- 752
- 658
Publications Bernd Sturmfels
Journal Articles 
D. Agostini ; C. Fevola ; Y. Mandelshtam and B. Sturmfels:
KP solitons from tropical limits.
Journal of symbolic computation,
114 (2023), p. 282-301 Bibtex [DOI] [ARXIV] [CODELINK] Repository Open Access
Y. Cid-Ruiz and B. Sturmfels:
Primary decomposition with differential operators.
International mathematics research notices,
Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] [CODELINK] Repository Open Access
D. Cifuentes ; K. Ranestad ; B. Sturmfels and M. Weinstein:
Voronoi cells of varieties.
Journal of symbolic computation,
109 (2022), p. 351-366 Bibtex MIS-Preprint: 98/2018 [DOI] [ARXIV] Repository Open Access
H. Melánová ; B. Sturmfels and R. Winter:
Recovery from power sums.
Experimental mathematics,
Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] Journal Open Access
D. Agostini ; T. O.
Celik ; J. Struwe and B. Sturmfels:
Theta surfaces.
Vietnam journal of mathematics,
49 (2021) 2, p. 319-347 Bibtex [DOI] [ARXIV] [FREELINK] Journal Open Access
D. Agostini ; T. O.
Celik and B. Sturmfels:
The Dubrovin threefold of an algebraic curve.
Nonlinearity,
34 (2021) 6, p. 3783-3812 Bibtex [DOI] [ARXIV] Repository Open Access
R. Ait El Manssour ; M. Härkönen and B. Sturmfels:
Linear PDE with constant coefficients.
Glasgow mathematical journal,
Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] Journal Open Access
G. Baletti ; M. Panizzut and B. Sturmfels:
K3 polytopes and their quartic surfaces.
Advances in geometry,
21 (2021) 1, p. 85-98 Bibtex MIS-Preprint: 40/2018 [DOI] [ARXIV] Repository Open Access
A. Bik ; H. Eisenmann and B. Sturmfels:
Jordan algebras of symmetric matrices.
Le Matematiche,
76 (2021) 2, p. 337-353 Bibtex [DOI] [ARXIV] [CODELINK] Journal Open Access
T. Brysiewicz ; C. Fevola and B. Sturmfels:
Tangent quadrics in real 3-space.
Le Matematiche,
76 (2021) 2, p. 355-367 Bibtex [DOI] [ARXIV] [CODELINK] Journal Open Access
T. O.
Celik ; A. Jamneshan ; G. Montúfar ; B. Sturmfels and L. Venturello:
Wasserstein distance to independence models.
Journal of symbolic computation,
104 (2021), p. 855-873 Bibtex [DOI] [ARXIV] Repository Open Access
Y. Cid-Ruiz ; R. Homs and B. Sturmfels:
Primary ideals and their differential equations.
Foundations of computational mathematics,
21 (2021) 5, p. 1363-1399 Bibtex [DOI] [ARXIV] [CODELINK] Repository Open Access
E. Duarte ; O. Marigliano and B. Sturmfels:
Discrete statistical models with rational maximum likelihood estimator.
Bernoulli,
27 (2021) 1, p. 135-154 Bibtex MIS-Preprint: 29/2019 [DOI] [ARXIV] Repository Open Access
Y. El Maazouz ; M. A.
Hahn ; G. Nebe ; M. Stanojkovski and B. Sturmfels:
Orders and polytropes : matrix algebras from valuations.
Beiträge zur Algebra und Geometrie,
Vol. not yet known, pp. not yet known Bibtex [DOI] [ARXIV] [CODELINK] Journal Open Access
C. Fevola ; Y. Mandelshtam and B. Sturmfels:
Pencils of quadrics : old and new.
Le Matematiche,
76 (2021) 2, p. 319-335 Bibtex [DOI] [ARXIV] Journal Open Access
Y. Jiang and B. Sturmfels:
Bad projections of the PSD cone.
Collectanea mathematica,
72 (2021) 2, p. 261-280 Bibtex [DOI] [ARXIV] Journal Open Access
M. Joswig ; M. Panizzut and B. Sturmfels:
Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and
computational geometry, 64 (2020) 2, p. 355-381].
Discrete and computational geometry,
66 (2021) 4, p. 1217-1217 Bibtex [DOI] Journal Open Access
E. Robeva ; B. Sturmfels ; N. M.
Tran and C. Uhler:
Maximum likelihood estimation for totally positive log-concave densities.
