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Sturmfels, Bernd

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Author ID: sturmfels.bernd Recent zbMATH articles by "Sturmfels, Bernd"
Published as: Sturmfels, Bernd; Sturmfels, B.
Homepage: http://math.berkeley.edu/~bernd/
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 299 Publications since 1986, including 24 Books
Biographic References: 2 Publications
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Co-Authors

39 single-authored
12 Pachter, Lior
8 Dickenstein, Alicia M.
8 Ranestad, Kristian
8 Thomas, Rekha R.
8 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 Robeva, Elina
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 Çelik, Türkü Özlüm
3 Diaconis, Persi Warren
3 Eriksson, Nicholas
3 Gritzmann, Peter
3 Huber, Birkett
3 Huggins, Peter
3 Kapranov, Mikhail M.
3 Kleinschmidt, Peter
3 Kohn, Kathlén
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 Speyer, David E.
3 Stillman, Michael Eugene
2 Agostini, Daniele
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 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 Tran, Ngoc Mai
2 Tsukerman, Emmanuel
2 Wienand, Oliver
2 Williams, Lauren K.
...and 131 more Co-Authors
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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 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
2 Algebraic Statistics
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 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 Vietnam Journal of Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Annals of Combinatorics
...and 25 more Serials
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Fields

158 Algebraic geometry (14-XX)
118 Commutative algebra (13-XX)
77 Convex and discrete geometry (52-XX)
64 Combinatorics (05-XX)
59 Computer science (68-XX)
41 Statistics (62-XX)
32 Operations research, mathematical programming (90-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
23 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)
7 Associative rings and algebras (16-XX)
7 Group theory and generalizations (20-XX)
6 Dynamical systems and ergodic theory (37-XX)
4 Algebraic topology (55-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Nonassociative rings and algebras (17-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 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 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

262 Publications have been cited 6,876 times in 4,173 Documents Cited by Year
Gröbner bases and convex polytopes. Zbl 0856.13020
Sturmfels, Bernd
390
1996
Combinatorial commutative algebra. Zbl 1090.13001
Miller, Ezra; Sturmfels, Bernd
332
2005
Introduction to tropical geometry. Zbl 1321.14048
Maclagan, Diane; Sturmfels, Bernd
241
2015
Solving systems of polynomial equations. Zbl 1101.13040
Sturmfels, Bernd
189
2002
Algebraic algorithms for sampling from conditional distributions. Zbl 0952.62088
Diaconis, Persi; Sturmfels, Bernd
173
1998
Binomial ideals. Zbl 0873.13021
Eisenbud, David; Sturmfels, Bernd
162
1996
The tropical Grassmannian. Zbl 1065.14071
Speyer, David; Sturmfels, Bernd
153
2004
Algorithms in invariant theory. Zbl 0802.13002
Sturmfels, Bernd
141
1993
Oriented matroids. 2nd ed. Zbl 0944.52006
Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter
136
1999
First steps in tropical geometry. Zbl 1093.14080
Richter-Gebert, Jürgen; Sturmfels, Bernd; Theobald, Thorsten
135
2005
Algebraic statistics for computational biology. Zbl 1108.62118
Pachter, Lior (ed.); Sturmfels, Bernd (ed.)
119
2005
Tropical convexity. Zbl 1054.52004
Develin, Mike; Sturmfels, Bernd
112
2004
Oriented matroids. Zbl 0773.52001
Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M.
112
1993
Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
105
2000
Lectures on algebraic statistics. Zbl 1166.13001
Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth
92
2009
A polyhedral method for solving sparse polynomial systems. Zbl 0849.65030
Huber, Birkett; Sturmfels, Bernd
84
1995
Minimizing polynomial functions. Zbl 1099.13516
Parrilo, Pablo A.; Sturmfels, Bernd
83
2003
The number of eigenvalues of a tensor. Zbl 1277.15007
Cartwright, Dustin; Sturmfels, Bernd
76
2013
Matroid polytopes, nested sets and Bergman fans. Zbl 1092.52006
Feichtner, Eva Maria; Sturmfels, Bernd
74
2005
Cellular resolutions of monomial modules. Zbl 0909.13011
Bayer, Dave; Sturmfels, Bernd
73
1998
Monomial resolutions. Zbl 0909.13010
Bayer, Dave; Peeva, Irena; Sturmfels, Bernd
72
1998
Toric dynamical systems. Zbl 1188.37082
Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd
70
2009
Fiber polytopes. Zbl 0762.52003
Billera, Louis J.; Sturmfels, Bernd
69
1992
Combinatorial commutative algebra. Zbl 1066.13001
Miller, Ezra; Sturmfels, Bernd
68
2005
On the Newton polytope of the resultant. Zbl 0798.05074
Sturmfels, Bernd
66
1994
On the rank of a tropical matrix. Zbl 1095.15001
Develin, Mike; Santos, Francisco; Sturmfels, Bernd
65
2005
Computing tropical varieties. Zbl 1121.14051
Bogart, T.; Jensen, A. N.; Speyer, D.; Sturmfels, B.; Thomas, R. R.
