Edit Profile (opens in new tab) Knutson, Allen Co-Author Distance Author ID: knutson.allen Published as: Knutson, Allen; Knutson, A. Further Spellings: Knutson, Allen Ivar Homepage: https://pi.math.cornell.edu/~allenk/ External Links: MGP · Wikidata · Google Scholar · MathOverflow · dblp Videos: carmin.tv Documents Indexed: 63 Publications since 1997, including 17 Additional arXiv Preprints Co-Authors: 32 Co-Authors with 43 Joint Publications 1,062 Co-Co-Authors all top 5 Co-Authors 20 single-authored 7 Zinn-Justin, Paul 5 Miller, Ezra 5 Tao, Terence 4 Goldin, Rebecca F. 4 Hausmann, Jean-Claude 4 Yong, Alexander 3 Lam, Thomas F. 3 Speyer, David E. 2 Lederer, Mathias 2 Sharpe, Eric R. 2 Shimozono, Mark 2 Woodward, Christopher T. 1 Alexeev, Valery A. 1 Baumann, Pierre 1 Beck, Matthias 1 Chen, Beifang 1 Escobar, Laura 1 Fukshansky, Lenny 1 Gaetz, Christian 1 Haase, Christian Alexander 1 Halacheva, Iva 1 Holm, Tara S. 1 Kamnitzer, Joel 1 Kinser, Ryan 1 Purbhoo, Kevin 1 Rajchgot, Jenna Beth 1 Reznick, Bruce 1 Robins, Sinai 1 Rosu, Ioanid 1 Sam, Steven V. 1 Schürmann, Achill 1 Woo, Alexander K. all top 5 Serials 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Pure and Applied Mathematics Quarterly 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 Journal of the American Mathematical Society 2 The Electronic Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire 1 Israel Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Compositio Mathematica 1 Mathematische Zeitschrift 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Notices of the American Mathematical Society 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Mathematical Research Letters 1 Transformation Groups 1 Advances in Theoretical and Mathematical Physics 1 Annals of Mathematics. Second Series all top 5 Fields 45 Algebraic geometry (14-XX) 21 Combinatorics (05-XX) 7 Commutative algebra (13-XX) 7 Group theory and generalizations (20-XX) 7 Differential geometry (53-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 \(K\)-theory (19-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 2 Nonassociative rings and algebras (17-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 1,276 times in 896 Documents Cited by ▼ Year ▼ The honeycomb model of \(\text{GL}_n(\mathbb C)\) tensor products. I: Proof of the saturation conjecture. Zbl 0944.05097 Knutson, Allen; Tao, Terence 202 1999 Gröbner geometry of Schubert polynomials. Zbl 1089.14007 Knutson, Allen; Miller, Ezra 141 2005 The honeycomb model of \(\text{GL}_n({\mathbb C})\) tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone. Zbl 1043.05111 Knutson, Allen; Tao, Terence; Woodward, Christopher 119 2004 Positroid varieties: juggling and geometry. Zbl 1330.14086 Knutson, Allen; Lam, Thomas; Speyer, David E. 106 2013 Puzzles and (equivariant) cohomology of Grassmannians. Zbl 1064.14063 Knutson, Allen; Tao, Terence 93 2003 Subword complexes in Coxeter groups. Zbl 1069.20026 Knutson, Allen; Miller, Ezra 78 2004 The cohomology ring of polygon spaces. Zbl 0903.14019 Hausmann, Jean-Claude; Knutson, Allen 64 1998 Gröbner geometry of vertex decompositions and of flagged tableaux. Zbl 1169.14033 Knutson, Allen; Miller, Ezra; Yong, Alexander 58 2009 Honeycombs and sums of