatorics, 37 (2013) 4, pp. 737-756

BibTex

 DOI: 10.1007/s10801-012-0386-9 ArXiv: 1201.4357
inJournal
2013 Repository Open Access
Veniamin I. Morgenshtern, Erwin Riegler, Wei Yang, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels and Helmut Bölcskei

Capacity pre-log of noncoherent SIMO channels via Hironaka's theorem

In: IEEE transactions on information theory, 59 (2013) 7, pp. 4213-4229

BibTex

 DOI: 10.1109/TIT.2013.2251394 ArXiv: 1204.2775
inJournal
2013 Repository Open Access
Giorgio Ottaviani and Bernd Sturmfels

Matrices with eigenvectors in a given subspace

In: Proceedings of the American Mathematical Society, 141 (2013) 4, pp. 1219-1232

BibTex

 DOI: 10.1090/S0002-9939-2012-11404-2 ArXiv: 1012.1016
inJournal
2013 Repository Open Access
Qingchun Ren, Steven V. Sam, Gus Schrader and Bernd Sturmfels

The universal Kummer threefold

In: Experimental mathematics, 22 (2013) 3, pp. 327-362

BibTex

 DOI: 10.1080/10586458.2013.816206 ArXiv: 1208.1229
inBook
2013
Philipp Rostalski and Bernd Sturmfels

Dualities

In: Semidefinite optimization and convex algebraic geometry / Grigoriy Blekherman... (eds.)
Philadelphia : Society for Industrial and Applied Mathematics, 2013. - pp. 203-249
(MOS-SIAM series on optimization ; 13)

BibTex
inJournal
2013 Repository Open Access
Raman Sanyal, Bernd Sturmfels and Cynthia Vinzant

The entropic discriminant

In: Advances in mathematics, 244 (2013), pp. 678-707

BibTex

 DOI: 10.1016/j.aim.2013.05.019 ArXiv: 1108.2925
inJournal
2013 Repository Open Access
Bernd Sturmfels and Piotr Zwiernik

Binary cumulant varieties

In: Annals of combinatorics, 17 (2013) 1, pp. 229-250

BibTex

 DOI: 10.1007/s00026-012-0174-1 ArXiv: 1103.0153
inJournal
2013 Repository Open Access
Bernd Sturmfels and Ngoc Mai Tran

Combinatorial types of tropical eigenvectors

In: The bulletin of the London Mathematical Society, 45 (2013) 1, pp. 27-36

BibTex

 DOI: 10.1112/blms/bds058 ArXiv: 1105.5504
inJournal
2012 Repository Open Access
Grigoriy Blekherman, Jonathan Hauenstein, John Christian Ottem, Kristian Ranestad and Bernd Sturmfels

Algebraic boundaries of Hilbert's SOS cones

In: Compositio mathematica, 148 (2012) 6, pp. 1717-1735

BibTex

 DOI: 10.1112/S0010437X12000437 ArXiv: 1107.1846
inJournal
2012 Repository Open Access
Jesús A. De Loera, Bernd Sturmfels and Cynthia Vinzant

The central curve in linear programming

In: Foundations of computational mathematics, 12 (2012) 4, pp. 509-540

BibTex

 DOI: 10.1007/s10208-012-9127-7 ArXiv: 1012.3978
inJournal
2012 Repository Open Access
Ismail Onur Filiz, Xin Guo, Jason Morton and Bernd Sturmfels

Graphical models for correlated defaults

In: Mathematical finance : an international journal of mathematics, statistics and financial economics, 22 (2012) 4, pp. 621-644

BibTex

 DOI: 10.1111/j.1467-9965.2011.00499.x ArXiv: 0809.1393
Preprint
2012
Shaowei Lin, Luke Oeding and Bernd Sturmfels

Electric network synthesis

BibTex

 Link: www.acritch.com
inBook
2012 Repository Open Access
Daniel Plaumann, Bernd Sturmfels and Cynthia Vinzant

Computing linear matrix representations of Helton-Vinnikov curves

In: Mathematical methods in systems, optimization, and control : Festschrift in honor of J. William Helton / Harry Dym... (eds.)
Basel : Springer, 2012. - pp. 259-277
(Operator theory : advances and applications ; 222)

BibTex

 DOI: 10.1007/978-3-0348-0411-0_19 ArXiv: 1011.6057
inJournal
2012 Repository Open Access
Kristian Ranestad and Bernd Sturmfels

On the convex hull of a space curve

In: Advances in geometry, 12 (2012) 1, pp. 157-178

BibTex

 DOI: 10.1515/advgeom.2011.021 ArXiv: 0912.2986
inJournal
2012 Repository Open Access
Bernd Sturmfels and Volkmar Welker

Commutative algebra of statistical ranking

In: Journal of algebra, 361 (2012), pp. 264-286

BibTex

 DOI: 10.1016/j.jalgebra.2012.03.028 ArXiv: 1101.1597
inJournal
2012 Journal Open Access
Bernd Sturmfels

Geometry of higher-order Markov chains

In: Journal of algebraic statistics, 3 (2012) 1, pp. 1-10

BibTex

 DOI: 10.18409/jas.v3i1.13 ArXiv: 1207.1899
Book
2011
Luchezar L. Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels (Eds.)

Trends in commutative algebra : [Based on lectures presented at the MSRI introductory workshop on commutative algebra held at the Mathematical Sciences Research Institute, Berkeley, CA, USA, September 9-13, 2002]

Reprint of the 2004 hardback edition. - New York : Cambridge University Press, 2011. - x, 254
(Mathematical sciences research institute publications ; 51)
ISBN: 978-0-521-16872-4, ISBN: 978-0-511-15945-9

BibTex
inJournal
2011 Repository Open Access
Sarah B. Brodsky and Bernd Sturmfels

Tropical quadrics through three points

In: Linear algebra and its applications, 435 (2011) 7, pp. 1778-1785

BibTex

 DOI: 10.1016/j.laa.2010.05.004 ArXiv: 1002.0603
inJournal
2011 Repository Open Access
Dustin Cartwright, Mathias Häbich, Bernd Sturmfels and Annette Werner

Mustafin varieties

In: Selecta mathematica, 17 (2011) 4, pp. 757-793

BibTex

 DOI: 10.1007/s00029-011-0075-x ArXiv: 1002.1418
inJournal
2011 Repository Open Access
Daniel Plaumann, Bernd Sturmfels and Cynthia Vinzant

Quartic curves and their bitangents

In: Journal of symbolic computation, 46 (2011) 6, pp. 712-733

BibTex

 DOI: 10.1016/j.jsc.2011.01.007 ArXiv: 1008.4104
inBook
2011 Repository Open Access
Kristian Ranestad and Bernd Sturmfels

The convex hull of a variety

In: Notions of positivity and the geometry of polynomials / Petter Brändén... (eds.)
Basel : Birkhäuser, 2011. - pp. 331-344
(Trends in mathematics)

BibTex

 DOI: 10.1007/978-3-0348-0142-3_18 ArXiv: 1004.3018
inBook
2011 Repository Open Access
Erwin Riegler, Veniamin I. Morgenshtern, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels and Helmut Bölcskei

Noncoherent SIMO pre-log via resolution of singularities

In: IEEE international symposium on information theory proceedings (ISIT) 2011 : July 31-August 5, 2011 in St. Petersburg, Russia
Piscataway, NY : IEEE, 2011. - pp. 2020-2024

BibTex

 DOI: 10.1109/ISIT.2011.6033909 ArXiv: 1105.6009
inJournal
2011 Repository Open Access
Raman Sanyal, Frank Sottile and Bernd Sturmfels

Orbitopes

In: Mathematika : a journal of pure and applied mathematics, 57 (2011) 2, pp. 275-314

BibTex

 DOI: 10.1112/S002557931100132X ArXiv: 0911.5436
inJournal
2010 Repository Open Access
Dustin Cartwright and Bernd Sturmfels

The Hilbert scheme of the diagonal in a product of projective spaces

In: International mathematics research notices, 2010 (2010) 9, pp. 1741-1771

BibTex

 DOI: 10.1093/imrn/rnp201 ArXiv: 0901.0212
inBook
2010 Repository Open Access
Maria Angélica Cueto, Jason Morton and Bernd Sturmfels

Geometry of the restricted Boltzmann machine

In: Algebraic methods in statistics and probability : volume 2 / Marlos A. G. Viana... (eds.)
Providence, R.I. : American Mathematical Society, 2010. - pp. 135-153
(Contemporary mathematics ; 516)

BibTex

 DOI: 10.1090/conm/516/10172 ArXiv: 0908.4425
inJournal
2010 Repository Open Access
Steven N. Evans, Bernd Sturmfels and Caroline Uhler

Commuting birth-and-death processes

In: The annals of applied probability, 20 (2010) 1, pp. 238-266

BibTex

 DOI: 10.1214/09-AAP615 ArXiv: 0812.2724
inJournal
2010 Repository Open Access
Jiawang Nie, Kristian Ranestad and Bernd Sturmfels

The algebraic degree of semidefinite programming

In: Mathematical programming, 122 (2010) 2, pp. 379-405

BibTex

 DOI: 10.1007/s10107-008-0253-6 ArXiv: math/0611562
inJournal
2010 Repository Open Access
Philipp Rostalski and Bernd Sturmfels

Dualities in convex algebraic geometry

In: Rendiconti di matematica e delle sue applicazioni, 30 (2010) 3-4, pp. 285-327

BibTex

 ArXiv: 1006.4894 Link: www1.mat.uniroma1.it
Preprint
2010
Markus Schweighofer, Bernd Sturmfels and Rekha R. Thomas

Convex algebraic geometry

BibTex

 Link: www.birs.ca
inJournal
2010 Journal Open Access
Anne Shiu and Bernd Sturmfels

Siphons in chemical reaction networks

In: Bulletin of mathematical biology, 72 (2010) 6, pp. 1448-1463

BibTex

 DOI: 10.1007/s11538-010-9502-y ArXiv: 0904.4529
inJournal
2010 Repository Open Access
Bernd Sturmfels and Mauricio Velasco

Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties

In: Journal of commutative algebra, 2 (2010) 2, pp. 223-244

BibTex

 DOI: 10.1216/JCA-2010-2-2-223 ArXiv: 0906.5096
inJournal
2010 Repository Open Access
Bernd Sturmfels and Caroline Uhler

Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry

In: Annals of the institute of statistical mathematics, 62 (2010) 4, pp. 603-638

BibTex

 DOI: 10.1007/s10463-010-0295-4 ArXiv: 0906.3529
inJournal
2010 Repository Open Access
Bernd Sturmfels and Zhiqiang Xu

Sagbi bases of Cox-Nagata rings

In: Journal of the European Mathematical Society, 12 (2010) 2, pp. 429-459

BibTex

 DOI: 10.4171/JEMS/204 ArXiv: 0803.0892
inJournal
2009 Repository Open Access
Dustin A. Cartwright, Siobhan M. Brady, David A. Orlando, Bernd Sturmfels and Philip N. Benfey

Reconstructing spatiotemporal gene expression data from partial observations

In: Bioinformatics, 25 (2009) 19, pp. 2581-2587

BibTex

 DOI: 10.1093/bioinformatics/btp437 ArXiv: 0903.4027
inJournal
2009 Repository Open Access
Gheorghe Craciun, Alicia Dickenstein, Anne Shiu and Bernd Sturmfels

Toric dynamical systems

In: Journal of symbolic computation, 44 (2009) 11, pp. 1551-1565

BibTex

 DOI: 10.1016/j.jsc.2008.08.006 ArXiv: 0708.3431
Book
2009
Mathias Drton, Bernd Sturmfels and Seth Sullivant

Lectures on algebraic statistics

Boston, MA : Birkhäuser, 2009. - viii, 171
(Oberwolfach seminars ; 39)
ISBN: 978-3-7643-8904-8, ISBN: 978-3-7643-8905-5

BibTex

 DOI: 10.1007/978-3-7643-8905-5
inJournal
2009 Repository Open Access
Pierre Dueck, Serkan Hoşten and Bernd Sturmfels

Normal toric ideals of low codimension

In: Journal of pure and applied algebra, 213 (2009) 8, pp. 1636-1641

BibTex

 DOI: 10.1016/j.jpaa.2008.11.045 ArXiv: 0801.3826
inJournal
2009
Peter Gritzmann, Bernd Sturmfels and Günter M. Ziegler

Guest editors' foreword : [special issue dedicated to the memory of Victor Klee]

In: Discrete and computational geometry, 42 (2009) 2, pp. 131-131

BibTex

 DOI: 10.1007/s00454-009-9191-1
inJournal
2009 Journal Open Access
Sven Herrmann, Anders Jensen, Michael Joswig and Bernd Sturmfels

How to draw tropical planes

In: The electronic journal of combinatorics, 16 (2009) 2, R6

BibTex

 DOI: 10.37236/72 ArXiv: 0808.2383
inJournal
2009 Repository Open Access
Reinhard Laubenbacher and Bernd Sturmfels

Computer algebra in systems biology

In: The American mathematical monthly, 116 (2009) 10, pp. 882-891

BibTex

 DOI: 10.4169/000298909X477005 ArXiv: 0712.4248
inJournal
2009 Repository Open Access
Reinhard Laubenbacher and Bernd Sturmfels

Computeralgebra in der Systembiologie

In: Informatik-Spektrum, 32 (2009) 1, pp. 27-32

BibTex

 DOI: 10.1007/s00287-008-0307-4 Link: www.researchgate.net
inJournal
2009 Journal Open Access
Shaowei Lin, Bernd Sturmfels and Zhiqiang Xu

Marginal likelihood integrals for mixtures of independence models

In: Journal of machine learning research, 10 (2009), pp. 1611-1631

BibTex

 ArXiv: 0805.3602 Link: www.jmlr.org
inJournal
2009 Repository Open Access
Shaowei Lin and Bernd Sturmfels

Polynomial relations among principal minors of a 4 x 4-matrix

In: Journal of algebra, 322 (2009) 11, pp. 4121-4131

BibTex

 DOI: 10.1016/j.jalgebra.2009.06.026 ArXiv: 0812.0601
inJournal
2009 Repository Open Access
Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels and Oliver Wienand

Convex rank tests and semigraphoids

In: SIAM journal on discrete mathematics, 23 (2009) 3, pp. 1117-1134

BibTex

 DOI: 10.1137/080715822 ArXiv: math/0702564
inJournal
2009 Repository Open Access
Jiawang Nie and Bernd Sturmfels

Matrix cubes parameterized by eigenvalues

In: SIAM journal on matrix analysis and applications, 31 (2009) 2, pp. 755-766

BibTex

 DOI: 10.1137/080722606 ArXiv: 0804.4462
inJournal
2009 Repository Open Access
David Speyer and Bernd Sturmfels

Tropical mathematics

In: Mathematics magazine, 82 (2009) 3, pp. 163-173

BibTex

 ArXiv: math/0408099 Link: www.jstor.org
inBook
2009 Repository Open Access
Bernd Sturmfels

Open problems in algebraic statistics

In: Emerging applications of algebraic geometry / Mihai Putinar... (eds.)
New York : Springer, 2009. - pp. 351-363
(The IMA volumes in mathematics and its applications ; 149)

BibTex

 DOI: 10.1007/978-0-387-09686-5_10 ArXiv: 0707.4558
inJournal
2008 Repository Open Access
Tristram Bogart, Anders Jensen, David Speyer, Bernd Sturmfels and Rekha R. Thomas

Computing tropical varieties

In: Topologica, 1 (2008) 1, P 007

BibTex

 DOI: 10.3731/topologica.1.007 ArXiv: math/0507563
inJournal
2008 Journal Open Access
Mary-Lee Dequéant, Sebastian Ahnert, Herbert Edelsbrunner, Thomas M. A. Fink, Earl F. Glynn, Gaye Hattem, Andrzej Kudlicki, Yuriy Mileyko, Jason Morton, Arcady R. Mushegian, Lior Pachter, Maga Rowicka, Anne Shiu, Bernd Sturmfels and Olivier Pourquié

Comparison of pattern detection methods in microarray time series of the segmentation clock

In: PLOS ONE, 3 (2008) 8, e2856

BibTex

 DOI: 10.1371/journal.pone.0002856
inJournal
2008 Journal Open Access
Peter Gritzmann and Bernd Sturmfels

Victor L. Klee 1925-2007

In: Notices of the American Mathematical Society, 55 (2008) 4, pp. 467-473

BibTex

 Link: www.ams.org
inJournal
2008 Repository Open Access
Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels and Oliver Wienand

Three counter-examples on semi-graphoids

In: Combinatorics, probability and computing, 17 (2008) 02, pp. 239-257

BibTex

 DOI: 10.1017/S0963548307008838 ArXiv: math/0610451
inJournal
2008 Repository Open Access
Peter Huggins, Bernd Sturmfels, Josephine Yu and Debbie S. Yuster

The hyperdeterminant and triangulations of the 4-cube

In: Mathematics of computation, 77 (2008) 263, pp. 1653-1679

BibTex

 ArXiv: math/0602149 Link: www.jstor.org
inBook
2008 Repository Open Access
Jiawang Nie, Pablo A. Parrilo and Bernd Sturmfels

Semidefinite representation of the \({k}\)-ellipse

In: Algorithms in algebraic geometry / Alicia Dickenstein... (eds.)
New York : Springer, 2008. - pp. 117-132
(The IMA volumes in mathematics and its applications ; 146)

BibTex

 DOI: 10.1007/978-0-387-75155-9_7 ArXiv: math/0702005
Book
2008
Bernd Sturmfels

Algorithms in invariant theory

Second edition. - Wien : Springer, 2008. - p. 197
(Texts and monographs in symbolic computation)
ISBN: 978-3-211-77416-8, ISBN: 978-3-211-77417-5

BibTex

 DOI: 10.1007/978-3-211-77417-5
inJournal
2008 Repository Open Access
Bernd Sturmfels and Jenia Tevelev

Elimination theory for tropical varieties

In: Mathematical research letters, 15 (2008) 3, pp. 543-562

BibTex

 DOI: 10.4310/MRL.2008.v15.n3.a14 ArXiv: 0704.3471
inJournal
2008 Repository Open Access
Bernd Sturmfels and Seth Sullivant

Toric geometry of cuts and splits

In: The Michigan mathematical journal, 57 (2008), pp. 689-709

BibTex

 DOI: 10.1307/mmj/1220879432 ArXiv: math/0606683
inBook
2008 Repository Open Access
Bernd Sturmfels and Josephine Yu

Tropical implicitization and mixed fiber polytopes

In: Software for algebraic geometry / Michael E. Stillman... (eds.)
New York : Springer, 2008. - pp. 111-131
(The IMA volumes in mathematics and its applications ; 148)

BibTex

 DOI: 10.1007/978-0-387-78133-4_7 ArXiv: 0706.0564
inJournal
2007 Journal Open Access
Niko Beerenwinkel, Lior Pachter, Bernd Sturmfels, Santiago F. Elena and Richard E. Lenski

Analysis of epistatic interactions and fitness landscapes using a new geometric approach

In: BMC evolutionary biology, 7 (2007), p. 60

BibTex

 DOI: 10.1186/1471-2148-7-60
inJournal
2007 Repository Open Access
Niko Beerenwinkel, Nicholas Eriksson and Bernd Sturmfels

Conjunctive Bayesian networks

In: Bernoulli, 13 (2007) 4, pp. 893-909

BibTex

 DOI: 10.3150/07-BEJ6133 ArXiv: math/0608417
inJournal
2007 Repository Open Access
Niko Beerenwinkel, Lior Pachter and Bernd Sturmfels

