## Hales, Thomas Callister

Compute Distance To:
 Author ID: hales.thomas-c Published as: Hales, Thomas C.; Hales, Thomas; Hales, T. C. External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
 Documents Indexed: 52 Publications since 1989, including 2 Books 3 Further Contributions Biographic References: 2 Publications Co-Authors: 34 Co-Authors with 11 Joint Publications 808 Co-Co-Authors
all top 5

### Co-Authors

 42 single-authored 3 McLaughlin, Sean 2 Ferguson, Samuel P. 2 Gordon, Julia 2 Nipkow, Tobias 2 Obua, Steven 2 Solovyev, Alexey 2 Zumkeller, Roland 1 Aczel, Peter 1 Adams, Jeffrey David 1 Adams, Mark 1 Ahrens, Benedikt 1 Alexanderson, Gerald L. 1 Altenkirch, Thorsten 1 Angiuli, Carlo 1 Avigad, Jeremy 1 Awodey, Steve 1 Barras, Bruno 1 Bauer, Andrej 1 Bauer, Gertrud 1 Bertot, Yves 1 Bezem, Marc 1 Bordg, Anthony 1 Brunerie, Guillaume 1 Casselman, William A. 1 Cely, Jorge E. 1 Chaudouard, Pierre-Henri 1 Clozel, Laurent 1 Cluckers, Raf 1 Cohen, Charles J. 1 Cohen, Cyril 1 Constable, Robert Lee 1 Coquand, Thierry 1 Cunningham, Clifton L. R. 1 Curien, Pierre-Louis 1 Dang, Tat Dat 1 Dat, Jean-François 1 Diamond, Harold George 1 Dybjer, Peter 1 Finster, Eric 1 Gambino, Nicola 1 Garner, Richard 1 Gonthier, Georges 1 Grayson, Daniel Richard 1 Harper, Robert 1 Harris, Michael Howard 1 Hejhal, Dennis A. 1 Herbelin, Hugo 1 Hoàng Lê Trường 1 Hofmann, Martin 1 Hofstra, Pieter J. W. 1 Hötzel Escardó, Martín 1 Hou (Favonia), Kuen-Bang 1 Joyal, André 1 Kaliszyk, Cezary 1 Kapulkin, Chris 1 Kock, Joachim 1 Kolountzakis, Mihail N. 1 Kraus, Nicolai 1 Labesse, Jean-Pierre 1 Lagarias, Jeffrey C. 1 Lemaire, Bertrand 1 Li, Nuo 1 Licata, Dan 1 Loeser, François 1 Lumsdaine, Peter LeFanu 1 Luo, Zhaohui 1 Macintyre, Angus John 1 Magron, Victor 1 Mahboubi, Assia 1 Martin-Löf, Per 1 Mínguez, Alberto 1 Nahas, Michael 1 Ngô Dac Thuan 1 Ngô Bao Châu 1 Nguyen, Quang Truong 1 Nguyen, Tat Thang 1 Palmgren, Erik 1 Pelayo, Alvaro 1 Pleso, Joseph 1 Polonsky, Andrew 1 Renard, David A. 1 Riehl, Emily 1 Rijke, Egbert 1 Rute, Jason 1 Sarnak, Peter Clive 1 Scott, Dana Stewart 1 Scott, Philip J. 1 Shelah, Saharon 1 Shulman, Michael A. 1 Sojakova, Kristina 1 Solov’ëv, Sergeĭ Vladimirovich 1 Sozeau, Matthieu 1 Spitters, Bas 1 Tạ Thị Hoài An 1 1 Thompson, John Griggs 1 Tran, Nam Trung 1 Trieu, Thi Diep 1 Urban, Josef 1 Van den Berg, Benno ...and 5 more Co-Authors
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### Serials