Hermitian matrices. Zbl 1047.15006 Knutson, Allen; Tao, Terence 53 2001 Polygon spaces and Grassmannians. Zbl 0888.58007 Hausmann, Jean-Claude; Knutson, Allen 45 1997 Projections of Richardson varieties. Zbl 1345.14047 Knutson, Allen; Lam, Thomas; Speyer, David E. 40 2014 Four positive formulae for type \(A\) quiver polynomials. Zbl 1107.14046 Knutson, Allen; Miller, Ezra; Shimozono, Mark 29 2006 Equivariant \(K\)-theory and equivariant cohomology. Zbl 1019.19003 Rosu, Ioanid; Knutson, Allen 27 2003 The symplectic and algebraic geometry of Horn’s problem. Zbl 0981.15010 Knutson, Allen 21 2000 A positive proof of the Littlewood-Richardson rule using the octahedron recurrence. Zbl 1053.05119 Knutson, Allen; Tao, Terence; Woodward, Christopher 17 2004 Some schemes related to the commuting variety. Zbl 1074.14044 Knutson, Allen 15 2005 A formula for \(K\)-theory truncation Schubert calculus. Zbl 1072.14071 Knutson, Allen; Yong, Alexander 13 2004 A scheme related to the Brauer loop model. Zbl 1193.14068 Knutson, Allen; Zinn-Justin, Paul 13 2007 The Brauer loop scheme and orbital varieties. Zbl 1326.81094 Knutson, Allen; Zinn-Justin, Paul 13 2014 Schubert patches degenerate to subword complexes. Zbl 1200.14099 Knutson, Allen 10 2008 Singularities of Richardson varieties. Zbl 1298.14053 Knutson, Allen; Woo, Alexander; Yong, Alexander 10 2013 Sheaves on toric varieties for physics. Zbl 0943.14021 Knutson, Allen; Sharpe, Eric 9 1998 Descent-cycling in Schubert calculus. Zbl 1060.14078 Knutson, Allen 9 2001 Orbifold cohomology of torus quotients. Zbl 1159.14029 Goldin, Rebecca; Holm, Tara S.; Knutson, Allen 9 2007 Tableau complexes. Zbl 1145.05055 Knutson, Allen; Miller, Ezra; Yong, Alexander 9 2008 A Littelmann-type formula for Duistermaat-Heckman measures. Zbl 0971.58014 Knutson, Allen 8 1999 The Mirković-Vilonen basis and Duistermaat-Heckman measures. Zbl 1495.22011 Baumann, Pierre; Kamnitzer, Joel; Knutson, Allen 8 2021 Product and puzzle formulae for \(GL_n\) Belkale-Kumar coefficients. Zbl 1232.05239 Knutson, Allen; Purbhoo, Kevin 7 2011 Complete moduli spaces of branchvarieties. Zbl 1191.14001 Alexeev, Valery; Knutson, Allen 7 2010 Schubert polynomials, pipe dreams, equivariant classes, and a co-transition formula. Zbl 1489.14070 Knutson, Allen 5 2022 Problems from the Cottonwood Room. Zbl 1136.00300 Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill 4 2005 A compactly supported formula for equivariant localization and simplicial complexes of Białynicki-Birula decompositions. Zbl 1232.14029 Knutson, Allen 4 2010 The multidegree of the multi-image variety. Zbl 1390.14145 Escobar, Laura; Knutson, Allen 4 2017 Schubert calculus and puzzles. Zbl 1378.14055 Knutson, Allen 3 2016 Schubert structure operators. Zbl 1440.14243 Goldin, Rebecca; Knutson, Allen 3 2019 Balanced normal cones and Fulton-MacPherson’s intersection theory. Zbl 1110.14011 Knutson, Allen 3 2006 Interval positroid varieties and a deformation of the ring of symmetric functions. Zbl 1393.05274 Knutson, Allen; Lederer, Mathias 3 2014 Cohomology rings of symplectic cuts. Zbl 0986.57022 Hausmann, Jean-Claude; Knutson, Allen 2 1999 A limit of toric symplectic forms that has no periodic Hamiltonians. Zbl 0984.53031 Hausmann, J.