Epistasis and shapes of fitness landscapes

In: Statistica Sinica, 17 (2007) 4, pp. 1317-1342

BibTex

 ArXiv: q-bio/0603034 Link: www.jstor.org
inJournal
2007 Repository Open Access
Tristram Bogart, Anders Jensen, David Speyer, Bernd Sturmfels and Rekha R. Thomas

Computing tropical varieties

In: Journal of symbolic computation, 42 (2007) 1-2, pp. 54-73

BibTex

 DOI: 10.1016/j.jsc.2006.02.004 ArXiv: math/0507563
inJournal
2007 Repository Open Access
Alicia Dickenstein, Eva Maria Feichtner and Bernd Sturmfels

Tropical discriminants

In: Journal of the American Mathematical Society, 20 (2007) 4, pp. 1111-1133

BibTex

 DOI: 10.1090/S0894-0347-07-00562-0 ArXiv: math/0510126
inJournal
2007 Repository Open Access
Mathias Drton, Bernd Sturmfels and Seth Sullivant

Algebraic factor analysis : tetrads, pentads and beyond

In: Probability theory and related fields, 138 (2007) 3-4, pp. 463-493

BibTex

 DOI: 10.1007/s00440-006-0033-2 ArXiv: math/0509390
inJournal
2007 Repository Open Access
Olga Holtz and Bernd Sturmfels

Hyperdeterminantal relations among symmetric principal minors

In: Journal of algebra, 316 (2007) 2, pp. 634-648

BibTex

 DOI: 10.1016/j.jalgebra.2007.01.039 ArXiv: math/0604374
inJournal
2007 Repository Open Access
Serkan Hoşten and Bernd Sturmfels

Computing the integer programming gap

In: Combinatorica, 27 (2007) 3, pp. 367-382

BibTex

 DOI: 10.1007/s00493-007-2057-3 ArXiv: math/0301266
inJournal
2007 Repository Open Access
Peter Huggins, Lior Pachter and Bernd Sturmfels

Toward the human genotope

In: Bulletin of mathematical biology, 69 (2007) 8, pp. 2723-2735

BibTex

 DOI: 10.1007/s11538-007-9244-7 ArXiv: q-bio/0611032
inJournal
2007 Repository Open Access
Michael Joswig, Bernd Sturmfels and Josephine Yu

Affine buildings and tropical convexity

In: Albanian journal of mathematics, 1 (2007) 4, pp. 187-211

BibTex

 ArXiv: 0706.1918
Book
2007
Ezra Miller, Victor Reiner and Bernd Sturmfels (Eds.)

Geometric combinatorics : lectures from the graduate summer school held in Park City, UT, 2004

Providence, R.I. : American Mathematical Society, 2007. - xii, 691
(IAS/Park City mathematics series ; 13)
ISBN: 978-0-8218-3736-8, ISBN: 978-1-4704-3912-5, ISBN: 0-8218-3736-2, ISSN: 1079-5634

BibTex

 DOI: 10.1090/pcms/013
inJournal
2007 Repository Open Access
Jason Morton, Lior Pachter, Anne Shiu and Bernd Sturmfels

The cyclohedron test for finding periodic genes in time course expression studies

In: Statistical applications in genetics and molecular biology, 6 (2007) 1, p. 21

BibTex

 DOI: 10.2202/1544-6115.1286 ArXiv: q-bio/0702049
inJournal
2007 Repository Open Access
Lior Pachter and Bernd Sturmfels

The mathematics of phylogenomics

In: SIAM review, 49 (2007) 1, pp. 3-31

BibTex

 DOI: 10.1137/050632634 ArXiv: math/0409132
inJournal
2007 Repository Open Access
Bernd Sturmfels, Jenia Tevelev and Josephine Yu

The Newton polytope of the implicit equation

In: Moscow mathematical journal, 7 (2007) 2, pp. 327-346

BibTex

 ArXiv: math/0607368 Link: www.ams.org
inJournal
2006 Repository Open Access
Niko Beerenwinkel, Nicholas Eriksson and Bernd Sturmfels

Evolution on distributive lattices

In: Journal of theoretical biology, 242 (2006) 2, pp. 409-420

BibTex

 DOI: 10.1016/j.jtbi.2006.03.013 ArXiv: q-bio/0511039
inJournal
2006 Repository Open Access
Fabrizio Catanese, Serkan Hoşten, Amit Khetan and Bernd Sturmfels

The maximum likelihood degree

In: American journal of mathematics, 128 (2006) 3, pp. 671-697

BibTex

 DOI: 10.1353/ajm.2006.0019 ArXiv: math/0406533
inJournal
2006 Journal Open Access
Omar Colón-Reyes, Abdul Salam Jarrah, Reinhard Laubenbacher and Bernd Sturmfels

Monomial dynamical systems over finite fields

In: Complex systems, 16 (2006) 4, pp. 333-342

BibTex

 ArXiv: math/0605439 Link: www.complex-systems.com
inJournal
2006 Journal Open Access
Colin N. Dewey, Peter M. Huggins, Kevin Woods, Bernd Sturmfels and Lior Pachter

Parametric alignment of Drosophila genomes

In: PLoS computational biology, 2 (2006) 6, pp. 606-614

BibTex

 DOI: 10.1371/journal.pcbi.0020073 ArXiv: q-bio/0512008
inBook
2006 Repository Open Access
Ioannis A. Fotiou, Philipp Rostalski, Bernd Sturmfels and Manfred Morari

An algebraic geometry approach to nonlinear parametric optimization in control

In: Proceedings of the 2006 american control conference : Minneapolis, Minnesota, USA, June 14-16, 2006
New York : IEEE, 2006. - pp. 3618-3623
(1-12)

BibTex

 DOI: 10.1109/ACC.2006.1657280 ArXiv: math/0509288
inJournal
2006 Repository Open Access
Dan Geiger, Christopher Meek and Bernd Sturmfels

On the toric algebra of graphical models

In: The annals of statistics, 34 (2006) 3, pp. 1463-1492

BibTex

 DOI: 10.1214/009053606000000263 ArXiv: math/0608054
inJournal
2006 Repository Open Access
Ingileif B. Hallgrimsdóttir and Bernd Sturmfels

Resultants in genetic linkage analysis

In: Journal of symbolic computation, 41 (2006) 2, pp. 125-137

BibTex

 DOI: 10.1016/j.jsc.2005.04.012 ArXiv: q-bio/0405001
inBook
2006 Repository Open Access
Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels and Oliver Wienand

Geometry of rank tests

In: Proceedings of the third european workshop on probabilistic graphical models : Prague, Czech Republic, September 12-15, 2006 / Milan StudenÔy... (eds.)
Prague : Agentura Action M, 2006.

BibTex

 ArXiv: math/0605173 Link: www.utia.cas.cz
inJournal
2006 Repository Open Access
Jiawang Nie, James Demmel and Bernd Sturmfels

Minimizing polynomials via sum of squares over the gradient ideal

In: Mathematical programming, 106 (2006) 3, pp. 587-606

BibTex

 DOI: 10.1007/s10107-005-0672-6 ArXiv: math/0411342
inJournal
2006 Repository Open Access
Bernd Sturmfels and Seth Sullivant

Combinatorial secant varieties

In: Pure and applied mathematics quarterly, 2 (2006) 3, pp. 867-891

BibTex

 DOI: 10.4310/PAMQ.2006.v2.n3.a12 ArXiv: math/0506223
inJournal
2005 Repository Open Access
Klaus Altmann and Bernd Sturmfels

The graph of monomial ideals

In: Journal of pure and applied algebra, 201 (2005) 1-3, pp. 250-263

BibTex

 DOI: 10.1016/j.jpaa.2004.12.030 ArXiv: math/0209152
inBook
2005 Repository Open Access
Mike Develin, Francisco Santos and Bernd Sturmfels

On the rank of a tropical matrix

In: Combinatorial and computational geometry / Jacob Eli Goodman... (eds.)
Cambridge : Cambridge University Press, 2005. - pp. 213-242
(Mathematical sciences research institute publications ; 52)

BibTex

 ArXiv: math/0312114 Link: library.msri.org
inBook
2005 Repository Open Access
Nicholas Eriksson, Kristian Ranestad, Bernd Sturmfels and Seth Sullivant

Phylogenetic algebraic geometry

In: Projective varieties with unexpected properties : a volume in memory of Giuseppe Veronese ; proceedings of the international conference 'Varieties with Unexpected Properties', Siena, Italy, June 8-13, 2004 / Ciro Ciliberto... (eds.)
Berlin : de Gruyter, 2005. - pp. 237-255

BibTex

 DOI: 10.1515/9783110199703.237 ArXiv: math/0407033
inJournal
2005 Repository Open Access
Eva Maria Feichtner and Bernd Sturmfels

Matroid polytopes, nested sets and Bergman fans

In: Portugaliae mathematica, 62 (2005) 4, pp. 437-468

BibTex

 ArXiv: math/0411260 Link: www.emis.ams.org
inJournal
2005 Repository Open Access
Luis David Garcia, Michael E. Stillman and Bernd Sturmfels

Algebraic geometry of Bayesian networks

In: Journal of symbolic computation, 39 (2005) 3-4, pp. 331-355

BibTex

 DOI: 10.1016/j.jsc.2004.11.007 ArXiv: math/0301255
inJournal
2005 Repository Open Access
Serkan Hoşten, Amit Khetan and Bernd Sturmfels

Solving the likelihood equations

In: Foundations of computational mathematics, 5 (2005) 4, pp. 389-407

BibTex

 DOI: 10.1007/s10208-004-0156-8 ArXiv: math/0408270
Book
2005
Ezra Miller and Bernd Sturmfels

Combinatorial commutative algebra

New York : Springer, 2005. - xiv, 417
(Graduate texts in mathematics ; 227)
ISBN: 978-0-387-22356-8, ISBN: 978-0-387-27103-3, ISBN: 0-387-22356-8, ISSN: 0072-5285

BibTex

 DOI: 10.1007/b138602
inBook
2005
Lior Pachter and Bernd Sturmfels

Algebra [chapter 3]

In: Algebraic statistics for computational biology / Lior Pachter... (eds.)
Cambridge : Cambridge University Press, 2005. - pp. 85-124

BibTex

 DOI: 10.1017/CBO9780511610684.006
Book
2005
Lior Pachter and Bernd Sturmfels (Eds.)

