Research group in Nonlinear Algebra

Head:
Bernd Sturmfels

Contact: Email
Phone:
+49 (0) 341 - 9959 - 750

Address:
Inselstr. 22
04103 Leipzig

Administrative Assistant:
Saskia Gutzschebauch
Email, Phone/Fax:
+49 (0) 341 - 9959
- 752
- 59752

Publications Bernd Sturmfels

Journal Articles

C. Améndola ; P. Friz and B. Sturmfels: Varieties of signature tensors. Forum of mathematics / Sigma, 7 (2019), e10 Bibtex MIS-Preprint: 33/2018 [DOI] [ARXIV] Gold Open Access

L. Chua ; M. Kummer and B. Sturmfels: Schottky algorithms : classical meets tropical. Mathematics of computation, 88 (2019) 319, p. 2541-2558 Bibtex MIS-Preprint: 42/2017 [DOI] [ARXIV] Green Open Access

D. Cifuentes ; C. Harris and B. Sturmfels: The geometry of SDP-exactness in quadratic optimization. Mathematical programming, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 28/2018 [DOI] [ARXIV] Gold Open Access

N. Kaihnsa ; M. Kummer ; D. Plaumann ; M. Sayyary Namin and B. Sturmfels: Sixty-four curves of degree six. Experimental mathematics, 28 (2019) 2, p. 132-150 Bibtex MIS-Preprint: 23/2017 [DOI] [ARXIV] Green Open Access

M. Pfeffer ; A. Seigal and B. Sturmfels: Learning paths from signature tensors. SIAM journal on matrix analysis and applications, 40 (2019) 2, p. 394-416 Bibtex MIS-Preprint: 78/2018 [DOI] [ARXIV] Green Open Access

E. Robeva ; B. Sturmfels and C. Uhler: Geometry of log-concave density estimation. Discrete and computational geometry, 61 (2019) 1, p. 136-160 Bibtex MIS-Preprint: 32/2017 [DOI] [ARXIV] Green Open Access

C. Améndola ; K. Ranestad and B. Sturmfels: Algebraic identifiability of Gaussian mixtures. International mathematics research notices, 2018 (2018) 21, p. 6556-6580 Bibtex MIS-Preprint: 76/2016 [DOI] [ARXIV] Green Open Access

T. Boege ; A. D'Ali ; T. Kahle and B. Sturmfels: The geometry of Gaussoids. Foundations of computational mathematics, Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 70/2017 [DOI] [ARXIV] Green Open Access

P. Breiding ; S. Kališnik Verovšek ; B. Sturmfels and M. Weinstein: Learning algebraic varieties from samples. Revista matematica complutense, 31 (2018) 3, p. 545-593 Bibtex MIS-Preprint: 23/2018 [DOI] [ARXIV] Gold Open Access

M. Helmer and B. Sturmfels: Nearest points on toric varieties. Mathematica Scandinavica, 122 (2018) 2, p. 213-238 Bibtex [DOI] [ARXIV] Green Open Access

J. Kileel ; Z. Kukelova ; T. Pajdla and B. Sturmfels: Distortion varieties. Foundations of computational mathematics, 18 (2018) 4, p. 1043-1071 Bibtex [DOI] [ARXIV] Green Open Access

K. Kohn ; B. Sturmfels and M. Trager: Changing views on curves and surfaces. Acta mathematica Vietnamica, 43 (2018) 1, p. 1-29 Bibtex MIS-Preprint: 39/2017 [DOI] [ARXIV] Green Open Access

M. Michałek and B. Sturmfels: Tensoren und ihre Zerlegungen. Jahrbuch der Max-Planck-Gesellschaft, 2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften Bibtex [FREELINK] Green Open Access

S. Agarwal ; H. Lee ; B. Sturmfels and R. R. Thomas: On the existence of epipolar matrices. International journal of computer vision, 121 (2017) 3, p. 403-415 Bibtex [DOI] [ARXIV] Green Open Access

M. Drton ; T. Kahle ; B. Sturmfels and C. Uhler: Algebraic statistics : 16 April - 22 April 2017 ; report no. 20/2017. Oberwolfach reports, 14 (2017) 2, p. 1207-1279 Bibtex [DOI]

B. Lin ; B. Sturmfels ; X. Tang and R. Yoshida: Convexity in tree spaces. SIAM journal on discrete mathematics, 31 (2017) 3, p. 2015-2038 Bibtex [DOI] [ARXIV] Green Open Access

M. Michałek ; H. Moon ; B. Sturmfels and E. Ventura: Real rank geometry of ternary forms. Annali di matematica pura ed applicata, 196 (2017) 3, p. 1025-1054 Bibtex [DOI] [ARXIV] Gold Open Access

J. Ponce ; B. Sturmfels and M. Trager: Congruences and concurrent lines in multi-view geometry. Advances in applied mathematics, 88 (2017), p. 62-91 Bibtex [DOI] [ARXIV] Green Open Access

A. Seigal ; P. M. Mira ; B. Sturmfels and M. Barlow: Does antibiotic resistance evolve in hospitals?. Bulletin of mathematical biology, 79 (2017) 1, p. 191-208 Bibtex [DOI] [ARXIV] Green Open Access

A. Seigal and B. Sturmfels: Real rank two geometry. Journal of algebra, 484 (2017), p. 310-333 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: The Hurwitz form of a projective variety. Journal of symbolic computation, 79 (2017) 1, p. 186-196 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Message from the editor-in-chief. SIAM journal on applied algebra and geometry, 1 (2017) 1, p. 1-1 Bibtex [DOI] Gold Open Access

C. Améndola ; J. Faugère and B. Sturmfels: Moment varieties of Gaussian mixtures. Journal of algebraic statistics, 7 (2016) 1, p. 14-28 Bibtex [DOI] [ARXIV] Gold Open Access

J. Draisma ; E. Horobet ; G. Ottaviani ; B. Sturmfels and R. R. Thomas: The Euclidean distance degree of an algebraic variety. Foundations of computational mathematics, 16 (2016) 1, p. 99-149 Bibtex [DOI] [ARXIV] Green Open Access

E. Gross ; H. A. Harrington ; Z. Rosen and B. Sturmfels: Algebraic systems biology : a case study for the Wnt pathway. Bulletin of mathematical biology, 78 (2016) 1, p. 21-51 Bibtex [DOI] [ARXIV] Green Open Access

M. Joswig ; J. Kileel ; B. Sturmfels and A. Wagner: Rigid multiview varieties. International journal of algebra and computation, 26 (2016) 4, p. 775-788 Bibtex [DOI] [ARXIV] Green Open Access

H. Lee and B. Sturmfels: Duality of multiple root loci. Journal of algebra, 446 (2016), p. 499-526 Bibtex [DOI] [ARXIV] Green Open Access

M. Michałek ; B. Sturmfels ; C. Uhler and P. Zwiernik: Exponential varieties. Proceedings of the London Mathematical Society, 112 (2016) 1, p. 27-56 Bibtex [DOI] [ARXIV] Green Open Access

L. Oeding ; E. Robeva and B. Sturmfels: Decomposing tensors into frames. Advances in applied mathematics, 73 (2016), p. 125-153 Bibtex [DOI] [ARXIV] Green Open Access

Q. Ren ; K. Shaw and B. Sturmfels: Tropicalization of del Pezzo surfaces. Advances in mathematics, 300 (2016), p. 156-189 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Tensors and their eigenvectors. Notices of the American Mathematical Society, 63 (2016) 6, p. 604-606 Bibtex [DOI] [FREELINK] Green Open Access

B. Sturmfels ; E. Tsukerman and L. Williams: Symmetric matrices, Catalan paths, and correlations. Journal of combinatorial theory / A, 144 (2016), p. 496-510 Bibtex [DOI] [ARXIV] Green Open Access

E. S. Allman ; J. A. Rhodes ; B. Sturmfels and P. Zwiernik: Tensors of nonnegative rank two. Linear algebra and its applications, 473 (2015), p. 37-53 Bibtex [DOI] [ARXIV] Green Open Access

S. Brodsky ; M. Joswig ; R. Morrison and B. Sturmfels: Moduli of tropical plane curves. Research in the mathematical sciences, 2 (2015), 4 Bibtex [DOI] [ARXIV] Gold Open Access

M. Kateri ; F. Mohammadi and B. Sturmfels: A family of quasisymmetry models. Journal of algebraic statistics, 6 (2015) 1, p. 1-16 Bibtex [DOI] [ARXIV] Gold Open Access

K. Kubjas ; E. Robeva and B. Sturmfels: Fixed points of the EM algorithm and nonnegative rank boundaries. The annals of statistics, 43 (2015) 1, p. 422-461 Bibtex [DOI] [ARXIV] Green Open Access

P. M. Mira ; K. Crona ; D. Greene ; J. C. Meza ; B. Sturmfels and M. Barlow: Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance. PLoS one, 10 (2015) 5, e0122283 Bibtex [DOI] [ARXIV] Gold Open Access

P. M. Mira ; K. Crona ; D. Greene ; J. C. Meza ; B. Sturmfels and M. Barlow: Correction: Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance (vol 10, e0122283, 2015). PLoS one, 10 (2015) 9, e0139387 Bibtex [DOI] Gold Open Access

J. C. Ottem ; K. Ranestad ; B. Sturmfels and C. Vinzant: Quartic spectrahedra. Mathematical programming, 151 (2015) 2, p. 585-612 Bibtex [DOI] [ARXIV] Green Open Access