-C.; Knutson, A. 2 2000 Grassmann-Grassmann conormal varieties, integrability, and plane partitions. (Variétés conormales Grassmann-Grassmann, intégrabilité et partitions planes.) Zbl 1471.14104 Knutson, Allen; Zinn-Justin, Paul 2 2019 Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles. Zbl 1435.14049 Halacheva, Iva; Knutson, Allen; Zinn-Justin, Paul 2 2019 Three combinatorial formulas for type \(A\) quiver polynomials and \(K\)-polynomials. Zbl 1480.16035 Kinser, Ryan; Knutson, Allen; Rajchgot, Jenna 2 2019 Schubert structure operators and \(K^\ast_T (G/B)\). Zbl 1487.14108 Goldin, Rebecca; Knutson, Allen 1 2021 Equivariant sheaves. Zbl 1055.14504 Knutson, Allen; Sharpe, Eric 1 1999 Randomly juggling backwards. Zbl 1396.05047 Knutson, Allen 1 2018 Schubert calculus and quiver varieties. Zbl 1532.14085 Knutson, Allen 1 2023 Schubert calculus and quiver varieties. Zbl 1532.14085 Knutson, Allen 1 2023 Schubert polynomials, pipe dreams, equivariant classes, and a co-transition formula. Zbl 1489.14070 Knutson, Allen 5 2022 The Mirković-Vilonen basis and Duistermaat-Heckman measures. Zbl 1495.22011 Baumann, Pierre; Kamnitzer, Joel; Knutson, Allen 8 2021 Schubert structure operators and \(K^\ast_T (G/B)\). Zbl 1487.14108 Goldin, Rebecca; Knutson, Allen 1 2021 Schubert structure operators. Zbl 1440.14243 Goldin, Rebecca; Knutson, Allen 3 2019 Grassmann-Grassmann conormal varieties, integrability, and plane partitions. (Variétés conormales Grassmann-Grassmann, intégrabilité et partitions planes.) Zbl 1471.14104 Knutson, Allen; Zinn-Justin, Paul 2 2019 Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles. Zbl 1435.14049 Halacheva, Iva; Knutson, Allen; Zinn-Justin, Paul 2 2019 Three combinatorial formulas for type \(A\) quiver polynomials and \(K\)-polynomials. Zbl 1480.16035 Kinser, Ryan; Knutson, Allen; Rajchgot, Jenna 2 2019 Randomly juggling backwards. Zbl 1396.05047 Knutson, Allen 1 2018 The multidegree of the multi-image variety. Zbl 1390.14145 Escobar, Laura; Knutson, Allen 4 2017 Schubert calculus and puzzles. Zbl 1378.14055 Knutson, Allen 3 2016 Projections of Richardson varieties. Zbl 1345.14047 Knutson, Allen; Lam, Thomas; Speyer, David E. 40 2014 The Brauer loop scheme and orbital varieties. Zbl 1326.81094 Knutson, Allen; Zinn-Justin, Paul 13 2014 Interval positroid varieties and a deformation of the ring of symmetric functions. Zbl 1393.05274 Knutson, Allen; Lederer, Mathias 3 2014 Positroid varieties: juggling and geometry. Zbl 1330.14086 Knutson, Allen; Lam, Thomas; Speyer, David E. 106 2013 Singularities of Richardson varieties. Zbl 1298.14053 Knutson, Allen; Woo, Alexander; Yong, Alexander 10 2013 Product and puzzle formulae for \(GL_n\) Belkale-Kumar coefficients. Zbl 1232.05239 Knutson, Allen; Purbhoo, Kevin 7 2011 Complete moduli spaces of branchvarieties. Zbl 1191.14001 Alexeev, Valery; Knutson, Allen 7 2010 A compactly supported formula for equivariant localization and simplicial complexes of Białynicki-Birula decompositions. Zbl 1232.14029 Knutson, Allen 4 2010 Gröbner geometry of vertex decompositions and of flagged tableaux. Zbl 1169.14033 Knutson, Allen; Miller, Ezra; Yong, Alexander 58 2009 Schubert patches degenerate to subword complexes. Zbl 1200.14099 Knutson, Allen 