65
2007
Intersection theory on toric varieties. Zbl 0885.14025
Fulton, William; Sturmfels, Bernd
62
1997
Minimizing polynomials via sum of squares over the gradient ideal. Zbl 1134.90032
Nie, Jiawang; Demmel, James; Sturmfels, Bernd
61
2006
On the toric algebra of graphical models. Zbl 1104.60007
Geiger, Dan; Meek, Christopher; Sturmfels, Bernd
59
2006
Constructions and complexity of secondary polytopes. Zbl 0714.52004
Billera, Louis J.; Filliman, Paul; Sturmfels, Bernd
58
1990
Algorithms in invariant theory. 2nd ed. Zbl 1154.13003
Sturmfels, Bernd
57
2008
The Euclidean distance degree of an algebraic variety. Zbl 1370.51020
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R.
55
2016
Computational synthetic geometry. Zbl 0683.05015
Bokowski, Jürgen; Sturmfels, Bernd
54
1989
Tropical discriminants. Zbl 1166.14033
Dickenstein, Alicia; Feichtner, Eva Maria; Sturmfels, Bernd
51
2007
Toric ideals of phylogenetic invariants. Zbl 1391.13058
Sturmfels, Bernd; Sullivant, Seth
49
2005
Algebraic geometry of Bayesian networks. Zbl 1126.68102
Garcia, Luis David; Stillman, Michael; Sturmfels, Bernd
47
2005
Tropical mathematics. Zbl 1227.14051
Speyer, David; Sturmfels, Bernd
45
2009
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
45
1992
Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases. Zbl 0798.68157
Gritzmann, Peter; Sturmfels, Bernd
44
1993
Multigraded Hilbert schemes. Zbl 1072.14007
Haiman, Mark; Sturmfels, Bernd
44
2004
Syzygies of codimension 2 lattice ideals. Zbl 0918.13006
Peeva, Irena; Sturmfels, Bernd
43
1998
Intersection theory on spherical varieties. Zbl 0819.14019
Fulton, William; MacPherson, Robert; Sottile, F.; Sturmfels, Bernd
41
1995
The algebraic degree of semidefinite programming. Zbl 1184.90119
Nie, Jiawang; Ranestad, Kristian; Sturmfels, Bernd
39
2010
Gröbner bases of toric varieties. Zbl 0714.14034
Sturmfels, Bernd
39
1991
Product formulas for resultants and Chow forms. Zbl 0792.13006
Pedersen, Paul; Sturmfels, Bernd
38
1993
Sagbi bases of Cox-Nagata rings. Zbl 1202.14053
Sturmfels, Bernd; Xu, Zhiqiang
37
2010
Gröbner bases and Stanley decompositions of determinantal ideals. Zbl 0685.13005
Sturmfels, Bernd
36
1990
Elimination theory for tropical varieties. Zbl 1157.14038
Sturmfels, Bernd; Tevelev, Jenia
35
2008
Generic lattice ideals. Zbl 0905.13005
Peeva, Irena; Sturmfels, Bernd
33
1998
Toric hyperkähler varieties. Zbl 1029.53054
Hausel, Tamás; Sturmfels, Bernd
33
2002
Bounds on degrees of projective schemes. Zbl 0828.14040
Sturmfels, Bernd; Ngô Viêt Trung; Vogel, Wolfgang
31
1995
Sparse elimination theory. Zbl 0837.13011
Sturmfels, Bernd
30
1993
On vector partition functions. Zbl 0837.11055
Sturmfels, Bernd
30
1995
Quartic curves and their bitangents. Zbl 1214.14049
Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia
30
2011
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
29
1993
Combinatorial secant varieties. Zbl 1107.14045
Sturmfels, Bernd; Sullivant, Seth
29
2006
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
29
1991
Syzygies of oriented matroids. Zbl 1022.13002
Novik, Isabella; Postnikov, Alexander; Sturmfels, Bernd
28
2002
How to draw tropical planes. Zbl 1195.14080
Herrmann, Sven; Jensen, Anders; Joswig, Michael; Sturmfels, Bernd
28
2009
Affine buildings and tropical convexity. Zbl 1133.52003
Joswig, Michael; Sturmfels, Bernd; Yu, Josephine
27
2007
Equations defining toric varieties. Zbl 0914.14022
Sturmfels, Bernd
27
1997
Generic and cogeneric monomial ideals. Zbl 0955.13008
Miller, Ezra; Sturmfels, Bernd; Yanagawa, Kohji
27
2000
Higher Lawrence configurations. Zbl 1036.52018
Santos, Francisco; Sturmfels, Bernd
27
2003
The maximum likelihood degree. Zbl 1123.13019
Catanese, Fabrizio; Hoşten, Serkan; Khetan, Amit; Sturmfels, Bernd
27
2006
Computing combinatorial decompositions of rings. Zbl 0739.68051
Sturmfels, Bernd; White, Neil
27
1991
Algorithms for the Quillen-Suslin theorem. Zbl 0747.13020
Logar, Alessandro; Sturmfels, Bernd
27
1992
Variation of cost functions in integer programming. Zbl 0888.90125
Sturmfels, Bernd; Thomas, Rekha R.
