Edit Profile Sturmfels, Bernd Compute Distance To: Compute Author ID: sturmfels.bernd Published as: Sturmfels, B.; Sturmfels, Bernd Homepage: http://math.berkeley.edu/~bernd/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND Documents Indexed: 294 Publications since 1986, including 24 Books Biographic References: 2 Publications all top 5 Co-Authors 39 single-authored 12 Pachter, Lior 8 Dickenstein, Alicia M. 8 Ranestad, Kristian 8 Thomas, Rekha R. 8 White, Neil M. 7 Uhler, Caroline 6 Bokowski, Jürgen G. 6 De Loera, Jesús A. 6 Hoşten, Serkan 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 Shiu, Anne 5 Sottile, Frank 5 Takayama, Nobuki 5 Vinzant, Cynthia 5 Yu, Josephine 5 Zwiernik, Piotr 4 Améndola, Carlos 4 Drton, Mathias 4 Lin, Shaowei 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 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 Kleinschmidt, Peter 3 Laubenbacher, Reinhard C. 3 Michałek, Mateusz 3 Mira, Portia M. 3 Onn, Shmuel 3 Panizzut, Marta 3 Parrilo, Pablo A. 3 Plaumann, Daniel 3 Robeva, Elina 3 Speyer, David E. 3 Stillman, Michael Eugene 2 Avramov, Luchezar L. 2 Björner, Anders 2 Breiding, Paul 2 Brodsky, Sarah B. 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 Hauenstein, Jonathan D. 2 Hemmecke, Raymond 2 Horobeţ, Emil 2 Huneke, Craig L. 2 Jensen, Anders Nedergaard 2 Kahle, Thomas 2 Kaihnsa, Nidhi 2 Khetan, Amit 2 Kileel, Joe 2 Kohn, Kathlén 2 Kubjas, Kaie 2 Kummer, Mario Denis 2 Las Vergnas, Michel 2 Maclagan, Diane 2 Meza, Juan C. 2 Namin, Mahsa Sayyary 2 Ottem, John Christian 2 Pedersen, Paul S. 2 Reiner, Victor 2 Rostalski, Philipp 2 Roudneff, Jean-Pierre 2 Sam, Steven V. 2 Sanyal, Raman 2 Smith, Karen E. 2 Tevelev, Jenia 2 Timme, Sascha 2 Tsukerman, Emmanuel 2 Wienand, Oliver 2 Williams, Lauren K. 2 Xu, Zhiqiang 2 Yoshida, Ruriko ...and 132 more Co-Authors all top 5 Serials 14 Journal of Symbolic Computation 9 Journal of Algebra 9 Discrete & Computational Geometry 7 Advances in Mathematics 6 Linear Algebra and its Applications 6 Mathematical Programming. Series A. Series B 6 Foundations of Computational Mathematics 5 Mathematische Zeitschrift 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 Notices of the American Mathematical Society 4 Advances in Geometry 4 Journal of Algebraic Statistics 3 American Mathematical Monthly 3 Mathematics of Computation 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 Journal of Algebraic Combinatorics 3 Documenta Mathematica 2 Discrete Mathematics 2 Beiträge zur Algebra und Geometrie 2 American Journal of Mathematics 2 Canadian Journal of Mathematics 2 Geometriae Dedicata 2 Journal für die Reine und Angewandte Mathematik 2 Le Matematiche 2 Mathematica Scandinavica 2 Mathematika 2 Topology 2 IMRN. International Mathematics Research Notices 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 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 2 Algebraic Statistics 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 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 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 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Numerical Analysis 1 SIGSAM Bulletin 1 Tohoku 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 Selecta Mathematica. New Series 1 Statistica Sinica 1 Mathematical Finance 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Combinatorics 1 Revista Matemática Complutense 1 RIMS Kokyuroku 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Moscow Mathematical Journal ...and 20 more Serials all top 5 Fields 151 Algebraic geometry (14-XX) 116 Commutative algebra (13-XX) 74 Convex and discrete geometry (52-XX) 63 Combinatorics (05-XX) 59 Computer science (68-XX) 38 Statistics (62-XX) 30 Operations research, mathematical programming (90-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 25 Numerical analysis (65-XX) 22 Biology and other natural sciences (92-XX) 17 Geometry (51-XX) 11 General and overarching