Algebraic statistics for computational biology

Cambridge : Cambridge University Press, 2005. - xii, 420
ISBN: 0-521-85700-7, ISBN: 978-0-521-85700-0

BibTex

 DOI: 10.1017/CBO9780511610684
inBook
2005
Lior Pachter and Bernd Sturmfels

Computation [chapter 2]

In: Algebraic statistics for computational biology / Lior Pachter... (eds.)
Cambridge : Cambridge University Press, 2005. - pp. 43-84

BibTex

 DOI: 10.1017/CBO9780511610684.005
inBook
2005
Lior Pachter and Bernd Sturmfels

Preface

In: Algebraic statistics for computational biology / Lior Pachter... (eds.)
Cambridge : Cambridge University Press, 2005. - ix-x

BibTex

 DOI: 10.1017/CBO9780511610684.001
inBook
2005
Lior Pachter and Bernd Sturmfels

Statistics [chapter 1]

In: Algebraic statistics for computational biology / Lior Pachter... (eds.)
Cambridge : Cambridge University Press, 2005. - pp. 3-42

BibTex

 DOI: 10.1017/CBO9780511610684.004
inBook
2005 Repository Open Access
Jürgen Richter-Gebert, Bernd Sturmfels and Thorsten Theobald

First steps in tropical geometry

In: Idempotent mathematics and mathematical physics : international workshop February 3-10, 2003 Erwin Schrödinger international institute for mathematical physics Vienna, Austria / Grigory L. Litvinov... (eds.)
Providence, R.I. : American Mathematical Society, 2005. - pp. 289-317
(Contemporary mathematics ; 377)

BibTex

 DOI: 10.1090/conm/377/06998 ArXiv: math/0306366
inJournal
2005
Bernd Sturmfels

Can biology lead to new theorems?

In: Annual report of the Clay Mathematics Institute, 2005 (2005), pp. 13-26

BibTex

 Link: groups.claymath.org
inJournal
2005 Repository Open Access
Bernd Sturmfels and Seth Sullivant

Toric ideals of phylogenetic invariants

In: Journal of computational biology, 12 (2005) 2, pp. 204-228

BibTex

 DOI: 10.1089/cmb.2005.12.204 ArXiv: q-bio/0402015
inJournal
2005 Journal Open Access
Bernd Sturmfels

What is a Gröbner basis?

In: Notices of the American Mathematical Society, 52 (2005) 10, pp. 1199-1200

BibTex

 Link: www.ams.org
Book
2004
Luchezar L. Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels (Eds.)

Trends in commutative algebra : [Based on lectures presented at the MSRI introductory workshop on commutative algebra held at the Mathematical Sciences Research Institute, Berkeley, CA, USA, September 9-13, 2002]

New York : Cambridge University Press, 2004. - x, 254
(Mathematical sciences research institute publications ; 51)
ISBN: 978-0-521-83195-6, ISBN: 978-0-521-16872-4, ISBN: 0-521-83195-4, ISBN: 0-511-15945-5

BibTex
inJournal
2004 Repository Open Access
Jesús A. De Loera, David Haws, Raymond Hemmecke, Peter Huggins, Bernd Sturmfels and Ruriko Yoshida

Short rational functions for toric algebra and applications

In: Journal of symbolic computation, 38 (2004) 2, pp. 959-973

BibTex

 DOI: 10.1016/j.jsc.2004.02.001 ArXiv: math/0307350
inJournal
2004 Journal Open Access
Mike Develin and Bernd Sturmfels

Erratum for 'Tropical convexity' [Doc. Math. 9 (2004), 1-27]

In: Documenta mathematica, 9 (2004), pp. 205-206

BibTex

 Link: www.emis.ams.org
inJournal
2004 Journal Open Access
Mike Develin and Bernd Sturmfels

Tropical convexity

In: Documenta mathematica, 9 (2004), pp. 1-27

BibTex

 ArXiv: math/0308254 Link: www.math.uni-bielefeld.de
inJournal
2004 Repository Open Access
Mark Haiman and Bernd Sturmfels

Multigraded Hilbert schemes

In: Journal of algebraic geometry, 13 (2004) 4, pp. 725-769

BibTex

 DOI: 10.1090/S1056-3911-04-00373-X ArXiv: math/0201271
inJournal
2004 Repository Open Access
Serkan Hoşten, Diane Maclagan and Bernd Sturmfels

Supernormal vector configurations

In: Journal of algebraic combinatorics, 19 (2004) 3, pp. 297-313

BibTex

 DOI: 10.1023/B:JACO.0000030705.93448.ce ArXiv: math/0105036
inJournal
2004 Repository Open Access
Lior Pachter and Bernd Sturmfels

Parametric inference for biological sequence analysis

In: Proceedings of the National Academy of Sciences of the United States of America, 101 (2004) 46, pp. 16138-16143

BibTex

 DOI: 10.1073/pnas.0406011101 ArXiv: q-bio/0401033
inJournal
2004 Repository Open Access
Lior Pachter and Bernd Sturmfels

Tropical geometry of statistical models

In: Proceedings of the National Academy of Sciences of the United States of America, 101 (2004) 46, pp. 16132-16137

BibTex

 DOI: 10.1073/pnas.0406010101 ArXiv: q-bio/0311009
inJournal
2004 Repository Open Access
David Speyer and Bernd Sturmfels

The tropical Grassmannian

In: Advances in geometry, 4 (2004) 3, pp. 389-411

BibTex

 DOI: 10.1515/advg.2004.023 ArXiv: math/0304218
inBook
2004 Repository Open Access
Bernd Sturmfels

Algebraic recipes for integer programming

In: Trends in Optimization / Serkan Hoşten... (eds.)
Providence, R.I. : American Mathematical Society, 2004. - pp. 99-113
(Proceedings of symposia in applied mathematics ; 61)

BibTex

 DOI: 10.1090/psapm/061/2104733 ArXiv: math/0310194
inJournal
2004 Journal Open Access
Bernd Sturmfels and Josephine Yu

Classification of six-point metrics

In: The electronic journal of combinatorics, 11 (2004) 1, R44

BibTex

 DOI: 10.37236/1797 ArXiv: math/0403147
inJournal
2003 Repository Open Access
Jesús A. De Loera and Bernd Sturmfels

Algebraic unimodular counting

In: Mathematical programming, 96 (2003) 2, pp. 183-203

BibTex

 DOI: 10.1007/s10107-003-0383-9 ArXiv: math/0104286
inBook
2003 Repository Open Access
Pablo A. Parrilo and Bernd Sturmfels

Minimizing polynomial functions

In: Algorithmic and quantitative real algebraic geometry : proceedings of the DIMACS workshop on algorithmic and quantitative aspects of real algebraic geometry in mathematics and computer science, DIMACS Center, March 12-16, 2001 / Saugata Basu... (eds.)
Providence, R.I. : American Mathematical Society, 2003. - pp. 83-99
(Series in discrete mathematics and theoretical computer science ; 60)

BibTex

 ArXiv: math/0103170
inJournal
2003 Repository Open Access
Francisco Santos and Bernd Sturmfels

Alexander duality in subdivisions of Lawrence polytopes

In: Advances in geometry, 3 (2003) 2, pp. 177-189

BibTex

 DOI: 10.1515/advg.2003.012 ArXiv: math/0202104
inJournal
2003 Repository Open Access
Francisco Santos and Bernd Sturmfels

Higher Lawrence configurations

In: Journal of combinatorial theory / A, 103 (2003) 1, pp. 151-164

BibTex

 DOI: 10.1016/S0097-3165(03)00092-X ArXiv: math/0209326
inJournal
2002 Repository Open Access
Eduardo Cattani, Alicia Dickenstein and Bernd Sturmfels

Binomial residues

In: Annales de l'Institut Fourier, 52 (2002) 3, pp. 687-708

BibTex

 DOI: 10.5802/aif.1898 ArXiv: math/0003178
inJournal
2002
Jesús A. De Loera, Frank Sottile and Bernd Sturmfels

Guest editors' foreword : [papers from the special session on algebraic and geometric combinatorics at the AMS Western Section Meeting, San Francisco, CA, USA, October 21-22 and the Bay Area Discrete Math Day, University of California, Davis, CA, USA, October 20, 2000]

In: Discrete and computational geometry, 27 (2002) 1, pp. 1-2

BibTex

 DOI: 10.1007/s00454-001-0048-5
inJournal
2002 Repository Open Access
Alicia Dickenstein and Bernd Sturmfels

Elimination theory in codimension 2

In: Journal of symbolic computation, 34 (2002) 2, pp. 119-135

BibTex

 DOI: 10.1006/jsco.2002.0545 ArXiv: math/0102204
Book
2002
David Eisenbud, Daniel R. Grayson, Michael E. Stillman and Bernd Sturmfels (Eds.)

