Edit Profile (opens in new tab) Sturmfels, Bernd Co-Author Distance Author ID: sturmfels.bernd Published as: Sturmfels, Bernd; Sturmfels, B. Further Spellings: Штрумфельс, Бернд Homepage: https://math.berkeley.edu/~bernd/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 309 Publications since 1986, including 15 Books 11 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 257 Co-Authors with 277 Joint Publications 4,982 Co-Co-Authors all top 5 Co-Authors 40 single-authored 12 Pachter, Lior 9 Ranestad, Kristian 9 Uhler, Caroline 8 Dickenstein, Alicia M. 8 Thomas, Rekha R. 7 Hoşten, Serkan 6 Bokowski, Jürgen G. 6 De Loera, Jesús A. 6 Sullivant, Seth 5 Billera, Louis J. 5 Cattani, Eduardo H. 5 Eisenbud, David 5 Joswig, Michael 5 Miller, Ezra 5 Morton, Jason 5 Peeva, Irena V. 5 Robeva, Elina 5 Shiu, Anne 5 Sottile, Frank 5 Takayama, Nobuki 5 Vinzant, Cynthia 5 Yu, Josephine 5 Zwiernik, Piotr 4 Agostini, Daniele 4 Améndola, Carlos 4 Çelik, Türkü Özlüm 4 Drton, Mathias 4 Fevola, Claudia 4 Lin, Shaowei 4 Michałek, Mateusz 4 Nie, Jiawang 4 Ottaviani, Giorgio Maria 4 Ren, Qingchun 4 Richter-Gebert, Jürgen 4 Saito, Mutsumi 4 Santos, Francisco 4 Seigal, Anna Leah 4 Telen, Simon 4 Zelevinskiĭ, Andreĭ V. 4 Ziegler, Günter Matthias 3 Barlow, Miriam 3 Bayer, David Allen 3 Beerenwinkel, Niko 3 Cartwright, Dustin A. 3 Diaconis, Persi Warren 3 Eriksson, Nicholas 3 Gritzmann, Peter 3 Huber, Birkett 3 Huggins, Peter 3 Kapranov, Mikhail M. 3 Kileel, Joe 3 Kleinschmidt, Peter 3 Kohn, Kathlén 3 Laubenbacher, Reinhard C. 3 Mira, Portia M. 3 Onn, Shmuel 3 Panizzut, Marta 3 Parrilo, Pablo A. 3 Plaumann, Daniel 3 Speyer, David E. 3 Stillman, Michael Eugene 2 Avramov, Luchezar L. 2 Björner, Anders 2 Breiding, Paul 2 Brodsky, Sarah B. 2 Brysiewicz, Taylor 2 Cid-Ruiz, Yairon 2 Cifuentes, Diego 2 Crona, Kristina 2 Cueto, María Angélica 2 Develin, Mike 2 Di Rocco, Sandra 2 Draisma, Jan 2 Feichtner, Eva Maria 2 Fulton, William 2 Green, Mark Lee 2 Greene, Devin C. V. 2 Härkönen, Marc 2 Hauenstein, Jonathan D. 2 Hemmecke, Raymond 2 Horobeţ, Emil 2 Huneke, Craig L. 2 Jamneshan, Asgar 2 Jensen, Anders Nedergaard 2 Kahle, Thomas 2 Kaihnsa, Nidhi 2 Khetan, Amit 2 Kubjas, Kaie 2 Kummer, Mario Denis 2 Las Vergnas, Michel 2 Maclagan, Diane 2 Mandelshtam, Yelena 2 Meza, Juan C. 2 Montúfar, Guido F. 2 Namin, Mahsa Sayyary 2 Ottem, John Christian 2 Pedersen, Paul S. 2 Reiner, Victor 2 Rostalski, Philipp 2 Roudneff, Jean-Pierre ...and 159 more Co-Authors all top 5 Serials 17 Journal of Symbolic Computation 10 Discrete & Computational Geometry 9 Journal of Algebra 8 Advances in Mathematics 7 Foundations of Computational Mathematics 6 Linear Algebra and its Applications 6 Mathematical Programming. Series A. Series B 5 Le Matematiche 5 Mathematische Zeitschrift 5 Notices of the American Mathematical Society 4 Bulletin of Mathematical Biology 4 Journal of Combinatorial Theory. Series A 4 Journal of Pure and Applied Algebra 4 SIAM Journal on Discrete Mathematics 4 Advances in Geometry 4 Journal of Algebraic Statistics 3 American Mathematical Monthly 3 Mathematics of Computation 3 Beiträge zur Algebra und Geometrie 3 The Annals of Statistics 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Advances in Applied Mathematics 3 Combinatorica 3 Journal of the American Mathematical Society 3 SIAM Journal on Matrix Analysis and Applications 3 IMRN. International Mathematics Research Notices 3 Journal of Algebraic Combinatorics 3 Documenta Mathematica 3 Algebraic Statistics 2 Discrete Mathematics 2 American Journal of Mathematics 2 Canadian Journal of Mathematics 2 Geometriae Dedicata 2 Journal für die Reine und Angewandte Mathematik 2 Mathematica Scandinavica 2 Mathematika 2 Topology 2 Proceedings of the National Academy of Sciences of the United States of America 2 Experimental Mathematics 2 Journal of Algebraic Geometry 2 The Electronic Journal of Combinatorics 2 Mathematical Research Letters 2 Bernoulli 2 Encyclopedia of Mathematics and Its Applications 2 Graduate Studies in Mathematics 2 Graduate Texts in Mathematics 2 Lecture Notes in Mathematics 2 Mathematical Sciences Research Institute