26
1997
Polynomial equations and convex polytopes. Zbl 0988.52021
Sturmfels, Bernd
26
1998
Computing linear matrix representations of Helton-Vinnikov curves. Zbl 1328.14093
Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia
25
2012
Computing Hopf bifurcations. I. Zbl 0948.37037
Guckenheimer, John; Myers, Mark; Sturmfels, Bernd
24
1997
Cellular strings on polytopes. Zbl 0812.52007
Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd
24
1994
Orbitopes. Zbl 1315.52001
Sanyal, Raman; Sottile, Frank; Sturmfels, Bernd
24
2011
Lattice walks and primary decomposition. Zbl 0962.05010
Diaconis, Persi; Eisenbud, David; Sturmfels, Bernd
23
1998
Algebraic factor analysis: tetrads, pentads and beyond. Zbl 1111.13020
Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth
23
2007
Initial complexes of prime ideals. Zbl 0877.13025
Kalkbrener, Michael; Sturmfels, Bernd
22
1995
Extension spaces of oriented matroids. Zbl 0783.52009
Sturmfels, Bernd; Ziegler, Günter M.
22
1993
Hyperdeterminantal relations among symmetric principal minors. Zbl 1130.15005
Holtz, Olga; Sturmfels, Bernd
22
2007
How to shell a monoid. Zbl 0893.20048
Peeva, Irena; Reiner, Victor; Sturmfels, Bernd
21
1998
Toric geometry of cuts and splits. Zbl 1180.13040
Sturmfels, Bernd; Sullivant, Seth
21
2008
The hyperdeterminant and triangulations of the 4-cube. Zbl 1194.52016
Huggins, Peter; Sturmfels, Bernd; Yu, Josephine; Yuster, Debbie S.
21
2008
Four counterexamples in combinatorial algebraic geometry. Zbl 1018.14022
Sturmfels, Bernd
21
2000
Phylogenetic algebraic geometry. Zbl 1106.14050
Eriksson, Nicholas; Ranestad, Kristian; Sturmfels, Bernd; Sullivant, Seth
21
2005
Exact solutions in structured low-rank approximation. Zbl 1318.14057
Ottaviani, Giorgio; Spaenlehauer, Pierre-Jean; Sturmfels, Bernd
20
2014
Residues and resultants. Zbl 0933.14033
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd
20
1998
Gröbner bases of lattices, corner polyhedra, and integer programming. Zbl 0863.90115
Sturmfels, Bernd; Weismantel, Robert; Ziegler, Günter M.
20
1995
Bernstein’s theorem in affine space. Zbl 0891.65055
Huber, B.; Sturmfels, Bernd
20
1997
Computing multidimensional residues. Zbl 0882.13020
Cattani, E.; Dickenstein, A.; Sturmfels, Bernd
20
1996
Tropical geometry of statistical models. Zbl 1135.62302
Pachter, Lior; Sturmfels, Bernd
20
2004
Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043
Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd
20
2012
Simplicial cells in arrangements and mutations of oriented matroids. Zbl 0654.05019
Roudneff, Jean-Pierre; Sturmfels, Bernd
19
1988
Likelihood geometry. Zbl 1328.14004
Huh, June; Sturmfels, Bernd
19
2014
A Hilbert scheme in computer vision. Zbl 1284.13035
Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha
18
2013
Polytopal and nonpolytopal spheres. An algorithmic approach. Zbl 0639.52004
Bokowski, Jürgen; Sturmfels, Bernd
18
1987
Convex rank tests and semigraphoids. Zbl 1198.62038
Morton, Jason; Pachter, Lior; Shiu, Anne; Sturmfels, Bernd; Wienand, Oliver
18
2009
On the coordinatization of oriented matroids. Zbl 0615.05022
Bokowski, Jürgen; Sturmfels, Bernd
18
1986
Gröbner bases and invariant theory. Zbl 0695.13001
Sturmfels, Bernd; White, Neil
18
1989
Siphons in chemical reaction networks. Zbl 1198.92020
Shiu, Anne; Sturmfels, Bernd
18
2010
Cutting corners. Zbl 0955.52008
Onn, Shmuel; Sturmfels, Bernd
18
1999
Solving the likelihood equations. Zbl 1097.13035
Hosten, Serkan; Khetan, Amit; Sturmfels, Bernd
18
2005
Invitation to nonlinear algebra. Zbl 07351371
Michałek, Mateusz; Sturmfels, Bernd
1
2021
The Schläfli Fan. Zbl 07242482
