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Manin, Yuriĭ Ivanovich (b. 1937 d. 2023)

Author ID: manin.yurii-ivanovich Recent zbMATH articles by "Manin, Yuriĭ Ivanovich"
Published as: Manin, Yu. I.; Manin, Yuri I.; Manin, Yuri; Manin, Yu.; Manin, Y.; Manin, Yurii I.; Manin, Yu I.; Manin, Yuri Ivanovich; Manin, Youri I.; Manin, Yuriĭ I.; Manin, Yu. I .; Manin, Y. I.
Further Spellings: Манин Юрий Иванович
Homepage: http://www.mpim-bonn.mpg.de/node/99
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

197 single-authored
26 Marcolli, Matilde
12 Drinfeld, Vladimir Gershonovich
10 Combe, Noemie C.
8 Parshin, Alekseĭ Nikolaevich
8 Shafarevich, Igor’ Rostislavovich
7 Gel’fand, Sergeĭ Izrail’evich
7 Kostrikin, Alekseĭ Ivanovich
6 Beilinson, Alexander A.
6 Cartier, Pierre
6 Illusie, Luc
6 Katz, Nicholas Michael
6 Kontsevich, Maxim
6 Laumon, Gérard
6 Ribet, Kenneth Alan
5 Novikov, Sergeĭ Petrovich
5 Panchishkin, Alexei A.
5 Zarkhin, Yuriĭ Gennad’evich
4 Bogomolov, Fedor Alekseivich
4 Gel’fand, Israil’ Moiseevich
4 Iskovskikh, Vasiliĭ Alekseevich
4 Kapranov, Mikhail M.
4 Kolyada, Sergiǐ Fedorovych
4 Kulikov, Viktor Stepanovich
4 Kupershmidt, Boris A.
4 Nikulin, Vyacheslav Valentinovich
4 Prokhorov, Yuriĭ Gennad’evich
4 Schechtman, Vadim
3 Dyson, Freeman John
3 Hertling, Claus
3 Ilyashenko, Yulij Sergeevich
3 Lebedev, Dmitrii R.
3 Moishezon, Boris G.
3 Moree, Pieter
3 Orlov, Dmitri O.
3 Penkov, Ivan B.
3 Reid, Miles
3 Shokurov, Vyacheslav Vladimirovich
3 Tschinkel, Yuri
3 Voronov, Alexander A.
2 Arnol’d, Vladimir Igorevich
2 Atiyah, Michael Francis
2 Bayer, Arend
2 Cheltsov, Ivan Anatol’evich
2 Franke, Jens
2 Heath-Brown, Roger
2 Hoang Le Minh
2 Kaufmann, Ralph M.
2 Khenkin, Gennadiĭ Markovich
2 Krichever, Igor’ Moiseevich
2 Lando, Sergei K.
2 Losev, Andrei S.
2 Matiyasevich, Yuriĭ Vladimirovich
2 Moroz, Boris Zelikovich
2 Mumford, David Bryant
2 Nemirovskiĭ, Stefan Yur’evich
2 Potyagailo, Leonid
2 Pukhlikov, Aleksandr Valentinovich
2 Ramanujam, Chidambaram Padmanabhan
2 Schwarz, Albert S.
2 Shubin, Mikhail Aleksandrovich
2 Tsfasman, Michael A.
2 Tyurin, Andreĭ Nikolaevich
2 Vasil’ev, Viktor Anatol’evich
2 Ward, Thomas B.
2 Zagier, Don Bernard
2 Zel’manov, Efim Isaakovich
1 Adelson-Velsky, Georgy
1 Alder, A.
1 Aleksandrov, Pavel Sergeevich
1 Anisimov, Anatoly V.
1 Aptekarev, Alexander Ivanovich
1 Averbukh, Boris G.
1 Bär, Christian
1 Baranov, Aleksandr Mikhaĭlovich
1 Bārzdiņš, Jānis
1 Batyrev, Victor V.
1 Bauer, Friedrich Ludwig
1 Behrend, Kai A.
1 Berlemann, Jochem
1 Beukers, Frits
1 Bokut, Leonid A.
1 Boltyanskij, Vladimir Grigor’evich
1 Borisov, Dennis V.
1 Bourguignon, Jean-Pierre
1 Bruzzo, Ugo
1 Buda, A.
1 Buium, Alexandru
1 Bukhshtaber, Viktor Matveevich
1 Catanese, Fabrizio M. E.
1 Ceyhan, Özgür
1 Chirka, Evgeniĭ Mikhaĭlovich
1 Delone, Boris Nikolaevich
1 Demidov, E. E.
1 Dieulefait, Luis Victor
1 Ehret, Marietta
1 Èl’sgol’ts, Lev Èrnestovich
1 Ershov, Andreĭ Petrovich
1 Essenin-Vol’pin, A. S.
1 Faddeev, Dmitriĭ Konstantinovich
1 Faltings, Gerd
...and 108 more Co-Authors
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Serials