Computations in algebraic geometry with Macaulay 2

Berlin : Springer, 2002. - xiii, 329
(Algorithms and computation in mathematics ; 8)
ISBN: 978-3-642-07592-6, ISBN: 978-3-662-04851-1, ISBN: 3-540-42230-7, ISSN: 1431-1550

BibTex

 DOI: 10.1007/978-3-662-04851-1
inBook
2002 Repository Open Access
Dan Geiger, Christopher Meek and Bernd Sturmfels

Factorization of discrete probability distributions

In: Uncertainty in artificial intelligence : proceedings of the eighteenth conference (2002) ; August 1-4, 2002, University of Alberta, Edmonton / Adnan Darwiche (ed.)
San Francisco : Morgan Kaufmann, 2002. - pp. 162-169

BibTex

 ArXiv: 1301.0568
inJournal
2002 Journal Open Access
Tamás Hausel and Bernd Sturmfels

Toric hyperkähler varieties

In: Documenta mathematica, 7 (2002), pp. 495-534

BibTex

 ArXiv: math/0203096 Link: www.math.uni-bielefeld.de
inJournal
2002 Repository Open Access
Isabella Novik, Alexander Postnikov and Bernd Sturmfels

Syzygies of oriented matroids

In: Duke mathematical journal, 111 (2002) 2, pp. 287-317

BibTex

 DOI: 10.1215/S0012-7094-02-11124-7 ArXiv: math/0009241
inBook
2002 Repository Open Access
Gregory G. Smith and Bernd Sturmfels

Teaching the geometry of schemes

In: Computations in algebraic geometry with Macaulay 2 / David Eisenbud... (eds.)
Berlin : Springer, 2002. - pp. 55-70
(Algorithms and computation in mathematics ; 8)

BibTex

 DOI: 10.1007/978-3-662-04851-1_4 ArXiv: math/0003033
inBook
2002 Repository Open Access
Michael E. Stillman, Bernd Sturmfels and Rekha R. Thomas

Algorithms for the toric Hilbert scheme

In: Computations in algebraic geometry with Macaulay 2 / David Eisenbud... (eds.)
Berlin : Springer, 2002. - pp. 179-214
(Algorithms and computation in mathematics ; 8)

BibTex

 DOI: 10.1007/978-3-662-04851-1_8 ArXiv: math/0010130
inBook
2002
Bernd Sturmfels

Ideals, varieties and Macaulay 2

In: Computations in algebraic geometry with Macaulay 2 / David Eisenbud... (eds.)
Berlin : Springer, 2002. - pp. 3-15
(Algorithms and computation in mathematics ; 8)

BibTex

 DOI: 10.1007/978-3-662-04851-1_1
Book
2002
Bernd Sturmfels

Solving systems of polynomial equations

Providence, R.I. : American Mathematical Society, 2002. - VIII, 152
(CBMS regional conference series in mathematics ; 97)
ISBN: 978-0-8218-3251-6, ISBN: 978-1-4704-2457-2, ISBN: 0-8218-3251-4, ISSN: 0160-7642

BibTex

 DOI: 10.1090/cbms/097
inJournal
2001 Repository Open Access
Dave Bayer, Sorin Popescu and Bernd Sturmfels

Syzygies of unimodular Lawrence ideals

In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 2001 (2001) 534, pp. 169-186

BibTex

 DOI: 10.1515/crll.2001.040 ArXiv: math/9912247
inJournal
2001 Repository Open Access
Eduardo Cattani, Alicia Dickenstein and Bernd Sturmfels

Rational hypergeometric functions

In: Compositio mathematica, 128 (2001) 2, pp. 217-240

BibTex

 DOI: 10.1023/A:1017541231618 ArXiv: math/9911030
inJournal
2001 Repository Open Access
Frank Sottile and Bernd Sturmfels

A sagbi basis for the quantum Grassmannian

In: Journal of pure and applied algebra, 158 (2001) 2-3, pp. 347-366

BibTex

 DOI: 10.1016/S0022-4049(00)00053-0 ArXiv: math/9908016
inBook
2001
Bernd Sturmfels

Gröbner bases of abelian matrix groups

In: Symbolic computation : solving equations in algebra, geometry, and engineering / Edward L. Green... (eds.)
Providence, R.I. : American Mathematical Society, 2001. - pp. 141-143
(Contemporary mathematics ; 286)

BibTex

 DOI: 10.1090/conm/286/04760
Preprint
2000
Jesús A. De Loera and Bernd Sturmfels

Counting network flows

BibTex

 Link: www.math.ucdavis.edu
inJournal
2000 Repository Open Access
Ezra Miller, Bernd Sturmfels and Kohji Yanagawa

Generic and cogeneric monomial ideals

In: Journal of symbolic computation, 29 (2000) 4-5, pp. 691-708

BibTex

 DOI: 10.1006/jsco.1999.0290 ArXiv: math/9812126
Book
2000
Mutsumi Saito, Bernd Sturmfels and Nobuki Takayama

Gröbner deformations of hypergeometric differential equations

Berlin : Springer, 2000. - viiI, 254
(Algorithms and computation in mathematics ; 6)
ISBN: 978-3-642-08534-5, ISBN: 978-3-662-04112-3, ISSN: 1431-1550

BibTex

 DOI: 10.1007/978-3-662-04112-3
inJournal
2000
Bernd Sturmfels

Four counterexamples in combinatorial algebraic geometry

In: Journal of algebra, 230 (2000) 1, pp. 282-294

BibTex

 DOI: 10.1006/jabr.1999.7950
inJournal
2000
Bernd Sturmfels

Solving algebraic equations in terms of A-hypergeometric series

In: Discrete mathematics, 210 (2000) 1-3, pp. 171-181

BibTex

 DOI: 10.1016/S0012-365X(99)00126-0
Book
1999
Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil L. White and Günter M. Ziegler (Eds.)

Oriented matroids

Second edtion. - Cambridge : Cambridge University Press, 1999. - XII, 548
(Encyclopedia of mathematics and its applications ; 46)
ISBN: 0-521-77750-x, ISBN: 978-0-521-77750-6, ISBN: 978-0-511-89363-6

BibTex

 DOI: 10.1017/CBO9780511586507
inBook
1999
Ezra Miller and Bernd Sturmfels

Monomial ideals and planar graphs

In: Applied algebra, algebraic algorithms and error-correcting codes : 13th international symposium, AAECC-13 Honolulu, Hawaii, USA, November 15-19, 1999 proceedings / Marc Fossorier... (eds.)
Berlin : Springer, 1999. - pp. 19-28
(Lecture notes in computer science ; 1719)

BibTex

 DOI: 10.1007/3-540-46796-3_3
inJournal
1999
Shmuel Onn and Bernd Sturmfels

Cutting corners

In: Advances in applied mathematics, 23 (1999) 1, pp. 29-48

BibTex

 DOI: 10.1006/aama.1999.0645
inJournal
1999 Repository Open Access
Mutsumi Saito, Bernd Sturmfels and Nobuki Takayama

Hypergeometric polynomials and integer programming

In: Compositio mathematica, 115 (1999) 2, pp. 231-240

BibTex

 DOI: 10.1023/A:1000609524994 Link: www.researchgate.net
inBook
1999
Bernd Sturmfels

The Co-Scarf resolution

In: Commutative algebra, algebraic geometry, and computational methods : proceedings of the conference on algebraic geometry, commutative algebra, and computation, Hanoi, Vietnam, 1996 / David Eisenbud (ed.)
Singapore : Springer, 1999. - pp. 315-320

BibTex
inJournal
1999
Bernd Sturmfels, Eduardo Cattani and Alicia Dickenstein

The search for rational A-hypergeometric functions

In: ACM Communications in computer algebra, 33 (1999) 3, pp. 15-15

BibTex

 DOI: 10.1145/347127.347197
inJournal
1998 Repository Open Access
Dave Bayer and Bernd Sturmfels

Cellular resolutions of monomial modules

In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 502 (1998), pp. 123-140

BibTex

 DOI: 10.1515/crll.1998.083 ArXiv: alg-geom/9711023
inJournal
1998 Repository Open Access
Dave Bayer, Irena Peeva and Bernd Sturmfels

Monomial resolutions

In: Mathematical research letters, 5 (1998) 1-2, pp. 31-46

BibTex

 DOI: 10.4310/MRL.1998.v5.n1.a3 ArXiv: alg-geom/9610012
inJournal
1998 Repository Open Access
Eduardo Cattani, Alicia Dickenstein and Bernd Sturmfels

Residues and resultants

In: Journal of mathematical sciences, 5 (1998) 1, pp. 119-148

BibTex

 ArXiv: alg-geom/9702001 Link: www.ms.u-tokyo.ac.jp
Book
1998
David A. Cox and Bernd Sturmfels (Eds.)

Applications of computational algebraic geometry : lectures presented at the American Mathematical Society ; short course held in San Diego, CA, January 6-7, 1997

Providence, R.I. : American Mathematical Society, 1998. - ix, 172
(Proceedings of symposia in applied mathematics ; 53)
ISBN: 978-0-8218-0750-7, ISBN: 978-0-8218-9268-8, ISBN: 0-8218-0750-1

BibTex

 DOI: 10.1090/psapm/053
inJournal
1998
Persi Diaconis and Bernd Sturmfels

Algebraic algorithms for sampling from conditional distributions

In: The annals of statistics, 26 (1998) 1, pp. 363-397

BibTex

 Link: www.jstor.org
inBook
1998
Persi Diaconis, David Eisenbud and Bernd Sturmfels

Lattice walks and primary decomposition

In: Mathematical essays in honor of Gian-Carlo Rota / Bruce Eli Sagan... (eds.)
Boston : Birkhäuser, 1998. - pp. 173-193
(Progress in mathematics ; 161)

BibTex

 DOI: 10.1007/978-1-4612-4108-9_8
inJournal
1998 Repository Open Access
David Eisenbud, Irena Peeva and Bernd Sturmfels

Non-commutative Gröbner bases for commutative algebras

In: Proceedings of the American Mathematical Society, 126 (1998) 3, pp. 687-691

BibTex

 DOI: 10.1090/S0002-9939-98-04229-4 Link: www.researchgate.net
inJournal
1998 Repository Open Access
Birkett Huber, Frank Sottile and Bernd Sturmfels

Numerical Schubert calculus

In: Journal of symbolic computation, 26 (1998) 6, pp. 767-788

BibTex

 DOI: 10.1006/jsco.1998.0239 ArXiv: alg-geom/9706004
inJournal
1998
Irena Peeva and Bernd Sturmfels

Generic lattice ideals

In: Journal of the American Mathematical Society, 11 (1998) 2, pp. 363-373

BibTex

 Link: www.jstor.org
inJournal
1998
Irena Peeva, Victor Reiner and Bernd Sturmfels