10 2008 Tableau complexes. Zbl 1145.05055 Knutson, Allen; Miller, Ezra; Yong, Alexander 9 2008 A scheme related to the Brauer loop model. Zbl 1193.14068 Knutson, Allen; Zinn-Justin, Paul 13 2007 Orbifold cohomology of torus quotients. Zbl 1159.14029 Goldin, Rebecca; Holm, Tara S.; Knutson, Allen 9 2007 Four positive formulae for type \(A\) quiver polynomials. Zbl 1107.14046 Knutson, Allen; Miller, Ezra; Shimozono, Mark 29 2006 Balanced normal cones and Fulton-MacPherson’s intersection theory. Zbl 1110.14011 Knutson, Allen 3 2006 Gröbner geometry of Schubert polynomials. Zbl 1089.14007 Knutson, Allen; Miller, Ezra 141 2005 Some schemes related to the commuting variety. Zbl 1074.14044 Knutson, Allen 15 2005 Problems from the Cottonwood Room. Zbl 1136.00300 Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill 4 2005 The honeycomb model of \(\text{GL}_n({\mathbb C})\) tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone. Zbl 1043.05111 Knutson, Allen; Tao, Terence; Woodward, Christopher 119 2004 Subword complexes in Coxeter groups. Zbl 1069.20026 Knutson, Allen; Miller, Ezra 78 2004 A positive proof of the Littlewood-Richardson rule using the octahedron recurrence. Zbl 1053.05119 Knutson, Allen; Tao, Terence; Woodward, Christopher 17 2004 A formula for \(K\)-theory truncation Schubert calculus. Zbl 1072.14071 Knutson, Allen; Yong, Alexander 13 2004 Puzzles and (equivariant) cohomology of Grassmannians. Zbl 1064.14063 Knutson, Allen; Tao, Terence 93 2003 Equivariant \(K\)-theory and equivariant cohomology. Zbl 1019.19003 Rosu, Ioanid; Knutson, Allen 27 2003 Honeycombs and sums of Hermitian matrices. Zbl 1047.15006 Knutson, Allen; Tao, Terence 53 2001 Descent-cycling in Schubert calculus. Zbl 1060.14078 Knutson, Allen 9 2001 The symplectic and algebraic geometry of Horn’s problem. Zbl 0981.15010 Knutson, Allen 21 2000 A limit of toric symplectic forms that has no periodic Hamiltonians. Zbl 0984.53031 Hausmann, J.-C.; Knutson, A. 2 2000 The honeycomb model of \(\text{GL}_n(\mathbb C)\) tensor products. I: Proof of the saturation conjecture. Zbl 0944.05097 Knutson, Allen; Tao, Terence 202 1999 A Littelmann-type formula for Duistermaat-Heckman measures. Zbl 0971.58014 Knutson, Allen 8 1999 Cohomology rings of symplectic cuts. Zbl 0986.57022 Hausmann, Jean-Claude; Knutson, Allen 2 1999 Equivariant sheaves. Zbl 1055.14504 Knutson, Allen; Sharpe, Eric 1 1999 The cohomology ring of polygon spaces. Zbl 0903.14019 Hausmann, Jean-Claude; Knutson, Allen 64 1998 Sheaves on toric varieties for physics. Zbl 0943.14021 Knutson, Allen; Sharpe, Eric 9 1998 Polygon spaces and Grassmannians. Zbl 0888.58007 Hausmann, Jean-Claude; Knutson, Allen 45 1997 all cited Publications top 5 cited Publications all top 5 Cited by 929 Authors 31 Yong, Alexander 22 Lam, Thomas F. 18 Knutson, Allen 16 Skovsted Buch, Anders 16 Zinn-Justin, Paul 15 Speyer, David E. 14 Pechenik, Oliver 13 Weigandt, Anna E. 12 Galashin, Pavel 12 Pak, Igor 12 Pawlowski, Brendan Alexander 12 Ressayre, Nicolas 12 Rimányi, Richárd 11 Belkale, Prakash 11 Pilaud, Vincent 11 Rajchgot, Jenna Beth 10 Ceballos, Cesar 10 Mészáros, Karola 9 Panova, Greta 9 Williams, Lauren K. 8 Davis, Donald M. 8 Dizier, Avery St. 8 Hamaker, Zachary 8 Kamiyama, Yasuhiko 