18 Russian Mathematical Surveys
13 Functional Analysis and its Applications
11 Journal of Soviet Mathematics
11 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
10 Translations. Series 2. American Mathematical Society
9 Matematicheskiĭ Sbornik. Novaya Seriya
9 Mathematics of the USSR, Sbornik
8 Communications in Mathematical Physics
8 Uspekhi Matematicheskikh Nauk [N. S.]
7 Funktsional’nyĭ Analiz i ego Prilozheniya
7 Soviet Mathematics. Doklady
6 Moscow Mathematical Journal
5 Inventiones Mathematicae
5 Mathematics of the USSR. Izvestiya
5 Izvestiya: Mathematics
5 Progress in Mathematics
4 Compositio Mathematica
4 Proceedings of the Steklov Institute of Mathematics
3 Pure and Applied Mathematics Quarterly
3 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
3 Mathematics in Computer Science
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Modern Birkhäuser Classics
2 Letters in Mathematical Physics
2 Soviet Journal of Nuclear Physics
2 Soviet Scientific Reviews. Section C
2 Annales de l’Institut Fourier
2 Notices of the American Mathematical Society
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Topological Methods in Nonlinear Analysis
2 Selecta Mathematica. New Series
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Algebra, Logic and Applications
2 Contemporary Mathematics
2 Graduate Texts in Mathematics
2 Grundlehren der Mathematischen Wissenschaften
2 North-Holland Mathematical Library
1 Doklady Akademii Nauk SSSR
1 Mathematical Notes
1 Matematicheskie Zametki
1 Moscow University Mathematics Bulletin
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Arithmetica
1 Advances in Mathematics
1 American Journal of Mathematics
1 Bulletin of the London Mathematical Society
1 Duke Mathematical Journal
1 Publications Mathématiques
1 Journal of Differential Geometry
1 Journal of the Faculty of Science. Section I A
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Verslag van de Gewone Vergadering van de Afdeling Natuurkunde
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Theoretical Computer Science
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Physica D
1 MSCS. Mathematical Structures in Computer Science
1 IMRN. International Mathematics Research Notices
1 Fiziko-Matematichesko Spisanie
1 Bulletin of the American Mathematical Society. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Mathematical Sciences (New York)
1 Documenta Mathematica
1 European Mathematical Society Newsletter
1 The Asian Journal of Mathematics
1 Advances in Theoretical and Mathematical Physics
1 RIMS Kokyuroku
1 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Matematica e Applicazioni. Serie V
1 Matematicheskiĭ Zhurnal
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Colloquium Publications. American Mathematical Society
1 Encyclopaedia of Mathematical Sciences
1 Fundamental Theories of Physics
1 Lecture Notes in Computer Science
1 Lecture Notes in Mathematics
1 London Mathematical Society Lecture Note Series
1 Tata Institute of Fundamental Research. Studies in Mathematics
1 University Lecture Series
1 World Scientific Series in 20th Century Mathematics
1 Enseignement des Mathématiques (Cassini)
1 Complex Analysis and Operator Theory
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Algebra & Number Theory
1 ICCM Notices
1 Research in the Mathematical Sciences
1 Die Weltweit Besten Mathematischen Artikel im 21. Jahrhundert
1 North-Western European Journal of Mathematics
1 CRM Short Courses
1 Springer Monographs in Mathematics
1 Moscow Lectures
1 Progress in Physics
1 M. B. Porter Lectures
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Fields

180 Algebraic geometry (14-XX)
77 Number theory (11-XX)
63 Quantum theory (81-XX)
50 Differential geometry (53-XX)
49 Global analysis, analysis on manifolds (58-XX)
40 General and overarching topics; collections (00-XX)
36 History and biography (01-XX)
29 Several complex variables and analytic spaces (32-XX)
28 Category theory; homological algebra (18-XX)
24 Mathematical logic and foundations (03-XX)
20 Nonassociative rings and algebras (17-XX)
17 Dynamical systems and ergodic theory (37-XX)
17 Relativity and gravitational theory (83-XX)
16 Information and communication theory, circuits (94-XX)
15 Associative rings and algebras (16-XX)
15 Partial differential equations (35-XX)
15 Computer science (68-XX)
14 Group theory and generalizations (20-XX)
13 Functional analysis (46-XX)
13 Algebraic topology (55-XX)
8 Topological groups, Lie groups (22-XX)
8 Geometry (51-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Commutative algebra (13-XX)
4 Field theory and polynomials (12-XX)
4 Ordinary differential equations (34-XX)
3 Functions of a complex variable (30-XX)
3 Probability theory and stochastic processes (60-XX)
3 Fluid mechanics (76-XX)
2 Combinatorics (05-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 \(K\)-theory (19-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of particles and systems (70-XX)
2 Biology and other natural sciences (92-XX)
1 General algebraic systems (08-XX)
1 Operator theory (47-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

254 Publications have been cited 5,867 times in 4,717 Documents Cited by Year
Construction of instantons. Zbl 0424.14004
Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I.
391
1978
Quantum groups and non-commutative geometry. Zbl 0724.17006
Manin, Yu. I.
336
1988
Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0853.14020
Kontsevich, M.; Manin, Yu.
285
1994
Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001
Gelfand, S. I.; Manin, Yu. I.
177
2003
A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy. Zbl 0607.35075
Manin, Yu. I.; Radul, A. O.
174
1985
Cubic forms. Algebra, geometry, arithmetic. Transl. from the Russian by M. Hazewinkel. 2nd ed. Zbl 0582.14010
Manin, Yu. I.
156
1986
Multiparametric quantum deformation of the general linear supergroup. Zbl 0673.16004
Manin, Yu. I.
152
1989
Frobenius manifolds, quantum cohomology, and moduli spaces. Zbl 0952.14032
Manin, Yuri I.
149
1999
Rational points of bounded height on Fano varieties. Zbl 0674.14012
Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri
142
1989
Cubic forms. Algebra, geometry, arithmetic. Translated from Russian by M. Hazewinkel. Zbl 0277.14014
Manin, Yu. I.
119
1974
Parabolic points and zeta-functions of modular curves. (Parabolische Punkte und Zeta-Funktionen modularer Kurven.) Zbl 0243.14008
Manin, Yu. I.
116
1972
Topics in noncommutative geometry. Zbl 0724.17007
Manin, Yuri I.