How to shell a monoid

In: Mathematische Annalen, 310 (1998) 2, pp. 379-393

BibTex

 DOI: 10.1007/s002080050152
inJournal
1998 Repository Open Access
Irena Peeva and Bernd Sturmfels

Syzygies of codimension 2 lattice ideals

In: Mathematische Zeitschrift, 229 (1998) 1, pp. 163-194

BibTex

 DOI: 10.1007/PL00004645
inJournal
1998
Jan-Erik Roos and Bernd Sturmfels

A toric ring with irrational Poincare-Betti series

In: Comptes rendus de l'Académie des Sciences / 1, 326 (1998) 2, pp. 141-146

BibTex

 DOI: 10.1016/S0764-4442(97)89459-1
inJournal
1998 Journal Open Access
Mutsumi Saito, Bernd Sturmfels and Nobuki Takayama

Gröbner deformations of regular holonomic systems

In: Proceedings of the Japan Academy : series A, mathematical sciences, 74 (1998) 7, pp. 111-113

BibTex

 DOI: 10.3792/pjaa.74.111
inBook
1998
Bernd Sturmfels and Nobuki Takayama

Gröbner bases and hypergeometric functions

In: Gröbner bases and applications : [Proceedings of the conference 33 years of Gröbner bases] / Bruno Buchberger... (eds.)
Cambridge : Cambridge University Press, 1998. - pp. 246-258
(London Mathematical Society lecture note series ; 251)

BibTex
inBook
1998
Bernd Sturmfels

Introduction to resultants

In: Applications of computational algebraic geometry : lectures presented at the American Mathematical Society ; short course held in San Diego, CA, January 6-7, 1997 / David A. Cox... (eds.)
Providence, R.I. : American Mathematical Society, 1998. - pp. 25-39
(Proceedings of symposia in applied mathematics ; 53)

BibTex

 DOI: 10.1090/psapm/053/1602347
inJournal
1998
Bernd Sturmfels

Polynomial equations and convex polytopes

In: The American mathematical monthly, 105 (1998) 10, pp. 907-922

BibTex

 DOI: 10.2307/2589283
inJournal
1997 Repository Open Access
William Fulton and Bernd Sturmfels

Intersection theory on toric varieties

In: Topology, 36 (1997) 2, pp. 335-353

BibTex

 DOI: 10.1016/0040-9383(96)00016-X ArXiv: alg-geom/9403002
inJournal
1997
John Guckenheimer, Mark Myers and Bernd Sturmfels

Computing Hopf bifurcations 1.

In: SIAM journal on numerical analysis, 34 (1997) 1, pp. 1-21

BibTex

 DOI: 10.1137/S0036142993253461
inJournal
1997
Birkett Huber and Bernd Sturmfels

Bernstein's theorem in affine space

In: Discrete and computational geometry, 17 (1997) 2, pp. 137-141

BibTex

 DOI: 10.1007/BF02770870
inJournal
1997
Mutsumi Saito, Bernd Sturmfels and Nobuki Takayama

Hypergeometric polynomials and integer programming [Japanese]

In: Surikaisekikenkyusho Kokyuroku = RIMS Kokyuroku, 986 (1997), pp. 31-33

BibTex

 Link: www.kurims.kyoto-u.ac.jp
inBook
1997 Repository Open Access
Bernd Sturmfels

Equations defining toric varieties

In: Algebraic geometry Santa Cruz 1995
Providence, R.I. : American Mathematial Society, 1997. - pp. 437-449
(Proceedings of symposia in pure mathematics ; 62.2)

BibTex

 DOI: 10.1090/pspum/062.2/1492542 ArXiv: alg-geom/9610018
inJournal
1997
Bernd Sturmfels and Markus Wiegelmann

Structural Gröbner basis detection

In: Applicable algebra in engineering, communication and computing, 8 (1997) 4, pp. 257-263

BibTex

 DOI: 10.1007/s002000050063
inJournal
1997
Rekha R. Thomas and Bernd Sturmfels

Variation of cost functions in integer programming

In: Mathematical programming, 77 (1997) 2, pp. 357-387

BibTex

 DOI: 10.1007/BF02614622
inBook
1996 Repository Open Access
Eduardo Cattani, Alicia Dickenstein and Bernd Sturmfels

Computing multidimensional residues

In: Algorithms in algebraic geometry and applications / Laureano Gonzalez-Vega... (eds.)
Basel : Birkhäuser, 1996. - pp. 135-164
(Progress in mathematics ; 143)

BibTex

 DOI: 10.1007/978-3-0348-9104-2_8 ArXiv: alg-geom/9404011v1
inJournal
1996 Journal Open Access
Jesús A. De Loera, Serkan Hoşten, Francisco Santos and Bernd Sturmfels

The polytope of all triangulations of a point configuration

In: Documenta mathematica, 1 (1996), pp. 103-119

BibTex

 Link: www.emis.ams.org
inBook
1996
Persi Diaconis, Ronald L. Graham and Bernd Sturmfels

Primitive partition identities

In: Combinatorics, Paul Erdos is eighty (Vol. 2) / Dézso Miklós... (eds.)
Budapest : János Bolyai Mathematical Society, 1996. - pp. 173-192
(Bolyai Society Mathematical studies ; 2)

BibTex

 Link: oeis.org
inJournal
1996 Repository Open Access
David Eisenbud and Bernd Sturmfels

Binomial ideals

In: Duke mathematical journal, 84 (1996) 1, pp. 1-45

BibTex

 DOI: 10.1215/S0012-7094-96-08401-X ArXiv: alg-geom/9401001
inJournal
1996
Reinhard Laubenbacher and Bernd Sturmfels

A normal form algorithm for modules over k[x,y]/(xy)

In: Journal of algebra, 184 (1996) 3, pp. 1001-1024

BibTex

 DOI: 10.1006/jabr.1996.0295
inBook
1996
Paul Pedersen and Bernd Sturmfels

Mixed monomial bases

In: Algorithms in algebraic geometry and applications / Laureano Gonzalez-Vega... (eds.)
Basel : Birkhäuser, 1996. - pp. 307-316
(Progress in mathematics ; 143)

BibTex

 DOI: 10.1007/978-3-0348-9104-2_15
Book
1996
Bernd Sturmfels

Gröbner bases and convex polytopes

Providence, R.I. : American Mathematical Society, 1996. - xi, 162
(University lecture series ; 8)
ISBN: 0-8218-0487-1, ISBN: 978-1-4704-9787-1, ISBN: 978-0-8218-0487-2

BibTex

 DOI: 10.1090/ulect/008
inBook
1995
John Dalbec and Bernd Sturmfels

Introduction to Chow forms

In: Invariant methods in discrete and computational geometry : proceedings of the Cura­cao conference, 13-17 June, 1994 / Neil L. White (ed.)
Dordrecht : Kluwer Academic, 1995. - pp. 37-58

BibTex

 DOI: 10.1007/978-94-015-8402-9_2
inJournal
1995
Jesús A. De Loera, Bernd Sturmfels and Rekha R. Thomas

Gröbner bases and triangulations of the second hypersimplex

In: Combinatorica, 15 (1995) 3, pp. 409-424

BibTex

 DOI: 10.1007/BF01299745
inJournal
1995
William Fulton, Robert D. MacPherson, Frank Sottile and Bernd Sturmfels

Intersection theory on spherical varieties

In: Journal of algebraic geometry, 4 (1995) 1, pp. 181-193

BibTex
inBook
1995
Serkan Hoşten and Bernd Sturmfels

GRIN : an implementation of Gröbner bases for integer programming

In: Integer programming and combinatorial optimization : 4th International IPCO Conference Copenhagen, Denmark, May 29-31, 1995 : proceedings / Egon Balas (ed.)
Berlin : Springer, 1995. - pp. 267-276
(Lecture notes in computer science ; 920)

BibTex

 DOI: 10.1007/3-540-59408-6_57
inJournal
1995
Birkett Huber and Bernd Sturmfels

A polyhedral method for solving sparse polynomial systems

In: Mathematics of computation, 64 (1995) 212, pp. 1541-1555

BibTex

 DOI: 10.2307/2153370
inJournal
1995
Michael Kalkbrener and Bernd Sturmfels

Initial complexes of prime ideals

In: Advances in mathematics, 116 (1995) 2, pp. 365-376

BibTex

 DOI: 10.1006/aima.1995.1071
inJournal
1995
Bernd Sturmfels, Ngo Viet Trung and Wolfgang Vogel

Bounds on degrees of projective schemes

In: Mathematische Annalen, 302 (1995) 1, pp. 417-432

BibTex

 DOI: 10.1007/BF01444501
inJournal
1995
Bernd Sturmfels, Robert Weismantel and Günter M. Ziegler

Gröbner bases of lattices, corner polyhedra, and integer programming

In: Beiträge zur Algebra und Geometrie, 36 (1995) 2, pp. 281-298

BibTex

 Link: www.emis.de
inJournal
1995
Bernd Sturmfels

On vector partition functions

In: Journal of combinatorial theory / A, 72 (1995) 2, pp. 302-309

BibTex

 DOI: 10.1016/0097-3165(95)90067-5
inJournal
1994
Louis J. Billera, Mikhail M. Kapranov and Bernd Sturmfels

Cellular strings on polytopes

In: Proceedings of the American Mathematical Society, 122 (1994) 2, pp. 549-555

BibTex

 DOI: 10.2307/2161048
inJournal
1994
Louis J. Billera and Bernd Sturmfels

Iterated fiber polytopes

In: Mathematika : a journal of pure and applied mathematics, 41 (1994) 2, pp. 348-363

BibTex

 DOI: 10.1112/S0025579300007440
inJournal
1994 Repository Open Access
David Eisenbud and Bernd Sturmfels

Finding sparse systems of parameters

In: Journal of pure and applied algebra, 94 (1994) 2, pp. 143-157

BibTex

 DOI: 10.1016/0022-4049(94)90029-9 ArXiv: alg-geom/9305010
inJournal
1994
Shmuel Onn and Bernd Sturmfels