Scandinavian journal of statistics,
48 (2021) 3, p. 817-844 Bibtex MIS-Preprint: 42/2018 [DOI] [ARXIV] Repository Open Access
B. Sturmfels and S. Telen:
Likelihood equations and scattering amplitudes.
Algebraic statistics,
12 (2021) 2, p. 167-186 Bibtex [DOI] [ARXIV] Repository Open Access
M. F. Adamer ; A. C.
Lőrincz ; A.-L. Sattelberger and B. Sturmfels:
Algebraic analysis of rotation data.
Algebraic statistics,
11 (2020) 2, p. 189-211 Bibtex [DOI] [ARXIV] Repository Open Access
P. Breiding ; B. Sturmfels and S. Timme:
3264 conics in a second.
Notices of the American Mathematical Society,
67 (2020) 1, p. 30-37 Bibtex MIS-Preprint: 24/2019 [ARXIV] [FREELINK] Journal Open Access
D. Cifuentes ; C. Harris and B. Sturmfels:
The geometry of SDP-exactness in quadratic optimization.
Mathematical programming,
182 (2020) 1/2, p. 399-428 Bibtex MIS-Preprint: 28/2018 [DOI] [ARXIV] Journal Open Access
M. Joswig ; M. Panizzut and B. Sturmfels:
The Schläfli fan.
Discrete and computational geometry,
64 (2020) 2, p. 355-381 Bibtex MIS-Preprint: 41/2019 [DOI] [ARXIV] Journal Open Access
K. Kohn ; B. Shapiro and B. Sturmfels:
Moment varieties of measures on polytopes.
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
21 (2020), p. 739-770 Bibtex MIS-Preprint: 50/2018 [DOI] [ARXIV] Repository Open Access
M. Panizzut ; E. C.
Sertöz and B. Sturmfels:
An octanomial model for cubic surfaces.
Le Matematiche,
75 (2020) 2, p. 517-536 Bibtex [DOI] [ARXIV] [CODELINK] Journal Open Access
K. Ranestad and B. Sturmfels:
Twenty-seven questions about the cubic surface.
Le Matematiche,
75 (2020) 2, p. 411-424 Bibtex [DOI] [ARXIV] Journal Open Access
B. Sturmfels ; S. Timme and P. Zwiernik:
Estimating linear covariance models with numerical nonlinear algebra.
Algebraic statistics,
11 (2020) 1, p. 31-52 Bibtex [DOI] [ARXIV] Repository Open Access
B. Sturmfels ; C. Uhler and P. Zwiernik:
Brownian motion tree models are toric.
Kybernetika,
56 (2020) 6, p. 1154-1175 Bibtex MIS-Preprint: 26/2019 [DOI] [ARXIV] Journal Open Access
C. Améndola ; P. K. Friz and B. Sturmfels:
Varieties of signature tensors.
Forum of mathematics / Sigma,
7 (2019), e10 Bibtex MIS-Preprint: 33/2018 [DOI] [ARXIV] Journal Open Access
T. Boege ; A. D'Alì ; T. Kahle and B. Sturmfels:
The geometry of Gaussoids.
Foundations of computational mathematics,
19 (2019) 4, p. 775-812 Bibtex MIS-Preprint: 70/2017 [DOI] [ARXIV] Repository 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] Repository Open Access
D. Ciripoi ; N. Kaihnsa ; A. Löhne and B. Sturmfels:
Computing convex hulls of trajectories.
Revista de la Unión Matemática Argentina,
60 (2019) 2, p. 637-662 Bibtex MIS-Preprint: 89/2018 [DOI] [ARXIV] Journal 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] [CODELINK] Repository 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] Repository 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] Repository Open Access
B. Sturmfels:
Adventures in mentoring.
Notices of the American Mathematical Society,
66 (2019) 8, p. 1300-1302 Bibtex [FREELINK] Journal 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] Repository 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] Journal Open Access
M. Helmer and B. Sturmfels:
Nearest points on toric varieties.
Mathematica Scandinavica,
122 (2018) 2, p. 213-238 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository Open Access
S. Agarwal ; H.-L. 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] Repository 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] [FREELINK] Repository Open Access
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] Repository 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] Journal 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] Repository 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] Repository Open Access
A. Seigal and B. Sturmfels:
Real rank two geometry.
