Edit Profile (opens in new tab) Manin, Yuriĭ Ivanovich (b. 1937 d. 2023) Co-Author Distance Author ID: manin.yurii-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. more...less 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 Documents Indexed: 332 Publications since 1956, including 38 Books 16 Contributions as Editor · 7 Further Contributions Biographic References: 17 Publications Co-Authors: 152 Co-Authors with 148 Joint Publications 4,677 Co-Co-Authors all top 5 Co-Authors 192 single-authored 20 Marcolli, Matilde 12 Drinfeld, Vladimir Gershonovich 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 Combe, Noemie C. 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 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 Maximovich 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 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 1 Feĭgin, Boris L’vovich 1 Frolov, I. V. ...and 104 more Co-Authors all top 5 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 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 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 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 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 all top 5 Fields 174 Algebraic geometry (14-XX) 76 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) 27 Category theory; homological algebra (18-XX) 23 Mathematical logic and foundations (03-XX) 20 Nonassociative rings and algebras (17-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Relativity and gravitational theory (83-XX) 15 Associative rings and algebras (16-XX) 15 Partial differential equations (35-XX) 14 Group theory and generalizations (20-XX) 14 Computer science (68-XX) 14 Information and communication theory, circuits (94-XX) 13 Functional analysis (46-XX) 12 Algebraic topology (55-XX) 8 Topological groups, Lie groups (22-XX) 8 Geometry (51-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Commutative algebra (13-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Order, lattices, ordered algebraic structures (06-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 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 250 Publications have been cited 5,550 times in 4,478 Documents Cited by ▼ Year ▼ Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 374 1978 Quantum groups and non-commutative geometry. Zbl 0724.17006Manin, Yu. I. 330 1988 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0853.14020Kontsevich, M.; Manin, Yu. 271 1994 A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy. Zbl 0607.35075Manin, Yu. I.; Radul, A. O. 170 1985 Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001Gelfand, S. I.; Manin, Yu. I. 163 2003 Multiparametric quantum deformation of the general linear supergroup. Zbl 0673.16004Manin, Yu. I. 148 1989 Frobenius manifolds, quantum cohomology, and moduli spaces. Zbl 0952.14032Manin, Yuri I. 144 1999 Cubic forms. Algebra, geometry, arithmetic. Transl. from the Russian by M. Hazewinkel. 2nd ed. Zbl 0582.14010Manin, Yu. I. 134 1986 Rational points of bounded height on Fano varieties. Zbl 0674.14012Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri 132 1989 Parabolic points and zeta-functions of modular curves. (Parabolische Punkte und Zeta-Funktionen modularer Kurven.) Zbl 0243.14008Manin, Yu. I. 111 1972 Cubic forms. Algebra, geometry, arithmetic. Translated from Russian by M. Hazewinkel. Zbl 0277.14014Manin, Yu. I. 109 1974 Topics in noncommutative geometry. Zbl 0724.17007Manin, Yuri I. 105 1991 The theory of commutative formal groups over fields of finite characteristic. Zbl 0128.15603Manin, Yu. I. 99 1963 Some remarks on Koszul algebras and quantum groups. Zbl 0625.58040Manin, Yu. I. 93 1987 Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001Gelfand, S. I.; Manin, Yu. I. 93 1996 Correspondences, motifs and monoidal transformations. Zbl 0199.24803Manin, Yu. I. 86 1968 Algebraic aspects of nonlinear differential equations. Zbl 0419.35001Manin, Yu. I. 82 1979 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 0679.14008Batyrev, V. V.; Manin, Yu. I. 80 1990 Stacks of stable maps and Gromov-Witten invariants. Zbl 0872.14019Behrend, K.; Manin, Yu. 78 1996 Three -dimensional quartics and counterexamples to the Lueroth problem. Zbl 0222.14009Iskovskikh, V. A.; Manin, Yu. I. 71 1971 Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. Zbl 0641.53001Manin, Yuri I. 69 1988 Lecture on zeta functions and motives (according to Deninger and Kurokawa). Zbl 0840.14001Manin, Yuri 65 1995 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001Mumford, David 64 2008 Automorphic pseudodifferential operators. Zbl 1055.11514Cohen, Paula Beazley; Manin, Yuri; Zagier, Don 64 1997 New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536Losev, A.; Manin, Y. 63 2000 Arrangements of hyperplanes, higher braid groups and higher Bruhat orders. Zbl 0759.20002Manin, Yu. I.; Shekhtman, V. V. 61 1989 Cubic forms: algebra, geometry, arithmetic. (Кубицеские формы: алгебра, геометрия, арифметика.) Zbl 