Publications 2 Algorithms and Computation in Mathematics 2 PLOS ONE 2 Texts & Monographs in Symbolic Computation 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Nonlinearity 1 Scandinavian Journal of Statistics 1 Mathematics Magazine 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Kybernetika 1 Memoirs of the Faculty of Science. Series A. Mathematics 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Numerical Analysis 1 SIGSAM Bulletin 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Probability Theory and Related Fields 1 Complex Systems 1 The Annals of Applied Probability 1 International Journal of Algebra and Computation 1 Aequationes Mathematicae 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 SIAM Journal on Optimization 1 Combinatorics, Probability and Computing 1 International Journal of Computer Vision 1 Journal of Mathematical Sciences. University of Tokyo 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Statistica Sinica 1 Mathematical Finance ...and 30 more Serials all top 5 Fields 171 Algebraic geometry (14-XX) 122 Commutative algebra (13-XX) 80 Convex and discrete geometry (52-XX) 65 Combinatorics (05-XX) 61 Computer science (68-XX) 46 Statistics (62-XX) 34 Operations research, mathematical programming (90-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 27 Numerical analysis (65-XX) 22 Biology and other natural sciences (92-XX) 17 Geometry (51-XX) 11 Field theory and polynomials (12-XX) 10 General and overarching topics; collections (00-XX) 9 Special functions (33-XX) 9 Probability theory and stochastic processes (60-XX) 8 Associative rings and algebras (16-XX) 8 Group theory and generalizations (20-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Nonassociative rings and algebras (17-XX) 5 Algebraic topology (55-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 294 Publications have been cited 8,867 times in 5,328 Documents Cited by ▼ Year ▼ Gröbner bases and convex polytopes. Zbl 0856.13020Sturmfels, Bernd 571 1996 Combinatorial commutative algebra. Zbl 1090.13001Miller, Ezra; Sturmfels, Bernd 465 2005 Introduction to tropical geometry. Zbl 1321.14048Maclagan, Diane; Sturmfels, Bernd 358 2015 Solving systems of polynomial equations. Zbl 1101.13040Sturmfels, Bernd 259 2002 Oriented matroids. 2nd ed. Zbl 0944.52006Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter 212 1999 Algebraic algorithms for sampling from conditional distributions. Zbl 0952.62088Diaconis, Persi; Sturmfels, Bernd 199 1998 The tropical Grassmannian. Zbl 1065.14071Speyer, David; Sturmfels, Bernd 191 2004 Binomial ideals. Zbl 0873.13021Eisenbud, David; Sturmfels, Bernd 188 1996 Oriented matroids. Zbl 0773.52001Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M. 166 1993 Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 163 2000 Algorithms in invariant theory. Zbl 0802.13002Sturmfels, Bernd 161 1993 First steps in tropical geometry. Zbl 1093.14080Richter-Gebert, Jürgen; Sturmfels, Bernd; Theobald, Thorsten 145 2005 Algebraic statistics for computational biology. Zbl 1108.62118 145 2005 Tropical convexity. Zbl 1054.52004Develin, Mike; Sturmfels, Bernd 138 2004 Lectures on algebraic statistics. Zbl 1166.13001Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth 116 2009 Matroid polytopes, nested sets and Bergman fans. Zbl 1092.52006Feichtner, Eva Maria; Sturmfels, Bernd 111 2005 A polyhedral method for solving sparse polynomial systems. Zbl 0849.65030Huber, Birkett; Sturmfels, Bernd 97 1995 The number of eigenvalues of a tensor. Zbl 1277.15007Cartwright, Dustin; Sturmfels, Bernd 95 2013 Toric dynamical systems. Zbl 1188.37082Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd 95 2009 Minimizing polynomial functions. Zbl 1099.13516Parrilo, Pablo A.; Sturmfels, Bernd 89 2003 Intersection theory on toric varieties. Zbl 0885.14025Fulton, William; Sturmfels, Bernd 88 1997 Cellular resolutions of monomial modules. Zbl 0909.13011Bayer, Dave; Sturmfels, Bernd 87 1998 Algorithms in invariant theory. 