 9 Discrete & Computational Geometry 5 Notices of the American Mathematical Society 2 American Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Representation Theory 1 American Mathematical Monthly 1 The Mathematical Intelligencer 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Combinatorica 1 Journal of the American Mathematical Society 1 Pokroky Matematiky, Fyziky & Astronomie 1 Bulletin of the American Mathematical Society. New Series 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 London Mathematical Society Lecture Note Series 1 Forum of Mathematics, Pi
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### Fields

 25 Convex and discrete geometry (52-XX) 17 Number theory (11-XX) 17 Topological groups, Lie groups (22-XX) 11 Computer science (68-XX) 8 Mathematical logic and foundations (03-XX) 8 Combinatorics (05-XX) 6 History and biography (01-XX) 5 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

47 Publications have been cited 560 times in 369 Documents Cited by Year
A proof of the Kepler conjecture. Zbl 1096.52010
Hales, Thomas C.
2005
The Jordan curve theorem, formally and informally. Zbl 1137.03305
Hales, Thomas C.
2007
Homotopy type theory. Univalent foundations of mathematics. Zbl 1298.03002
The Univalent Foundations Program
2013
The honeycomb conjecture. Zbl 1007.52008
Hales, T. C.
2001
A formal proof of the Kepler conjecture. Zbl 1379.52018
Hales, Thomas; Adams, Mark; Bauer, Gertrud; Dang, Tat Dat; Harrison, John; Hoang Le Truong; Kaliszyk, Cezary; Magron, Victor; McLaughlin, Sean; Nguyen, Tat Thang; Nguyen, Quang Truong; Nipkow, Tobias; Obua, Steven; Pleso, Joseph; Rute, Jason; Solovyev, Alexey; Ta, Thi Hoai An; Tran, Nam Trung; Trieu, Thi Diep; Urban, Josef; Vu, Ky; Zumkeller, Roland
2017
On the fundamental lemma for standard endoscopy: reduction to unit elements. Zbl 0840.22032
Hales, Thomas C.
1995
A simple definition of transfer factors for unramified groups. Zbl 0828.22015
Hales, Thomas C.
1993
A revision of the proof of the Kepler conjecture. Zbl 1195.52004
Hales, Thomas C.; Harrison, John; McLaughlin, Sean; Nipkow, Tobias; Obua, Steven; Zumkeller, Roland
2010
Dense sphere packings. A blueprint for formal proofs. Zbl 1263.52001
Hales, Thomas C.
2012
Cannonballs and honeycombs. Zbl 1040.52012
Hales, Thomas C.
2000
Formal proof. Zbl 1188.68002
Hales, Thomas C.
2008
Stabilization of the trace formula, Shimura varieties, and arithmetic applications. Volume 1: On the stabilization of the trace formula. Zbl 1255.11027
2011
The sphere packing problem. Zbl 0770.52009
Hales, Thomas C.
1992
Unipotent representations and unipotent classes in $$SL(N)$$. Zbl 0810.22008
Hales, Thomas C.
1993
What is motivic measure? Zbl 1081.14033
Hales, Thomas C.
2005
Formalizing the proof of the Kepler conjecture. Zbl 1099.68725
Hales, Thomas
2004
Historical overview of the Kepler conjecture. Zbl 1186.52010
Hales, Thomas C.
2006
A formulation of the Kepler conjecture. Zbl 1186.52014
Hales, Thomas C.; Ferguson, Samuel P.
2006
Sphere packings. I. Zbl 0883.52012
Hales, T. C.
1997
The status of the Kepler conjecture. Zbl 0844.52018
Hales, Thomas C.
1994
Endoscopic transfer of orbital integrals in large residual characteristic. Zbl 1358.11062
Gordon, Julia; Hales, Thomas
2016
Good orbital integrals. Zbl 1054.22016
Cunningham, Clifton; Hales, Thomas C.
2004
The Fundamental Lemma for $$Sp(4)$$. Zbl 0876.22022
Hales, Thomas C.
1997