Q. Ren ; J. Richter-Gebert and B. Sturmfels: Cayley-Bacharach formulas. The American mathematical monthly, 122 (2015) 9, p. 845-854 Bibtex [DOI] [ARXIV] Green Open Access

R. Sinn and B. Sturmfels: Generic spectrahedral shadows. SIAM journal on optimization, 25 (2015) 2, p. 1209-1220 Bibtex [DOI] [ARXIV] Green Open Access

J. Hauenstein ; J. I. Rodriguez and B. Sturmfels: Maximum likelihood for matrices with rank constraints. Journal of algebraic statistics, 5 (2014) 1, p. 18-38 Bibtex [DOI] [ARXIV] Gold Open Access

S. Lin ; C. Uhler ; B. Sturmfels and P. Bühlmann: Hypersurfaces and their singularities in partial correlation testing. Foundations of computational mathematics, 14 (2014) 5, p. 1079-1116 Bibtex [DOI] [ARXIV] Green Open Access

G. Ottaviani ; P. Spaenlehauer and B. Sturmfels: Exact solutions in structured low-rank approximation. SIAM journal on matrix analysis and applications, 35 (2014) 4, p. 1521-1542 Bibtex [DOI] [ARXIV] Green Open Access

Q. Ren ; S. V. Sam and B. Sturmfels: Tropicalization of classical moduli spaces. Mathematics in computer science, 8 (2014) 2, p. 119-145 Bibtex [DOI] [ARXIV] Green Open Access

C. Aholt ; B. Sturmfels and R. R. Thomas: A Hilbert scheme in computer vision. Canadian journal of mathematics, 65 (2013) 5, p. 961-988 Bibtex [DOI] [ARXIV] Green Open Access

D. Cartwright and B. Sturmfels: The number of eigenvalues of a tensor. Linear algebra and its applications, 438 (2013) 2, p. 942-952 Bibtex [DOI] [ARXIV] Green Open Access

E. Cattani ; M. A. Cueto ; A. Dickenstein ; S. Di Rocco and B. Sturmfels: Mixed discriminants. Mathematische Zeitschrift, 274 (2013) 3-4, p. 761-778 Bibtex [DOI] [ARXIV] Green Open Access

A. Engström ; P. Hersh and B. Sturmfels: Toric cubes. Rendiconti del Circolo Matematico di Palermo, 62 (2013) 1, p. 67-78 Bibtex [DOI] [ARXIV] Green Open Access

M. Manjunath and B. Sturmfels: Monomials, binomials and Riemann-Roch. Journal of algebraic combinatorics : an international journal, 37 (2013) 4, p. 737-756 Bibtex [DOI] [ARXIV] Green Open Access

V. I. Morgenshtern ; E. Riegler ; W. Yang ; G. Durisi ; S. Lin ; B. Sturmfels and H. Bölcskei: Capacity pre-log of noncoherent SIMO channels via Hironaka's theorem. IEEE transactions on information theory, 59 (2013) 7, p. 4213-4229 Bibtex [DOI] [ARXIV] Green Open Access

G. Ottaviani and B. Sturmfels: Matrices with eigenvectors in a given subspace. Proceedings of the American Mathematical Society, 141 (2013) 4, p. 1219-1232 Bibtex [DOI] [ARXIV] Green Open Access

Q. Ren ; S. V. Sam ; G. Schrader and B. Sturmfels: The universal Kummer threefold. Experimental mathematics, 22 (2013) 3, p. 327-362 Bibtex [DOI] [ARXIV] Green Open Access

R. Sanyal ; B. Sturmfels and C. Vinzant: The entropic discriminant. Advances in mathematics, 244 (2013), p. 678-707 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and N. M. Tran: Combinatorial types of tropical eigenvectors. The bulletin of the London Mathematical Society, 45 (2013) 1, p. 27-36 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and P. Zwiernik: Binary cumulant varieties. Annals of combinatorics, 17 (2013) 1, p. 229-250 Bibtex [DOI] [ARXIV] Green Open Access

G. Blekherman ; J. Hauenstein ; J. C. Ottem ; K. Ranestad and B. Sturmfels: Algebraic boundaries of Hilbert's SOS cones. Compositio mathematica, 148 (2012) 6, p. 1717-1735 Bibtex [DOI] [ARXIV] Green Open Access

J. A. De Loera ; B. Sturmfels and C. Vinzant: The central curve in linear programming. Foundations of computational mathematics, 12 (2012) 4, p. 509-540 Bibtex [DOI] [ARXIV] Green Open Access

I. O. Filiz ; X. Guo ; J. Morton and B. Sturmfels: Graphical models for correlated defaults. Mathematical finance : an international journal of mathematics, statistics and financial economics, 22 (2012) 4, p. 621-644 Bibtex [DOI] [ARXIV] Green Open Access

K. Ranestad and B. Sturmfels: On the convex hull of a space curve. Advances in geometry, 12 (2012) 1, p. 157-178 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Geometry of higher-order Markov chains. Journal of algebraic statistics, 3 (2012) 1, p. 1-10 Bibtex [DOI] [ARXIV] Gold Open Access

B. Sturmfels and V. Welker: Commutative algebra of statistical ranking. Journal of algebra, 361 (2012), p. 264-286 Bibtex [DOI] [ARXIV] Green Open Access

S. B. Brodsky and B. Sturmfels: Tropical quadrics through three points. Linear algebra and its applications, 435 (2011) 7, p. 1778-1785 Bibtex [DOI] [ARXIV] Green Open Access

D. Cartwright ; M. Häbich ; B. Sturmfels and A. Werner: Mustafin varieties. Selecta mathematica, 17 (2011) 4, p. 757-793 Bibtex [DOI] [ARXIV] Green Open Access

D. Plaumann ; B. Sturmfels and C. Vinzant: Quartic curves and their bitangents. Journal of symbolic computation, 46 (2011) 6, p. 712-733 Bibtex [DOI] [ARXIV] Green Open Access

R. Sanyal ; F. Sottile and B. Sturmfels: Orbitopes. Mathematika : a journal of pure and applied mathematics, 57 (2011) 2, p. 275-314 Bibtex [DOI] [ARXIV] Green Open Access

D. Cartwright and B. Sturmfels: The Hilbert scheme of the diagonal in a product of projective spaces. International mathematics research notices, 2010 (2010) 9, p. 1741-1771 Bibtex [DOI] [ARXIV] Green Open Access

S. N. Evans ; B. Sturmfels and C. Uhler: Commuting birth-and-death processes. The annals of applied probability, 20 (2010) 1, p. 238-266 Bibtex [DOI] [ARXIV] Green Open Access

J. Nie ; K. Ranestad and B. Sturmfels: The algebraic degree of semidefinite programming. Mathematical programming, 122 (2010) 2, p. 379-405 Bibtex [DOI] [ARXIV] Green Open Access

P. Rostalski and B. Sturmfels: Dualities in convex algebraic geometry. Rendiconti di matematica e delle sue applicazioni, 30 (2010) 3-4, p. 285-327 Bibtex [ARXIV] [FREELINK] Green Open Access

A. Shiu and B. Sturmfels: Siphons in chemical reaction networks. Bulletin of mathematical biology, 72 (2010) 6, p. 1448-1463 Bibtex [DOI] [ARXIV] Gold Open Access

B. Sturmfels and C. Uhler: Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry. Annals of the institute of statistical mathematics, 62 (2010) 4, p. 603-638 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and M. Velasco: Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties. Journal of commutative algebra, 2 (2010) 2, p. 223-244 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and Z. Xu: Sagbi bases of Cox-Nagata rings. Journal of the European Mathematical Society, 12 (2010) 2, p. 429-459 Bibtex [DOI] [ARXIV] Green Open Access

D. A. Cartwright ; S. M. Brady ; D. A. Orlando ; B. Sturmfels and P. N. Benfey: Reconstructing spatiotemporal gene expression data from partial observations. Bioinformatics, 25 (2009) 19, p. 2581-2587 Bibtex [DOI] [ARXIV] Green Open Access

G. Craciun ; A. Dickenstein ; A. Shiu and B. Sturmfels: Toric dynamical systems. Journal of symbolic computation, 44 (2009) 11, p. 1551-1565 Bibtex [DOI] [ARXIV] Green Open Access

P. Dueck ; S. Hosten and B. Sturmfels: Normal toric ideals of low codimension. Journal of pure and applied algebra, 213 (2009) 8, p. 1636-1641 Bibtex [DOI] [ARXIV] Green Open Access

P. Gritzmann ; B. Sturmfels and G. M. Ziegler: Guest editors' foreword : [special issue dedicated to the memory of Victor Klee]. Discrete and computational geometry, 42 (2009) 2, p. 131-131 Bibtex [DOI]

S. Herrmann ; A. Jensen ; M. Joswig and B. Sturmfels: How to draw tropical planes. The electronic journal of combinatorics, 16 (2009) 2, R6 Bibtex [ARXIV] [FREELINK] Gold Open Access

R. Laubenbacher and B. Sturmfels: Computer algebra in systems biology. The American mathematical monthly, 116 (2009) 10, p. 882-891 Bibtex [DOI] [ARXIV] Green Open Access

R. Laubenbacher and B. Sturmfels: Computeralgebra in der Systembiologie. Informatik-Spektrum, 32 (2009) 1, p. 27-32 Bibtex [DOI] [FREELINK] Green Open Access