topics; collections (00-XX) 11 Field theory and polynomials (12-XX) 9 Special functions (33-XX) 9 Probability theory and stochastic processes (60-XX) 8 Associative rings and algebras (16-XX) 7 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Algebraic topology (55-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-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 Differential geometry (53-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 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 264 Publications have been cited 7,128 times in 4,271 Documents Cited by ▼ Year ▼ Gröbner bases and convex polytopes. Zbl 0856.13020Sturmfels, Bernd 519 1996 Combinatorial commutative algebra. Zbl 1090.13001Miller, Ezra; Sturmfels, Bernd 357 2005 Introduction to tropical geometry. Zbl 1321.14048Maclagan, Diane; Sturmfels, Bernd 224 2015 Solving systems of polynomial equations. Zbl 1101.13040Sturmfels, Bernd 207 2002 Oriented matroids. Zbl 0773.52001Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M. 191 1993 Algebraic algorithms for sampling from conditional distributions. Zbl 0952.62088Diaconis, Persi; Sturmfels, Bernd 169 1998 Binomial ideals. Zbl 0873.13021Eisenbud, David; Sturmfels, Bernd 165 1996 Oriented matroids. 2nd ed. Zbl 0944.52006Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter 161 1999 Algorithms in invariant theory. Zbl 0802.13002Sturmfels, Bernd 158 1993 The tropical Grassmannian. Zbl 1065.14071Speyer, David; Sturmfels, Bernd 148 2004 Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 134 2000 First steps in tropical geometry. Zbl 1093.14080Richter-Gebert, Jürgen; Sturmfels, Bernd; Theobald, Thorsten 132 2005 Algebraic statistics for computational biology. Zbl 1108.62118Pachter, Lior (ed.); Sturmfels, Bernd (ed.) 125 2005 Tropical convexity. Zbl 1054.52004Develin, Mike; Sturmfels, Bernd 109 2004 Lectures on algebraic statistics. Zbl 1166.13001Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth 95 2009 Minimizing polynomial functions. Zbl 1099.13516Parrilo, Pablo A.; Sturmfels, Bernd 85 2003 A polyhedral method for solving sparse polynomial systems. Zbl 0849.65030Huber, Birkett; Sturmfels, Bernd 82 1995 Combinatorial commutative algebra. Zbl 1066.13001Miller, Ezra; Sturmfels, Bernd 77 2005 Monomial resolutions. Zbl 0909.13010Bayer, Dave; Peeva, Irena; Sturmfels, Bernd 71 1998 The number of eigenvalues of a tensor. Zbl 1277.15007Cartwright, Dustin; Sturmfels, Bernd 70 2013 Matroid polytopes, nested sets and Bergman fans. Zbl 1092.52006Feichtner, Eva Maria; Sturmfels, Bernd 70 2005 Cellular resolutions of monomial modules. Zbl 0909.13011Bayer, Dave; Sturmfels, Bernd 70 1998 Fiber polytopes. Zbl 0762.52003Billera, Louis J.; Sturmfels, Bernd 68 1992 Toric dynamical systems. Zbl 1188.37082Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd 66 2009 Intersection theory on toric varieties. Zbl 0885.14025Fulton, William; Sturmfels, Bernd 65 1997 On the Newton polytope of the resultant. Zbl 0798.05074Sturmfels, Bernd 65 1994 Computing tropical varieties. Zbl 1121.14051Bogart, T.; Jensen, A. N.; Speyer, D.; Sturmfels, B.; Thomas, R. R. 63 2007 On the rank of a tropical matrix. Zbl 1095.15001Develin, Mike; Santos, Francisco; Sturmfels, Bernd 62 2005 On the toric algebra of graphical models. Zbl 1104.60007Geiger, Dan; Meek, Christopher; Sturmfels, Bernd 60 2006 Minimizing polynomials via sum of squares over the gradient ideal. Zbl 1134.90032Nie, Jiawang; Demmel, James; Sturmfels, Bernd 60 2006 Constructions and complexity of secondary polytopes. Zbl 0714.52004Billera, Louis J.; Filliman, Paul; Sturmfels, Bernd 59 1990 Computational synthetic geometry. Zbl 0683.05015Bokowski, Jürgen; Sturmfels, Bernd 57 1989 Algorithms in invariant theory. 