2nd ed. Zbl 1154.13003Sturmfels, Bernd 87 2008 Combinatorial commutative algebra. Zbl 1066.13001Miller, Ezra; Sturmfels, Bernd 85 2005 Monomial resolutions. Zbl 0909.13010Bayer, Dave; Peeva, Irena; Sturmfels, Bernd 85 1998 Fiber polytopes. Zbl 0762.52003Billera, Louis J.; Sturmfels, Bernd 84 1992 On the Newton polytope of the resultant. Zbl 0798.05074Sturmfels, Bernd 79 1994 The Euclidean distance degree of an algebraic variety. Zbl 1370.51020Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R. 79 2016 Computing tropical varieties. Zbl 1121.14051Bogart, T.; Jensen, A. N.; Speyer, D.; Sturmfels, B.; Thomas, R. R. 74 2007 On the rank of a tropical matrix. Zbl 1095.15001Develin, Mike; Santos, Francisco; Sturmfels, Bernd 73 2005 Minimizing polynomials via sum of squares over the gradient ideal. Zbl 1134.90032Nie, Jiawang; Demmel, James; Sturmfels, Bernd 72 2006 On the toric algebra of graphical models. Zbl 1104.60007Geiger, Dan; Meek, Christopher; Sturmfels, Bernd 67 2006 Computational synthetic geometry. Zbl 0683.05015Bokowski, Jürgen; Sturmfels, Bernd 63 1989 Constructions and complexity of secondary polytopes. Zbl 0714.52004Billera, Louis J.; Filliman, Paul; Sturmfels, Bernd 62 1990 Algebraic geometry of Bayesian networks. Zbl 1126.68102Garcia, Luis David; Stillman, Michael; Sturmfels, Bernd 57 2005 Tropical mathematics. Zbl 1227.14051Speyer, David; Sturmfels, Bernd 57 2009 Multigraded Hilbert schemes. Zbl 1072.14007Haiman, Mark; Sturmfels, Bernd 56 2004 Toric ideals of phylogenetic invariants. Zbl 1391.13058Sturmfels, Bernd; Sullivant, Seth 56 2005 Tropical discriminants. Zbl 1166.14033Dickenstein, Alicia; Feichtner, Eva Maria; Sturmfels, Bernd 55 2007 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 50 1992 Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases. Zbl 0798.68157Gritzmann, Peter; Sturmfels, Bernd 49 1993 The algebraic degree of semidefinite programming. Zbl 1184.90119Nie, Jiawang; Ranestad, Kristian; Sturmfels, Bernd 46 2010 Syzygies of codimension 2 lattice ideals. Zbl 0918.13006Peeva, Irena; Sturmfels, Bernd 46 1998 Gröbner bases and Stanley decompositions of determinantal ideals. Zbl 0685.13005Sturmfels, Bernd 46 1990 Intersection theory on spherical varieties. Zbl 0819.14019Fulton, William; MacPherson, Robert; Sottile, F.; Sturmfels, Bernd 45 1995 Gröbner bases of toric varieties. Zbl 0714.14034Sturmfels, Bernd 43 1991 Maximal minors and their leading terms. Zbl 0776.13009Sturmfels, Bernd; Zelevinsky, Andrei V. 42 1993 Product formulas for resultants and Chow forms. Zbl 0792.13006Pedersen, Paul; Sturmfels, Bernd 42 1993 Sagbi bases of Cox-Nagata rings. Zbl 1202.14053Sturmfels, Bernd; Xu, Zhiqiang 41 2010 Toric hyperkähler varieties. Zbl 1029.53054Hausel, Tamás; Sturmfels, Bernd 41 2002 The maximum likelihood degree. Zbl 1123.13019Catanese, Fabrizio; Hoşten, Serkan; Khetan, Amit; Sturmfels, Bernd 41 2006 Orbitopes. Zbl 1315.52001Sanyal, Raman; Sottile, Frank; Sturmfels, Bernd 40 2011 Elimination theory for tropical varieties. Zbl 1157.14038Sturmfels, Bernd; Tevelev, Jenia 40 2008 How to draw tropical planes. Zbl 1195.14080Herrmann, Sven; Jensen, Anders; Joswig, Michael; Sturmfels, Bernd 39 2009 On vector partition functions. Zbl 0837.11055Sturmfels, Bernd 38 1995 Bounds on degrees of projective schemes. Zbl 0828.14040Sturmfels, Bernd; Ngô Viêt Trung; Vogel, Wolfgang 37 1995 Variation of cost functions in integer programming. Zbl 0888.90125Sturmfels, Bernd; Thomas, Rekha R. 35 1997 Generic lattice ideals. Zbl 0905.13005Peeva, Irena; Sturmfels, Bernd 35 1998 Quartic curves and their bitangents. Zbl 1214.14049Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia 35 2011 Computing linear matrix representations of Helton-Vinnikov curves. Zbl 1328.14093Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia 34 2012 Cellular strings on polytopes. Zbl 0812.52007Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 33 1994 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 33 1991 Sparse elimination theory. Zbl 0837.13011Sturmfels, Bernd 32 1993 Equations defining toric varieties. Zbl 0914.14022Sturmfels, Bernd 32 1997 Syzygies of oriented matroids. Zbl 1022.13002Novik, Isabella; Postnikov, Alexander; Sturmfels, Bernd 31 