A note on lattice simplices and toric varieties

In: American journal of mathematics, 116 (1994) 5, pp. 1337-1339

BibTex

 DOI: 10.2307/2374948
inJournal
1994
Shmuel Onn and Bernd Sturmfels

A quantitative Steinitz' theorem

In: Beiträge zur Algebra und Geometrie, 35 (1994) 1, pp. 125-129

BibTex

 Link: www.emis.de
inBook
1994
Bernd Sturmfels and Josephine Yu

Minimal polynomials and sparse resultants

In: Zero-dimensional schemes : proceedings of the international conference held in Ravello, June 8- 3, 1992 / Ferruccio Orecchia (ed.)
Berlin : de Gruyter, 1994. - pp. 317-324

BibTex
inJournal
1994
Bernd Sturmfels and Andrey V. Zelevinsky

Multigraded resultants of Sylvester type

In: Journal of algebra, 163 (1994) 1, pp. 115-127

BibTex

 DOI: 10.1006/jabr.1994.1007
inJournal
1994
Bernd Sturmfels

On the Newton polytope of the resultant

In: Journal of algebraic combinatorics, 3 (1994) 2, pp. 207-236

BibTex

 DOI: 10.1023/A:1022497624378
inBook
1994
Bernd Sturmfels

On the number of real roots of a sparse polynomial system

In: Hamiltonian and gradient flows, algorithms and control / Anthony Bloch (ed.)
Providence, R.I. : American Mathematical Society, 1994. - pp. 137-143
(Fields Institute communications ; 3)

BibTex
Preprint
1994 Repository Open Access
Bernd Sturmfels

The geometry of A-graded algebras

BibTex

 ArXiv: alg-geom/9410032
inJournal
1994
Bernd Sturmfels

Viro's theorem for complete intersections

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 21 (1994) 3, pp. 377-386

BibTex

 Link: www.numdam.org
inJournal
1993
Louis J. Billera, Izrail M. Gelfand and Bernd Sturmfels

Duality and minors of secondary polyhedra

In: Journal of combinatorial theory / B, 57 (1993) 2, pp. 258-268

BibTex

 DOI: 10.1006/jctb.1993.1020
Book
1993
Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil L. White and Günter M. Ziegler (Eds.)

Oriented matroids

Cambridge : Cambridge University Press, 1993. - XII, 516
(Encyclopedia of mathematics and its applications ; 46)
ISBN: 0-521-41836-4

BibTex
inJournal
1993
Robert G. Bland, Chun Wa Ko and Bernd Sturmfels

A nonextremal Camion basis

In: Linear algebra and its applications, 187 (1993), pp. 195-199

BibTex

 DOI: 10.1016/0024-3795(93)90135-B
inJournal
1993
Peter Gritzmann and Bernd Sturmfels

Minkowski addition of polytopes : computational complexity and applications to Gröbner bases

In: SIAM journal on discrete mathematics, 6 (1993) 2, pp. 246-269

BibTex

 DOI: 10.1137/0406019
Book
1993
David Hilbert, Bernd Sturmfels and Reinhard Laubenbacher

Theory of algebraic invariants

Cambridge : Cambridge University Press, 1993. - xiv, 191
(Cambridge mathematical library)
ISBN: 0-521-44903-0, ISBN: 0-521-44457-8

BibTex
inJournal
1993
Paul Pedersen and Bernd Sturmfels

Product formulas for resultants and Chow forms

In: Mathematische Zeitschrift, 214 (1993) 1, pp. 377-396

BibTex

 DOI: 10.1007/BF02572411
inJournal
1993
Alyson Reeves and Bernd Sturmfels

A note on polynomial reduction

In: Journal of symbolic computation, 16 (1993) 3, pp. 273-277

BibTex

 DOI: 10.1006/jsco.1993.1045
Book
1993
Bernd Sturmfels

Algorithms in invariant theory

Wien : Springer, 1993. - p. 197
(Texts and monographs in symbolic computation)
ISBN: 978-3-211-82445-0, ISBN: 978-3-7091-4368-1, ISBN: 0-387-82445-6, ISBN: 3-211-82445-6

BibTex

 DOI: 10.1007/978-3-7091-4368-1
inJournal
1993
Bernd Sturmfels and Günter M. Ziegler

Extension spaces of oriented matroids

In: Discrete and computational geometry, 10 (1993) 1, pp. 23-45

BibTex

 DOI: 10.1007/BF02573961
inJournal
1993
Bernd Sturmfels and Andrey V. Zelevinsky

Maximal minors and their leading terms

In: Advances in mathematics, 98 (1993) 1, pp. 65-112

BibTex

 DOI: 10.1006/aima.1993.1013
inBook
1993
Bernd Sturmfels

Sparse elimination theory

In: Computational algebraic geometry and commutative algebra : proceedings of a conference held at Cortona, Italy, June 17-21, 1991 / David Eisenbud (ed.)
Cambridge : Cambridge University Press, 1993. - pp. 264-298
(Symposia mathematica ; 34)

BibTex
inJournal
1992
Louis J. Billera and Bernd Sturmfels

Fiber polytopes

In: Annals of mathematics, 135 (1992) 3, pp. 527-549

BibTex

 DOI: 10.2307/2946575
inJournal
1992
Mikhail M. Kapranov, Bernd Sturmfels and Andrey V. Zelevinsky

Chow polytopes and general resultants

In: Duke mathematical journal, 67 (1992) 1, pp. 189-218

BibTex

 DOI: 10.1215/S0012-7094-92-06707-X
inJournal
1992
Alessandro Logar and Bernd Sturmfels

Algorithms for the Quillen-Suslin theorem

In: Journal of algebra, 145 (1992) 1, pp. 231-239

BibTex

 DOI: 10.1016/0021-8693(92)90189-S
inJournal
1992
Bernd Sturmfels

Asymptotic analysis of toric ideals

In: Memoirs of the faculty of science, Kyushu University. Series A : mathematics, 46 (1992) 2, pp. 217-228

BibTex

 DOI: 10.2206/kyushumfs.46.217
Preprint
1991
Louis J. Billera, Mikhail M. Kapranov and Bernd Sturmfels

On a conjecture of Baues in the theory of loop spaces

BibTex

 Link: www.math.ucdavis.edu
Book
1991
Peter Gritzmann and Bernd Sturmfels (Eds.)

Applied geometry and discrete mathematics : the Victor Klee Festschrift

Providence, R. I. : American Mathematical Society, 1991. - xl, 608
(DIMACS series in discrete mathematics and theoretical computer science ; 4)
ISBN: 0-8218-6593-5, ISBN: 0-89791-385-x, ISBN: 978-0-8218-6593-4, ISBN: 978-1-4704-3962-0, ISSN: 1052-1798

BibTex

 DOI: 10.1090/dimacs/004
inJournal
1991
Mikhail M. Kapranov, Bernd Sturmfels and Andrey V. Zelevinsky

Quotients of toric varieties

In: Mathematische Annalen, 290 (1991) 1, pp. 643-655

BibTex

 DOI: 10.1007/BF01459264
inJournal
1991
Peter Kleinschmidt and Bernd Sturmfels

Smooth toric varieties with small Picard number are projective

In: Topology, 30 (1991) 2, pp. 289-299

BibTex

 DOI: 10.1016/0040-9383(91)90015-V
inBook
1991
Peter Kleinschmidt, Niels Schwartz and Bernd Sturmfels

Unimodular fans, linear codes, and toric manifolds

In: Discrete and computational geometry : papers from the DIMACS special year / Jacob Eli Goodman... (eds.)
Providence, R. I. : American Mathematical Society, 1991. - pp. 179-186
(DIMACS series in discrete mathematics and theoretical computer science ; 6)

BibTex
inJournal
1991
Jürgen Richter and Bernd Sturmfels

On the topology and geometric construction of oriented matroids and convex polytopes

In: Transactions of the American Mathematical Society, 325 (1991) 1, pp. 389-412

BibTex

 DOI: 10.2307/2001676
inJournal
1991 Repository Open Access
Bernd Sturmfels

Computational algebraic geometry of projective configurations

In: Journal of symbolic computation, 11 (1991) 5-6, pp. 595-618

BibTex

 DOI: 10.1016/S0747-7171(08)80121-6 Link: www.ima.umn.edu
inJournal
1991
Bernd Sturmfels and Neil L. White

Computing combinatorial decompositions of rings

In: Combinatorica, 11 (1991) 3, pp. 275-293

BibTex

 DOI: 10.1007/BF01205079
inJournal
1991
Bernd Sturmfels and Neil L. White

Editorial

In: Journal of symbolic computation, 11 (1991) 5-6, pp. 419-419

BibTex

 DOI: 10.1016/S0747-7171(08)80112-5
inJournal
1991
Bernd Sturmfels

Gröbner bases of toric varieties

In: Tohoku mathematical journal, 43 (1991) 2, pp. 249-261

BibTex

 DOI: 10.2748/tmj/1178227496
inJournal
1991
Bernd Sturmfels and Walter Whiteley

On the synthetic factorization of projectively invariant polynomials

In: Journal of symbolic computation, 11 (1991) 5-6, pp. 439-453

BibTex

 DOI: 10.1016/S0747-7171(08)80114-9
inJournal
1990
Margaret Bayer and Bernd Sturmfels

Lawrence polytopes

In: Canadian journal of mathematics, 42 (1990) 1, pp. 62-79

BibTex

 DOI: 10.4153/CJM-1990-004-4
inJournal
1990
Louis J. Billera, Paul Filliman and Bernd Sturmfels

Constructions and complexity of secondary polytopes

In: Advances in mathematics, 83 (1990) 2, pp. 155-179

BibTex

 DOI: 10.1016/0001-8708(90)90077-Z
inJournal
1990
Jürgen Bokowski, Jürgen Richter and Bernd Sturmfels