2nd ed. Zbl 1154.13003Sturmfels, Bernd 56 2008 The Euclidean distance degree of an algebraic variety. Zbl 1370.51020Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R. 51 2016 Tropical discriminants. Zbl 1166.14033Dickenstein, Alicia; Feichtner, Eva Maria; Sturmfels, Bernd 50 2007 Toric ideals of phylogenetic invariants. Zbl 1391.13058Sturmfels, Bernd; Sullivant, Seth 48 2005 Algebraic geometry of Bayesian networks. Zbl 1126.68102Garcia, Luis David; Stillman, Michael; Sturmfels, Bernd 48 2005 Tropical mathematics. Zbl 1227.14051Speyer, David; Sturmfels, Bernd 45 2009 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 44 1992 Multigraded Hilbert schemes. Zbl 1072.14007Haiman, Mark; Sturmfels, Bernd 43 2004 Syzygies of codimension 2 lattice ideals. Zbl 0918.13006Peeva, Irena; Sturmfels, Bernd 43 1998 Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases. Zbl 0798.68157Gritzmann, Peter; Sturmfels, Bernd 42 1993 Intersection theory on spherical varieties. Zbl 0819.14019Fulton, William; MacPherson, Robert; Sottile, F.; Sturmfels, Bernd 40 1995 Gröbner bases of toric varieties. Zbl 0714.14034Sturmfels, Bernd 40 1991 Product formulas for resultants and Chow forms. Zbl 0792.13006Pedersen, Paul; Sturmfels, Bernd 38 1993 Sagbi bases of Cox-Nagata rings. Zbl 1202.14053Sturmfels, Bernd; Xu, Zhiqiang 37 2010 Gröbner bases and Stanley decompositions of determinantal ideals. Zbl 0685.13005Sturmfels, Bernd 36 1990 The algebraic degree of semidefinite programming. Zbl 1184.90119Nie, Jiawang; Ranestad, Kristian; Sturmfels, Bernd 35 2010 Elimination theory for tropical varieties. Zbl 1157.14038Sturmfels, Bernd; Tevelev, Jenia 34 2008 Generic lattice ideals. Zbl 0905.13005Peeva, Irena; Sturmfels, Bernd 34 1998 Toric hyperkähler varieties. Zbl 1029.53054Hausel, Tamás; Sturmfels, Bernd 33 2002 Bounds on degrees of projective schemes. Zbl 0828.14040Sturmfels, Bernd; Ngô Viêt Trung; Vogel, Wolfgang 31 1995 Sparse elimination theory. Zbl 0837.13011Sturmfels, Bernd 31 1993 Combinatorial secant varieties. Zbl 1107.14045Sturmfels, Bernd; Sullivant, Seth 29 2006 On vector partition functions. Zbl 0837.11055Sturmfels, Bernd 29 1995 Maximal minors and their leading terms. Zbl 0776.13009Sturmfels, Bernd; Zelevinsky, Andrei V. 29 1993 Quartic curves and their bitangents. Zbl 1214.14049Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia 28 2011 Syzygies of oriented matroids. Zbl 1022.13002Novik, Isabella; Postnikov, Alexander; Sturmfels, Bernd 28 2002 Equations defining toric varieties. Zbl 0914.14022Sturmfels, Bernd 28 1997 The maximum likelihood degree. Zbl 1123.13019Catanese, Fabrizio; Hoşten, Serkan; Khetan, Amit; Sturmfels, Bernd 27 2006 Higher Lawrence configurations. Zbl 1036.52018Santos, Francisco; Sturmfels, Bernd 27 2003 Algorithms for the Quillen-Suslin theorem. Zbl 0747.13020Logar, Alessandro; Sturmfels, Bernd 27 1992 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 27 1991 Computing combinatorial decompositions of rings. Zbl 0739.68051Sturmfels, Bernd; White, Neil 27 1991 Affine buildings and tropical convexity. Zbl 1133.52003Joswig, Michael; Sturmfels, Bernd; Yu, Josephine 26 2007 Generic and cogeneric monomial ideals. Zbl 0955.13008Miller, Ezra; Sturmfels, Bernd; Yanagawa, Kohji 26 2000 Polynomial equations and convex polytopes. Zbl 0988.52021Sturmfels, Bernd 26 1998 Variation of cost functions in integer programming. Zbl 0888.90125Sturmfels, Bernd; Thomas, Rekha R. 26 1997 Computing linear matrix representations of Helton-Vinnikov curves. Zbl 1328.14093Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia 25 2012 How to draw tropical planes. Zbl 1195.14080Herrmann, Sven; Jensen, Anders; Joswig, Michael; Sturmfels, Bernd 25 2009 Computing Hopf bifurcations. I. Zbl 0948.37037Guckenheimer, John; Myers, Mark; Sturmfels, Bernd 25 1997 Orbitopes. Zbl 1315.52001Sanyal, Raman; Sottile, Frank; Sturmfels, Bernd 24 2011 Lattice walks and primary decomposition. Zbl 0962.05010Diaconis, Persi; Eisenbud, David; Sturmfels, Bernd 23 1998 Initial complexes of prime ideals. Zbl 0877.13025Kalkbrener, Michael; Sturmfels, Bernd 23 1995 Cellular strings on polytopes. Zbl 