The Kepler conjecture. The Hales-Ferguson proof. Including a special issue of Discrete & Computational Geometry. Zbl 1234.52002
2011
Can $$p$$-adic integrals be computed? Zbl 1131.11354
Hales, Thomas C.
2004
Sphere packings. III: Extremal cases. Zbl 1186.52011
Hales, Thomas C.
2006
Hyperelliptic curves and harmonic analysis. (Why harmonic analysis on reductive $$p$$-adic groups is not elementary). Zbl 0834.22017
Hales, Thomas C.
1994
Orbital integrals are motivic. Zbl 1056.22009
Hales, Thomas C.
2005
The dodecahedral conjecture. Zbl 1207.52017
Hales, Thomas C.; McLaughlin, Sean
2010
Sphere packings. VI: Tame graphs and linear programs. Zbl 1186.52013
Hales, Thomas C.
2006
Sphere packings. II. Zbl 0883.52013
Hales, T. C.
1997
Virtual transfer factors. Zbl 1043.11050
Gordon, Julia; Hales, Thomas C.
2003
Sphere packings. IV: Detailed bounds. Zbl 1186.52012
Hales, Thomas C.
2006
Shalika germs on $$\mathrm{GSp}(4)$$. Zbl 0698.22011
Hales, Thomas C.
1989
The twisted endoscopy of $$GL(4)$$ and $$GL(5)$$: Transfer of Shalika germs. Zbl 0853.22013
Hales, Thomas C.
1994
Efficient formal verification of bounds of linear programs. Zbl 1335.68238
Solovyev, Alexey; Hales, Thomas C.
2011
A computer verification of the Kepler conjecture. Zbl 1012.52031
Hales, Thomas C.
2002
The spherical Hecke algebra, partition functions, and motivic integration. Zbl 1418.22008
Casselman, William; Cely, Jorge E.; Hales, Thomas
2019
A statement of the fundamental lemma. Zbl 1105.22010
Hales, Thomas C.
2005
Some algorithms arising in the proof of the Kepler conjecture. Zbl 1104.68800
Hales, Thomas C.
2003
The strong dodecahedral conjecture and Fejes Tóth’s conjecture on sphere packings with kissing number twelve. Zbl 1281.52013
Hales, Thomas C.
2013
Remarks on the density of sphere packings in three dimensions. Zbl 0784.05023
Hales, Thomas C.
1993
On the Reinhardt conjecture. Zbl 1239.52002
Hales, Thomas C.
2011
Orbital integrals on $$\text{U}(3)$$. Zbl 0823.11023
Hales, Thomas C.
1992
The subregular germ of orbital integrals. Zbl 0818.22004
Hales, Thomas C.
1992
The fundamental lemma and the Hitchin fibration. Zbl 1402.22008
Hales, Thomas C.
2012
Linear programs for the Kepler conjecture (extended abstract). Zbl 1294.68122
Hales, Thomas C.
2010
The spherical Hecke algebra, partition functions, and motivic integration. Zbl 1418.22008
Casselman, William; Cely, Jorge E.; Hales, Thomas
2019
A formal proof of the Kepler conjecture. Zbl 1379.52018
Hales, Thomas; Adams, Mark; Bauer, Gertrud; Dang, Tat Dat; Harrison, John; Hoang Le Truong; Kaliszyk, Cezary; Magron, Victor; McLaughlin, Sean; Nguyen, Tat Thang; Nguyen, Quang Truong; Nipkow, Tobias; Obua, Steven; Pleso, Joseph; Rute, Jason; Solovyev, Alexey; Ta, Thi Hoai An; Tran, Nam Trung; Trieu, Thi Diep; Urban, Josef; Vu, Ky; Zumkeller, Roland
2017
Endoscopic transfer of orbital integrals in large residual characteristic. Zbl 1358.11062
Gordon, Julia; Hales, Thomas
2016
Homotopy type theory. Univalent foundations of mathematics. Zbl 1298.03002
The Univalent Foundations Program
2013
The strong dodecahedral conjecture and Fejes Tóth’s conjecture on sphere packings with kissing number twelve. Zbl 1281.52013
Hales, Thomas C.
2013
Dense sphere packings. A blueprint for formal proofs. Zbl 1263.52001
Hales, Thomas C.
2012
The fundamental lemma and the Hitchin fibration. Zbl 1402.22008
Hales, Thomas C.
2012
Stabilization of the trace formula, Shimura varieties, and arithmetic applications. Volume 1: On the stabilization of the trace formula. Zbl 1255.11027