Journal of algebra,
484 (2017), p. 310-333 Bibtex [DOI] [ARXIV] Repository Open Access
B. Sturmfels:
The Hurwitz form of a projective variety.
Journal of symbolic computation,
79 (2017) 1, p. 186-196 Bibtex [DOI] [ARXIV] Repository 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] Journal Open Access
C. Améndola ; J.-C. Faugère and B. Sturmfels:
Moment varieties of Gaussian mixtures.
Journal of algebraic statistics,
7 (2016) 1, p. 14-28 Bibtex [DOI] [ARXIV] Journal 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] Repository 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] Repository 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] Repository Open Access
H. Lee and B. Sturmfels:
Duality of multiple root loci.
Journal of algebra,
446 (2016), p. 499-526 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository Open Access
B. Sturmfels:
Tensors and their eigenvectors.
Notices of the American Mathematical Society,
63 (2016) 6, p. 604-606 Bibtex [DOI] [FREELINK] Repository 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] Repository 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] Repository Open Access
S. Brodsky ; M. Joswig ; R. Morrison and B. Sturmfels:
Moduli of tropical plane curves.
Research in the mathematical sciences,
2 (2015) 1, 4 Bibtex [DOI] [ARXIV] Journal 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] Journal 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] Repository 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] Journal 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] Journal 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] Repository 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] Repository Open Access
R. Sinn and B. Sturmfels:
Generic spectrahedral shadows.
SIAM journal on optimization,
25 (2015) 2, p. 1209-1220 Bibtex [DOI] [ARXIV] Repository 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] Journal 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] Repository Open Access
G. Ottaviani ; P.-J. 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository Open Access
M. Manjunath and B. Sturmfels:
Monomials, binomials and Riemann-Roch.
Journal of algebraic combinatorics,
37 (2013) 4, p. 737-756 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository Open Access
R. Sanyal ; B. Sturmfels and C. Vinzant:
The entropic discriminant.
Advances in mathematics,
244 (2013), p. 678-707 Bibtex [DOI] [ARXIV] Repository 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] Repository Open Access
B. Sturmfels and P. Zwiernik:
Binary cumulant varieties.
Annals of combinatorics,
17 (2013) 1, p. 229-250 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository 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] Repository Open Access
B. Sturmfels:
Geometry of higher-order Markov chains.
Journal of algebraic statistics,
3 (2012) 1, p. 1-10 Bibtex [DOI] [ARXIV] Journal Open Access
B. Sturmfels and V. Welker:
Commutative algebra of statistical ranking.
Journal of algebra,
361 (2012), p. 264-286 Bibtex [DOI] [ARXIV] Repository 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] Repository Open Access
D. Cartwright ; M. Häbich ; B. Sturmfels and A. Werner:
Mustafin varieties.
Selecta mathematica,
17 (2011) 4, p. 757-793 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Journal 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository Open Access
P. Dueck ; S. Hoşten and B. Sturmfels:
Normal toric ideals of low codimension.
Journal of pure and applied algebra,
213 (2009) 8, p. 1636-1641 Bibtex [DOI] [ARXIV] Repository 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 [DOI] [ARXIV] Journal 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] Repository Open Access
R. Laubenbacher and B. Sturmfels:
Computeralgebra in der Systembiologie.
Informatik-Spektrum,
32 (2009) 1, p. 27-32 Bibtex [DOI] [FREELINK] Repository 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] Repository 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] Journal 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] Repository 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] Repository Open Access
D. Speyer and B. Sturmfels:
Tropical mathematics.
Mathematics magazine,
82 (2009) 3, p. 163-173 Bibtex [ARXIV] [FREELINK] Repository 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] Repository Open Access
M.-L. 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] Journal 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] Repository 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] Repository 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] Repository Open Access
B. Sturmfels and J. Tevelev:
Elimination theory for tropical varieties.
Mathematical research letters,
15 (2008) 3, p. 543-562 Bibtex [DOI] [ARXIV] Repository Open Access
N. Beerenwinkel ; N. Eriksson and B. Sturmfels:
Conjunctive Bayesian networks.
Bernoulli,
13 (2007) 4, p. 893-909 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Journal 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] Repository 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] Repository 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] Repository Open Access
S. Hoşten and B. Sturmfels:
Computing the integer programming gap.