Joswig, Michael; Panizzut, Marta; Sturmfels, Bernd
3
2020
The geometry of SDP-exactness in quadratic optimization. Zbl 1445.90075
Cifuentes, Diego; Harris, Corey; Sturmfels, Bernd
1
2020
Varieties of signature tensors. Zbl 1411.14068
Améndola, Carlos; Friz, Peter; Sturmfels, Bernd
5
2019
The geometry of gaussoids. Zbl 1453.13076
Boege, Tobias; D’Alì, Alessio; Kahle, Thomas; Sturmfels, Bernd
4
2019
Learning paths from signature tensors. Zbl 07047353
Pfeffer, Max; Seigal, Anna; Sturmfels, Bernd
3
2019
Schottky algorithms: classical meets tropical. Zbl 07066492
Chua, Lynn; Kummer, Mario; Sturmfels, Bernd
3
2019
Geometry of log-concave density estimation. Zbl 1416.62202
Robeva, Elina; Sturmfels, Bernd; Uhler, Caroline
1
2019
Sixty-four curves of degree six. Zbl 1440.14270
Kaihnsa, Nidhi; Kummer, Mario; Plaumann, Daniel; Namin, Mahsa Sayyary; Sturmfels, Bernd
1
2019
Algebraic identifiability of Gaussian mixtures. Zbl 1423.14284
Améndola, Carlos; Ranestad, Kristian; Sturmfels, Bernd
9
2018
Learning algebraic varieties from samples. Zbl 06946762
Breiding, Paul; Kališnik, Sara; Sturmfels, Bernd; Weinstein, Madeleine
7
2018
Nearest points on toric varieties. Zbl 1393.14049
Helmer, Martin; Sturmfels, Bernd
6
2018
Distortion varieties. Zbl 1408.14191
Kileel, Joe; Kukelova, Zuzana; Pajdla, Tomas; Sturmfels, Bernd
3
2018
Changing views on curves and surfaces. Zbl 1388.14160
Kohn, Kathlén; Sturmfels, Bernd; Trager, Matthew
2
2018
The Hurwitz form of a projective variety. Zbl 1359.14043
Sturmfels, Bernd
15
2017
Real rank geometry of ternary forms. Zbl 1390.14179
Michałek, Mateusz; Moon, Hyunsuk; Sturmfels, Bernd; Ventura, Emanuele
13
2017
Eigenconfigurations of tensors. Zbl 1360.15011
Abo, Hirotachi; Seigal, Anna; Sturmfels, Bernd
8
2017
Convexity in tree spaces. Zbl 1370.05040
Lin, Bo; Sturmfels, Bernd; Tang, Xiaoxian; Yoshida, Ruriko
7
2017
Real rank two geometry. Zbl 1401.14229
Seigal, Anna; Sturmfels, Bernd
5
2017
Congruences and concurrent lines in multi-view geometry. Zbl 1367.14022
Ponce, Jean; Sturmfels, Bernd; Trager, Mathew
4
2017
How to flatten a soccer ball. Zbl 1406.14042
Kubjas, 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
Smith, Gregory G.; Sturmfels, Bernd
1
2017
The Euclidean distance degree of an algebraic variety. Zbl 1370.51020
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R.
55
2016
Algebraic systems biology: a case study for the Wnt pathway. Zbl 1356.92038
Gross, Elizabeth; Harrington, Heather A.; Rosen, Zvi; Sturmfels, Bernd
15
2016
Exponential varieties. Zbl 1345.14048
Michałek, Mateusz; Sturmfels, Bernd; Uhler, Caroline; Zwiernik, Piotr
10
2016
Duality of multiple root loci. Zbl 1346.14126
Lee, Hwangrae; Sturmfels, Bernd
8
2016
Tropicalization of del Pezzo surfaces. Zbl 1375.14218
Ren, Qingchun; Shaw, Kristin; Sturmfels, Bernd
7
2016
Moment varieties of Gaussian mixtures. Zbl 1361.13017
Améndola, Carlos; Faugère, Jean-Charles; Sturmfels, Bernd
7
2016
Decomposing tensors into frames. Zbl 1331.15019
Oeding, Luke; Robeva, Elina; Sturmfels, Bernd
5
2016
Tensors and their eigenvectors. Zbl 1352.15030
Sturmfels, Bernd
5
2016
Symmetric matrices, Catalan paths, and correlations. Zbl 1344.05042
Sturmfels, Bernd; Tsukerman, Emmanuel; Williams, Lauren
3
2016
Computing the Chow variety of quadratic space curves. Zbl 1460.14132
Bürgisser, Peter; Kohn, Kathlén; Lairez, Pierre; Sturmfels, Bernd
2
2016
Maximum likelihood estimates for Gaussian mixtures are transcendental. Zbl 1460.62081
Améndola, Carlos; Drton, Mathias; Sturmfels, Bernd
1
2016
Introduction to tropical geometry. Zbl 1321.14048
Maclagan, Diane; Sturmfels, Bernd
241
2015