0812.52007Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 23 1994 Hyperdeterminantal relations among symmetric principal minors. Zbl 1130.15005Holtz, Olga; Sturmfels, Bernd 22 2007 Extension spaces of oriented matroids. Zbl 0783.52009Sturmfels, Bernd; Ziegler, Günter M. 22 1993 Algebraic factor analysis: tetrads, pentads and beyond. Zbl 1111.13020Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth 21 2007 Phylogenetic algebraic geometry. Zbl 1106.14050Eriksson, Nicholas; Ranestad, Kristian; Sturmfels, Bernd; Sullivant, Seth 21 2005 How to shell a monoid. Zbl 0893.20048Peeva, Irena; Reiner, Victor; Sturmfels, Bernd 21 1998 Bernstein’s theorem in affine space. Zbl 0891.65055Huber, B.; Sturmfels, Bernd 21 1997 The hyperdeterminant and triangulations of the 4-cube. Zbl 1194.52016Huggins, Peter; Sturmfels, Bernd; Yu, Josephine; Yuster, Debbie S. 20 2008 Toric geometry of cuts and splits. Zbl 1180.13040Sturmfels, Bernd; Sullivant, Seth 20 2008 Four counterexamples in combinatorial algebraic geometry. Zbl 1018.14022Sturmfels, Bernd 20 2000 Residues and resultants. Zbl 0933.14033Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd 20 1998 Computing multidimensional residues. Zbl 0882.13020Cattani, E.; Dickenstein, A.; Sturmfels, Bernd 20 1996 Gröbner bases of lattices, corner polyhedra, and integer programming. Zbl 0863.90115Sturmfels, Bernd; Weismantel, Robert; Ziegler, Günter M. 20 1995 Likelihood geometry. Zbl 1328.14004Huh, June; Sturmfels, Bernd 19 2014 Exact solutions in structured low-rank approximation. Zbl 1318.14057Ottaviani, Giorgio; Spaenlehauer, Pierre-Jean; Sturmfels, Bernd 19 2014 Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd 19 2012 Gröbner bases and invariant theory. Zbl 0695.13001Sturmfels, Bernd; White, Neil 19 1989 Simplicial cells in arrangements and mutations of oriented matroids. Zbl 0654.05019Roudneff, Jean-Pierre; Sturmfels, Bernd 19 1988 On the coordinatization of oriented matroids. Zbl 0615.05022Bokowski, Jürgen; Sturmfels, Bernd 19 1986 Solving the likelihood equations. Zbl 1097.13035Hosten, Serkan; Khetan, Amit; Sturmfels, Bernd 18 2005 Tropical geometry of statistical models. Zbl 1135.62302Pachter, Lior; Sturmfels, Bernd 18 2004 Cutting corners. Zbl 0955.52008Onn, Shmuel; Sturmfels, Bernd 18 1999 Introduction to Chow forms. Zbl 0980.15508Dalbec, J.; Sturmfels, B. 18 1995 A Hilbert scheme in computer vision. Zbl 1284.13035Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha 17 2013 Siphons in chemical reaction networks. Zbl 1198.92020Shiu, Anne; Sturmfels, Bernd 17 2010 Convex rank tests and semigraphoids. Zbl 1198.62038Morton, Jason; Pachter, Lior; Shiu, Anne; Sturmfels, Bernd; Wienand, Oliver 17 2009 The Schläfli Fan. Zbl 07242482Joswig, Michael; Panizzut, Marta; Sturmfels, Bernd 3 2020 Varieties of signature tensors. Zbl 1411.14068Améndola, Carlos; Friz, Peter; Sturmfels, Bernd 5 2019 The geometry of gaussoids. Zbl 1453.13076Boege, Tobias; D’Alì, Alessio; Kahle, Thomas; Sturmfels, Bernd 3 2019 Learning paths from signature tensors. Zbl 07047353Pfeffer, Max; Seigal, Anna; Sturmfels, Bernd 3 2019 Sixty-four curves of degree six. Zbl 1440.14270Kaihnsa, Nidhi; Kummer, Mario; Plaumann, Daniel; Namin, Mahsa Sayyary; Sturmfels, Bernd 1 2019 Schottky algorithms: classical meets tropical. Zbl 07066492Chua, Lynn; Kummer, Mario; Sturmfels, Bernd 1 2019 Geometry of log-concave density estimation. Zbl 1416.62202Robeva, Elina; Sturmfels, Bernd; Uhler, Caroline 1 2019 Learning algebraic varieties from samples. Zbl 06946762Breiding, Paul; Kališnik, Sara; Sturmfels, Bernd; Weinstein, Madeleine 7 2018 Algebraic identifiability of Gaussian mixtures. Zbl 1423.14284Améndola, Carlos; Ranestad, Kristian; Sturmfels, Bernd 5 2018 Nearest points on toric varieties. Zbl 1393.14049Helmer, Martin; Sturmfels, Bernd 5 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 The Hurwitz form of a projective variety. Zbl 1359.14043Sturmfels, Bernd 13 2017 Real rank geometry of ternary