110
1991
The theory of commutative formal groups over fields of finite characteristic. Zbl 0128.15603
Manin, Yu. I.
101
1963
Some remarks on Koszul algebras and quantum groups. Zbl 0625.58040
Manin, Yu. I.
94
1987
Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001
Gelfand, S. I.; Manin, Yu. I.
93
1996
Correspondences, motifs and monoidal transformations. Zbl 0199.24803
Manin, Yu. I.
86
1968
On the number of rational points of bounded height on algebraic varieties. (Sur le nombre des points rationnels de hauteur borné des variétés algébriques.) Zbl 0679.14008
Batyrev, V. V.; Manin, Yu. I.
84
1990
Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. Zbl 0641.53001
Manin, Yuri I.
84
1988
Algebraic aspects of nonlinear differential equations. Zbl 0419.35001
Manin, Yu. I.
83
1979
Stacks of stable maps and Gromov-Witten invariants. Zbl 0872.14019
Behrend, K.; Manin, Yu.
80
1996
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
76
2008
Three -dimensional quartics and counterexamples to the Lueroth problem. Zbl 0222.14009
Iskovskikh, V. A.; Manin, Yu. I.
75
1971
Lecture on zeta functions and motives (according to Deninger and Kurokawa). Zbl 0840.14001
Manin, Yuri
67
1995
New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536
Losev, A.; Manin, Y.
65
2000
Automorphic pseudodifferential operators. Zbl 1055.11514
Cohen, Paula Beazley; Manin, Yuri; Zagier, Don
65
1997
Cubic forms: algebra, geometry, arithmetic. (Кубицеские формы: алгебра, геометрия, арифметика.) Zbl 0255.14002
Manin, Yu. I.
62
1972
Arrangements of hyperplanes, higher braid groups and higher Bruhat orders. Zbl 0759.20002
Manin, Yu. I.; Shekhtman, V. V.
62
1989
Weak Frobenius manifolds. Zbl 0960.58003
Hertling, C.; Manin, Yu.
60
1999
Periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14008
Manin, Yu. I.
58
1975
Gauge fields and complex geometry. (Kalibrovochnye polya i kompleksnaya geometriya). Zbl 0576.53002
Manin, Yu. I.
57
1984
Le groupe de Brauer-Grothendieck en géométrie diophantienne. Zbl 0239.14010
Manin, Yu. I.
51
1971
The periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14007
Manin, Yu. I.
51
1973
Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. With an appendix by S. Merkulov. 2nd ed. Zbl 0884.53002
Manin, Yuri I.
49
1997
Rational surfaces over perfect fields. Zbl 0171.41701
Manin, Yu. I.
45
1966
Parabolic points and zeta-functions of modular curves. Zbl 0248.14010
Manin, Yu. I.
45
1973
The Mumford form and the Polyakov measure in string theory. Zbl 0604.14016
Bejlinson, A. A.; Manin, Yu. I.
42
1986
Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063
Goncharov, A. B.; Manin, Yu. I.
41
2004
Cyclotomic fields and modular curves. Zbl 0266.14012
Manin, Yu. I.
41
1972
Sixth Painlevé equation, universal elliptic curve, and mirror of \(\mathbb{P}^2\). Zbl 0948.14025
Manin, Yu. I.
39
1998
Algebraic surfaces. Zbl 0154.21001
Shafarevich, I. R.; Averbukh, B. G.; Vaĭnberg, J. R.; Zhizhchenko, A. B.; Manin, Yu. I.; Moĭshezon, B. G.; Tyurina, G. N.; Tyurin, A. N.
38
1965
The Hasse-Witt matrix of an algebraic curve. Zbl 0148.28002
Manin, Yu. I.
35
1965
Three-dimensional quartics and counterexamples to the Lüroth problem. Zbl 0249.14001
Iskovskikh, V. A.; Manin, Yu. I.
35
1972
Iterated integrals of modular forms and noncommutative modular symbols. Zbl 1184.11019
Manin, Yuri I.
34
2006
Equations of long waves with a free surface. II: Hamiltonian structure and higher equations. Zbl 0405.58049
Kupershmidt, B. A.; Manin, Yu. I.
34
1978
A course in mathematical logic. Translated from the Russian by Neal Koblitz. Zbl 0383.03002
Manin, Yu. I.
32
1977
Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.
31
2001
Rational points of algebraic curves over function fields. (Rationale Punkte von algebraischen Kurven über Funktionenkörpern.) Zbl 0166.16901
Manin, Yu. I.
31
1963
Non-Archimedean integration and Jacquet-Langlands p-adic l-functions. Zbl 0348.12016
Manin, Yu. I.
31
1976
Rational varieties: Algebra, geometry and arithmetic. Zbl 0621.14029
Manin, Yu. I.; Tsfasman, M. A.
31
1986
\(F\)-manifolds with flat structure and Dubrovin’s duality. Zbl 1085.14023
Manin, Yuri I.
30
2005
Periods of p-adic Schottky groups. Zbl 0275.14017
Manin, Yu. I.; Drinfeld, V.
30
1973
Three-dimensional hyperbolic geometry as \(\infty\)-adic Arakelov geometry. Zbl 0754.14014
Manin, Yu. I.
28
1991
Relations between the correlators of the topological sigma-model coupled to gravity. Zbl 0946.14032
Kontsevich, M.; Manin, Yu.
27
1998
Rational surfaces over perfect fields. II. Zbl 0182.23701
Manin, Yu. I.
27
1968
What is the maximum number of points on a curve over \(F^ 2\)? Zbl 0527.14021
Manin, Yu. I.
26
1981
Generating functions in algebraic geometry and sums over trees. Zbl 0871.14022
Manin, Yu. I.