Fixed points of the EM algorithm and nonnegative rank boundaries. Zbl 1308.62035
Kubjas, Kaie; Robeva, Elina; Sturmfels, Bernd
12
2015
A family of quasisymmetry models. Zbl 1344.05155
Kateri, Maria; Mohammadi, Fatemeh; Sturmfels, Bernd
10
2015
Generic spectrahedral shadows. Zbl 1346.14132
Sinn, Rainer; Sturmfels, Bernd
9
2015
Tensors of nonnegative rank two. Zbl 1312.15033
Allman, Elizabeth S.; Rhodes, John A.; Sturmfels, Bernd; Zwiernik, Piotr
9
2015
Moduli of tropical plane curves. Zbl 1349.14043
Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd
9
2015
Quartic spectrahedra. Zbl 1328.14091
Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd; Vinzant, Cynthia
9
2015
Cayley-Bacharach formulas. Zbl 1346.14083
Ren, Qingchun; Richter-Gebert, Jürgen; Sturmfels, Bernd
3
2015
Rational design of antibiotic treatment plans: a treatment strategy for managing evolution and reversing resistance. Zbl 1375.92032
Mira, Portia M.; Crona, Kristina; Greene, Devin; Meza, Juan C.; Sturmfels, Bernd; Barlow, Miriam
2
2015
Correction: “Rational design of antibiotic treatment plans: a treatment strategy for managing evolution and reversing resistance”. Zbl 1376.92025
Mira, Portia M.; Crona, Kristina; Greene, Devin; Meza, Juan C.; Sturmfels, Bernd; Barlow, Miriam
2
2015
Exact solutions in structured low-rank approximation. Zbl 1318.14057
Ottaviani, Giorgio; Spaenlehauer, Pierre-Jean; Sturmfels, Bernd
20
2014
Likelihood geometry. Zbl 1328.14004
Huh, June; Sturmfels, Bernd
19
2014
Maximum likelihood for matrices with rank constraints. Zbl 1345.62043
Hauenstein, Jonathan; Rodriguez, Jose Israel; Sturmfels, Bernd
11
2014
Tropicalization of classical moduli spaces. Zbl 1305.14031
Ren, Qingchun; Sam, Steven V.; Sturmfels, Bernd
9
2014
Hypersurfaces and their singularities in partial correlation testing. Zbl 1308.62110
Lin, Shaowei; Uhler, Caroline; Sturmfels, Bernd; Bühlmann, Peter
4
2014
The Euclidean distance degree. Zbl 1346.68281
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha
2
2014
The number of eigenvalues of a tensor. Zbl 1277.15007
Cartwright, Dustin; Sturmfels, Bernd
76
2013
A Hilbert scheme in computer vision. Zbl 1284.13035
Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha
18
2013
The entropic discriminant. Zbl 1284.15006
Sanyal, Raman; Sturmfels, Bernd; Vinzant, Cynthia
13
2013
Mixed discriminants. Zbl 1273.13051
Cattani, Eduardo; Cueto, María Angélica; Dickenstein, Alicia; Di Rocco, Sandra; Sturmfels, Bernd
12
2013
Binary cumulant varieties. Zbl 1274.13048
Sturmfels, Bernd; Zwiernik, Piotr
11
2013
The universal Kummer threefold. Zbl 1312.14103
Ren, Qingchun; Sam, Steven V.; Schrader, Gus; Sturmfels, Bernd
11
2013
Monomials, binomials and Riemann-Roch. Zbl 1272.13017
Manjunath, Madhusudan; Sturmfels, Bernd
10
2013
Elliptic curves in honeycomb form. Zbl 1312.14142
Chan, Melody; Sturmfels, Bernd
8
2013
Dualities. Zbl 1360.90195
Rostalski, Philipp; Sturmfels, Bernd
7
2013
Combinatorial types of tropical eigenvectors. Zbl 1269.15009
Sturmfels, Bernd; Tran, Ngoc Mai
6
2013
Matrices with eigenvectors in a given subspace. Zbl 1272.15010
Ottaviani, Giorgio; Sturmfels, Bernd
4
2013
Toric cubes. Zbl 1315.52011
Engström, Alexander; Hersh, Patricia; Sturmfels, Bernd
3
2013
Capacity pre-log of noncoherent SIMO channels via Hironaka’s theorem. Zbl 1364.94430
Morgenshtern, 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 1328.14093
Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia
25
2012
Algebraic boundaries of Hilbert’s SOS cones. Zbl 1273.13043
Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian; Sturmfels, Bernd
20
2012