S. Lin and B. Sturmfels: Polynomial relations among principal minors of a 4 x 4-matrix. Journal of algebra, 322 (2009) 11, p. 4121-4131 Bibtex [DOI] [ARXIV] Green Open Access

S. Lin ; B. Sturmfels and Z. Xu: Marginal likelihood integrals for mixtures of independence models. Journal of machine learning research, 10 (2009), p. 1611-1631 Bibtex [ARXIV] [FREELINK] Green Open Access

J. Morton ; L. Pachter ; A. Shiu ; B. Sturmfels and O. Wienand: Convex rank tests and semigraphoids. SIAM journal on discrete mathematics, 23 (2009) 3, p. 1117-1134 Bibtex [DOI] [ARXIV] Green Open Access

J. Nie and B. Sturmfels: Matrix cubes parameterized by eigenvalues. SIAM journal on matrix analysis and applications, 31 (2009) 2, p. 755-766 Bibtex [DOI] [ARXIV] Green Open Access

D. Speyer and B. Sturmfels: Tropical mathematics. Mathematics magazine, 82 (2009) 3, p. 163-173 Bibtex [ARXIV] [FREELINK] Green Open Access

T. Bogart ; A. Jensen ; D. Speyer ; B. Sturmfels and R. R. Thomas: Computing tropical varieties. Topologica, 1 (2008) 1, P 007 Bibtex [DOI] [ARXIV] Green Open Access

M. Dequéant ; S. Ahnert ; H. Edelsbrunner ; T. M. A. Fink ; E. F. Glynn ; G. Hattem ; A. Kudlicki ; Y. Mileyko ; J. Morton ; A. R. Mushegian ; L. Pachter ; M. Rowicka ; A. Shiu ; B. Sturmfels and O. Pourquié: Comparison of pattern detection methods in microarray time series of the segmentation clock. PLoS one, 3 (2008) 8, e2856 Bibtex [DOI] Gold Open Access

P. Gritzmann and B. Sturmfels: Victor L. Klee 1925-2007. Notices of the American Mathematical Society, 55 (2008) 4, p. 467-473 Bibtex [FREELINK]

R. Hemmecke ; J. Morton ; A. Shiu ; B. Sturmfels and O. Wienand: Three counter-examples on semi-graphoids. Combinatorics, probability and computing, 17 (2008) 02, p. 239-257 Bibtex [DOI] [ARXIV] Green Open Access

P. Huggins ; B. Sturmfels ; J. Yu and D. S. Yuster: The hyperdeterminant and triangulations of the 4-cube. Mathematics of computation, 77 (2008) 263, p. 1653-1679 Bibtex [ARXIV] [FREELINK] Green Open Access

B. Sturmfels and S. Sullivant: Toric geometry of cuts and splits. The Michigan mathematical journal, 57 (2008), p. 689-709 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and J. Tevelev: Elimination theory for tropical varieties. Mathematical research letters, 15 (2008) 3, p. 543-562 Bibtex [DOI] [ARXIV] Green Open Access

N. Beerenwinkel ; N. Eriksson and B. Sturmfels: Conjunctive Bayesian networks. Bernoulli, 13 (2007) 4, p. 893-909 Bibtex [DOI] [ARXIV] Green Open Access

N. Beerenwinkel ; L. Pachter and B. Sturmfels: Epistasis and shapes of fitness landscapes. Statistica Sinica, 17 (2007) 4, p. 1317-1342 Bibtex [ARXIV] [FREELINK] Green Open Access

N. Beerenwinkel ; L. Pachter ; B. Sturmfels ; S. F. Elena and R. E. Lenski: Analysis of epistatic interactions and fitness landscapes using a new geometric approach. BMC evolutionary biology, 7 (2007), 60 Bibtex [DOI] Gold Open Access

T. Bogart ; A. Jensen ; D. Speyer ; B. Sturmfels and R. R. Thomas: Computing tropical varieties. Journal of symbolic computation, 42 (2007) 1-2, p. 54-73 Bibtex [DOI] [ARXIV] Green Open Access

A. Dickenstein ; E. M. Feichtner and B. Sturmfels: Tropical discriminants. Journal of the American Mathematical Society, 20 (2007) 4, p. 1111-1133 Bibtex [DOI] [ARXIV] Green Open Access

M. Drton ; B. Sturmfels and S. Sullivant: Algebraic factor analysis : tetrads, pentads and beyond. Probability theory and related fields, 138 (2007) 3-4, p. 463-493 Bibtex [DOI] [ARXIV] Green Open Access

O. Holtz and B. Sturmfels: Hyperdeterminantal relations among symmetric principal minors. Journal of algebra, 316 (2007) 2, p. 634-648 Bibtex [DOI] [ARXIV] Green Open Access

S. Hosten and B. Sturmfels: Computing the integer programming gap. Combinatorica, 27 (2007) 3, p. 367-382 Bibtex [DOI] [ARXIV] Green Open Access

P. Huggins ; L. Pachter and B. Sturmfels: Toward the human genotope. Bulletin of mathematical biology, 69 (2007) 8, p. 2723-2735 Bibtex [DOI] [ARXIV] Green Open Access

M. Joswig ; B. Sturmfels and J. Yu: Affine buildings and tropical convexity. Albanian journal of mathematics, 1 (2007) 4, p. 187-211 Bibtex [ARXIV] Green Open Access

J. Morton ; L. Pachter ; A. Shiu and B. Sturmfels: The cyclohedron test for finding periodic genes in time course expression studies. Statistical applications in genetics and molecular biology, 6 (2007) 1, 21 Bibtex [DOI] [ARXIV] Green Open Access

L. Pachter and B. Sturmfels: The mathematics of phylogenomics. SIAM review, 49 (2007) 1, p. 3-31 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels ; J. Tevelev and J. Yu: The Newton polytope of the implicit equation. Moscow mathematical journal, 7 (2007) 2, p. 327-346 Bibtex [ARXIV] [FREELINK] Green Open Access

N. Beerenwinkel ; N. Eriksson and B. Sturmfels: Evolution on distributive lattices. Journal of theoretical biology, 242 (2006) 2, p. 409-420 Bibtex [DOI] [ARXIV] Green Open Access

F. Catanese ; S. Hosten ; A. Khetan and B. Sturmfels: The maximum likelihood degree. American journal of mathematics, 128 (2006) 3, p. 671-697 Bibtex [DOI] [ARXIV] Green Open Access

O. Colón-Reyes ; A. S. Jarrah ; R. Laubenbacher and B. Sturmfels: Monomial dynamical systems over finite fields. Complex systems, 16 (2006) 4, p. 333-342 Bibtex [ARXIV] [FREELINK] Gold Open Access

C. N. Dewey ; P. M. Huggins ; K. Woods ; B. Sturmfels and L. Pachter: Parametric alignment of Drosophila genomes. PLoS computational biology, 2 (2006) 6, p. 606-614 Bibtex [DOI] [ARXIV] Gold Open Access

D. Geiger ; C. Meek and B. Sturmfels: On the toric algebra of graphical models. The annals of statistics, 34 (2006) 3, p. 1463-1492 Bibtex [DOI] [ARXIV] Green Open Access

I. B. Hallgrimsdóttir and B. Sturmfels: Resultants in genetic linkage analysis. Journal of symbolic computation, 41 (2006) 2, p. 125-137 Bibtex [DOI] [ARXIV] Green Open Access

J. Nie ; J. Demmel and B. Sturmfels: Minimizing polynomials via sum of squares over the gradient ideal. Mathematical programming, 106 (2006) 3, p. 587-606 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and S. Sullivant: Combinatorial secant varieties. Pure and applied mathematics quarterly, 2 (2006) 3, p. 867-891 Bibtex [DOI] [ARXIV] Green Open Access

K. Altmann and B. Sturmfels: The graph of monomial ideals. Journal of pure and applied algebra, 201 (2005) 1-3, p. 250-263 Bibtex [DOI] [ARXIV] Green Open Access

E. M. Feichtner and B. Sturmfels: Matroid polytopes, nested sets and Bergman fans. Portugaliae mathematica, 62 (2005) 4, p. 437-468 Bibtex [ARXIV] [FREELINK] Green Open Access

L. D. Garcia ; M. E. Stillman and B. Sturmfels: Algebraic geometry of Bayesian networks. Journal of symbolic computation, 39 (2005) 3-4, p. 331-355 Bibtex [DOI] [ARXIV] Green Open Access

S. Hosten ; A. Khetan and B. Sturmfels: Solving the likelihood equations. Foundations of computational mathematics, 5 (2005) 4, p. 389-407 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: What is a Gröbner basis?. Notices of the American Mathematical Society, 52 (2005) 10, p. 1199-1200 Bibtex [FREELINK] Gold Open Access

B. Sturmfels: Can biology lead to new theorems?. Annual report of the Clay Mathematics Institute, 2005 (2005), p. 13-26 Bibtex [FREELINK]

B. Sturmfels and S. Sullivant: Toric ideals of phylogenetic invariants. Journal of computational biology, 12 (2005) 2, p. 204-228 Bibtex [DOI] [ARXIV] Green Open Access

J. A. De Loera ; D. Haws ; R. Hemmecke ; P. Huggins ; B. Sturmfels and R. Yoshida: Short rational functions for toric algebra and applications. Journal of symbolic computation, 38 (2004) 2, p. 959-973 Bibtex [DOI] [ARXIV] Green Open Access