26
1995
Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022
Manin, Yu. I.
26
2004
Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011
Kaufmann, R.; Manin, Yu.; Zagier, D.
26
1996
Non-standard quantum deformations of \(\text{GL}(n)\) and constant solutions of the Yang-Baxter equation. Zbl 0784.17017
Demidov, E. E.; Manin, Yu. I.; Mukhin, E. E.; Zhdanovich, D. V.
26
1990
Quantum cohomology of a product (with appendix by R. Kaufmann). Zbl 0853.14021
Kontsevich, M.; Manin, Yu.
25
1996
Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0931.14030
Kontsevich, M.; Manin, Yu.
25
1997
Homological Algebra. Zbl 0787.18008
Gelfand, S. I.; Manin, Yu. I.
25
1989
Notes on quantum groups and quantum de Rham complexes. Zbl 0810.17003
Manin, Yu. I.
24
1992
A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings. Zbl 0624.58033
Baranov, A. M.; Manin, Yu. I.; Frolov, I. V.; Schwarz, A. S.
24
1987
Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033
Manin, Y. I.; Marcolli, M.
24
2002
Rational points of algebraic curves over function fields. Zbl 0178.55102
Manin, Yu. I.
23
1963
Linear codes and modular curves. Zbl 0629.94013
Vlèduts, S. G.; Manin, Yu. I.
21
1985
Invertible cohomological field theories and Weil-Petersson volumes. Zbl 1001.14008
Manin, Yuri I.; Zograf, Peter
21
2000
Uniformly bounded \(p\)-torsion of elliptic curves. (Gleichmäßig beschränkte \(p\)-Drehung elliptischer Kurven.) Zbl 0191.19601
Manin, Yu. I.
21
1969
Long-wave equation with free boundaries. I. Conservation laws and solution. Zbl 0419.35075
Kupershmidt, B. A.; Manin, Yu. I.
20
1978
Lectures on the \(K\)-functor in algebraic geometry. Zbl 0204.21302
Manin, Yu. I.
20
1969
Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves. Zbl 0639.14015
Manin, Yu. I.
19
1986
A description of instantons. Zbl 0407.22017
Drinfeld, V. G.; Manin, Yu. I.
19
1978
Holography principle and arithmetic of algebraic curves. Zbl 1042.14006
Manin, Yuri I.; Marcolli, Matilde
19
2001
On the Hasse-Witt matrix of an algebraic curve. (Über die Hasse-Wittsche Matrix einer algebraischen Kurve.) Zbl 0102.27802
Manin, Yu. I.
18
1961
The Tate height of points on an abelian variety, its variants and applications. Zbl 0192.26801
Manin, Yu. I.
18
1964
Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002
Manin, Yu. I.; Panchishkin, A. A.
18
2005
An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128
Hertling, Claus; Manin, Yuri I.; Teleman, Constantin
18
2009
Linear algebra and geometry. Paperback ed. Zbl 0969.15001
Kostrikin, A. I.; Manin, Yu. I.
17
1997
The computable and the non-computable. (Vychislimoe i nevychislimoe). Zbl 0471.03003
Manin, Yu. I.
17
1980
Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. Zbl 0755.15002
Kostrikin, A. I.; Manin, Yu. I.
17
1989
Generalized operads and their inner cohomomorphisms. Zbl 1180.18004
Borisov, Dennis V.; Manin, Yuri I.
16
2008
Algebraic curves over fields with differentiation. Zbl 0151.27601
Manin, Yu. I.
16
1964
\(p\)-adic Hecke series of imaginary quadratic fields. Zbl 0329.12016
Vishik, M. M.; Manin, Yu. I.
16
1976
(Semi)simple exercises in quantum cohomology. Zbl 1077.14082
Bayer, Arend; Manin, Yuri I.
16
2004
Quantum theta functions and Gabor frames for modulation spaces. Zbl 1175.42017
Luef, Franz; Manin, Yuri I.
15
2009
New dimensions in geometry. Zbl 0579.14002
Manin, Yu. I.
15
1985
Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013
Hertling, Claus; Manin, Yuri
15
2004
Elements of supergeometry. Zbl 0736.58004
Voronov, A. A.; Manin, Yu. I.; Penkov, I. B.
15
1988
Higher Bruhat orders connected with the symmetric group. Zbl 0646.20014
Manin, Yu. I.; Shekhtman, V. V.
14
1986
Holomorphic supergeometry and Yang-Mills superfields. Zbl 0591.53071
Manin, Yu. I.
14
1985
Extended modular operad. Zbl 1080.14066
Losev, A.; Manin, Yu.
14
2004
Fuchsian modules. (Moduli fuchsiani.) Zbl 0166.04301
Manin, Yu. I.
13
1965
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015
Mumford, David
13
1985
Notes on the arithmetic of Fano threefolds. Zbl 0780.14022
Manin, Yu. I.
12
1993
Three constructions of Frobenius manifolds: A comparative study. Zbl 0992.53064
Manin, Yu. I.
12
1999
p-adic automorphic functions. Zbl 0375.14007
Manin, Yu. I.
12
1976
The p-torsion of elliptic curves is uniformly bounded. Zbl 0205.25002
Manin, Yu. I.
12
1970
Cyclotomy and analytic geometry over \(\mathbb{F}_1\). Zbl 1231.14018
Manin, Yuri I.
11
2010
A course in mathematical logic for mathematicians. Chapters I–VIII translated from the Russian by Neal Koblitz. With new chapters by Boris Zilber and Yuri I. Manin. 2nd ed. Zbl 1180.03002
Manin, Yu. I.