2011
The Kepler conjecture. The Hales-Ferguson proof. Including a special issue of Discrete & Computational Geometry. Zbl 1234.52002
2011
Efficient formal verification of bounds of linear programs. Zbl 1335.68238
Solovyev, Alexey; Hales, Thomas C.
2011
On the Reinhardt conjecture. Zbl 1239.52002
Hales, Thomas C.
2011
A revision of the proof of the Kepler conjecture. Zbl 1195.52004
Hales, Thomas C.; Harrison, John; McLaughlin, Sean; Nipkow, Tobias; Obua, Steven; Zumkeller, Roland
2010
The dodecahedral conjecture. Zbl 1207.52017
Hales, Thomas C.; McLaughlin, Sean
2010
Linear programs for the Kepler conjecture (extended abstract). Zbl 1294.68122
Hales, Thomas C.
2010
Formal proof. Zbl 1188.68002
Hales, Thomas C.
2008
The Jordan curve theorem, formally and informally. Zbl 1137.03305
Hales, Thomas C.
2007
Historical overview of the Kepler conjecture. Zbl 1186.52010
Hales, Thomas C.
2006
A formulation of the Kepler conjecture. Zbl 1186.52014
Hales, Thomas C.; Ferguson, Samuel P.
2006
Sphere packings. III: Extremal cases. Zbl 1186.52011
Hales, Thomas C.
2006
Sphere packings. VI: Tame graphs and linear programs. Zbl 1186.52013
Hales, Thomas C.
2006
Sphere packings. IV: Detailed bounds. Zbl 1186.52012
Hales, Thomas C.
2006
A proof of the Kepler conjecture. Zbl 1096.52010
Hales, Thomas C.
2005
What is motivic measure? Zbl 1081.14033
Hales, Thomas C.
2005
Orbital integrals are motivic. Zbl 1056.22009
Hales, Thomas C.
2005
A statement of the fundamental lemma. Zbl 1105.22010
Hales, Thomas C.
2005
Formalizing the proof of the Kepler conjecture. Zbl 1099.68725
Hales, Thomas
2004
Good orbital integrals. Zbl 1054.22016
Cunningham, Clifton; Hales, Thomas C.
2004
Can $$p$$-adic integrals be computed? Zbl 1131.11354
Hales, Thomas C.
2004
Virtual transfer factors. Zbl 1043.11050
Gordon, Julia; Hales, Thomas C.
2003
Some algorithms arising in the proof of the Kepler conjecture. Zbl 1104.68800
Hales, Thomas C.
2003
A computer verification of the Kepler conjecture. Zbl 1012.52031
Hales, Thomas C.
2002
The honeycomb conjecture. Zbl 1007.52008
Hales, T. C.
2001
Cannonballs and honeycombs. Zbl 1040.52012
Hales, Thomas C.
2000
Sphere packings. I. Zbl 0883.52012
Hales, T. C.
1997
The Fundamental Lemma for $$Sp(4)$$. Zbl 0876.22022
Hales, Thomas C.
1997
Sphere packings. II. Zbl 0883.52013
Hales, T. C.
1997
On the fundamental lemma for standard endoscopy: reduction to unit elements. Zbl 0840.22032
Hales, Thomas C.
1995
The status of the Kepler conjecture. Zbl 0844.52018
Hales, Thomas C.
1994
Hyperelliptic curves and harmonic analysis. (Why harmonic analysis on reductive $$p$$-adic groups is not elementary). Zbl 0834.22017
Hales, Thomas C.
1994
The twisted endoscopy of $$GL(4)$$ and $$GL(5)$$: Transfer of Shalika germs. Zbl 0853.22013
Hales, Thomas C.
1994
A simple definition of transfer factors for unramified groups. Zbl 0828.22015
Hales, Thomas C.
1993
Unipotent representations and unipotent classes in $$SL(N)$$. Zbl 0810.22008
Hales, Thomas C.
1993
Remarks on the density of sphere packings in three dimensions. Zbl 0784.05023
Hales, Thomas C.
1993
The sphere packing problem. Zbl 0770.52009
Hales, Thomas C.
1992
Orbital integrals on $$\text{U}(3)$$. Zbl 0823.11023
Hales, Thomas C.
1992
The subregular germ of orbital integrals. Zbl 0818.22004
Hales, Thomas C.
1992
Shalika germs on $$\mathrm{GSp}(4)$$. Zbl 0698.22011
Hales, Thomas C.
1989
all top 5