M. Develin and B. Sturmfels: Tropical convexity. Documenta mathematica, 9 (2004), p. 1-27 Bibtex [ARXIV] [FREELINK] Gold Open Access

M. Develin and B. Sturmfels: Erratum for 'Tropical convexity' [Doc. Math. 9 (2004), 1-27]. Documenta mathematica, 9 (2004), p. 205-206 Bibtex [FREELINK] Gold Open Access

M. Haiman and B. Sturmfels: Multigraded Hilbert schemes. Journal of algebraic geometry, 13 (2004) 4, p. 725-769 Bibtex [DOI] [ARXIV] Green Open Access

S. Hosten ; D. Maclagan and B. Sturmfels: Supernormal vector configurations. Journal of algebraic combinatorics : an international journal, 19 (2004) 3, p. 297-313 Bibtex [DOI] [ARXIV] Green Open Access

L. Pachter and B. Sturmfels: Parametric inference for biological sequence analysis. Proceedings of the National Academy of Sciences of the United States of America, 101 (2004) 46, p. 16138-16143 Bibtex [DOI] [ARXIV] Green Open Access

L. Pachter and B. Sturmfels: Tropical geometry of statistical models. Proceedings of the National Academy of Sciences of the United States of America, 101 (2004) 46, p. 16132-16137 Bibtex [DOI] [ARXIV] Green Open Access

D. Speyer and B. Sturmfels: The tropical Grassmannian. Advances in geometry, 4 (2004) 3, p. 389-411 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and J. Yu: Classification of six-point metrics. The electronic journal of combinatorics, 11 (2004) 1, R44 Bibtex [ARXIV] [FREELINK] Gold Open Access

J. A. De Loera and B. Sturmfels: Algebraic unimodular counting. Mathematical programming, 96 (2003) 2, p. 183-203 Bibtex [DOI] [ARXIV] Green Open Access

F. Santos and B. Sturmfels: Higher Lawrence configurations. Journal of combinatorial theory / A, 103 (2003) 1, p. 151-164 Bibtex [DOI] [ARXIV] Green Open Access

F. Santos and B. Sturmfels: Alexander duality in subdivisions of Lawrence polytopes. Advances in geometry, 3 (2003) 2, p. 177-189 Bibtex [DOI] [ARXIV] Green Open Access

E. Cattani ; A. Dickenstein and B. Sturmfels: Binomial residues. Annales de l'Institut Fourier, 52 (2002) 3, p. 687-708 Bibtex [DOI] [ARXIV] Green Open Access

J. A. De Loera ; F. Sottile and B. 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]. Discrete and computational geometry, 27 (2002) 1, p. 1-2 Bibtex [DOI]

A. Dickenstein and B. Sturmfels: Elimination theory in codimension 2. Journal of symbolic computation, 34 (2002) 2, p. 119-135 Bibtex [DOI] [ARXIV] Green Open Access

T. Hausel and B. Sturmfels: Toric hyperkähler varieties. Documenta mathematica, 7 (2002), p. 495-534 Bibtex [ARXIV] [FREELINK] Gold Open Access

I. Novik ; A. Postnikov and B. Sturmfels: Syzygies of oriented matroids. Duke mathematical journal, 111 (2002) 2, p. 287-317 Bibtex [DOI] [ARXIV] Green Open Access

D. Bayer ; S. Popescu and B. Sturmfels: Syzygies of unimodular Lawrence ideals. Journal für die reine und angewandte Mathematik, 2001 (2001) 534, p. 169-186 Bibtex [DOI] [ARXIV] Green Open Access

E. Cattani ; A. Dickenstein and B. Sturmfels: Rational hypergeometric functions. Compositio mathematica, 128 (2001) 2, p. 217-240 Bibtex [DOI] [ARXIV] Green Open Access

F. Sottile and B. Sturmfels: A sagbi basis for the quantum Grassmannian. Journal of pure and applied algebra, 158 (2001) 2-3, p. 347-366 Bibtex [DOI] [ARXIV] Green Open Access

E. Miller ; B. Sturmfels and K. Yanagawa: Generic and cogeneric monomial ideals. Journal of symbolic computation, 29 (2000) 4-5, p. 691-708 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Four counterexamples in combinatorial algebraic geometry. Journal of algebra, 230 (2000) 1, p. 282-294 Bibtex [DOI]

B. Sturmfels: Solving algebraic equations in terms of A-hypergeometric series. Discrete mathematics, 210 (2000) 1-3, p. 171-181 Bibtex [DOI]

S. Onn and B. Sturmfels: Cutting corners. Advances in applied mathematics, 23 (1999) 1, p. 29-48 Bibtex [DOI]

M. Saito ; B. Sturmfels and N. Takayama: Hypergeometric polynomials and integer programming. Compositio mathematica, 115 (1999) 2, p. 231-240 Bibtex [DOI] [FREELINK] Green Open Access

B. Sturmfels ; E. Cattani and A. Dickenstein: The search for rational A-hypergeometric functions. ACM SIGSAM bulletin, 33 (1999) 3, p. 15-15 Bibtex [DOI]

D. Bayer ; I. Peeva and B. Sturmfels: Monomial resolutions. Mathematical research letters, 5 (1998) 1-2, p. 31-46 Bibtex [DOI] [ARXIV] Green Open Access

D. Bayer and B. Sturmfels: Cellular resolutions of monomial modules. Journal für die reine und angewandte Mathematik, 502 (1998), p. 123-140 Bibtex [DOI] [ARXIV] Green Open Access

E. Cattani ; A. Dickenstein and B. Sturmfels: Residues and resultants. Journal of mathematical sciences, 5 (1998) 1, p. 119-148 Bibtex [ARXIV] [FREELINK] Green Open Access

P. Diaconis and B. Sturmfels: Algebraic algorithms for sampling from conditional distributions. The annals of statistics, 26 (1998) 1, p. 363-397 Bibtex [FREELINK]

D. Eisenbud ; I. Peeva and B. Sturmfels: Non-commutative Gröbner bases for commutative algebras. Proceedings of the American Mathematical Society, 126 (1998) 3, p. 687-691 Bibtex [DOI] [FREELINK] Green Open Access

B. Huber ; F. Sottile and B. Sturmfels: Numerical Schubert calculus. Journal of symbolic computation, 26 (1998) 6, p. 767-788 Bibtex [DOI] [ARXIV] Green Open Access

I. Peeva ; V. Reiner and B. Sturmfels: How to shell a monoid. Mathematische Annalen, 310 (1998) 2, p. 379-393 Bibtex [DOI]

I. Peeva and B. Sturmfels: Syzygies of codimension 2 lattice ideals. Mathematische Zeitschrift, 229 (1998) 1, p. 163-194 Bibtex [DOI] Green Open Access

I. Peeva and B. Sturmfels: Generic lattice ideals. Journal of the American Mathematical Society, 11 (1998) 2, p. 363-373 Bibtex [FREELINK]

J. Roos and B. Sturmfels: A toric ring with irrational Poincare-Betti series. Comptes rendus de l'Académie des Sciences / 1, 326 (1998) 2, p. 141-146 Bibtex [DOI]

M. Saito ; B. Sturmfels and N. Takayama: Gröbner deformations of regular holonomic systems. Proceedings of the Japan Academy : series A, mathematical sciences, 74 (1998) 7, p. 111-113 Bibtex [DOI] Gold Open Access

B. Sturmfels: Polynomial equations and convex polytopes. The American mathematical monthly, 105 (1998) 10, p. 907-922 Bibtex [DOI]

W. Fulton and B. Sturmfels: Intersection theory on toric varieties. Topology, 36 (1997) 2, p. 335-353 Bibtex [DOI] [ARXIV] Green Open Access

J. Guckenheimer ; M. Myers and B. Sturmfels: Computing Hopf bifurcations 1.. SIAM journal on numerical analysis, 34 (1997) 1, p. 1-21 Bibtex [DOI]

B. Huber and B. Sturmfels: Bernstein's theorem in affine space. Discrete and computational geometry, 17 (1997) 2, p. 137-141 Bibtex [DOI]

M. Saito ; B. Sturmfels and N. Takayama: Hypergeometric polynomials and integer programming [Japanese]. Surikaisekikenkyusho Kokyuroku = RIMS Kokyuroku, 986 (1997), p. 31-33 Bibtex [FREELINK]

B. Sturmfels and M. Wiegelmann: Structural Gröbner basis detection. Applicable algebra in engineering, communication and computing, 8 (1997) 4, p. 257-263 Bibtex [DOI]

R. R. Thomas and B. Sturmfels: Variation of cost functions in integer programming. Mathematical programming, 77 (1997) 2, p. 357-387 Bibtex [DOI]

J. A. De Loera ; S. Hosten ; F. Santos and B. Sturmfels: The polytope of all triangulations of a point configuration. Documenta mathematica, 1 (1996), p. 103-119 Bibtex [FREELINK] Gold Open Access

D. Eisenbud and B. Sturmfels: Binomial ideals. Duke mathematical journal, 84 (1996) 1, p. 1-45 Bibtex [DOI] [ARXIV] Green Open Access

R. Laubenbacher and B. Sturmfels: A normal form algorithm for modules over k[x,y]/(xy). Journal of algebra, 184 (1996) 3, p. 1001-1024 Bibtex [DOI]

J. A. De Loera ; B. Sturmfels and R. R. Thomas: Gröbner bases and triangulations of the second hypersimplex. Combinatorica, 15 (1995) 3, p. 409-424 Bibtex [DOI]