8 Marberg, Eric 8 Purbhoo, Kevin 8 Shonkwiler, Clayton 8 Stump, Christian 8 Tymoczko, Julianna S. 7 Bergeron, Nantel 7 Billey, Sara C. 7 Di Francesco, Philippe 7 Fink, Alex 7 Hausmann, Jean-Claude 7 Matsumura, Tomoo 7 Mihalcea, Leonardo Constantin 7 Miller, Ezra 7 Morales, Alejandro Henry 7 Shimozono, Mark 6 Anderson, Dave Edward 6 Bercovici, Hari 6 Guo, Peter Long 6 Harada, Megumi 6 Kamnitzer, Joel 6 Kannan, Senthamarai 6 Kumar, Shrawan 6 Manon, Christopher 6 Needham, Tom 6 Richmond, Edward 6 Sherman-Bennett, Melissa U. 5 Cantarella, Jason H. 5 Christandl, Matthias 5 Farber, Michael S. 5 Goldin, Rebecca F. 5 Graham, William A. 5 Karp, Steven N. 5 Kiers, Joshua 5 Kreiman, Victor 5 Li, Changzheng 5 Li, Wing Suet 5 Muller, Greg 5 Narayanan, Hariharan 5 Naruse, Hiroshi 5 Robichaux, Colleen 5 Scrimshaw, Travis 5 Smirnov, Evgeny Yurievich 5 Tamvakis, Harry 5 Trnka, Jaroslav 5 Varchenko, Alexander Nikolaevich 5 Walter, Michael 5 Yu, Tianyi 4 Castillo, Federico 4 Cho, Soojin 4 Cid-Ruiz, Yairon 4 Coquereaux, Robert 4 Escobar, Laura 4 Fehér, László M. 4 Fei, Jiarui 4 Fraser, Chris 4 Gao, Shiliang 4 Henriques, André G. 4 Herrmann, Enrico 4 Holm, Tara S. 4 Ikeda, Takeshi 4 Ikenmeyer, Christian 4 Karpman, Rachel 4 Klein, Patricia 4 Kresch, Andrew 4 Labbé, Jean-Philippe 4 Lanini, Martina 4 Littelmann, Peter 4 Liu, Ricky Ini 4 Marcott, Cameron 4 Monical, Cara 4 Nayek, Arpita 4 Postnikov, Alexander E. 4 Pylyavskyy, Pavlo 4 Schütz, Dirk 4 Searles, Dominic 4 Serhiyenko, Khrystyna ...and 829 more Authors all top 5 Cited in 192 Serials 74 Advances in Mathematics 36 Journal of Combinatorial Theory. Series A 36 Journal of Algebraic Combinatorics 34 Séminaire Lotharingien de Combinatoire 28 Journal of Algebra 27 Transactions of the American Mathematical Society 27 Algebraic Combinatorics 23 The Electronic Journal of Combinatorics 22 Transformation Groups 20 Linear Algebra and its Applications 17 Duke Mathematical Journal 17 Selecta Mathematica. New Series 15 Inventiones Mathematicae 14 Proceedings of the American Mathematical Society 14 Advances in Applied Mathematics 13 Communications in Mathematical Physics 13 Mathematische Zeitschrift 12 Annales de l’Institut Fourier 12 Journal of High Energy Physics 11 Communications in Algebra 10 Journal of the American Mathematical Society 9 Compositio Mathematica 9 Mathematische Annalen 9 Topology and its Applications 9 European Journal of Combinatorics 8 Journal of Pure and Applied Algebra 8 Annals of Combinatorics 6 Journal of Geometry and Physics 6 International Journal of Mathematics 6 Algebraic & Geometric Topology 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Physics A: Mathematical and Theoretical 6 Combinatorial Theory 5 Letters in Mathematical Physics 5 Geometriae Dedicata 5 Michigan Mathematical Journal 5 Proceedings of the London Mathematical Society. Third Series 5 SIAM Journal on Discrete Mathematics 5 Forum Mathematicum 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Experimental Mathematics 5 Journal of Algebraic Geometry 5 Journal of Statistical Mechanics: Theory and Experiment 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Forum of Mathematics, Sigma 4 Discrete Mathematics 4 Linear and Multilinear Algebra 4 Bulletin of the London