Combinatorica,
27 (2007) 3, p. 367-382 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository 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] Repository Open Access
L. Pachter and B. Sturmfels:
The mathematics of phylogenomics.
SIAM review,
49 (2007) 1, p. 3-31 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository Open Access
F. Catanese ; S. Hoşten ; A. Khetan and B. Sturmfels:
The maximum likelihood degree.
American journal of mathematics,
128 (2006) 3, p. 671-697 Bibtex [DOI] [ARXIV] Repository 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] Journal 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] Journal 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] Repository 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] Repository 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] Repository Open Access
B. Sturmfels and S. Sullivant:
Combinatorial secant varieties.
Pure and applied mathematics quarterly,
2 (2006) 3, p. 867-891 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository Open Access
S. Hoşten ; A. Khetan and B. Sturmfels:
Solving the likelihood equations.
Foundations of computational mathematics,
5 (2005) 4, p. 389-407 Bibtex [DOI] [ARXIV] Repository Open Access
B. Sturmfels:
What is a Gröbner basis?.
Notices of the American Mathematical Society,
52 (2005) 10, p. 1199-1200 Bibtex [FREELINK] Journal 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] Repository 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] Repository Open Access
M. Develin and B. Sturmfels:
Tropical convexity.
Documenta mathematica,
9 (2004), p. 1-27 Bibtex [ARXIV] [FREELINK] Journal 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] Journal Open Access
M. Haiman and B. Sturmfels:
Multigraded Hilbert schemes.
Journal of algebraic geometry,
13 (2004) 4, p. 725-769 Bibtex [DOI] [ARXIV] Repository Open Access
S. Hoşten ; D. Maclagan and B. Sturmfels:
Supernormal vector configurations.
Journal of algebraic combinatorics,
19 (2004) 3, p. 297-313 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository Open Access
D. Speyer and B. Sturmfels:
The tropical Grassmannian.
Advances in geometry,
4 (2004) 3, p. 389-411 Bibtex [DOI] [ARXIV] Repository Open Access
B. Sturmfels and J. Yu:
Classification of six-point metrics.
The electronic journal of combinatorics,
11 (2004) 1, R44 Bibtex [DOI] [ARXIV] Journal Open Access
J. A. De Loera and B. Sturmfels:
Algebraic unimodular counting.
Mathematical programming,
96 (2003) 2, p. 183-203 Bibtex [DOI] [ARXIV] Repository Open Access
F. Santos and B. Sturmfels:
Higher Lawrence configurations.
Journal of combinatorial theory / A,
103 (2003) 1, p. 151-164 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository Open Access
T. Hausel and B. Sturmfels:
Toric hyperkähler varieties.
Documenta mathematica,
7 (2002), p. 495-534 Bibtex [ARXIV] [FREELINK] Journal 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] Repository Open Access
D. Bayer ; S. Popescu and B. Sturmfels:
Syzygies of unimodular Lawrence ideals.
Journal für die reine und angewandte Mathematik (Crelle's Journal),
2001 (2001) 534, p. 169-186 Bibtex [DOI] [ARXIV] Repository Open Access
E. Cattani ; A. Dickenstein and B. Sturmfels:
Rational hypergeometric functions.
Compositio mathematica,
128 (2001) 2, p. 217-240 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository Open Access
B. Sturmfels ; E. Cattani and A. Dickenstein:
The search for rational A-hypergeometric functions.
ACM Communications in computer algebra,
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] Repository Open Access
D. Bayer and B. Sturmfels:
Cellular resolutions of monomial modules.
Journal für die reine und angewandte Mathematik (Crelle's Journal),
502 (1998), p. 123-140 Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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.-E. 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] Journal 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] Repository 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. Hoşten ; F. Santos and B. Sturmfels:
The polytope of all triangulations of a point configuration.
Documenta mathematica,
1 (1996), p. 103-119 Bibtex [FREELINK] Journal Open Access
D. Eisenbud and B. Sturmfels:
Binomial ideals.
Duke mathematical journal,
84 (1996) 1, p. 1-45 Bibtex [DOI] [ARXIV] Repository 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] Repository 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,
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] Repository 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 Communications in computer algebra,
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.-P. 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.-P. 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
K. Kozhasov ; M. Michałek and B. Sturmfels:
Positivity certificates via integral representations.