The central curve in linear programming. Zbl 1254.90108
De Loera, Jesús A.; Sturmfels, Bernd; Vinzant, Cynthia
13
2012
Commutative algebra of statistical ranking. Zbl 1316.13042
Sturmfels, Bernd; Welker, Volkmar
10
2012
On the convex hull of a space curve. Zbl 1245.14033
Ranestad, Kristian; Sturmfels, Bernd
10
2012
Graphical models for correlated defaults. Zbl 1270.91092
Filiz, Ismail Onur; Guo, Xin; Morton, Jason; Sturmfels, Bernd
3
2012
Geometry of higher-order Markov chains. Zbl 1347.60103
Sturmfels, Bernd
1
2012
Quartic curves and their bitangents. Zbl 1214.14049
Plaumann, Daniel; Sturmfels, Bernd; Vinzant, Cynthia
30
2011
Orbitopes. Zbl 1315.52001
Sanyal, Raman; Sottile, Frank; Sturmfels, Bernd
24
2011
The convex hull of a variety. Zbl 1253.14055
Ranestad, Kristian; Sturmfels, Bernd
14
2011
Mustafin varieties. Zbl 1248.14013
Cartwright, Dustin; Häbich, Mathias; Sturmfels, Bernd; Werner, Annette
4
2011
Tropical quadrics through three points. Zbl 1218.14057
Brodsky, Sarah B.; Sturmfels, Bernd
2
2011
The algebraic degree of semidefinite programming. Zbl 1184.90119
Nie, Jiawang; Ranestad, Kristian; Sturmfels, Bernd
39
2010
Sagbi bases of Cox-Nagata rings. Zbl 1202.14053
Sturmfels, Bernd; Xu, Zhiqiang
37
2010
Siphons in chemical reaction networks. Zbl 1198.92020
Shiu, Anne; Sturmfels, Bernd
18
2010
Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry. Zbl 1440.62255
Sturmfels, Bernd; Uhler, Caroline
15
2010
Geometry of the restricted Boltzmann machine. Zbl 05777868
Cueto, Maria Angélica; Morton, Jason; Sturmfels, Bernd
14
2010
Blow-ups of \(\mathbb{P}^{n-3}\) at \(n\) points and spinor varieties. Zbl 1237.14025
Sturmfels, Bernd; Velasco, Mauricio
11
2010
Dualities in convex algebraic geometry. Zbl 1234.90012
Rostalski, Philipp; Sturmfels, Bernd
9
2010
The Hilbert scheme of the diagonal in a product of projective spaces. Zbl 1213.14010
Cartwright, Dustin; Sturmfels, Bernd
8
2010
Commuting birth-and-death processes. Zbl 1200.60072
Evans, Steven N.; Sturmfels, Bernd; Uhler, Caroline
3
2010
Lectures on algebraic statistics. Zbl 1166.13001
Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth
92
2009
Toric dynamical systems. Zbl 1188.37082
Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd
70
2009
Tropical mathematics. Zbl 1227.14051
Speyer, David; Sturmfels, Bernd
45
2009
How to draw tropical planes. Zbl 1195.14080
Herrmann, Sven; Jensen, Anders; Joswig, Michael; Sturmfels, Bernd
28
2009
Convex rank tests and semigraphoids. Zbl 1198.62038
Morton, Jason; Pachter, Lior; Shiu, Anne; Sturmfels, Bernd; Wienand, Oliver
18
2009
Polynomial relations among principal minors of a \(4\times 4\)-matrix. Zbl 1198.14049
Lin, Shaowei; Sturmfels, Bernd
10
2009
Open problems in algebraic statistics. Zbl 1158.13300
Sturmfels, Bernd
8
2009
Computer algebra in systems biology. Zbl 1229.13027
Laubenbacher, Reinhard; Sturmfels, Bernd
7
2009
Normal toric ideals of low codimension. Zbl 1165.13012
Dueck, Pierre; Hoşten, Serkan; Sturmfels, Bernd
2
2009
Matrix cubes parameterized by eigenvalues. Zbl 1190.14060
Nie, Jiawang; Sturmfels, Bernd
2
2009
Marginal likelihood integrals for mixtures of independence models. Zbl 1235.62009
Lin, Shaowei; Sturmfels, Bernd; Xu, Zhiqiang
2
2009
Algorithms in invariant theory. 2nd ed. Zbl 1154.13003
Sturmfels, Bernd
57
2008
Elimination theory for tropical varieties. Zbl 1157.14038
Sturmfels, Bernd; Tevelev, Jenia
35
2008
Toric geometry of cuts and splits. Zbl 1180.13040
Sturmfels, Bernd; Sullivant, Seth
21
2008
The hyperdeterminant and triangulations of the 4-cube. Zbl 1194.52016
Huggins, Peter; Sturmfels, Bernd; Yu, Josephine; Yuster, Debbie S.