forms. Zbl 1390.14179Michałek, Mateusz; Moon, Hyunsuk; Sturmfels, Bernd; Ventura, Emanuele 12 2017 Convexity in tree spaces. Zbl 1370.05040Lin, Bo; Sturmfels, Bernd; Tang, Xiaoxian; Yoshida, Ruriko 7 2017 Eigenconfigurations of tensors. Zbl 1360.15011Abo, Hirotachi; Seigal, Anna; Sturmfels, Bernd 7 2017 Real rank two geometry. Zbl 1401.14229Seigal, Anna; Sturmfels, Bernd 5 2017 Congruences and concurrent lines in multi-view geometry. Zbl 1367.14022Ponce, Jean; Sturmfels, Bernd; Trager, Mathew 4 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 1387.14014Smith, Gregory G. (ed.); Sturmfels, Bernd (ed.) 1 2017 The Euclidean distance degree of an algebraic variety. Zbl 1370.51020Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R. 51 2016 Algebraic systems biology: a case study for the Wnt pathway. Zbl 1356.92038Gross, Elizabeth; Harrington, Heather A.; Rosen, Zvi; Sturmfels, Bernd 15 2016 Exponential varieties. Zbl 1345.14048Michałek, Mateusz; Sturmfels, Bernd; Uhler, Caroline; Zwiernik, Piotr 10 2016 Duality of multiple root loci. Zbl 1346.14126Lee, Hwangrae; Sturmfels, Bernd 8 2016 Tropicalization of del Pezzo surfaces. Zbl 1375.14218Ren, Qingchun; Shaw, Kristin; Sturmfels, Bernd 6 2016 Moment varieties of Gaussian mixtures. Zbl 1361.13017Améndola, Carlos; Faugère, Jean-Charles; Sturmfels, Bernd 5 2016 Decomposing tensors into frames. Zbl 1331.15019Oeding, Luke; Robeva, Elina; Sturmfels, Bernd 5 2016 Tensors and their eigenvectors. Zbl 1352.15030Sturmfels, Bernd 4 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 06585018Bürgisser, Peter; Kohn, Kathlén; Lairez, Pierre; Sturmfels, Bernd 2 2016 Rigid multiview varieties. Zbl 1360.13063Joswig, Michael; Kileel, Joe; Sturmfels, Bernd; Wagner, André 1 2016 Maximum likelihood estimates for Gaussian mixtures are transcendental. Zbl 06585057Améndola, Carlos; Drton, Mathias; Sturmfels, Bernd 1 2016 Introduction to tropical geometry. Zbl 1321.14048Maclagan, Diane; Sturmfels, Bernd 224 2015 Fixed points of the EM algorithm and nonnegative rank boundaries. Zbl 1308.62035Kubjas, Kaie; Robeva, Elina; Sturmfels, Bernd 11 2015 A family of quasisymmetry models. Zbl 1344.05155Kateri, Maria; Mohammadi, Fatemeh; Sturmfels, Bernd 10 2015 Quartic spectrahedra. Zbl 1328.14091Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd; Vinzant, Cynthia 10 2015 Tensors of nonnegative rank two. Zbl 1312.15033Allman, Elizabeth S.; Rhodes, John A.; Sturmfels, Bernd; Zwiernik, Piotr 10 2015 Moduli of tropical plane curves. Zbl 1349.14043Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd 9 2015 Generic spectrahedral shadows. Zbl 1346.14132Sinn, Rainer; Sturmfels, Bernd 8 2015 Cayley-Bacharach formulas. Zbl 1346.14083Ren, Qingchun; Richter-Gebert, Jürgen; Sturmfels, Bernd 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 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 2 2015 Likelihood geometry. Zbl 1328.14004Huh, June; Sturmfels, Bernd 19 2014 Exact solutions in structured low-rank approximation. Zbl 1318.14057Ottaviani, Giorgio; Spaenlehauer, Pierre-Jean; Sturmfels, Bernd 19 2014 Maximum likelihood for matrices with rank constraints. Zbl 1345.62043Hauenstein, Jonathan; Rodriguez, Jose Israel; Sturmfels, Bernd 11 2014 Tropicalization of classical moduli spaces. Zbl 1305.14031Ren, Qingchun; Sam, Steven V.; Sturmfels, Bernd 7 2014 Hypersurfaces and their singularities in partial correlation testing. Zbl 1308.62110Lin, Shaowei; Uhler, Caroline; Sturmfels, Bernd; Bühlmann, Peter 4 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 70 2013 A Hilbert scheme in computer vision. Zbl 1284.13035Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha 17 2013 The entropic discriminant. Zbl 1284.15006Sanyal, Raman; Sturmfels, Bernd; Vinzant, Cynthia 13 2013 Mixed discriminants. Zbl 1273.13051Cattani, Eduardo; Cueto, María Angélica; Dickenstein, Alicia; Di Rocco, Sandra; Sturmfels, Bernd 12 2013 Binary cumulant varieties. Zbl 