Mathematical Society 4 Canadian Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Journal für die Reine und Angewandte Mathematik 4 Probability Theory and Related Fields 4 Computational Complexity 4 Journal of Commutative Algebra 3 Illinois Journal of Mathematics 3 Memoirs of the American Mathematical Society 3 Pacific Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Lie Theory 3 Representation Theory 3 Oberwolfach Reports 3 Algebra & Number Theory 3 SIAM Journal on Applied Algebra and Geometry 3 Communications of the American Mathematical Society 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Russian Mathematical Surveys 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica 2 The Annals of Probability 2 Journal of Functional Analysis 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Annals of Global Analysis and Geometry 2 Discrete & Computational Geometry 2 SIAM Journal on Matrix Analysis and Applications 2 Random Structures & Algorithms 2 Differential Geometry and its Applications 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 Documenta Mathematica 2 Algebras and Representation Theory 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Annales Henri Poincaré 2 Foundations of Computational Mathematics 2 JP Journal of Geometry and Topology 2 Journal of Algebra and its Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Topology 2 International Electronic Journal of Geometry 2 Advances and Applications in Discrete Mathematics 2 Journal of Topology and Analysis 2 Science China. Mathematics 2 The Journal of Software for Algebra and Geometry 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 2 Probability and Mathematical Physics ...and 92 more Serials all top 5 Cited in 54 Fields 493 Algebraic geometry (14-XX) 406 Combinatorics (05-XX) 122 Group theory and generalizations (20-XX) 110 Commutative algebra (13-XX) 96 Convex and discrete geometry (52-XX) 87 Linear and multilinear algebra; matrix theory (15-XX) 72 Differential geometry (53-XX) 71 Algebraic topology (55-XX) 68 Associative rings and algebras (16-XX) 65 Nonassociative rings and algebras (17-XX) 64 Manifolds and cell complexes (57-XX) 58 Topological groups, Lie groups (22-XX) 45 Quantum theory (81-XX) 33 \(K\)-theory (19-XX) 28 Statistical mechanics, structure of matter (82-XX) 24 Number theory (11-XX) 24 Probability theory and stochastic processes (60-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Several complex variables and analytic spaces (32-XX) 21 Computer science (68-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 12 Operator theory (47-XX) 10 Numerical analysis (65-XX) 10 Mechanics of particles and systems (70-XX) 9 Functional analysis (46-XX) 8 Partial differential equations (35-XX) 8 Geometry (51-XX) 8 Operations research, mathematical programming (90-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Special functions (33-XX) 5 Category theory; homological algebra (18-XX) 5 Approximations and expansions (41-XX) 5 Abstract harmonic analysis (43-XX) 5 Systems theory; control (93-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Relativity and gravitational theory (83-XX) 3 Information and communication theory, circuits (94-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.