W. Fulton ; R. D. MacPherson ; F. Sottile and B. Sturmfels: Intersection theory on spherical varieties. Journal of algebraic geometry, 4 (1995) 1, p. 181-193 Bibtex

B. Huber and B. Sturmfels: A polyhedral method for solving sparse polynomial systems. Mathematics of computation, 64 (1995) 212, p. 1541-1555 Bibtex [DOI]

M. Kalkbrener and B. Sturmfels: Initial complexes of prime ideals. Advances in mathematics, 116 (1995) 2, p. 365-376 Bibtex [DOI]

B. Sturmfels: On vector partition functions. Journal of combinatorial theory / A, 72 (1995) 2, p. 302-309 Bibtex [DOI]

B. Sturmfels ; N. V. Trung and W. Vogel: Bounds on degrees of projective schemes. Mathematische Annalen, 302 (1995) 1, p. 417-432 Bibtex [DOI]

B. Sturmfels ; R. Weismantel and G. M. Ziegler: Gröbner bases of lattices, corner polyhedra, and integer programming. Beiträge zur Algebra und Geometrie, 36 (1995) 2, p. 281-298 Bibtex [FREELINK]

L. J. Billera ; M. M. Kapranov and B. Sturmfels: Cellular strings on polytopes. Proceedings of the American Mathematical Society, 122 (1994) 2, p. 549-555 Bibtex [DOI]

L. J. Billera and B. Sturmfels: Iterated fiber polytopes. Mathematika : a journal of pure and applied mathematics, 41 (1994) 2, p. 348-363 Bibtex [DOI]

D. Eisenbud and B. Sturmfels: Finding sparse systems of parameters. Journal of pure and applied algebra, 94 (1994) 2, p. 143-157 Bibtex [DOI] [ARXIV] Green Open Access

S. Onn and B. Sturmfels: A note on lattice simplices and toric varieties. American journal of mathematics, 116 (1994) 5, p. 1337-1339 Bibtex [DOI]

S. Onn and B. Sturmfels: A quantitative Steinitz' theorem. Beiträge zur Algebra und Geometrie, 35 (1994) 1, p. 125-129 Bibtex [FREELINK]

B. Sturmfels: Viro's theorem for complete intersections. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 21 (1994) 3, p. 377-386 Bibtex [FREELINK]

B. Sturmfels: On the Newton polytope of the resultant. Journal of algebraic combinatorics : an international journal, 3 (1994) 2, p. 207-236 Bibtex [DOI]

B. Sturmfels and A. V. Zelevinsky: Multigraded resultants of Sylvester type. Journal of algebra, 163 (1994) 1, p. 115-127 Bibtex [DOI]

L. J. Billera ; I. M. Gelfand and B. Sturmfels: Duality and minors of secondary polyhedra. Journal of combinatorial theory / B, 57 (1993) 2, p. 258-268 Bibtex [DOI]

R. G. Bland ; C. W. Ko and B. Sturmfels: A nonextremal Camion basis. Linear algebra and its applications, 187 (1993), p. 195-199 Bibtex [DOI]

P. Gritzmann and B. Sturmfels: Minkowski addition of polytopes : computational complexity and applications to Gröbner bases. SIAM journal on discrete mathematics, 6 (1993) 2, p. 246-269 Bibtex [DOI]

P. Pedersen and B. Sturmfels: Product formulas for resultants and Chow forms. Mathematische Zeitschrift, 214 (1993) 1, p. 377-396 Bibtex [DOI]

A. Reeves and B. Sturmfels: A note on polynomial reduction. Journal of symbolic computation, 16 (1993) 3, p. 273-277 Bibtex [DOI]

B. Sturmfels and A. V. Zelevinsky: Maximal minors and their leading terms. Advances in mathematics, 98 (1993) 1, p. 65-112 Bibtex [DOI]

B. Sturmfels and G. M. Ziegler: Extension spaces of oriented matroids. Discrete and computational geometry, 10 (1993) 1, p. 23-45 Bibtex [DOI]

L. J. Billera and B. Sturmfels: Fiber polytopes. Annals of mathematics, 135 (1992) 3, p. 527-549 Bibtex [DOI]

M. M. Kapranov ; B. Sturmfels and A. V. Zelevinsky: Chow polytopes and general resultants. Duke mathematical journal, 67 (1992) 1, p. 189-218 Bibtex [DOI]

A. Logar and B. Sturmfels: Algorithms for the Quillen-Suslin theorem. Journal of algebra, 145 (1992) 1, p. 231-239 Bibtex [DOI]

B. Sturmfels: Asymptotic analysis of toric ideals. Memoirs of the faculty of science, Kyushu University. Series A : mathematics, 46 (1992) 2, p. 217-228 Bibtex [DOI]

M. M. Kapranov ; B. Sturmfels and A. V. Zelevinsky: Quotients of toric varieties. Mathematische Annalen, 290 (1991) 1, p. 643-655 Bibtex [DOI]

P. Kleinschmidt and B. Sturmfels: Smooth toric varieties with small Picard number are projective. Topology, 30 (1991) 2, p. 289-299 Bibtex [DOI]

J. Richter and B. Sturmfels: On the topology and geometric construction of oriented matroids and convex polytopes. Transactions of the American Mathematical Society, 325 (1991) 1, p. 389-412 Bibtex [DOI]

B. Sturmfels: Computational algebraic geometry of projective configurations. Journal of symbolic computation, 11 (1991) 5-6, p. 595-618 Bibtex [DOI] [FREELINK] Green Open Access

B. Sturmfels: Gröbner bases of toric varieties. Tohoku mathematical journal, 43 (1991) 2, p. 249-261 Bibtex [DOI]

B. Sturmfels and N. L. White: Computing combinatorial decompositions of rings. Combinatorica, 11 (1991) 3, p. 275-293 Bibtex [DOI]

B. Sturmfels and N. L. White: Editorial. Journal of symbolic computation, 11 (1991) 5-6, p. 419-419 Bibtex [DOI]

B. Sturmfels and W. Whiteley: On the synthetic factorization of projectively invariant polynomials. Journal of symbolic computation, 11 (1991) 5-6, p. 439-453 Bibtex [DOI]

M. Bayer and B. Sturmfels: Lawrence polytopes. Canadian journal of mathematics, 42 (1990) 1, p. 62-79 Bibtex [DOI]

L. J. Billera ; P. Filliman and B. Sturmfels: Constructions and complexity of secondary polytopes. Advances in mathematics, 83 (1990) 2, p. 155-179 Bibtex [DOI]

J. Bokowski ; J. Richter and B. Sturmfels: Nonrealizability proofs in computational geometry. Discrete and computational geometry, 5 (1990) 4, p. 333-350 Bibtex [DOI]

J. E. Goodman ; R. Pollack and B. Sturmfels: The intrinsic spread of a configuration in Rd. Journal of the American Mathematical Society, 3 (1990) 3, p. 639-651 Bibtex [DOI]

J. Gretenkort ; P. Kleinschmidt and B. Sturmfels: On the existence of certain smooth toric varieties. Discrete and computational geometry, 5 (1990) 3, p. 255-262 Bibtex [DOI]

B. Sturmfels: Gröbner bases and Stanley decompositions of determinantal rings. Mathematische Zeitschrift, 205 (1990) 1, p. 137-144 Bibtex [DOI]

B. Sturmfels and N. L. White: Stanley decompositions of the bracket ring. Mathematica Scandinavica, 67 (1990) 2, p. 183-189 Bibtex [FREELINK]

B. Sturmfels and N. L. White: All 11 3 and 12 3 -configurations are rational. Aequationes mathematicae, 39 (1990) 2-3, p. 254-260 Bibtex [DOI]

J. Bokowski and B. Sturmfels: An infinite family of minor-minimal nonrealizable 3-chirotopes. Mathematische Zeitschrift, 200 (1989) 4, p. 583-589 Bibtex [DOI]

T. F. Havel ; B. Sturmfels and N. L. White: Proposal for a geometric algebra software package. ACM SIGSAM bulletin, 23 (1989) 1, p. 13-15 Bibtex [DOI]

B. Jaggi ; P. Mani-Levitska ; B. Sturmfels and N. L. White: Uniform oriented matroids without the isotopy property. Discrete and computational geometry, 4 (1989) 2, p. 97-100 Bibtex [DOI]

D. Ljubic ; J. Roudneff and B. Sturmfels: Arrangements of lines and pseudolines without adjacent triangles. Journal of combinatorial theory / A, 50 (1989) 1, p. 24-32 Bibtex [DOI]

B. Sturmfels: On the matroid stratification of Grassmann varieties, specialization of coordinates, and a problem of N. White. Advances in mathematics, 75 (1989) 2, p. 202-211 Bibtex [DOI]

B. Sturmfels: Computing final polynomials and final syzygies using Buchberger's Gröbner bases method. Results in mathematics, 15 (1989) 3-4, p. 351-360 Bibtex [DOI]

B. Sturmfels: Dynamic versions of the Buchberger algorithm. RISC-Linz series : publications, reports (The Research Institute for Symbolic Computation), 1989 (1989), 89-16 Bibtex

N. L. White and B. Sturmfels: Gröbner bases and invariant theory. Advances in mathematics, 76 (1989) 2, p. 245-259 Bibtex [DOI]