11
2010
Geometry of information: classical and quantum aspects. Zbl 1481.14001
Combe, Noémie; Manin, Yuri I.; Marcolli, Matilde
2
2022
Bost-Connes systems and \(\mathbb{F}_1\)-structures in Grothendieck rings, spectra, and Nori motives. Zbl 1489.14005
Lieber, Joshua F.; Manin, Yuri I.; Marcolli, Matilde
1
2022
Mathematics as metaphor. Selected essays. Translated from the English by Claire Vajou. With a preface by Freeman J. Dyson. With an afterword by Pierre Lochak. (Les mathématiques comme métaphore. Essais choisis.) Zbl 1521.00003
Manin, Yuri I.
1
2021
Symmetries of genus zero modular operad. Zbl 1468.18020
Combe, Noémie C.; Manin, Yuri I.
1
2021
\(F\)-manifolds and geometry of information. Zbl 1454.53075
Combe, Noémie; Manin, Yuri I.
7
2020
Nori diagrams and persistent homology. Zbl 1464.18002
Manin, Yuri I.; Marcolli, Matilde
3
2020
Mirrors, functoriality, and derived geometry. Zbl 1440.14012
Manin, Yuri I.
2
2020
Monoidal structures on the categories of quadratic data. Zbl 1472.18016
Manin, Yuri I.; Vallette, Bruno
1
2020
Homotopy types and geometries below \(\mathrm{Spec}(\mathbb{Z})\). Zbl 1504.14007
Manin, Yuri I.; Marcolli, Matilde
1
2020
Quantum statistical mechanics of the absolute Galois group. Zbl 1505.11095
Manin, Yuri I.; Marcolli, Matilde
1
2020
Higher structures, quantum groups and genus zero modular operad. Zbl 1444.18014
Manin, Yuri I.
2
2019
Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. Zbl 1430.16001
Manin, Yuri I.
9
2018
Introduction to the theory of schemes. Translated from the Russian by Dimitry Leites. Zbl 1390.14002
Manin, Yuri I.
4
2018
Error-correcting codes and neural networks. Zbl 1392.92016
Manin, Yuri I.
3
2018
Grothendieck-Verdier duality patterns in quantum algebra. Zbl 1386.18027
Manin, Yurii I.
5
2017
Cognition and complexity. Zbl 1388.00014
Manin, Yuri I.
1
2017
Symbolic dynamics, modular curves, and Bianchi IX cosmologies. Zbl 1380.37071
Manin, Yuri; Marcolli, Matilde
8
2016
Semantic spaces. Zbl 1409.68302
Manin, Yuri I.; Marcolli, Matilde
6
2016
Local zeta factors and geometries under \(\operatorname{Spec}\mathbb Z\). Zbl 1417.11081
Manin, Yurii I.
2
2016
Moduli operad over \(\mathbb F_1\). Zbl 1428.18035
Manin, Yuri I.; Marcolli, Matilde
2
2016
Painlevé VI equations in \(p\)-adic time. Zbl 1433.14018
Manin, Yu. I.
1
2016
Neural codes and homotopy types: mathematical models of place field recognition. Zbl 1366.94060
Manin, Yuri I.
7
2015
Arithmetic differential equations of Painlevé VI type. Zbl 1356.14018
Buium, Alexandru; Manin, Yuri I.
7
2015
Kolmogorov complexity and the asymptotic bound for error-correcting codes. Zbl 1318.94116
Manin, Yuri; Marcolli, Matilde
9
2014
Big bang, blowup, and modular curves: algebraic geometry in cosmology. Zbl 1296.85004
Manin, Yuri I.; Marcolli, Matilde
8
2014
Non-commutative generalized Dedekind symbols. Zbl 1355.11034
Manin, Yuri I.
4
2014
Zipf’s law and L. Levin probability distributions. Zbl 1347.03080
Manin, Yuri I.
3
2014
Mathematics, art and civilization. Translated from the American by Jochem Berlemann and Marietta Ehret. (Mathematik, Kunst und Zivilisation.) Zbl 1304.00017
Manin, Yuri I.
1
2014
Forgotten motives: the varieties of scientific experience. Zbl 1308.14004
Manin, Yuri I.
1
2014
Towards motivic quantum cohomology of \(\bar{M}_{0,S}\). Zbl 1288.14041
Manin, Yuri I.; Smirnov, Maxim
1
2014
Numbers as functions. Zbl 1404.12009
Manin, Yu. I.
4
2013
On the derived category of \(\overline {M}_{0,n}\). Zbl 1273.14037
Manin, Yu. I.; Smirnov, M. N.
3
2013
Renormalisation and computation. II: Time cut-off and the halting problem. Zbl 1291.68169
Manin, Yuri I.
9
2012
A computability challenge: asymptotic bounds for error-correcting codes. Zbl 1353.03079
Manin, Yuri I.
5
2012
Combinatorial cubic surfaces and reconstruction theorems. Zbl 1267.14033
Manin, Yuri I.
1
2012
Error-correcting codes and phase transitions. Zbl 1278.94097
Manin, Yuri I.; Marcolli, Matilde
10
2011
Renormalization and computation. I: Motivation and background. Zbl 1277.68077
Manin, Yuri I.
6
2011
Cyclotomy and analytic geometry over \(\mathbb{F}_1\). Zbl 1231.14018
Manin, Yuri I.
11
2010
A course in mathematical logic for mathematicians. Chapters I–VIII translated from the Russian by Neal Koblitz. With new chapters by Boris Zilber and Yuri I. Manin. 2nd ed. Zbl 1180.03002
Manin, Yu. I.
11
2010
Infinities in quantum field theory and in classical computing: renormalization program. Zbl 1286.81141
Manin, Yuri I.