2002 Affine buildings and tropical convexity. Zbl 1133.52003Joswig, Michael; Sturmfels, Bernd; Yu, Josephine 31 2007 Computing combinatorial decompositions of rings. Zbl 0739.68051Sturmfels, Bernd; White, Neil 30 1991 Combinatorial secant varieties. Zbl 1107.14045Sturmfels, Bernd; Sullivant, Seth 30 2006 Polynomial equations and convex polytopes. Zbl 0988.52021Sturmfels, Bernd 30 1998 Hyperdeterminantal relations among symmetric principal minors. Zbl 1130.15005Holtz, Olga; Sturmfels, Bernd 30 2007 Higher Lawrence configurations. Zbl 1036.52018Santos, Francisco; Sturmfels, Bernd 30 2003 Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry. Zbl 1440.62255Sturmfels, Bernd; Uhler, Caroline 30 2010 Algorithms for the Quillen-Suslin theorem. Zbl 0747.13020Logar, Alessandro; Sturmfels, Bernd 29 1992 Computing Hopf bifurcations. I. Zbl 0948.37037Guckenheimer, John; Myers, Mark; Sturmfels, Bernd 29 1997 Generic and cogeneric monomial ideals. Zbl 0955.13008Miller, Ezra; Sturmfels, Bernd; Yanagawa, Kohji 29 2000 Tropical geometry of statistical models. Zbl 1135.62302Pachter, Lior; Sturmfels, Bernd 28 2004 Four counterexamples in combinatorial algebraic geometry. Zbl 1018.14022Sturmfels, Bernd 28 2000 Algebraic factor analysis: tetrads, pentads and beyond. Zbl 1111.13020Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth 28 2007 Extension spaces of oriented matroids. Zbl 0783.52009Sturmfels, Bernd; Ziegler, Günter M. 27 1993 Initial complexes of prime ideals. Zbl 0877.13025Kalkbrener, Michael; Sturmfels, Bernd 26 1995 A Hilbert scheme in computer vision. Zbl 1284.13035Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha 26 2013 Likelihood geometry. Zbl 1328.14004Huh, June; Sturmfels, Bernd 26 2014 Lattice walks and primary decomposition. Zbl 0962.05010Diaconis, Persi; Eisenbud, David; Sturmfels, Bernd 26 1998 Phylogenetic algebraic geometry. Zbl 1106.14050Eriksson, Nicholas; Ranestad, Kristian; Sturmfels, Bernd; Sullivant, Seth 24 2005 Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd 24 2012 The hyperdeterminant and triangulations of the 4-cube. Zbl 1194.52016Huggins, Peter; Sturmfels, Bernd; Yu, Josephine; Yuster, Debbie S. 24 2008 Toric geometry of cuts and splits. Zbl 1180.13040Sturmfels, Bernd; Sullivant, Seth 23 2008 Moduli of tropical plane curves. Zbl 1349.14043Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd 23 2015 Residues and resultants. Zbl 0933.14033Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd 23 1998 Solving the likelihood equations. Zbl 1097.13035Hosten, Serkan; Khetan, Amit; Sturmfels, Bernd 22 2005 Computations in algebraic geometry with Macaulay 2. Zbl 0973.00017 22 2002 Gröbner bases of lattices, corner polyhedra, and integer programming. Zbl 0863.90115Sturmfels, Bernd; Weismantel, Robert; Ziegler, Günter M. 22 1995 Computing multidimensional residues. Zbl 0882.13020Cattani, E.; Dickenstein, A.; Sturmfels, Bernd 22 1996 How to shell a monoid. Zbl 0893.20048Peeva, Irena; Reiner, Victor; Sturmfels, Bernd 22 1998 Simplicial cells in arrangements and mutations of oriented matroids. Zbl 0654.05019Roudneff, Jean-Pierre; Sturmfels, Bernd 22 1988 Exact solutions in structured low-rank approximation. Zbl 1318.14057Ottaviani, Giorgio; Spaenlehauer, Pierre-Jean; Sturmfels, Bernd 22 2014 Algebraic systems biology: a case study for the Wnt pathway. Zbl 1356.92038Gross, Elizabeth; Harrington, Heather A.; Rosen, Zvi; Sturmfels, Bernd 22 2016 Convex rank tests and semigraphoids. Zbl 1198.62038Morton, Jason; Pachter, Lior; Shiu, Anne; Sturmfels, Bernd; Wienand, Oliver 22 2009 Gröbner bases and invariant theory. Zbl 0695.13001Sturmfels, Bernd; White, Neil 21 1989 Cutting corners. Zbl 0955.52008Onn, Shmuel; Sturmfels, Bernd 20 1999 KP solitons from tropical limits. Zbl 1495.14046Agostini, Daniele; Fevola, Claudia; Mandelshtam, Yelena; Sturmfels, Bernd 4 2023 Primary decomposition with differential operators. Zbl 07726862Cid-Ruiz, Yairon; Sturmfels, Bernd 2 2023 Linear PDE with constant coefficients. Zbl 1514.13026Ait El Manssour, Rida; Härkönen, Marc; Sturmfels, Bernd 1 2023 Likelihood degenerations. Zbl 