21
2008
Semidefinite representation of the \(k\)-ellipse. Zbl 1171.90498
Nie, Jiawang; Parrilo, Pablo A.; Sturmfels, Bernd
11
2008
Tropical implicitization and mixed fiber polytopes. Zbl 1143.14313
Sturmfels, Bernd; Yu, Josephine
10
2008
...and 162 more Documents
all top 5

Cited by 4,122 Authors

130 Sturmfels, Bernd
34 Hibi, Takayuki
30 Sullivant, Seth
28 Dickenstein, Alicia M.
28 Gaubert, Stéphane
27 Takemura, Akimichi
26 Joswig, Michael
26 Sottile, Frank
25 Nie, Jiawang
25 Onn, Shmuel
24 De Loera, Jesús A.
24 Michałek, Mateusz
23 Shitov, Yaroslav Nikolaevich
22 Ohsugi, Hidefumi
21 Bokowski, Jürgen G.
21 Villarreal, Rafael Heraclio
20 Grigor’ev, Dmitriĭ Yur’evich
20 Hauenstein, Jonathan D.
20 Matusevich, Laura Felicia
19 Herzog, Jürgen
19 Kahle, Thomas
19 Qi, Liqun
19 Thomas, Rekha R.
18 Markwig, Hannah
18 Takayama, Nobuki
18 Thoma, Apostolos
17 Conca, Aldo
17 Craciun, Gheorghe
17 Draisma, Jan
17 Manon, Christopher
17 Mohammadi, Fatemeh
17 Ottaviani, Giorgio Maria
17 Santos, Francisco
17 Ziegler, Günter Matthias
16 Drton, Mathias
16 Emiris, Ioannis Z.
16 Hemmecke, Raymond
16 Izhakian, Zur
16 Petrović, Sonja
15 D’Andrea, Carlos
15 Mourrain, Bernard
15 Richter-Gebert, Jürgen
15 Varbaro, Matteo
15 Verschelde, Jan
15 Welker, Volkmar
15 Yoshida, Ruriko
15 Yu, Josephine
14 Aoki, Satoshi
14 Padrol, Arnau
14 Römer, Tim
14 Sanyal, Raman
14 Vinzant, Cynthia
13 Gross, Elizabeth
13 Hoşten, Serkan
13 Katthän, Lukas
13 Miller, Ezra
13 Morales, Marcel
13 Ojeda Martínez de Castilla, Ignacio
13 Rodriguez, Jose Israel
13 Safey El Din, Mohab
12 Ardila Mantilla, Federico
12 Diaconis, Persi Warren
12 Parrilo, Pablo A.
12 Pilaud, Vincent
12 Reiner, Victor
12 Walther, Uli
11 Allamigeon, Xavier
11 Bruns, Winfried
11 Hà, Huy Tài
11 Jeronimo, Gabriela
11 Johnston, Matthew D.
11 Maclagan, Diane
11 Nakazato, Hiroshi
11 Rapallo, Fabio
11 Rowen, Louis Halle
11 Seiler, Werner M.
11 Sommese, Andrew John
11 Theobald, Thorsten
11 Weismantel, Robert
10 Chien, Mao-Ting
10 Esterov, Alexander I.
10 Fink, Alex
10 Fløystad, Gunnar
10 Gaiffi, Giovanni
10 García Sánchez, Pedro A.
10 Jensen, Anders Nedergaard
10 Kummer, Mario Denis
10 Nagel, Uwe
10 Oeding, Luke
10 O’Neill, Christopher
10 Proudfoot, Nicholas J.
10 Ramírez Alfonsín, Jorge Luis
10 Rauh, Johannes
10 Shiu, Anne
10 Uhler, Caroline
10 Van Tuyl, Adam
9 Castro-Jiménez, Francisco Jesús
9 Charalambous, Hara
9 Chipalkatti, Jaydeep V.
9 Cueto, María Angélica
...and 4,022 more Authors
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Cited in 497 Serials

244 Journal of Symbolic Computation
205 Journal of Algebra
146 Discrete & Computational Geometry
136 Linear Algebra and its Applications
135 Journal of Pure and Applied Algebra
125 Advances in Mathematics
104 Journal of Combinatorial Theory. Series A
87 Proceedings of the American Mathematical Society
86 Communications in Algebra
84 Journal of Algebraic Combinatorics
77 Advances in Applied Mathematics
76 Transactions of the American Mathematical Society
68 European Journal of Combinatorics
50 Mathematical Programming. Series A. Series B
49 Discrete Mathematics
44 SIAM Journal on Applied Algebra and Geometry
40 Bulletin of Mathematical Biology
40 Mathematische Zeitschrift
35 Journal of Commutative Algebra
33 Mathematics of Computation
33 Journal of Algebra and its Applications
32 Israel Journal of Mathematics
30 Experimental Mathematics
30 Annals of Combinatorics
29 Journal of High Energy Physics
28 Collectanea Mathematica
27 Mathematische Annalen
27 Theoretical Computer Science
27 Foundations of Computational Mathematics
26 SIAM Journal on Discrete Mathematics
25 Discrete Applied Mathematics
24 Duke Mathematical Journal
23 Transformation Groups
22 Linear and Multilinear Algebra
22 Manuscripta Mathematica
22 International Journal of Algebra and Computation
22 SIAM Journal on Optimization
21 Annales de l’Institut Fourier
21 Michigan Mathematical Journal
20 Beiträge zur Algebra und Geometrie
20 Annals of the Institute of Statistical Mathematics
20 Journal of the American Mathematical Society
20 Séminaire Lotharingien de Combinatoire
20 Mathematics in Computer Science
19 Journal of Mathematical Biology
19 The Annals of Statistics
19 Applicable Algebra in Engineering, Communication and Computing
18 Tohoku Mathematical Journal. Second Series
18 SIAM Journal on Matrix Analysis and Applications