5
2010
Remarks on modular symbols for Maass wave forms. Zbl 1229.11079
Manin, Yuri I.
2
2010
Dynamical numbers. Interplay between dynamical systems and number theory. A special program, May 1–July 31, 2009. International conference, MPI, Bonn, Germany, July 20–24, 2009. Proceedings. Zbl 1205.00087
2
2010
An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128
Hertling, Claus; Manin, Yuri I.; Teleman, Constantin
18
2009
Quantum theta functions and Gabor frames for modulation spaces. Zbl 1175.42017
Luef, Franz; Manin, Yuri I.
15
2009
Stability conditions, wall-crossing and weighted Gromov-Witten invariants. Zbl 1216.14051
Bayer, Arend; Manin, Yu I.
7
2009
Lectures on modular symbols. Zbl 1222.11066
Manin, Yuri I.
2
2009
Truth as value and duty: lessons of mathematics. Zbl 1194.00026
Manin, Yu. I.
1
2009
We do not choose mathematics as our profession, it chooses us: interview with Yuri Manin. Zbl 1178.01044
Gelfand, Mikhail
1
2009
Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001
Mumford, David
76
2008
Generalized operads and their inner cohomomorphisms. Zbl 1180.18004
Borisov, Dennis V.; Manin, Yuri I.
16
2008
Modular shadows and the Lévy-Mellin \(\infty\)-adic transform. Zbl 1228.11144
Manin, Yuri I.; Marcolli, Matilde
5
2008
Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313
Kapranov, Mikhail; Kolyada, Sergiy; Manin, Yuri; Moree, Pieter; Potyagailo, Leonid
1
2008
Mathematics as metaphor. Selected essays of Yuri I. Manin. With foreword by Freeman J. Dyson. Zbl 1172.00003
Manin, Yuri I.
6
2007
The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Reprint of the 1990 edition. Zbl 1105.14003
1
2007
Iterated integrals of modular forms and noncommutative modular symbols. Zbl 1184.11019
Manin, Yuri I.
34
2006
The notion of dimension in geometry and algebra. Zbl 1096.14001
Manin, Yuri I.
11
2006
Manifolds with multiplication on the tangent sheaf. Zbl 1098.14044
Manin, Yuri I.
3
2006
\(F\)-manifolds with flat structure and Dubrovin’s duality. Zbl 1085.14023
Manin, Yuri I.
30
2005
Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002
Manin, Yu. I.; Panchishkin, A. A.
18
2005
Iterated Shimura integrals. Zbl 1215.11052
Manin, Yuri I.
10
2005
Arithmetic noncommutative geometry. With a foreword by Yuri Manin. Zbl 1081.58005
Marcolli, Matilde
7
2005
Rational curves, elliptic curves, and the Painlevé equation. Zbl 1080.14062
Manin, Yu. I.
2
2005
Algebraic and topological dynamics. Proceedings of the conference, Bonn, Germany, May 1–July 31, 2004. Zbl 1075.37001
2
2005
Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063
Goncharov, A. B.; Manin, Yu. I.
41
2004
Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022
Manin, Yu. I.
26
2004
(Semi)simple exercises in quantum cohomology. Zbl 1077.14082
Bayer, Arend; Manin, Yuri I.
16
2004
Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013
Hertling, Claus; Manin, Yuri
15
2004
Extended modular operad. Zbl 1080.14066
Losev, A.; Manin, Yu.
14
2004
Moduli stacks \(\overline L_{g,S}\). Zbl 1082.14057
Manin, Yuri
5
2004
Functional equations for quantum theta functions. Zbl 1078.53099
Manin, Yuri I.
5
2004
Georg Cantor and his heritage. Zbl 1106.03302
Manin, Yu. I.
2
2004
Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001
Gelfand, S. I.; Manin, Yu. I.
177
2003
Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033
Manin, Y. I.; Marcolli, M.
24
2002
Modules and Morita theorem for operads. Zbl 1001.18004
Kapranov, M.; Manin, Yu.
31
2001
Holography principle and arithmetic of algebraic curves. Zbl 1042.14006
Manin, Yuri I.; Marcolli, Matilde
19
2001
Theta functions, quantum tori and Heisenberg groups. Zbl 1081.14501
Manin, Yuri I.
5
2001
Mirror symmetry and quantization of abelian varieties. Zbl 1079.14532
Manin, Yu. I.
4
2001
Composition of points and the Mordell-Weil problem for cubic surfaces. Zbl 1077.14525
Kanevsky, Dimitri; Manin, Yuri
2
2001
Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516
Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L.
1
2001
Moduli, motives, mirrors. Zbl 1099.14506
Manin, Yuri I.
1
2001
New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536
Losev, A.; Manin, Y.
65
2000
Invertible cohomological field theories and Weil-Petersson volumes. Zbl 1001.14008
Manin, Yuri I.; Zograf, Peter
21
2000
Classical computing, quantum computing and Shor’s factoring algorithm. Zbl 1005.81014
Manin, Yuri I.
5
2000
Three constructions of Frobenius manifolds: a comparative study. Zbl 1047.53500
Manin, Yu. I.
5
2000
Frobenius manifolds, quantum cohomology, and moduli spaces. Zbl 0952.14032
Manin, Yuri I.
149
1999
Weak Frobenius manifolds. Zbl 0960.58003
Hertling, C.; Manin, Yu.
60
1999
Three constructions of Frobenius manifolds: A comparative study. Zbl 0992.53064
Manin, Yu. I.
12
1999
The mathematical work of the 1998 Fields Medalists. Zbl 1194.01107
Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John
1
1999
Sixth Painlevé equation, universal elliptic curve, and mirror of \(\mathbb{P}^2\). Zbl 0948.14025
Manin, Yu. I.