### Cited by 618 Authors

 12 Hales, Thomas Callister 6 Bezdek, Károly 6 Cluckers, Raf 6 Szirmai, Jenó 5 Bucur, Dorin 5 Gordon, Julia 5 Nipkow, Tobias 5 Urban, Josef 4 Cohn, Henry Lee 4 Fragalà, Ilaria 4 Kaliszyk, Cezary 4 Kallus, Yoav 4 Lemaire, Bertrand 4 Obua, Steven 4 Stoyan, Yuriĭ Grygorovych 3 Arthur, James Greig 3 Conway, John Horton 3 de Laat, David 3 Fernique, Thomas 3 Halupczok, Immanuel 3 Hardin, Douglas P. 3 Henniart, Guy M. 3 Kaletha, Tasho 3 Kaltofen, Erich L. 3 Lessard, Jean-Philippe 3 Magron, Victor 3 McLaughlin, Sean 3 Shin, Sug Woo 3 Theil, Florian 3 Torquato, Salvatore 3 Waldspurger, Jean-Loup 3 Wójtowicz, Krzysztof 3 Yin, Yimu 2 Abbas, Hassan 2 Allamigeon, Xavier 2 Aransay, Jesús 2 Arnold, Andrew 2 Aspinall, David 2 Barkatou, Moulay A. 2 Bétermin, Laurent 2 Bogoşel, Beniamin 2 Borodachov, Sergiy V. 2 Bostan, Alin 2 Bourne, David P. 2 Brauchart, Johann S. 2 Calude, Cristian S. 2 Chen, Elizabeth R. 2 Chen, Shaoshi 2 Corneli, Joseph 2 Cunningham, Clifton L. R. 2 De Luca, Lucia 2 Divasón, Jose 2 Elser, Veit 2 Faugère, Jean-Charles 2 Faulhuber, Markus 2 Flatley, Lisa C. 2 Gaubert, Stéphane 2 Geuvers, Jan Herman 2 Giesbrecht, Mark W. 2 Grabner, Peter J. 2 Hartman, Thomas E. 2 Indrei, Emanuel 2 Johnson, Tomas 2 Kauers, Manuel 2 Kerber, Michael 2 Kim, Ju-Lee 2 Kusner, Wöden 2 Loeser, François 2 Maddah, Suzy S. 2 Melquiond, Guillaume 2 Musin, Oleg R. 2 Osting, Braxton 2 Paulson, Lawrence Charles 2 Petrache, Mircea 2 Roche, Daniel S. 2 Rouillier, Fabrice 2 Rump, Siegfried Michael 2 Saff, Edward Barry 2 Schost, Éric 2 Siddique, Umair 2 Sloane, Neil James Alexander 2 Solovyev, Alexey 2 Sorensen, Claus Mazanti 2 Spice, Loren 2 Steinerberger, Stefan 2 Sutcliffe, Geoff 2 Tahar, Sofiène 2 Taïbi, Olivier 2 Tucker, Warwick 2 Vallentin, Frank 2 van den Berg, Jan Bouwe 2 Veys, Willem 2 Werner, Benjamin 2 Xavier, Adilson Elias 2 Yaskov, Georgy 2 Zhao, Yufei 2 Zumkeller, Roland 1 Aarts, Emile Hubertus Leonardus 1 Adams, Mark 1 Afkhami-Jeddi, Nima ...and 518 more Authors
all top 5