Nonrealizability proofs in computational geometry

In: Discrete and computational geometry, 5 (1990) 4, pp. 333-350

BibTex

 DOI: 10.1007/BF02187794
inJournal
1990
Jacob E. Goodman, Richard Pollack and Bernd Sturmfels

The intrinsic spread of a configuration in Rd

In: Journal of the American Mathematical Society, 3 (1990) 3, pp. 639-651

BibTex

 DOI: 10.2307/1990931
inJournal
1990
Jörg Gretenkort, Peter Kleinschmidt and Bernd Sturmfels

On the existence of certain smooth toric varieties

In: Discrete and computational geometry, 5 (1990) 3, pp. 255-262

BibTex

 DOI: 10.1007/BF02187789
inBook
1990
Gian-Carlo Rota and Bernd Sturmfels

Introduction to invariant theory in superalgebras

In: Invariant theory and tableaux : [workshop on invariant theory and tableaux held at the IMA on March 21-25, 1988] / Dennis Stanton (ed.)
New York : Springer, 1990. - pp. 1-35
(The IMA volumes in mathematics and its applications ; 19)

BibTex
inJournal
1990
Bernd Sturmfels and Neil L. White

All 11 3 and 12 3 -configurations are rational

In: Aequationes mathematicae, 39 (1990) 2-3, pp. 254-260

BibTex

 DOI: 10.1007/BF01833153
inJournal
1990
Bernd Sturmfels

Gröbner bases and Stanley decompositions of determinantal rings

In: Mathematische Zeitschrift, 205 (1990) 1, pp. 137-144

BibTex

 DOI: 10.1007/BF02571229
inJournal
1990
Bernd Sturmfels and Neil L. White

Stanley decompositions of the bracket ring

In: Mathematica Scandinavica, 67 (1990) 2, pp. 183-189

BibTex

 Link Link: null
inJournal
1989
Jürgen Bokowski and Bernd Sturmfels

An infinite family of minor-minimal nonrealizable 3-chirotopes

In: Mathematische Zeitschrift, 200 (1989) 4, pp. 583-589

BibTex

 DOI: 10.1007/BF01160956
Book
1989
Jürgen Bokowski and Bernd Sturmfels

Computational synthetic geometry

Berlin : Springer, 1989. - p. 168
(Lecture notes in mathematics ; 1355)
ISBN: 978-3-540-50478-8, ISBN: 978-3-540-46013-8, ISSN: 0075-8434

BibTex

 DOI: 10.1007/BFb0089253
inBook
1989
Jacob E. Goodman, Richard Pollack and Bernd Sturmfels

Coordinate representation of order types requires exponential storage

In: Proceedings of the twenty-first annual ACM symposium on theory of computing : Seattle, 1989
New York : ACM, 1989. - pp. 405-410

BibTex

 DOI: 10.1145/73007.73046
inJournal
1989
Timothy F. Havel, Bernd Sturmfels and Neil L. White

Proposal for a geometric algebra software package

In: ACM Communications in computer algebra, 23 (1989) 1, pp. 13-15

BibTex

 DOI: 10.1145/66062.66064
inJournal
1989
Beat Jaggi, Peter Mani-Levitska, Bernd Sturmfels and Neil L. White

Uniform oriented matroids without the isotopy property

In: Discrete and computational geometry, 4 (1989) 2, pp. 97-100

BibTex

 DOI: 10.1007/BF02187717
inJournal
1989
Dragoslav Ljubic, Jean-Pierre Roudneff and Bernd Sturmfels

Arrangements of lines and pseudolines without adjacent triangles

In: Journal of combinatorial theory / A, 50 (1989) 1, pp. 24-32

BibTex

 DOI: 10.1016/0097-3165(89)90003-4
inJournal
1989
Bernd Sturmfels

Computing final polynomials and final syzygies using Buchberger's Gröbner bases method

In: Results in mathematics, 15 (1989) 3-4, pp. 351-360

BibTex

 DOI: 10.1007/BF03322623
inJournal
1989
Bernd Sturmfels

Dynamic versions of the Buchberger algorithm

In: RISC-Linz series : publications, reports (The Research Institute for Symbolic Computation), 1989 (1989), pp. 89-16

BibTex
inJournal
1989
Bernd Sturmfels

On the matroid stratification of Grassmann varieties, specialization of coordinates, and a problem of N. White

In: Advances in mathematics, 75 (1989) 2, pp. 202-211

BibTex

 DOI: 10.1016/0001-8708(89)90037-6
inJournal
1989
Neil L. White and Bernd Sturmfels

Gröbner bases and invariant theory

In: Advances in mathematics, 76 (1989) 2, pp. 245-259

BibTex

 DOI: 10.1016/0001-8708(89)90053-4
Preprint
1988
Henry H. Crapo, Timothy F. Havel, Bernd Sturmfels, Walter Whiteley and Neil L. White

Symbolic computations in geometry

BibTex

 Link: hdl.handle.net
inJournal
1988
Jean-Pierre Roudneff and Bernd Sturmfels

Simplicial cells in arrangements and mutations of oriented matroids

In: Geometriae dedicata, 27 (1988) 2, pp. 153-170

BibTex

 DOI: 10.1007/BF00151346
Preprint
1988
Bernd Sturmfels

An algorithmic proof of the Quillen-Suslin theorem

BibTex

 Link: hdl.handle.net
Preprint
1988
Bernd Sturmfels and Neil L. White

Constructing uniform oriented matroids without the isotopy property

BibTex

 Link: hdl.handle.net
Preprint
1988
Bernd Sturmfels

Gröbner bases of determinantal ideals

BibTex

 Link: www3.risc.jku.at
inJournal
1988
Bernd Sturmfels

Neighborly polytopes and oriented matroids

In: European journal of combinatorics, 9 (1988) 6, pp. 537-546

BibTex

 DOI: 10.1016/S0195-6698(88)80050-7
Preprint
1988
Bernd Sturmfels and Walter Whiteley

On the synthetic factorization of homogeneous invariants

BibTex

 Link: www.ima.umn.edu
Preprint
1988
Bernd Sturmfels and Neil L. White

Rational realizations of 113- and 123- configurations

BibTex

 Link: www.ima.umn.edu
Preprint
1988
Bernd Sturmfels

Simplicial polytopes without the isotopy property

BibTex

 Link: hdl.handle.net
inJournal
1988
Bernd Sturmfels

Some applications of affine Gale diagrams to polytopes with few vertices

In: SIAM journal on discrete mathematics, 1 (1988) 1, pp. 121-133

BibTex

 DOI: 10.1137/0401014
inJournal
1988
Bernd Sturmfels

Totally positive matrices and cyclic polytopes

In: Linear algebra and its applications, 107 (1988), pp. 275-281

BibTex

 DOI: 10.1016/0024-3795(88)90250-9
inJournal
1988
Bernd Sturmfels

Tridiagonalization of complex matrices and a problem of Longstaff

In: Linear algebra and its applications, 109 (1988), pp. 165-166

BibTex

 DOI: 10.1016/0024-3795(88)90207-8
inJournal
1987
Jürgen Bokowski and Bernd Sturmfels

Polytopal and nonpolytopal spheres an algorithmic approach

In: Israel journal of mathematics, 57 (1987) 3, pp. 257-271

BibTex

 DOI: 10.1007/BF02766213
Preprint
1987
Bernd Sturmfels

Applications of final polynomials and final syzygies

BibTex

 Link: hdl.handle.net
inBook
1987
Bernd Sturmfels

Aspects of computational synthetic geometry : I. Algorithmic coordinatization of matroids

In: Computer-aided geometric reasoning : workshop, 22-26 juin 1987, INRIA Sophia-Antipolis (France) : volume 1. / Henry H. Crapo (ed.)
Le Chesnay : INRIA, 1987. - pp. 57-86

BibTex
inJournal
1987
Bernd Sturmfels

Boundary complexes of convex polytopes cannot be characterized locally

In: The journal of the London Mathematical Society, 35 (1987) 2, pp. 314-326

BibTex

 DOI: 10.1112/jlms/s2-35.2.314
Academic
1987
Bernd Sturmfels

Computational synthetic geometry

Dissertation, University of Washington, 1987

BibTex
inJournal
1987
Bernd Sturmfels

Cyclic polytopes and d-order curves

In: Geometriae dedicata, 24 (1987) 1, pp. 103-107

BibTex

 DOI: 10.1007/BF00159750
inJournal
1987
Bernd Sturmfels

On the decidability of Diophantine problems in combinatorial geometry

In: Bulletin of the American Mathematical Society, 17 (1987) 1, pp. 121-124

BibTex

 DOI: 10.1090/S0273-0979-1987-15532-7
Academic
1987
Bernd Sturmfels

Oriented matroids and combinatorial convex geometry

Dissertation, Technische Hochschule Darmstadt, 1987

BibTex
inJournal
1986
Jürgen Bokowski and Bernd Sturmfels

On the coordinatization of oriented matroids

In: Discrete and computational geometry, 1 (1986) 4, pp. 293-306

BibTex

 DOI: 10.1007/BF02187702
inBook
1986
Jürgen Bokowski and Bernd Sturmfels

Reell realisierbare orientierte Matroide

In: Diskrete Strukturen, algebraische Methoden und Anwendungen : 2. Sommerschule Diskrete Strukturen, Bayreuth, 1985 / Adalbert Kerber (ed.)
Bayreuth : Universita¿t Bayreuth, 1986. - pp. 1-13
(Bayreuther mathematische Schriten ; 21)

BibTex
inJournal
1986
Bernd Sturmfels

Central and parallel projections of polytopes

In: Discrete mathematics, 62 (1986) 3, pp. 315-318

BibTex

 DOI: 10.1016/0012-365X(86)90220-7
Preprint
1985
Jürgen Bokowski and Bernd Sturmfels

Problems of geometrical realizability oriented matroids and chirotopes

BibTex

 Link: hdl.handle.net
Preprint
1985
Jürgen Bokowski and Bernd Sturmfels

Programmsystem zur Realisierung orientierter Matroide

BibTex

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