1274.13048Sturmfels, Bernd; Zwiernik, Piotr 11 2013 Monomials, binomials and Riemann-Roch. Zbl 1272.13017Manjunath, Madhusudan; Sturmfels, Bernd 10 2013 Elliptic curves in honeycomb form. Zbl 1312.14142Chan, Melody; Sturmfels, Bernd 8 2013 The universal Kummer threefold. Zbl 1312.14103Ren, Qingchun; Sam, Steven V.; Schrader, Gus; Sturmfels, Bernd 8 2013 Dualities. Zbl 1360.90195Rostalski, Philipp; Sturmfels, Bernd 6 2013 Combinatorial types of tropical eigenvectors. Zbl 1269.15009Sturmfels, Bernd; Tran, Ngoc Mai 6 2013 Matrices with eigenvectors in a given subspace. Zbl 1272.15010Ottaviani, Giorgio; Sturmfels, Bernd 4 2013 Toric cubes. Zbl 1315.52011Engström, Alexander; Hersh, Patricia; Sturmfels, Bernd 3 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 25 2012 Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd 19 2012 The central curve in linear programming. Zbl 1254.90108De Loera, Jesús A.; Sturmfels, Bernd; Vinzant, Cynthia 13 2012 On the convex hull of a space curve. Zbl 1245.14033Ranestad, Kristian; Sturmfels, Bernd 11 2012 Commutative algebra of statistical ranking. Zbl 1316.13042Sturmfels, Bernd; Welker, Volkmar 10 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 1 2012 Quartic curves and their bitangents. Zbl 1214.14049Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia 28 2011 Orbitopes. Zbl 1315.52001Sanyal, Raman; Sottile, Frank; Sturmfels, Bernd 24 2011 The convex hull of a variety. Zbl 1253.14055Ranestad, Kristian; Sturmfels, Bernd 14 2011 Mustafin varieties. Zbl 1248.14013Cartwright, Dustin; Häbich, Mathias; Sturmfels, Bernd; Werner, Annette 3 2011 Tropical quadrics through three points. Zbl 1218.14057Brodsky, Sarah B.; Sturmfels, Bernd 3 2011 Sagbi bases of Cox-Nagata rings. Zbl 1202.14053Sturmfels, Bernd; Xu, Zhiqiang 37 2010 The algebraic degree of semidefinite programming. Zbl 1184.90119Nie, Jiawang; Ranestad, Kristian; Sturmfels, Bernd 35 2010 Siphons in chemical reaction networks. Zbl 1198.92020Shiu, Anne; Sturmfels, Bernd 17 2010 Geometry of the restricted Boltzmann machine. Zbl 05777868Cueto, Maria Angélica; Morton, Jason; Sturmfels, Bernd 14 2010 Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry. Zbl 1440.62255Sturmfels, Bernd; Uhler, Caroline 13 2010 Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties. Zbl 1237.14025Sturmfels, Bernd; Velasco, Mauricio 11 2010 Dualities in convex algebraic geometry. Zbl 1234.90012Rostalski, Philipp; Sturmfels, Bernd 10 2010 The Hilbert scheme of the diagonal in a product of projective spaces. Zbl 1213.14010Cartwright, Dustin; Sturmfels, Bernd 7 2010 Commuting birth-and-death processes. Zbl 1200.60072Evans, Steven N.; Sturmfels, Bernd; Uhler, Caroline 3 2010 Lectures on algebraic statistics. Zbl 1166.13001Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth 95 2009 Toric dynamical systems. Zbl 1188.37082Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd 66 2009 Tropical mathematics. Zbl 1227.14051Speyer, David; Sturmfels, Bernd 45 2009 How to draw tropical planes. Zbl 1195.14080Herrmann, Sven; Jensen, Anders; Joswig, Michael; Sturmfels, Bernd 25 2009 Convex rank tests and semigraphoids. Zbl 1198.62038Morton, Jason; Pachter, Lior; Shiu, Anne; Sturmfels, Bernd; Wienand, Oliver 17 2009 Polynomial relations among principal minors of a \(4\times 4\)-matrix. Zbl 1198.14049Lin, Shaowei; Sturmfels, Bernd 10 2009 Open problems in algebraic statistics. Zbl 1158.13300Sturmfels, Bernd 8 2009 Computer algebra in systems biology. Zbl 1229.13027Laubenbacher, Reinhard; Sturmfels, Bernd 7 2009 Marginal likelihood integrals for mixtures of independence models. Zbl 1235.62009Lin, Shaowei; Sturmfels, Bernd; Xu, Zhiqiang 2 2009 Matrix cubes parameterized by eigenvalues. Zbl 1190.14060Nie, Jiawang; Sturmfels, Bernd 2 2009 Normal toric ideals of low codimension. Zbl 1165.13012Dueck, Pierre; Hoşten, Serkan; Sturmfels, Bernd 2 2009 Algorithms in invariant theory. 