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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]
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]