J. Roudneff and B. Sturmfels: Simplicial cells in arrangements and mutations of oriented matroids. Geometriae dedicata, 27 (1988) 2, p. 153-170 Bibtex [DOI]

B. Sturmfels: Neighborly polytopes and oriented matroids. European journal of combinatorics, 9 (1988) 6, p. 537-546 Bibtex [DOI]

B. Sturmfels: Tridiagonalization of complex matrices and a problem of Longstaff. Linear algebra and its applications, 109 (1988), p. 165-166 Bibtex [DOI]

B. Sturmfels: Totally positive matrices and cyclic polytopes. Linear algebra and its applications, 107 (1988), p. 275-281 Bibtex [DOI]

B. Sturmfels: Some applications of affine Gale diagrams to polytopes with few vertices. SIAM journal on discrete mathematics, 1 (1988) 1, p. 121-133 Bibtex [DOI]

J. Bokowski and B. Sturmfels: Polytopal and nonpolytopal spheres an algorithmic approach. Israel journal of mathematics, 57 (1987) 3, p. 257-271 Bibtex [DOI]

B. Sturmfels: Cyclic polytopes and d-order curves. Geometriae dedicata, 24 (1987) 1, p. 103-107 Bibtex [DOI]

B. Sturmfels: Boundary complexes of convex polytopes cannot be characterized locally. The journal of the London Mathematical Society, 35 (1987) 2, p. 314-326 Bibtex [DOI]

B. Sturmfels: On the decidability of Diophantine problems in combinatorial geometry. Bulletin of the American Mathematical Society, 17 (1987) 1, p. 121-124 Bibtex [DOI]

J. Bokowski and B. Sturmfels: On the coordinatization of oriented matroids. Discrete and computational geometry, 1 (1986) 4, p. 293-306 Bibtex [DOI]

B. Sturmfels: Central and parallel projections of polytopes. Discrete mathematics, 62 (1986) 3, p. 315-318 Bibtex [DOI]

Publications in Books and Conference Proceedings

A. Kulkarni ; Y. Ren ; M. Sayyary Namin and B. Sturmfels: Real space sextics and their tritangents. ISSAC '18 proceedings of the 43rd international symposium on symbolic and algebraic computation ; New York, USA, July 16-19, 2018 ACM, 2018. - P. 247-254 Bibtex MIS-Preprint: 81/2017 [DOI] [ARXIV] Green Open Access

H. Abo ; A. Seigal and B. Sturmfels: Eigenconfigurations of tensors. Algebraic and geometric methods in discrete mathematics / H. A. Harrington... (eds.). American Mathematical Society, 2017. - P. 1-25 (Contemporary mathematics ; 685) Bibtex [DOI] [ARXIV] Green Open Access

K. Kubjas ; P. A. Parrilo and B. Sturmfels: How to flatten a soccer ball. Homological and computational methods in commutative algebra : dedicated to Winfried Bruns on the occasion of his 70th birthday / A. Conca... (eds.). Springer, 2017. - P. 141-162 (Springer INdAM series ; 20) Bibtex [DOI] [ARXIV] Green Open Access

Z. Kukelova ; J. Kileel ; B. Sturmfels and T. Pajdla: A clever elimination strategy for efficient minimal solvers. 30th IEEE conference on computer vision and pattern recognition CVPR 2017, 21-26 July 2017 Honolulu, Hawaii : proceedings / R. Chellappa... (eds.). IEEE, 2017. - P. 3605-3614 Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Fitness, apprenticeship, and polynomials. Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / B. Sturmfels... (eds.). Springer, 2017. - P. 1-19 (Fields Institute communications ; 80) Bibtex [DOI] [ARXIV] Green Open Access

M. Trager ; B. Sturmfels ; J. Canny ; M. Hebert and J. Ponce: General models for rational cameras and the case of two-slit projections. 30th IEEE conference on computer vision and pattern recognition CVPR 2017, 21-26 July 2017 Honolulu, Hawaii : proceedings / R. Chellappa... (eds.). IEEE, 2017. - P. 2520-2528 Bibtex [DOI] [ARXIV] Green Open Access

C. Améndola ; M. Drton and B. Sturmfels: Maximum likelihood estimates for Gaussian mixtures are transcendental. Mathematical aspects of computer and information sciences : 6th international conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, revised selected papers / I. S. Kotsireas... (eds.). Springer, 2016. - P. 579-590 (Lecture notes in computer science ; 9582) Bibtex [DOI] [ARXIV] Green Open Access

P. Bürgisser ; K. Kohn ; P. Lairez and B. Sturmfels: Computing the Chow variety of quadratic space curves. Mathematical aspects of computer and information sciences : 6th international conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, revised selected papers / I. S. Kotsireas... (eds.). Springer, 2016. - P. 130-136 (Lecture notes in computer science ; 9582) Bibtex [DOI] [ARXIV] Green Open Access

J. Draisma ; E. Horobet ; G. Ottaviani ; B. Sturmfels and R. R. Thomas: The Euclidean distance degree. SNC 2014 : proceedings of the 2014 symposium on symbolic-numeric computation : July 28-31, 2014, Shanghai, China / S. M. Watt (ed.). ACM, 2014. - P. 9-16 Bibtex [DOI]

J. Huh and B. Sturmfels: Likelihood geometry. Combinatorial algebraic geometry : lecture notes from the CIME-CIRM summer school held in Levico Terme, June 10-15, 2013 / A. Conca... (eds.). Springer, 2014. - P. 63-117 (Lecture notes in mathematics ; 2108) Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Maximum likelihood for matrices with rank constraints : [invited talk abstract]. ISSAC '14 proceedings of the 39th international symposium on symbolic and algebraic computation ; Kobe, Japan July 23-25, 2014 / K. Nabeshima (ed.). ACM, 2014. - P. 17-17 Bibtex [DOI] Gold Open Access

M. Chan and B. Sturmfels: Elliptic curves in honeycomb form. Algebraic and combinatorial aspects of tropical geometry / E. Brugallé... (eds.). American Mathematical Society, 2013. - P. 87-107 (Contemporary mathematics ; 589) Bibtex [DOI] [ARXIV] Green Open Access

P. Rostalski and B. Sturmfels: Dualities. Semidefinite optimization and convex algebraic geometry / G. Blekherman... (eds.). Society for Industrial and Applied Mathematics, 2013. - P. 203-249 (MOS-SIAM series on optimization ; 13) Bibtex

D. Plaumann ; B. Sturmfels and C. Vinzant: Computing linear matrix representations of Helton-Vinnikov curves. Mathematical methods in systems, optimization, and control : Festschrift in honor of J. William Helton / H. Dym... (eds.). Springer, 2012. - P. 259-277 (Operator theory : advances and applications ; 222) Bibtex [DOI] [ARXIV] Green Open Access

K. Ranestad and B. Sturmfels: The convex hull of a variety. Notions of positivity and the geometry of polynomials / P. Brändén... (eds.). Birkhäuser, 2011. - P. 331-344 (Trends in mathematics) Bibtex [DOI] [ARXIV] Green Open Access

E. Riegler ; V. I. Morgenshtern ; G. Durisi ; S. Lin ; B. Sturmfels and H. Bölcskei: Noncoherent SIMO pre-log via resolution of singularities. IEEE international symposium on information theory proceedings (ISIT) 2011 : July 31-August 5, 2011 in St. Petersburg, Russia IEEE, 2011. - P. 2020-2024 Bibtex [DOI] [ARXIV] Green Open Access

M. A. Cueto ; J. Morton and B. Sturmfels: Geometry of the restricted Boltzmann machine. Algebraic methods in statistics and probability : volume 2 / M. A. G. Viana... (eds.). American Mathematical Society, 2010. - P. 135-153 (Contemporary mathematics ; 516) Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Open problems in algebraic statistics. Emerging applications of algebraic geometry / M. Putinar... (eds.). Springer, 2009. - P. 351-363 (The IMA volumes in mathematics and its applications ; 149) Bibtex [DOI] [ARXIV] Green Open Access

J. Nie ; P. A. Parrilo and B. Sturmfels: Semidefinite representation of the \({k}\)-ellipse. Algorithms in algebraic geometry / A. Dickenstein... (eds.). Springer, 2008. - P. 117-132 (The IMA volumes in mathematics and its applications ; 146) Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels and J. Yu: Tropical implicitization and mixed fiber polytopes. Software for algebraic geometry / M. E. Stillman... (eds.). Springer, 2008. - P. 111-131 (The IMA volumes in mathematics and its applications ; 148) Bibtex [DOI] [ARXIV] Green Open Access

I. A. Fotiou ; P. Rostalski ; B. Sturmfels and M. Morari: An algebraic geometry approach to nonlinear parametric optimization in control. Proceedings of the 2006 american control conference : Minneapolis, Minnesota, USA, June 14-16, 2006 IEEE, 2006. - P. 3618-3623 Bibtex [DOI] [ARXIV] Green Open Access

J. Morton ; L. Pachter ; A. Shiu ; B. Sturmfels and O. Wienand: Geometry of rank tests. Proceedings of the third european workshop on probabilistic graphical models : Prague, Czech Republic, September 12-15, 2006 / M. Studeny... (eds.). Agentura Action M, 2006 Bibtex [ARXIV] [FREELINK] Green Open Access

M. Develin ; F. Santos and B. Sturmfels: On the rank of a tropical matrix. Combinatorial and computational geometry / J. E. Goodman... (eds.). Cambridge University Press, 2005. - P. 213-242 (Mathematical sciences research institute publications ; 52) Bibtex [ARXIV] Green Open Access