07656376Agostini, Daniele; Brysiewicz, Taylor; Fevola, Claudia; Kühne, Lukas; Sturmfels, Bernd; Telen, Simon 1 2023 Positivity certificates via integral representations. Zbl 1492.14107Kozhasov, Khazhgali; Michałek, Mateusz; Sturmfels, Bernd 1 2022 Geometry of dependency equilibria. Zbl 1518.14003Portakal, Irem; Sturmfels, Bernd 1 2022 Invitation to nonlinear algebra. Zbl 1477.14001Michałek, Mateusz; Sturmfels, Bernd 18 2021 Primary ideals and their differential equations. Zbl 1511.13027Cid-Ruiz, Yairon; Homs, Roser; Sturmfels, Bernd 11 2021 Likelihood equations and scattering amplitudes. Zbl 1515.62137Sturmfels, Bernd; Telen, Simon 7 2021 Wasserstein distance to independence models. Zbl 1460.62205Çelik, Türkü Özlüm; Jamneshan, Asgar; Montúfar, Guido; Sturmfels, Bernd; Venturello, Lorenzo 5 2021 Maximum likelihood estimation for totally positive log-concave densities. Zbl 1473.62048Robeva, Elina; Sturmfels, Bernd; Tran, Ngoc; Uhler, Caroline 4 2021 The Dubrovin threefold of an algebraic curve. Zbl 1465.14036Agostini, Daniele; Çelik, Türkü Özlüm; Sturmfels, Bernd 4 2021 Pencils of quadrics: old and new. Zbl 1480.14037Fevola, C.; Mandelshtam, Y.; Sturmfels, B. 4 2021 Discrete statistical models with rational maximum likelihood estimator. Zbl 1465.62184Duarte, Eliana; Marigliano, Orlando; Sturmfels, Bernd 4 2021 Theta surfaces. Zbl 1468.14080Agostini, Daniele; Çelik, Türkü Özlüm; Struwe, Julia; Sturmfels, Bernd 2 2021 Bad projections of the PSD cone. Zbl 1467.14120Jiang, Yuhan; Sturmfels, Bernd 2 2021 Jordan algebras of symmetric matrices. Zbl 1519.17034Bik, A.; Eisenmann, H.; Sturmfels, B. 1 2021 Tangent quadrics in real 3-space. Zbl 1481.14082Brysiewicz, T.; Fevola, C.; Sturmfels, B. 1 2021 Estimating linear covariance models with numerical nonlinear algebra. Zbl 1461.62230Sturmfels, Bernd; Timme, Sascha; Zwiernik, Piotr 9 2020 The Schläfli fan. Zbl 1505.14128Joswig, Michael; Panizzut, Marta; Sturmfels, Bernd 6 2020 Twenty-seven questions about the cubic surface. Zbl 1454.14104Ranestad, Kristian; Sturmfels, Bernd 6 2020 An octanomial model for cubic surfaces. Zbl 1451.14116Panizzut, Marta; Sertöz, Emre; Sturmfels, Bernd 6 2020 The geometry of SDP-exactness in quadratic optimization. Zbl 1445.90075Cifuentes, Diego; Harris, Corey; Sturmfels, Bernd 5 2020 Moment varieties of measures on polytopes. Zbl 1506.13047Kohn, Kathlén; Shapiro, Boris; Sturmfels, Bernd 5 2020 3264 conics in a second. Zbl 1437.14053Breiding, Paul; Sturmfels, Bernd; Timme, Sascha 4 2020 Optimal transport to a variety. Zbl 07441083Çelik, Türkü Özlüm; Jamneshan, Asgar; Montúfar, Guido; Sturmfels, Bernd; Venturello, Lorenzo 4 2020 Brownian motion tree models are toric. Zbl 07332783Sturmfels, Bernd; Uhler, Caroline; Zwiernik, Piotr 3 2020 Algebraic analysis of rotation data. Zbl 1461.62220Adamer, Michael F.; Lőrincz, András C.; Sattelberger, Anna-Laura; Sturmfels, Bernd 2 2020 Varieties of signature tensors. Zbl 1411.14068Améndola, Carlos; Friz, Peter; Sturmfels, Bernd 11 2019 Learning paths from signature tensors. Zbl 1469.14116Pfeffer, Max; Seigal, Anna; Sturmfels, Bernd 8 2019 Schottky algorithms: classical meets tropical. Zbl 1505.14071Chua, Lynn; Kummer, Mario; Sturmfels, Bernd 8 2019 The geometry of gaussoids. Zbl 1453.13076Boege, Tobias; D’Alì, Alessio; Kahle, Thomas; Sturmfels, Bernd 7 2019 Geometry of log-concave density estimation. Zbl 1416.62202Robeva, Elina; Sturmfels, Bernd; Uhler, Caroline 3 2019 Sixty-four curves of degree six. Zbl 1440.14270Kaihnsa, Nidhi; Kummer, Mario; Plaumann, Daniel; Namin, Mahsa Sayyary; Sturmfels, Bernd 3 2019 Computing convex hulls of trajectories. Zbl 07149412Ciripoi, Daniel; Kaihnsa, Nidhi; Löhne, Andreas; Sturmfels, Bernd 1 2019 Learning algebraic varieties from samples. Zbl 1481.13040Breiding, Paul; Kališnik, Sara; Sturmfels, Bernd; Weinstein, Madeleine 15 2018 Algebraic identifiability of Gaussian mixtures. Zbl 1423.14284Améndola, Carlos; Ranestad, Kristian; Sturmfels, Bernd 10 2018 Nearest points on toric varieties. Zbl 1393.14049Helmer, Martin; Sturmfels, Bernd 8 2018 Distortion varieties. Zbl 1408.14191Kileel, Joe; Kukelova, Zuzana; Pajdla, Tomas; Sturmfels, Bernd 