18 Selecta Mathematica. New Series
17 Computational Geometry
17 Advances in Geometry
16 Journal of Combinatorial Theory. Series B
16 Journal of Mathematical Sciences (New York)
16 Journal of Mathematical Chemistry
15 Applied Mathematics and Computation
15 Inventiones Mathematicae
15 Journal of Algebraic Geometry
15 The Electronic Journal of Combinatorics
15 Journal of the European Mathematical Society (JEMS)
15 Algebraic Combinatorics
14 Combinatorica
14 Research in the Mathematical Sciences
13 Geometriae Dedicata
13 Bernoulli
12 Journal of Mathematical Physics
12 Journal of Multivariate Analysis
12 Le Matematiche
12 Semigroup Forum
12 Bulletin of the American Mathematical Society. New Series
12 Proceedings of the Steklov Institute of Mathematics
12 Frontiers of Mathematics in China
11 Compositio Mathematica
11 Journal of Optimization Theory and Applications
11 Kybernetika
11 Journal of Complexity
11 International Journal of Mathematics
11 Journal of Global Optimization
11 Computational Optimization and Applications
10 Communications in Mathematical Physics
10 Rocky Mountain Journal of Mathematics
10 Automatica
10 Journal of Computational and Applied Mathematics
10 Mathematika
10 Acta Applicandae Mathematicae
10 Order
10 Electronic Journal of Statistics
10 Journal of Theoretical Biology
9 Journal of Statistical Planning and Inference
9 Computer Aided Geometric Design
9 European Journal of Operational Research
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Nuclear Physics. B
8 Nagoya Mathematical Journal
8 Annals of Mathematics. Second Series
8 SIAM Journal on Applied Dynamical Systems
8 Discrete Optimization
8 Arnold Mathematical Journal
7 Journal of Mathematical Analysis and Applications
7 Journal of Statistical Physics
...and 397 more Serials
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Cited in 60 Fields

1,550 Algebraic geometry (14-XX)
1,223 Commutative algebra (13-XX)
909 Combinatorics (05-XX)
768 Convex and discrete geometry (52-XX)
435 Computer science (68-XX)
410 Linear and multilinear algebra; matrix theory (15-XX)
323 Operations research, mathematical programming (90-XX)
312 Numerical analysis (65-XX)
274 Statistics (62-XX)
216 Group theory and generalizations (20-XX)
199 Biology and other natural sciences (92-XX)
198 Associative rings and algebras (16-XX)
155 Number theory (11-XX)
137 Field theory and polynomials (12-XX)
133 Several complex variables and analytic spaces (32-XX)
129 Probability theory and stochastic processes (60-XX)
126 Order, lattices, ordered algebraic structures (06-XX)
106 Geometry (51-XX)
101 Dynamical systems and ergodic theory (37-XX)
89 Quantum theory (81-XX)
82 Ordinary differential equations (34-XX)
81 Manifolds and cell complexes (57-XX)
74 Special functions (33-XX)
74 Differential geometry (53-XX)
73 Algebraic topology (55-XX)
59 Nonassociative rings and algebras (17-XX)
57 Information and communication theory, circuits (94-XX)
56 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
49 Systems theory; control (93-XX)
45 Partial differential equations (35-XX)
38 Functions of a complex variable (30-XX)
38 Operator theory (47-XX)
36 Statistical mechanics, structure of matter (82-XX)
34 Real functions (26-XX)
28 Topological groups, Lie groups (22-XX)
27 Mechanics of particles and systems (70-XX)
25 Mathematical logic and foundations (03-XX)
25 Category theory; homological algebra (18-XX)
21 Approximations and expansions (41-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
19 General topology (54-XX)
19 Global analysis, analysis on manifolds (58-XX)
19 Classical thermodynamics, heat transfer (80-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
15 \(K\)-theory (19-XX)
13 General algebraic systems (08-XX)
13 Functional analysis (46-XX)
13 Relativity and gravitational theory (83-XX)
12 General and overarching topics; collections (00-XX)
11 Difference and functional equations (39-XX)
11 Integral transforms, operational calculus (44-XX)
9 History and biography (01-XX)
7 Mechanics of deformable solids (74-XX)
6 Fluid mechanics (76-XX)
5 Potential theory (31-XX)
2 Measure and integration (28-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Mathematics education (97-XX)
1 Optics, electromagnetic theory (78-XX)

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