### Cited in 151 Serials

 23 Discrete & Computational Geometry 12 Journal of Automated Reasoning 9 Advances in Mathematics 8 Duke Mathematical Journal 5 Communications in Mathematical Physics 5 Compositio Mathematica 5 Journal für die Reine und Angewandte Mathematik 5 Proceedings of the American Mathematical Society 5 Synthese 5 Bulletin of the American Mathematical Society. New Series 4 Journal of Statistical Physics 4 The Mathematical Intelligencer 4 Representation Theory 3 Publications Mathématiques 3 Inventiones Mathematicae 3 Journal of Computational and Applied Mathematics 3 Journal of Geometry 3 Theoretical Computer Science 3 Transactions of the American Mathematical Society 3 Annals of Mathematics. Second Series 3 Journal of the Institute of Mathematics of Jussieu 2 Artificial Intelligence 2 Archive for Rational Mechanics and Analysis 2 Discrete Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematics of Computation 2 Bulletin of Mathematical Biology 2 Beiträge zur Algebra und Geometrie 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 International Journal for Numerical Methods in Engineering 2 Journal of Computer and System Sciences 2 European Journal of Combinatorics 2 Acta Mathematica Hungarica 2 Annals of Pure and Applied Logic 2 Journal of Complexity 2 Journal of the American Mathematical Society 2 Formal Aspects of Computing 2 The Annals of Applied Probability 2 MSCS. Mathematical Structures in Computer Science 2 Journal of Global Optimization 2 Mathematical Programming. Series A. Series B 2 Indagationes Mathematicae. New Series 2 Journal of Nonlinear Science 2 Journal de Théorie des Nombres de Bordeaux 2 Selecta Mathematica. New Series 2 Annals of Mathematics and Artificial Intelligence 2 International Transactions in Operational Research 2 Journal of Mathematical Chemistry 2 Geometry & Topology 2 Journal of High Energy Physics 2 Journal of Formalized Reasoning 2 Forum of Mathematics, Sigma 1 Acta Mechanica 1 International Journal of Solids and Structures 1 Israel Journal of Mathematics 1 Physics Reports 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 BIT 1 Bulletin de la Société Mathématique de France 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of Mathematical Economics 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Kybernetes 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Advances in Applied Mathematics 1 Combinatorica 1 Computer Aided Geometric Design 1 Physica D 1 Constructive Approximation 1 Algorithmica 1 Information and Computation 1 Facta Universitatis. Series Mathematics and Informatics 1 Computational Mechanics 1 Sugaku Expositions 1 AI Communications 1 Computational Mathematics and Modeling 1 Differential Geometry and its Applications 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Chinese Science Bulletin 1 Journal of Mathematical Imaging and Vision ...and 51 more Serials
all top 5

### Cited in 53 Fields

 121 Computer science (68-XX) 90 Convex and discrete geometry (52-XX) 69 Number theory (11-XX) 44 Topological groups, Lie groups (22-XX) 39 Numerical analysis (65-XX) 34 Mathematical logic and foundations (03-XX) 30 Combinatorics (05-XX) 29 Algebraic geometry (14-XX) 27 Operations research, mathematical programming (90-XX) 18 General and overarching topics; collections (00-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Field theory and polynomials (12-XX) 15 Commutative algebra (13-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Geometry (51-XX) 12 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Approximations and expansions (41-XX) 9 Biology and other natural sciences (92-XX) 8 Group theory and generalizations (20-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Ordinary differential equations (34-XX) 7 Differential geometry (53-XX) 7 Information and communication theory, circuits (94-XX) 6 Algebraic topology (55-XX) 6 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Manifolds and cell complexes (57-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

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