3 2018 Changing views on curves and surfaces. Zbl 1388.14160Kohn, Kathlén; Sturmfels, Bernd; Trager, Matthew 2 2018 Real space sextics and their tritangents. Zbl 1467.14148Kulkarni, Avinash; Ren, Yue; Sayyary Namin, Mahsa; Sturmfels, Bernd 2 2018 The Hurwitz form of a projective variety. Zbl 1359.14043Sturmfels, Bernd 17 2017 Eigenconfigurations of tensors. Zbl 1360.15011Abo, Hirotachi; Seigal, Anna; Sturmfels, Bernd 16 2017 Real rank geometry of ternary forms. Zbl 1390.14179Michałek, Mateusz; Moon, Hyunsuk; Sturmfels, Bernd; Ventura, Emanuele 15 2017 Convexity in tree spaces. Zbl 1370.05040Lin, Bo; Sturmfels, Bernd; Tang, Xiaoxian; Yoshida, Ruriko 13 2017 Real rank two geometry. Zbl 1401.14229Seigal, Anna; Sturmfels, Bernd 7 2017 Congruences and concurrent lines in multi-view geometry. Zbl 1367.14022Ponce, Jean; Sturmfels, Bernd; Trager, Mathew 6 2017 On the existence of epipolar matrices. Zbl 1458.68222Agarwal, Sameer; Lee, Hon-Leung; Sturmfels, Bernd; Thomas, Rekha R. 5 2017 How to flatten a soccer ball. Zbl 1406.14042Kubjas, Kaie; Parrilo, Pablo A.; Sturmfels, Bernd 2 2017 Combinatorial algebraic geometry. Selected papers from the 2016 apprenticeship program, Ottawa, Canada, July–December 2016. Zbl 1387.14014 1 2017 The Euclidean distance degree of an algebraic variety. Zbl 1370.51020Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R. 79 2016 Algebraic systems biology: a case study for the Wnt pathway. Zbl 1356.92038Gross, Elizabeth; Harrington, Heather A.; Rosen, Zvi; Sturmfels, Bernd 22 2016 Exponential varieties. Zbl 1345.14048Michałek, Mateusz; Sturmfels, Bernd; Uhler, Caroline; Zwiernik, Piotr 18 2016 Moment varieties of Gaussian mixtures. Zbl 1361.13017Améndola, Carlos; Faugère, Jean-Charles; Sturmfels, Bernd 14 2016 Tensors and their eigenvectors. Zbl 1352.15030Sturmfels, Bernd 11 2016 Duality of multiple root loci. Zbl 1346.14126Lee, Hwangrae; Sturmfels, Bernd 10 2016 Tropicalization of del Pezzo surfaces. Zbl 1375.14218Ren, Qingchun; Shaw, Kristin; Sturmfels, Bernd 10 2016 Decomposing tensors into frames. Zbl 1331.15019Oeding, Luke; Robeva, Elina; Sturmfels, Bernd 7 2016 Symmetric matrices, Catalan paths, and correlations. Zbl 1344.05042Sturmfels, Bernd; Tsukerman, Emmanuel; Williams, Lauren 3 2016 Computing the Chow variety of quadratic space curves. Zbl 1460.14132Bürgisser, Peter; Kohn, Kathlén; Lairez, Pierre; Sturmfels, Bernd 2 2016 Maximum likelihood estimates for Gaussian mixtures are transcendental. Zbl 1460.62081Améndola, Carlos; Drton, Mathias; Sturmfels, Bernd 2 2016 Rigid multiview varieties. Zbl 1360.13063Joswig, Michael; Kileel, Joe; Sturmfels, Bernd; Wagner, André 1 2016 Introduction to tropical geometry. Zbl 1321.14048Maclagan, Diane; Sturmfels, Bernd 358 2015 Moduli of tropical plane curves. Zbl 1349.14043Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd 23 2015 Fixed points of the EM algorithm and nonnegative rank boundaries. Zbl 1308.62035Kubjas, Kaie; Robeva, Elina; Sturmfels, Bernd 15 2015 Quartic spectrahedra. Zbl 1328.14091Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd; Vinzant, Cynthia 15 2015 A family of quasisymmetry models. Zbl 1344.05155Kateri, Maria; Mohammadi, Fatemeh; Sturmfels, Bernd 13 2015 Tensors of nonnegative rank two. Zbl 1312.15033Allman, Elizabeth S.; Rhodes, John A.; Sturmfels, Bernd; Zwiernik, Piotr 12 2015 Generic spectrahedral shadows. Zbl 1346.14132Sinn, Rainer; Sturmfels, Bernd 9 2015 Cayley-Bacharach formulas. Zbl 1346.14083Ren, Qingchun; Richter-Gebert, Jürgen; Sturmfels, Bernd 5 2015 Rational design of antibiotic treatment plans: a treatment strategy for managing evolution and reversing resistance. Zbl 1375.92032Mira, Portia M.; Crona, Kristina; Greene, Devin; Meza, Juan C.; Sturmfels, Bernd; Barlow, Miriam 3 2015 Correction: “Rational design of antibiotic treatment plans: a treatment strategy for managing evolution and reversing resistance”. Zbl 1376.92025Mira, Portia M.; Crona, Kristina; Greene, Devin; Meza, Juan C.; Sturmfels, Bernd; Barlow, Miriam 2 2015 Likelihood geometry. Zbl 1328.14004Huh, June; Sturmfels, Bernd 26 2014 Exact solutions