39
1998
Relations between the correlators of the topological sigma-model coupled to gravity. Zbl 0946.14032
Kontsevich, M.; Manin, Yu.
27
1998
Interrelations between mathematics and physics. Zbl 1044.01528
Manin, Yu. I.
3
1998
Stable maps of genus zero to flag spaces. Zbl 0987.14033
Manin, Yuri I.
2
1998
Automorphic pseudodifferential operators. Zbl 1055.11514
Cohen, Paula Beazley; Manin, Yuri; Zagier, Don
65
1997
Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. With an appendix by S. Merkulov. 2nd ed. Zbl 0884.53002
Manin, Yuri I.
49
1997
Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0931.14030
Kontsevich, M.; Manin, Yu.
25
1997
Linear algebra and geometry. Paperback ed. Zbl 0969.15001
Kostrikin, A. I.; Manin, Yu. I.
17
1997
Semisimple Frobenius (super)manifolds and quantum cohomology of \(\mathbb{P}^r\). Zbl 0908.53011
Manin, Yu. I.; Merkulov, S. A.
4
1997
Mordell-Weil problem for cubic surfaces. Zbl 1053.14508
Manin, Yu. I.
3
1997
Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001
Gelfand, S. I.; Manin, Yu. I.
93
1996
Stacks of stable maps and Gromov-Witten invariants. Zbl 0872.14019
Behrend, K.; Manin, Yu.
80
1996
...and 154 more Documents
all top 5

Cited by 4,498 Authors