N. Eriksson ; K. Ranestad ; B. Sturmfels and S. Sullivant: Phylogenetic algebraic geometry. 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 / C. Ciliberto... (eds.). de Gruyter, 2005. - P. 237-255 Bibtex [DOI] [ARXIV] Green Open Access

L. Pachter and B. Sturmfels: Statistics [chapter 1]. Algebraic statistics for computational biology / L. Pachter... (eds.). Cambridge University Press, 2005. - P. 3-42 Bibtex [DOI]

L. Pachter and B. Sturmfels: Computation [chapter 2]. Algebraic statistics for computational biology / L. Pachter... (eds.). Cambridge University Press, 2005. - P. 43-84 Bibtex [DOI]

L. Pachter and B. Sturmfels: Algebra [chapter 3]. Algebraic statistics for computational biology / L. Pachter... (eds.). Cambridge University Press, 2005. - P. 85-124 Bibtex [DOI]

L. Pachter and B. Sturmfels: Preface. Algebraic statistics for computational biology / L. Pachter... (eds.). Cambridge University Press, 2005 Bibtex [DOI]

J. Richter-Gebert ; B. Sturmfels and T. Theobald: First steps in tropical geometry. Idempotent mathematics and mathematical physics : international workshop February 3-10, 2003 Erwin Schrödinger international institute for mathematical physics Vienna, Austria / G. L. Litvinov... (eds.). American Mathematical Society, 2005. - P. 289-317 (Contemporary mathematics ; 377) Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Algebraic recipes for integer programming. Trends in Optimization / S. Hosten... (eds.). American Mathematical Society, 2004. - P. 99-113 (Proceedings of symposia in applied mathematics ; 61) Bibtex [DOI] [ARXIV] Green Open Access

P. A. Parrilo and B. Sturmfels: Minimizing polynomial functions. 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 / S. Basu... (eds.). American Mathematical Society, 2003. - P. 83-99 (Series in discrete mathematics and theoretical computer science ; 60) Bibtex [ARXIV] Green Open Access

D. Geiger ; C. Meek and B. Sturmfels: Factorization of discrete probability distributions. Uncertainty in artificial intelligence : proceedings of the eighteenth conference (2002) ; August 1-4, 2002, University of Alberta, Edmonton / A. Darwiche (ed.). Morgan Kaufmann, 2002. - P. 162-169 Bibtex [ARXIV] Green Open Access

G. G. Smith and B. Sturmfels: Teaching the geometry of schemes. Computations in algebraic geometry with Macaulay 2 / D. Eisenbud... (eds.). Springer, 2002. - P. 55-70 (Algorithms and computation in mathematics ; 8) Bibtex [DOI] [ARXIV] Green Open Access

M. E. Stillman ; B. Sturmfels and R. R. Thomas: Algorithms for the toric Hilbert scheme. Computations in algebraic geometry with Macaulay 2 / D. Eisenbud... (eds.). Springer, 2002. - P. 179-214 (Algorithms and computation in mathematics ; 8) Bibtex [DOI] [ARXIV] Green Open Access

B. Sturmfels: Ideals, varieties and Macaulay 2. Computations in algebraic geometry with Macaulay 2 / D. Eisenbud... (eds.). Springer, 2002. - P. 3-15 (Algorithms and computation in mathematics ; 8) Bibtex [DOI]

B. Sturmfels: Gröbner bases of abelian matrix groups. Symbolic computation : solving equations in algebra, geometry, and engineering / E. L. Green... (eds.). American Mathematical Society, 2001. - P. 141-143 (Contemporary mathematics ; 286) Bibtex [DOI]

E. Miller and B. Sturmfels: Monomial ideals and planar graphs. Applied algebra, algebraic algorithms and error-correcting codes : 13th international symposium, AAECC-13 Honolulu, Hawaii, USA, November 15-19, 1999 proceedings / M. Fossorier... (eds.). Springer, 1999. - P. 19-28 (Lecture notes in computer science ; 1719) Bibtex [DOI]

B. Sturmfels: The Co-Scarf resolution. Commutative algebra, algebraic geometry, and computational methods : proceedings of the conference on algebraic geometry, commutative algebra, and computation, Hanoi, Vietnam, 1996 / D. Eisenbud (ed.). Springer, 1999. - P. 315-320 Bibtex

P. Diaconis ; D. Eisenbud and B. Sturmfels: Lattice walks and primary decomposition. Mathematical essays in honor of Gian-Carlo Rota / B. E. Sagan... (eds.). Birkhäuser, 1998. - P. 173-193 (Progress in mathematics ; 161) Bibtex [DOI]

B. Sturmfels: Introduction to resultants. Applications of computational algebraic geometry : lectures presented at the American Mathematical Society ; short course held in San Diego, CA, January 6-7, 1997 / D. A. Cox... (eds.). American Mathematical Society, 1998. - P. 25-39 (Proceedings of symposia in applied mathematics ; 53) Bibtex [DOI]

B. Sturmfels and N. Takayama: Gröbner bases and hypergeometric functions. Gröbner bases and applications : [Proceedings of the conference 33 years of Gröbner bases] / B. Buchberger... (eds.). Cambridge University Press, 1998. - P. 246-258 (London Mathematical Society lecture note series ; 251) Bibtex

B. Sturmfels: Equations defining toric varieties. Algebraic geometry Santa Cruz 1995 American Mathematial Society, 1997. - P. 437-449 (Proceedings of symposia in pure mathematics ; 62.2) Bibtex [DOI] [ARXIV] Green Open Access

E. Cattani ; A. Dickenstein and B. Sturmfels: Computing multidimensional residues. Algorithms in algebraic geometry and applications / L. Gonzalez-Vega... (eds.). Birkhäuser, 1996. - P. 135-164 (Progress in mathematics ; 143) Bibtex [DOI] [ARXIV] Green Open Access

P. Diaconis ; R. L. Graham and B. Sturmfels: Primitive partition identities. Combinatorics, Paul Erdos is eighty (Vol. 2) / D. Miklós... (eds.). János Bolyai Mathematical Society, 1996. - P. 173-192 (Bolyai Society Mathematical studies ; 2) Bibtex [FREELINK]

P. Pedersen and B. Sturmfels: Mixed monomial bases. Algorithms in algebraic geometry and applications / L. Gonzalez-Vega... (eds.). Birkhäuser, 1996. - P. 307-316 (Progress in mathematics ; 143) Bibtex [DOI]

J. Dalbec and B. Sturmfels: Introduction to Chow forms. Invariant methods in discrete and computational geometry : proceedings of the Curacao conference, 13-17 June, 1994 / N. L. White (ed.). Kluwer Academic, 1995. - P. 37-58 Bibtex [DOI]

S. Hosten and B. Sturmfels: GRIN : an implementation of Gröbner bases for integer programming. Integer programming and combinatorial optimization : 4th International IPCO Conference Copenhagen, Denmark, May 29-31, 1995 : proceedings / E. Balas (ed.). Springer, 1995. - P. 267-276 (Lecture notes in computer science ; 920) Bibtex [DOI]

B. Sturmfels: On the number of real roots of a sparse polynomial system. Hamiltonian and gradient flows, algorithms and control / A. Bloch (ed.). American Mathematical Society, 1994. - P. 137-143 (Fields Institute communications ; 3) Bibtex

B. Sturmfels and J. Yu: Minimal polynomials and sparse resultants. Zero-dimensional schemes : proceedings of the international conference held in Ravello, June 8- 3, 1992 / F. Orecchia (ed.). de Gruyter, 1994. - P. 317-324 Bibtex

B. Sturmfels: Sparse elimination theory. Computational algebraic geometry and commutative algebra : proceedings of a conference held at Cortona, Italy, June 17-21, 1991 / D. Eisenbud (ed.). Cambridge University Press, 1993. - P. 264-298 (Symposia mathematica ; 34) Bibtex

P. Kleinschmidt ; N. Schwartz and B. Sturmfels: Unimodular fans, linear codes, and toric manifolds. Discrete and computational geometry : papers from the DIMACS special year / J. E. Goodman... (eds.). American Mathematical Society, 1991. - P. 179-186 (DIMACS series in discrete mathematics and theoretical computer science ; 6) Bibtex

G. Rota and B. Sturmfels: Introduction to invariant theory in superalgebras. Invariant theory and tableaux : [workshop on invariant theory and tableaux held at the IMA on March 21-25, 1988] / D. Stanton (ed.). Springer, 1990. - P. 1-35 (The IMA volumes in mathematics and its applications ; 19) Bibtex

J. E. Goodman ; R. Pollack and B. Sturmfels: Coordinate representation of order types requires exponential storage. Proceedings of the twenty-first annual ACM symposium on theory of computing : Seattle, 1989 ACM, 1989. - P. 405-410 Bibtex [DOI]

B. Sturmfels: Aspects of computational synthetic geometry : I. Algorithmic coordinatization of matroids. Computer-aided geometric reasoning : workshop, 22-26 juin 1987, INRIA Sophia-Antipolis (France) : volume 1. / H. H. Crapo (ed.). INRIA, 1987. - P. 57-86 Bibtex