2nd ed. Zbl 1154.13003Sturmfels, Bernd 56 2008 Elimination theory for tropical varieties. Zbl 1157.14038Sturmfels, Bernd; Tevelev, Jenia 34 2008 The hyperdeterminant and triangulations of the 4-cube. Zbl 1194.52016Huggins, Peter; Sturmfels, Bernd; Yu, Josephine; Yuster, Debbie S. 20 2008 Toric geometry of cuts and splits. Zbl 1180.13040Sturmfels, Bernd; Sullivant, Seth 20 2008 Tropical implicitization and mixed fiber polytopes. Zbl 1143.14313Sturmfels, Bernd; Yu, Josephine 10 2008 Semidefinite representation of the \(k\)-ellipse. Zbl 1171.90498Nie, Jiawang; Parrilo, Pablo A.; Sturmfels, Bernd 10 2008 Three counter-examples on semi-graphoids. Zbl 1211.62197Hemmecke, Raymond; Morton, Jason; Shiu, Anne; Sturmfels, Bernd; Wienand, Oliver 7 2008 ...and 164 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,276 Authors 128 Sturmfels, Bernd 41 Hibi, Takayuki 29 Dickenstein, Alicia M. 29 Sullivant, Seth 28 Gaubert, Stéphane 28 Ohsugi, Hidefumi 27 Sottile, Frank 27 Takemura, Akimichi 26 Bokowski, Jürgen G. 26 Joswig, Michael 25 De Loera, Jesús A. 25 Nie, Jiawang 25 Onn, Shmuel 24 Michałek, Mateusz 23 Villarreal, Rafael Heraclio 22 Shitov, Yaroslav Nikolaevich 21 Herzog, Jürgen 20 Conca, Aldo 20 Hauenstein, Jonathan D. 20 Matusevich, Laura Felicia 20 Takayama, Nobuki 20 Thomas, Rekha R. 19 Grigor’ev, Dmitriĭ Yur’evich 19 Kahle, Thomas 19 Qi, Liqun 18 Mohammadi, Fatemeh 18 Santos, Francisco 18 Thoma, Apostolos 17 Markwig, Hannah 17 Yoshida, Ruriko 17 Ziegler, Günter Matthias 16 Draisma, Jan 16 Drton, Mathias 16 Emiris, Ioannis Z. 16 Hemmecke, Raymond 16 Izhakian, Zur 16 Miller, Ezra 16 Mourrain, Bernard 16 Ottaviani, Giorgio Maria 16 Petrović, Sonja 16 Walther, Uli 15 D’Andrea, Carlos 15 Manon, Christopher 15 Richter-Gebert, Jürgen 15 Sanyal, Raman 15 Varbaro, Matteo 15 Verschelde, Jan 15 Welker, Volkmar 15 Yu, Josephine 14 Aoki, Satoshi 14 Craciun, Gheorghe 14 Hoşten, Serkan 14 Padrol, Arnau 14 Parrilo, Pablo A. 14 Vinzant, Cynthia 13 Katthän, Lukas 13 Morales, Marcel 13 Ojeda Martínez de Castilla, Ignacio 13 Ramírez Alfonsín, Jorge Luis 13 Römer, Tim 12 Ardila Mantilla, Federico 12 Bruns, Winfried 12 Diaconis, Persi Warren 12 Gross, Elizabeth 12 Hà, Huy Tài 12 Jensen, Anders Nedergaard 12 Pilaud, Vincent 12 Proudfoot, Nicholas J. 12 Reiner, Victor 11 Allamigeon, Xavier 11 Castro-Jiménez, Francisco Jesús 11 Chipalkatti, Jaydeep V. 11 Jeronimo, Gabriela 11 Johnston, Matthew D. 11 Maclagan, Diane 11 Nakazato, Hiroshi 11 O’Neill, Christopher 11 Rowen, Louis Halle 11 Safey El Din, Mohab 11 Sergeev, Sergeĭ Mikhaĭlovich 11 Sommese, Andrew John 11 Theobald, Thorsten 11 Uhler, Caroline 11 Van Tuyl, Adam 11 Weismantel, Robert 10 Chien, Mao-Ting 10 Delucchi, Emanuele 10 Esterov, Alexander I. 10 Fink, Alex 10 Fløystad, Gunnar 10 García Sánchez, Pedro A. 10 Gatermann, Karin 10 Leykin, Anton 10 Nagel, Uwe 10 Oeding, Luke 10 Rapallo, Fabio 10 Rauh, Johannes 10 Rodriguez, Jose Israel 10 Seiler, Werner M. 10 Shiu, Anne ...and 4,176 more Authors all top 5 Cited in 487 Serials 263 Journal of Symbolic Computation 218 Journal of Algebra 148 Journal of Pure and Applied Algebra 146 Discrete & Computational Geometry 141 Linear Algebra and its Applications 132 Advances in Mathematics 109 Journal of Combinatorial Theory. Series A 106 European Journal of Combinatorics 89 Journal of Algebraic Combinatorics 87 Proceedings of the American Mathematical Society 86 Communications in Algebra 82 Advances in Applied Mathematics 76 Transactions of the American Mathematical Society 59 Discrete Mathematics 50 Mathematical Programming. Series A. Series B 43 SIAM Journal on Applied Algebra and Geometry 40 Bulletin of Mathematical Biology 39 Mathematische Zeitschrift 37 Journal of Commutative Algebra 36 Discrete Applied Mathematics 35 Theoretical Computer Science 33 Mathematics of Computation 33 Journal of Algebra and its Applications 30 Experimental Mathematics 30 Annals of Combinatorics 29 Israel Journal of Mathematics 28 Journal of High Energy Physics 27 Collectanea