in structured low-rank approximation. Zbl 1318.14057Ottaviani, Giorgio; Spaenlehauer, Pierre-Jean; Sturmfels, Bernd 22 2014 Maximum likelihood for matrices with rank constraints. Zbl 1345.62043Hauenstein, Jonathan; Rodriguez, Jose Israel; Sturmfels, Bernd 16 2014 Tropicalization of classical moduli spaces. Zbl 1305.14031Ren, Qingchun; Sam, Steven V.; Sturmfels, Bernd 10 2014 Hypersurfaces and their singularities in partial correlation testing. Zbl 1308.62110Lin, Shaowei; Uhler, Caroline; Sturmfels, Bernd; Bühlmann, Peter 5 2014 The Euclidean distance degree. Zbl 1346.68281Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha 2 2014 The number of eigenvalues of a tensor. Zbl 1277.15007Cartwright, Dustin; Sturmfels, Bernd 95 2013 A Hilbert scheme in computer vision. Zbl 1284.13035Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha 26 2013 The entropic discriminant. Zbl 1284.15006Sanyal, Raman; Sturmfels, Bernd; Vinzant, Cynthia 19 2013 Mixed discriminants. Zbl 1273.13051Cattani, Eduardo; Cueto, María Angélica; Dickenstein, Alicia; Di Rocco, Sandra; Sturmfels, Bernd 15 2013 Binary cumulant varieties. Zbl 1274.13048Sturmfels, Bernd; Zwiernik, Piotr 13 2013 Monomials, binomials and Riemann-Roch. Zbl 1272.13017Manjunath, Madhusudan; Sturmfels, Bernd 13 2013 The universal Kummer threefold. Zbl 1312.14103Ren, Qingchun; Sam, Steven V.; Schrader, Gus; Sturmfels, Bernd 11 2013 Elliptic curves in honeycomb form. Zbl 1312.14142Chan, Melody; Sturmfels, Bernd 9 2013 Dualities. Zbl 1360.90195Rostalski, Philipp; Sturmfels, Bernd 9 2013 Matrices with eigenvectors in a given subspace. Zbl 1272.15010Ottaviani, Giorgio; Sturmfels, Bernd 8 2013 Combinatorial types of tropical eigenvectors. Zbl 1269.15009Sturmfels, Bernd; Tran, Ngoc Mai 6 2013 Toric cubes. Zbl 1315.52011Engström, Alexander; Hersh, Patricia; Sturmfels, Bernd 4 2013 Capacity pre-log of noncoherent SIMO channels via Hironaka’s theorem. Zbl 1364.94430Morgenshtern, Veniamin I.; Riegler, Erwin; Yang, Wei; Durisi, Giuseppe; Lin, Shaowei; Sturmfels, Bernd; Bölcskei, Helmut 1 2013 Computing linear matrix representations of Helton-Vinnikov curves. Zbl 1328.14093Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia 34 2012 Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd 24 2012 The central curve in linear programming. Zbl 1254.90108De Loera, Jesús A.; Sturmfels, Bernd; Vinzant, Cynthia 17 2012 On the convex hull of a space curve. Zbl 1245.14033Ranestad, Kristian; Sturmfels, Bernd 14 2012 Commutative algebra of statistical ranking. Zbl 1316.13042Sturmfels, Bernd; Welker, Volkmar 11 2012 Graphical models for correlated defaults. Zbl 1270.91092Filiz, Ismail Onur; Guo, Xin; Morton, Jason; Sturmfels, Bernd 3 2012 Geometry of higher-order Markov chains. Zbl 1347.60103Sturmfels, Bernd 2 2012 Orbitopes. Zbl 1315.52001Sanyal, Raman; Sottile, Frank; Sturmfels, Bernd 40 2011 Quartic curves and their bitangents. Zbl 1214.14049Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia 35 2011 ...and 194 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,179 Authors 148 Sturmfels, Bernd 40 Hibi, Takayuki 35 Dickenstein, Alicia M. 35 Michałek, Mateusz 33 Joswig, Michael 33 Sullivant, Seth 32 Sottile, Frank 31 Gaubert, Stéphane 29 Mohammadi, Fatemeh 29 Onn, Shmuel 27 Craciun, Gheorghe 27 De Loera, Jesús A. 27 Nie, Jiawang 27 Takemura, Akimichi 25 Bokowski, Jürgen G. 25 Conca, Aldo 25 Shitov, Yaroslav Nikolaevich 24 Hauenstein, Jonathan D. 24 Ohsugi, Hidefumi 24 Thomas, Rekha R. 24 Villarreal, Rafael Heraclio 23 Kahle, Thomas 23 Matusevich, Laura Felicia 22 Grigor’ev, Dmitriĭ Yur’evich 22 Markwig, Hannah 22 Takayama, Nobuki 21 Herzog, Jürgen 21 Thoma, Apostolos 20 Manon, Christopher 20 Qi, Liqun 20 Santos, Francisco 19 Ottaviani, Giorgio Maria 18 Draisma, Jan 18 Drton, Mathias 18 Mourrain, Bernard 18 Petrović, Sonja 18 Yoshida, Ruriko 17 Izhakian, Zur 17 Kummer, Mario Denis 17 Miller, Ezra 17 Padrol, Arnau 17 Pilaud, Vincent 17 Safey El Din, Mohab 17 Sanyal, Raman 17 Varbaro, Matteo 17 Walther, Uli 17 Welker, Volkmar 17 Ziegler, Günter Matthias 16 Ardila, Federico 16 D’Andrea, Carlos 16 Emiris, Ioannis Z. 16 