J. Bokowski and B. Sturmfels: Reell realisierbare orientierte Matroide. Diskrete Strukturen, algebraische Methoden und Anwendungen : 2. Sommerschule Diskrete Strukturen, Bayreuth, 1985 / A. Kerber (ed.). Universitat Bayreuth, 1986. - P. 1-13 (Bayreuther mathematische Schriten ; 21) Bibtex

Preprints

P. Breiding ; B. Sturmfels and S. Timme: 3264 conics in a second. Bibtex MIS-Preprint: 24/2019 [ARXIV] Green Open Access

E. Duarte ; O. Marigliano and B. Sturmfels: Discrete statistical models with rational maximum likelihood estimator. Bibtex MIS-Preprint: 29/2019 [ARXIV] Green Open Access

M. Joswig ; M. Panizzut and B. Sturmfels: The Schläfli fan. Bibtex MIS-Preprint: 41/2019 [ARXIV] Green Open Access

B. Sturmfels ; C. Uhler and P. Zwiernik: Brownian motion tree models are toric. Bibtex MIS-Preprint: 26/2019 [ARXIV] Green Open Access

G. Baletti ; B. Sturmfels and M. Panizzut: K3 polytopes and their quartic surfaces. Bibtex MIS-Preprint: 40/2018 [ARXIV] Green Open Access

D. Cifuentes ; K. Ranestad ; B. Sturmfels and M. Weinstein: Voronoi cells of varieties. Bibtex MIS-Preprint: 98/2018 [ARXIV] Green Open Access

K. Kohn ; B. Shapiro and B. Sturmfels: Moment varieties of measures on polytopes. Bibtex MIS-Preprint: 50/2018 [ARXIV] Green Open Access

A. Löhne ; D. Ciripoi ; N. Kaihnsa and B. Sturmfels: Computing convex hulls of trajectories. Bibtex MIS-Preprint: 89/2018 [ARXIV] Green Open Access

E. Robeva ; B. Sturmfels ; N. M. Tran and C. Uhler: Maximum likelihood estimation for totally positive log-concave densities. Bibtex MIS-Preprint: 42/2018 [ARXIV] Green Open Access

B. Lin ; B. Sturmfels ; X. Tang and R. Yoshida: Appendix for 'Convexity in tree spaces'. Bibtex [FREELINK]

S. Agarwal ; H. Lee ; B. Sturmfels and R. R. Thomas: Certifying the existence of epipolar matrices. Bibtex [ARXIV] Green Open Access

S. Lin ; L. Oeding and B. Sturmfels: Electric network synthesis. Bibtex [FREELINK]

M. Schweighofer ; B. Sturmfels and R. R. Thomas: Convex algebraic geometry. Bibtex [FREELINK]

J. A. De Loera and B. Sturmfels: Counting network flows. Bibtex [FREELINK]

B. Sturmfels: The geometry of A-graded algebras. Bibtex [ARXIV] Green Open Access

L. J. Billera ; M. M. Kapranov and B. Sturmfels: On a conjecture of Baues in the theory of loop spaces. Bibtex [FREELINK]

H. H. Crapo ; T. F. Havel ; B. Sturmfels ; W. Whiteley and N. L. White: Symbolic computations in geometry. Bibtex [FREELINK]

B. Sturmfels: An algorithmic proof of the Quillen-Suslin theorem. Bibtex [FREELINK]

B. Sturmfels: Simplicial polytopes without the isotopy property. Bibtex [FREELINK]

B. Sturmfels and N. L. White: Constructing uniform oriented matroids without the isotopy property. Bibtex [FREELINK]

B. Sturmfels and N. L. White: Rational realizations of 113- and 123- configurations. Bibtex [FREELINK]

B. Sturmfels and W. Whiteley: On the synthetic factorization of homogeneous invariants. Bibtex [FREELINK]

B. Sturmfels: Applications of final polynomials and final syzygies. Bibtex [FREELINK]

J. Bokowski and B. Sturmfels: Programmsystem zur Realisierung orientierter Matroide. Bibtex

Academic Theses

B. Sturmfels: Oriented matroids and combinatorial convex geometry. Dissertation, Technische Hochschule Darmstadt, 1987 Bibtex

B. Sturmfels: Computational synthetic geometry. Dissertation, University of Washington, 1987 Bibtex

Books

G. G. Smith and B. Sturmfels (eds.): Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program. Springer, 2017. - VIII, 390 p. (Fields Institute communications ; 80) ISBN 978-1-4939-7486-3 Bibtex [DOI]

D. Maclagan and B. Sturmfels: Introduction to tropical geometry. American Mathematical Society, 2015. - XII, 363 p. (Graduate studies in mathematics ; 161) ISBN 978-0-8218-5198-2 Bibtex [DOI]

A. Conca ; S. Di Rocco ; J. Draisma ; J. Huh ; B. Sturmfels and F. Viviani (eds.): Combinatorial algebraic geometry : lecture notes from the CIME-CIRM summer school held in Levico Terme, June 10-15, 2013. Springer, 2014. - VII, 239 p. (Lecture notes in mathematics ; 2108) ISBN 978-3-319-04870-3 Bibtex [DOI]

L. L. Avramov ; M. Green ; C. Huneke ; K. E. Smith and B. 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. - Cambridge University Press, 2011. - X, 254 p. (Mathematical sciences research institute publications ; 51) ISBN 978-0-521-16872-4 Bibtex

M. Drton ; B. Sturmfels and S. Sullivant: Lectures on algebraic statistics. Birkhäuser, 2009. - VIII, 171 p. (Oberwolfach seminars ; 39) ISBN 978-3-7643-8904-8 Bibtex [DOI]

B. Sturmfels: Algorithms in invariant theory. Second edition. - Springer, 2008. - 197 p. (Texts and monographs in symbolic computation) ISBN 978-3-211-77416-8 Bibtex [DOI]

E. Miller ; V. Reiner and B. Sturmfels (eds.): Geometric combinatorics : lectures from the graduate summer school held in Park City, UT, 2004. American Mathematical Society, 2007. - XII, 691 p. (IAS/Park City mathematics series ; 13) ISBN 978-0-8218-3736-8 Bibtex [DOI]

E. Miller and B. Sturmfels: Combinatorial commutative algebra. Springer, 2005. - XIV, 417 p. (Graduate texts in mathematics ; 227) ISBN 978-0-387-22356-8 Bibtex [DOI]

L. Pachter and B. Sturmfels (eds.): Algebraic statistics for computational biology. Cambridge University Press, 2005. - XII, 420 p. ISBN 0-521-85700-7 Bibtex [DOI]

L. L. Avramov ; M. Green ; C. Huneke ; K. E. Smith and B. 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]. Cambridge University Press, 2004. - X, 254 p. (Mathematical sciences research institute publications ; 51) ISBN 978-0-521-83195-6 Bibtex

D. Eisenbud ; D. R. Grayson ; M. E. Stillman and B. Sturmfels (eds.): Computations in algebraic geometry with Macaulay 2. Springer, 2002. - XIII, 329 p. (Algorithms and computation in mathematics ; 8) ISBN 978-3-642-07592-6 Bibtex [DOI]

B. Sturmfels: Solving systems of polynomial equations. American Mathematical Society, 2002. - VIII, 152 p. (CBMS regional conference series in mathematics ; 97) ISBN 978-0-8218-3251-6 Bibtex [DOI]

M. Saito ; B. Sturmfels and N. Takayama: Gröbner deformations of hypergeometric differential equations. Springer, 2000. - VIII, 254 p. (Algorithms and computation in mathematics ; 6) ISBN 978-3-642-08534-5 Bibtex [DOI]

A. Björner ; M. Las Vergnas ; B. Sturmfels ; N. L. White and G. M. Ziegler (eds.): Oriented matroids. Second edtion. - Cambridge University Press, 1999. - XII, 548 p. (Encyclopedia of mathematics and its applications ; 46) ISBN 0-521-77750-x Bibtex [DOI]

D. A. Cox and B. 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. American Mathematical Society, 1998. - IX, 172 p. (Proceedings of symposia in applied mathematics ; 53) ISBN 978-0-8218-0750-7 Bibtex [DOI]

B. Sturmfels: Gröbner bases and convex polytopes. American Mathematical Society, 1996. - XI, 162 p. (University lecture series ; 8) ISBN 0-8218-0487-1 Bibtex [DOI]

A. Björner ; M. Las Vergnas ; B. Sturmfels ; N. L. White and G. M. Ziegler (eds.): Oriented matroids. Cambridge University Press, 1993. - XII, 516 p. (Encyclopedia of mathematics and its applications ; 46) ISBN 0-521-41836-4 Bibtex

D. Hilbert ; B. Sturmfels and R. Laubenbacher: Theory of algebraic invariants. Cambridge University Press, 1993. - XIV, 191 p. (Cambridge mathematical library) ISBN 0-521-44903-0 Bibtex

B. Sturmfels: Algorithms in invariant theory. Springer, 1993. - 197 p. (Texts and monographs in symbolic computation) ISBN 978-3-211-82445-0 Bibtex [DOI]

P. Gritzmann and B. Sturmfels (eds.): Applied geometry and discrete mathematics : the Victor Klee Festschrift. American Mathematical Society, 1991. - XL, 608 p. (DIMACS series in discrete mathematics and theoretical computer science ; 4) ISBN 0-8218-6593-5 Bibtex [DOI]

J. Bokowski and B. Sturmfels: Computational synthetic geometry. Springer, 1989. - 168 p. (Lecture notes in mathematics ; 1355) ISBN 978-3-540-50478-8 Bibtex [DOI]
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