Mathematica 26 Mathematische Annalen 26 Foundations of Computational Mathematics 25 SIAM Journal on Discrete Mathematics 24 Duke Mathematical Journal 23 SIAM Journal on Optimization 22 Linear and Multilinear Algebra 22 International Journal of Algebra and Computation 22 Séminaire Lotharingien de Combinatoire 21 Annales de l’Institut Fourier 21 Michigan Mathematical Journal 20 Manuscripta Mathematica 20 Journal of the American Mathematical Society 20 Transformation Groups 19 Journal of Mathematical Biology 19 Beiträge zur Algebra und Geometrie 19 Annals of the Institute of Statistical Mathematics 19 The Annals of Statistics 19 Computational Geometry 18 Journal of Combinatorial Theory. 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New Series 11 Computational Optimization and Applications 10 Rocky Mountain Journal of Mathematics 10 Journal of Computational and Applied Mathematics 10 Mathematika 10 Acta Applicandae Mathematicae 10 Order 10 International Journal of Mathematics 10 Journal of Theoretical Biology 9 Journal of Statistical Planning and Inference 9 Topology and its Applications 9 Computer Aided Geometric Design 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Discrete Optimization 9 Electronic Journal of Statistics 8 Communications in Mathematical Physics 8 Mathematical Biosciences 8 European Journal of Operational Research 8 Finite Fields and their Applications 8 Annals of Mathematics. Second Series 8 SIAM Journal on Applied Dynamical Systems 8 Arnold Mathematical Journal 7 Journal of Mathematical Analysis and Applications ...and 387 more Serials all top 5 Cited in 60 Fields 1,519 Algebraic geometry (14-XX) 1,256 Commutative algebra (13-XX) 955 Combinatorics (05-XX) 810 Convex and discrete geometry (52-XX) 454 Computer science (68-XX) 401 Linear and multilinear algebra; matrix theory (15-XX) 326 Operations research, mathematical programming (90-XX) 312 Numerical analysis (65-XX) 263 Statistics (62-XX) 222 Group theory and generalizations (20-XX) 200 Associative rings and algebras (16-XX) 198 Biology and other natural sciences (92-XX) 154 Number theory (11-XX) 143 Field theory and polynomials (12-XX) 138 Several complex variables and analytic spaces (32-XX) 134 Order, lattices, ordered algebraic structures (06-XX) 127 Probability theory and stochastic processes (60-XX) 114 Geometry (51-XX) 102 Dynamical systems and ergodic theory (37-XX) 92 Quantum theory (81-XX) 83 Ordinary differential equations (34-XX) 80 Manifolds and cell complexes (57-XX) 76 Special functions (33-XX) 73 Algebraic topology (55-XX) 69 Differential geometry (53-XX) 61 Information and communication theory, circuits (94-XX) 60 Nonassociative rings and algebras (17-XX) 57 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Systems theory; control (93-XX) 44 Partial differential equations (35-XX) 38 Functions of a complex variable (30-XX) 38 Operator theory (47-XX) 35 Real functions (26-XX) 33 Statistical mechanics, structure of matter (82-XX) 30 Topological groups, Lie groups (22-XX) 26 Mechanics of particles and systems (70-XX) 25 Mathematical logic and foundations (03-XX) 25 Category theory; homological algebra (18-XX) 22 Approximations and expansions (41-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 General topology (54-XX) 18 Classical thermodynamics, heat transfer (80-XX) 16 \(K\)-theory (19-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 General and overarching topics; collections (00-XX) 13 General algebraic systems (08-XX) 13 Functional analysis (46-XX) 13 Relativity and gravitational theory (83-XX) 11 Difference and functional equations (39-XX) 10 Integral transforms, operational calculus (44-XX) 9 History and biography (01-XX) 7 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 4 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Mathematics education (97-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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