58 Manin, Yuriĭ Ivanovich
49 Marcolli, Matilde
28 Kupershmidt, Boris A.
27 Browning, Timothy Daniel
23 Çelik, Salih
20 Fioresi, Rita
20 Pukhlikov, Aleksandr Valentinovich
19 Buryak, Alexandr Y.
19 Choie, YoungJu
18 Kurokawa, Nobushige
18 Tschinkel, Yuri
16 Derenthal, Ulrich
16 Lee, Minho
16 Shadrin, Sergey V.
15 Colliot-Thélène, Jean-Louis
15 Jahnel, Jörg
15 Leites, Dimitry A.
15 Li, Chuanzhong
14 Elsenhans, Andreas-Stephan
13 Merkulov, Sergei A.
13 Zagier, Don Bernard
12 Kapranov, Mikhail M.
12 Prokhorov, Yuriĭ Gennad’evich
12 Rossi, Paolo
12 Tanimoto, Sho
12 Voronov, Alexander A.
11 Bruzzo, Ugo
11 Buium, Alexandru
11 Cheltsov, Ivan Anatol’evich
11 Connes, Alain
11 Lorenzoni, Paolo
11 Majid, Shahn
11 Nekrasov, Nikita Alexandrovich
11 Norbury, Paul T.
11 Panchishkin, Alexei A.
11 Skorobogatov, Alexei Nikolaïevitch
11 Zinger, Aleksey
10 Bouarroudj, Sofiane
10 Çelik, Sultan Abaci
10 Hoshi, Akinari
10 Iritani, Hiroshi
10 Jardim, Marcos
10 Kang, Ming-Chang
10 Lorscheid, Oliver
10 Pandharipande, Rahul
10 Polishchuk, Alexander Evgen’evich
10 Serganova, Vera V.
9 Berger, Roland
9 Bruce, Andrew James
9 Coates, Tom
9 de la Bretèche, Régis
9 Guo, Li
9 Mazur, Barry
9 Noja, Simone
9 Phùng Hô‘ Hài
9 Tabuada, Gonçalo
9 Várilly-Alvarado, Anthony
9 Vavilov, Nikolaĭ Aleksandrovich
9 Wolf, Martin
9 Woodward, Christopher T.
9 Yang, Di
9 Zhang, Ruibin
8 Biswas, Indranil
8 Bloch, Spencer J.
8 Borovoi, Mikhail V.
8 Dubrovin, Boris Anatol’evich
8 Gateva-Ivanova, Tatiana
8 Hertling, Claus
8 Joyce, Dominic David
8 Kaufmann, Ralph M.
8 Kresch, Andrew
8 Landi, Giovanni
8 Lehmann, Brian
8 Loughran, Daniel
8 Nikolaev, Igor Vasilievich
8 Popov, Alexander D.
8 Rabin, Jeffrey M.
8 Ruan, Yongbin
8 Sämann, Christian
8 Sather-Wagstaff, Keri
8 Schechtman, Vadim
8 Tseng, Hsian-Hua
8 Varchenko, Alexander Nikolaevich
8 Yau, Shing-Tung
7 Arsie, Alessandro
7 Brown, Francis C. S.
7 Chung, Won-Sang
7 Conley, Charles H.
7 Consani, Caterina
7 Cotti, Giordano
7 Danilov, Vladimir I.
7 Diamantis, Nikolaos
7 Dubois-Violette, Michel
7 Duhr, Claude
7 Falqui, Gregorio
7 Gao, Yun
7 Guha, Partha
7 Ichikawa, Takashi
7 Iskovskikh, Vasiliĭ Alekseevich
7 Karzanov, Aleksandr V.
...and 4,398 more Authors
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Cited in 447 Serials

209 Communications in Mathematical Physics
185 Journal of Algebra
162 Journal of Mathematical Physics
157 Journal of Geometry and Physics
146 Advances in Mathematics
139 Journal of High Energy Physics
104 Letters in Mathematical Physics
103 Journal of Number Theory
100 Duke Mathematical Journal
95 Journal of Pure and Applied Algebra
91 Inventiones Mathematicae
90 Transactions of the American Mathematical Society
80 Mathematische Annalen
74 Compositio Mathematica
68 Theoretical and Mathematical Physics
66 Journal of Mathematical Sciences (New York)
64 Mathematische Zeitschrift
56 Nuclear Physics. B
55 Manuscripta Mathematica
52 Annales de l’Institut Fourier
50 Proceedings of the American Mathematical Society
49 Functional Analysis and its Applications
49 Journal of Soviet Mathematics
48 Communications in Algebra
41 Journal de Théorie des Nombres de Bordeaux
39 Journal of Algebraic Geometry
36 Journal für die Reine und Angewandte Mathematik
35 Mathematical Notes
34 Journal of the American Mathematical Society
32 Proceedings of the Japan Academy. Series A
31 International Journal of Theoretical Physics
30 Selecta Mathematica. New Series
30 International Journal of Geometric Methods in Modern Physics
28 International Journal of Modern Physics A
27 Israel Journal of Mathematics
27 Geometry & Topology
26 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
26 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
26 Journal of Noncommutative Geometry
26 Journal of Physics A: Mathematical and Theoretical
25 Mathematical Proceedings of the Cambridge Philosophical Society
23 International Journal of Mathematics
23 The Ramanujan Journal
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Bulletin de la Société Mathématique de France
21 Algebras and Representation Theory
21 Annals of Mathematics. Second Series
21 European Journal of Mathematics
19 Mathematics of Computation
19 Journal of the London Mathematical Society. Second Series
19 Bulletin of the American Mathematical Society. New Series
19 Journal of Algebra and its Applications
19 Proceedings of the Steklov Institute of Mathematics
19 Forum of Mathematics, Sigma
18 Journal of Nonlinear Mathematical Physics
18 International Journal of Number Theory
17 Advances in Applied Mathematics
17 Differential Geometry and its Applications
17 Algebra & Number Theory
16 Michigan Mathematical Journal
16 Nagoya Mathematical Journal
16 Physica D
15 Physics Letters. B
15 Archiv der Mathematik
15 Tôhoku Mathematical Journal. Second Series
15 Journal of Symbolic Computation
15 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 Acta Mathematica Sinica. English Series
14 Science China. Mathematics
14 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
13 Journal of Mathematical Analysis and Applications
13 Bulletin of the London Mathematical Society
13 Publications Mathématiques
13 Memoirs of the American Mathematical Society
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Acta Applicandae Mathematicae
13 Finite Fields and their Applications
13 Central European Journal of Mathematics
13 Research in the Mathematical Sciences
13 Research in Number Theory
12 Reports on Mathematical Physics
12 Geometriae Dedicata
12 Proceedings of the London Mathematical Society. Third Series
12 Rendiconti del Seminario Matematico della Università di Padova
12 Documenta Mathematica
12 Transformation Groups
12 Algebraic & Geometric Topology
11 Modern Physics Letters A
11 Physics Letters. A
11 Forum Mathematicum
11 Indagationes Mathematicae. New Series
11 Journal of Algebraic Combinatorics
11 Applied Categorical Structures
11 Advances in Applied Clifford Algebras
10 Russian Mathematical Surveys
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Mathematische Nachrichten
10 Geometric and Functional Analysis. GAFA
10 Izvestiya: Mathematics
10 Frontiers of Mathematics in China
...and 347 more Serials
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Cited in 61 Fields

2,059 Algebraic geometry (14-XX)
984 Number theory (11-XX)
951 Quantum theory (81-XX)
628 Nonassociative rings and algebras (17-XX)
558 Differential geometry (53-XX)
508 Associative rings and algebras (16-XX)
469 Global analysis, analysis on manifolds (58-XX)
339 Dynamical systems and ergodic theory (37-XX)
313 Category theory; homological algebra (18-XX)
288 Partial differential equations (35-XX)
278 Several complex variables and analytic spaces (32-XX)
252 Group theory and generalizations (20-XX)
175 Functional analysis (46-XX)
146 Relativity and gravitational theory (83-XX)
144 Commutative algebra (13-XX)
133 Algebraic topology (55-XX)
133 Manifolds and cell complexes (57-XX)
124 Combinatorics (05-XX)
99 Topological groups, Lie groups (22-XX)
83 Ordinary differential equations (34-XX)
76 Linear and multilinear algebra; matrix theory (15-XX)
74 Field theory and polynomials (12-XX)
70 Special functions (33-XX)
69 Convex and discrete geometry (52-XX)
63 Computer science (68-XX)
62 Mechanics of particles and systems (70-XX)
59 Mathematical logic and foundations (03-XX)
54 \(K\)-theory (19-XX)
54 Functions of a complex variable (30-XX)
52 Statistical mechanics, structure of matter (82-XX)
45 Information and communication theory, circuits (94-XX)
39 Operator theory (47-XX)
31 Fluid mechanics (76-XX)
30 History and biography (01-XX)
29 Geometry (51-XX)
26 General and overarching topics; collections (00-XX)
24 Order, lattices, ordered algebraic structures (06-XX)
24 Probability theory and stochastic processes (60-XX)
22 Numerical analysis (65-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
16 Abstract harmonic analysis (43-XX)
14 Difference and functional equations (39-XX)
11 Measure and integration (28-XX)
10 General topology (54-XX)
10 Biology and other natural sciences (92-XX)
9 Statistics (62-XX)
8 Operations research, mathematical programming (90-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Systems theory; control (93-XX)
5 General algebraic systems (08-XX)
5 Real functions (26-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Optics, electromagnetic theory (78-XX)
4 Potential theory (31-XX)
3 Sequences, series, summability (40-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of deformable solids (74-XX)
3 Astronomy and astrophysics (85-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
1 Mathematics education (97-XX)

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