Gross, Elizabeth 16 Hemmecke, Raymond 16 Parrilo, Pablo A. 16 Rodriguez, Jose Israel 16 Römer, Tim 16 Verschelde, Jan 16 Vinzant, Cynthia 16 Yu, Josephine 15 Aoki, Satoshi 15 Diaconis, Persi Warren 15 Hoşten, Serkan 15 Katthän, Lukas 15 Maclagan, Diane 15 Nakazato, Hiroshi 15 Ojeda Martínez de Castilla, Ignacio 15 Richter-Gebert, Jürgen 14 Breiding, Paul 14 Bruns, Winfried 14 Cid-Ruiz, Yairon 14 Felsner, Stefan 14 Shiu, Anne 13 Chien, Mao-Ting 13 Kubjas, Kaie 13 Leykin, Anton 13 Morales, Marcel 13 Morrison, Ralph 13 Ramírez Alfonsín, Jorge Luis 13 Rapallo, Fabio 13 Seiler, Werner M. 12 Allamigeon, Xavier 12 Delucchi, Emanuele 12 Esterov, Alexander I. 12 Fink, Alex 12 Hà, Huy Tài 12 Hu, ShengLong 12 Huh, June 12 Jeronimo, Gabriela 12 Johnston, Matthew D. 12 Oeding, Luke 12 Reiner, Victor 12 Rincón, Felipe 12 Rowen, Louis Halle 12 Theobald, Thorsten 12 Uhler, Caroline 12 Van Tuyl, Adam 12 Weismantel, Robert 12 Zwiernik, Piotr 11 De Negri, Emanuela 11 Di Rocco, Sandra ...and 5,079 more Authors all top 5 Cited in 573 Serials 295 Journal of Symbolic Computation 237 Journal of Algebra 166 Discrete & Computational Geometry 163 Journal of Pure and Applied Algebra 157 Linear Algebra and its Applications 147 Advances in Mathematics 108 Journal of Combinatorial Theory. 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Serie Quarta 11 Automatica 11 Bulletin of the London Mathematical Society 11 Nagoya Mathematical Journal 11 Journal of Global Optimization 11 SIAM Journal on Applied Dynamical Systems 10 Rocky Mountain Journal of Mathematics 10 Acta Applicandae Mathematicae 10 Order ...and 473 more Serials all top 5 Cited in 61 Fields 2,033 Algebraic geometry (14-XX) 1,553 Commutative algebra (13-XX) 1,209 Combinatorics (05-XX) 1,022 Convex and discrete geometry (52-XX) 556 Computer science (68-XX) 515 Linear and multilinear algebra; matrix theory (15-XX) 410 Operations research, mathematical programming (90-XX) 371 Numerical analysis (65-XX) 355 Statistics (62-XX) 284 Group theory and generalizations (20-XX) 252 Associative rings and algebras (16-XX) 248 Biology and other natural sciences (92-XX) 205 Number theory (11-XX) 178 Several complex variables and analytic spaces (32-XX) 168 Field theory and polynomials (12-XX) 163 Probability theory and stochastic processes (60-XX) 152 Order, lattices, ordered algebraic structures (06-XX) 144 Quantum theory (81-XX) 135 Dynamical systems and ergodic theory (37-XX) 131 Geometry (51-XX) 106 Special functions (33-XX) 105 Algebraic topology (55-XX) 102 Ordinary differential equations (34-XX) 100 Manifolds and cell complexes (57-XX) 87 Differential geometry (53-XX) 84 Nonassociative rings and algebras (17-XX) 78 Information and communication theory, circuits (94-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Systems theory; control (93-XX) 56 Partial differential equations (35-XX) 50 Real functions (26-XX) 47 Operator theory (47-XX) 43 Functions of a complex variable (30-XX) 41 Statistical mechanics, structure of matter (82-XX) 39 Topological groups, Lie groups (22-XX) 38 Mechanics of particles and systems (70-XX) 33 Category theory; homological algebra (18-XX) 31 Mathematical logic and foundations (03-XX) 30 General and overarching topics; collections (00-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Global analysis, analysis on manifolds (58-XX) 24 Approximations and expansions (41-XX) 24 General topology (54-XX) 24 Classical thermodynamics, heat transfer (80-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 20 Functional analysis (46-XX) 18 \(K\)-theory (19-XX) 17 Relativity and gravitational theory (83-XX) 16 General algebraic systems (08-XX) 16 Difference and functional equations (39-XX) 16 Integral transforms, operational calculus (44-XX) 13 History and biography (01-XX) 11 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 5 Potential theory (31-XX) 5 Integral equations (45-XX) 4 Abstract harmonic analysis (43-XX) 3 Mathematics education (97-XX) 2 Measure and integration (28-XX) 2 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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