Facets of algebraic geometry : a collection in honor of William Fulton's 80th birthday
; Volume 2 / P.
Aluffi... (eds.). Cambridge University Press, 2022. - P. 84-114 Bibtex MIS-Preprint: 66/2019 [DOI] [ARXIV] Repository Open Access
T. O.
Celik ; A. Jamneshan ; G. Montúfar ; B. Sturmfels and L. Venturello:
Optimal transport to a variety.
Mathematical aspects of computer and information sciences : 8th international conference,
MACIS 2019, Gebze-Istanbul, Turkey, November 13-15, 2019 ; revised selected papers / D.
Slamanig... (eds.). Springer, 2020. - P. 364-381
(Lecture notes in computer science ; 11989)
Bibtex MIS-Preprint: 7/2021 [DOI] [ARXIV] Repository Open Access
B. Sturmfels ; E. Tsukerman and L. Williams:
Symmetric matrices, Catalan paths, and correlations.
Proceedings of the 28th international conference on formal power series and algebraic
combinatorics, FPSAC 2016, Vancouver, Canada, July 4-8, 2016 Discrete Mathematics & Theoretical Computer Science (DMTCS), 2020. - P. 1135-1146
(DMTCS proceedings)
Bibtex [ARXIV] [FREELINK] Repository Open Access
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] [CODELINK] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Journal 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] [FREELINK] Repository 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] Repository 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] Repository Open Access
B. Sturmfels:
Algebraic recipes for integer programming.
Trends in Optimization / S.
Hoşten... (eds.). American Mathematical Society, 2004. - P. 99-113
(Proceedings of symposia in applied mathematics ; 61)
Bibtex [DOI] [ARXIV] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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] Repository 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. Hoşten 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.-C. 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
D. Agostini ; H. Markwig ; C. Nollau ; V. Schleis ; J. Sendra-Arranz and B. Sturmfels:
Recovery of plane curves from branch points.
Bibtex [ARXIV] [CODELINK] Repository Open Access
M. Borinsky ; A.-L. Sattelberger ; B. Sturmfels and S. Telen:
Bayesian integrals on toric varieties.
Bibtex [ARXIV] [CODELINK] Repository Open Access
M. A.
Hahn ; G. Nebe ; M. Stanojkovski and B. Sturmfels:
Subspaces fixed by a nilpotent matrix.
Bibtex [ARXIV] Repository Open Access
I. Portakal and B. Sturmfels:
Geometry of dependency equilibria.
Bibtex [ARXIV] Repository Open Access
B. Sturmfels ; S. Telen ; F.-X. Vialard and M. v.
Renesse:
Toric geometry of entropic regularization.
Bibtex [ARXIV] Repository Open Access
D. Agostini ; T. Brysiewicz ; C. Fevola ; L. Kühne ; B. Sturmfels and S. Telen:
Likelihood degenerations.
Bibtex [ARXIV] [CODELINK] Repository Open Access
T. Boege ; S. Petrović and B. Sturmfels:
Marginal independence models.
Bibtex [ARXIV] [CODELINK] Repository Open Access
M. Härkönen ; J. Hirsch and B. Sturmfels:
Making waves.
Bibtex [ARXIV] [CODELINK] Repository Open Access
T. P. Le ; C. Meroni ; B. Sturmfels ; R. F. Werner and T. Ziegler:
Quantum correlations in the minimal scenario.
Bibtex [ARXIV] Repository Open Access
A.-L. Sattelberger and B. Sturmfels:
D-modules and holonomic functions.
Bibtex [ARXIV] Repository Open Access
B. Lin ; B. Sturmfels ; X. Tang and R. Yoshida:
Appendix for 'Convexity in tree spaces'.
Bibtex [FREELINK]
S. Agarwal ; H.-L. Lee ; B. Sturmfels and R. R. Thomas:
Certifying the existence of epipolar matrices.
Bibtex [ARXIV] Repository 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]
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:
Gröbner bases of determinantal ideals.
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
J. Bokowski and B. Sturmfels:
Problems of geometrical realizability oriented matroids and chirotopes.
Bibtex [FREELINK]
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
M. Michałek and B. Sturmfels:
Invitation to nonlinear algebra.
American Mathematical Society, 2021. - 226 p.
(Graduate studies in mathematics ; 211)
ISBN 978-1-4704-5367-1 Bibtex [CODELINK]
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]
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