0255.14002Manin, Yu. I. 60 1972 Periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14008Manin, Yu. I. 57 1975 Gauge fields and complex geometry. (Kalibrovochnye polya i kompleksnaya geometriya). Zbl 0576.53002Manin, Yu. I. 56 1984 Weak Frobenius manifolds. Zbl 0960.58003Hertling, C.; Manin, Yu. 55 1999 The periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14007Manin, Yu. I. 47 1973 Rational surfaces over perfect fields. Zbl 0171.41701Manin, Yu. I. 43 1966 The Mumford form and the Polyakov measure in string theory. Zbl 0604.14016Bejlinson, A. A.; Manin, Yu. I. 41 1986 Parabolic points and zeta-functions of modular curves. Zbl 0248.14010Manin, Yu. I. 41 1973 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063Goncharov, A. B.; Manin, Yu. I. 40 2004 Cyclotomic fields and modular curves. Zbl 0266.14012Manin, Yu. I. 40 1972 Algebraic surfaces. Zbl 0154.21001Shafarevich, 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 Le groupe de Brauer-Grothendieck en géométrie diophantienne. Zbl 0239.14010Manin, Yu. I. 37 1971 Sixth Painlevé equation, universal elliptic curve, and mirror of \(\mathbb{P}^2\). Zbl 0948.14025Manin, Yu. I. 35 1998 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 0884.53002Manin, Yuri I. 35 1997 The Hasse-Witt matrix of an algebraic curve. Zbl 0148.28002Manin, Yu. I. 35 1965 Equations of long waves with a free surface. II: Hamiltonian structure and higher equations. Zbl 0405.58049Kupershmidt, B. A.; Manin, Yu. I. 34 1978 Non-Archimedean integration and Jacquet-Langlands p-adic l-functions. Zbl 0348.12016Manin, Yu. I. 31 1976 Iterated integrals of modular forms and noncommutative modular symbols. Zbl 1184.11019Manin, Yuri I. 31 2006 Three-dimensional quartics and counterexamples to the Lüroth problem. Zbl 0249.14001Iskovskikh, V. A.; Manin, Yu. I. 31 1972 A course in mathematical logic. Translated from the Russian by Neal Koblitz. Zbl 0383.03002Manin, Yu. I. 30 1977 Rational varieties: Algebra, geometry and arithmetic. Zbl 0621.14029Manin, Yu. I.; Tsfasman, M. A. 29 1986 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 29 2001 Periods of p-adic Schottky groups. Zbl 0275.14017Manin, Yu. I.; Drinfeld, V. 29 1973 Three-dimensional hyperbolic geometry as \(\infty\)-adic Arakelov geometry. Zbl 0754.14014Manin, Yu. I. 28 1991 \(F\)-manifolds with flat structure and Dubrovin’s duality. Zbl 1085.14023Manin, Yuri I. 27 2005 Rational points of algebraic curves over function fields. (Rationale Punkte von algebraischen Kurven über Funktionenkörpern.) Zbl 0166.16901Manin, Yu. I. 27 1963 Non-standard quantum deformations of \(\text{GL}(n)\) and constant solutions of the Yang-Baxter equation. Zbl 0784.17017Demidov, E. E.; Manin, Yu. I.; Mukhin, E. E.; Zhdanovich, D. V. 26 1990 What is the maximum number of points on a curve over \(F^ 2\)? Zbl 0527.14021Manin, Yu. I. 26 1981 Homological Algebra. Zbl 0787.18008Gelfand, S. I.; Manin, Yu. I. 25 1989 Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022Manin, Yu. I. 25 2004 Relations between the correlators of the topological sigma-model coupled to gravity. Zbl 0946.14032Kontsevich, M.; Manin, Yu. 25 1998 Quantum cohomology of a product (with appendix by R. Kaufmann). Zbl 0853.14021Kontsevich, M.; Manin, Yu. 25 1996 Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011Kaufmann, R.; Manin, Yu.; Zagier, D. 25 1996 Rational surfaces over perfect fields. II. Zbl 0182.23701Manin, Yu. I. 25 1968 Notes on quantum groups and quantum de Rham complexes. Zbl 0810.17003Manin, Yu. I. 24 1992 A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings. Zbl 0624.58033Baranov, A. M.; Manin, Yu. I.; Frolov, I. V.; Schwarz, A. S. 24 1987 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0931.14030Kontsevich, M.; Manin, Yu. 24 1997 Generating functions in algebraic geometry and sums over trees. Zbl 0871.14022Manin, Yu. I. 24 1995 Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033Manin, Y. I.; Marcolli, M. 23 2002 Rational points of algebraic curves over function fields. Zbl 0178.55102Manin, Yu. I. 22 1963 Linear codes and modular curves. Zbl 0629.94013Vlèduts, S. G.; Manin, Yu. I. 21 1985 Uniformly bounded \(p\)-torsion of elliptic curves. (Gleichmäßig beschränkte \(p\)-Drehung elliptischer Kurven.) Zbl 0191.19601Manin, Yu. I. 21 1969 Long-wave equation with free boundaries. I. Conservation laws and solution. Zbl 0419.35075Kupershmidt, B. A.; Manin, Yu. I. 20 1978 Invertible cohomological field theories and Weil-Petersson volumes. Zbl 1001.14008Manin, Yuri I.; Zograf, Peter 20 2000 Holography principle and arithmetic of algebraic curves. Zbl 1042.14006Manin, Yuri I.; Marcolli, Matilde 19 2001 A description of instantons. Zbl 0407.22017Drinfeld, V. G.; Manin, Yu. I. 19 1978 Lectures on the K-functor in algebraic geometry. Zbl 0204.21302Manin, Yu. I. 19 1969 Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves. Zbl 0639.14015Manin, Yu. I. 18 1986 On the Hasse-Witt matrix of an algebraic curve. (Über die Hasse-Wittsche Matrix einer algebraischen Kurve.) Zbl 0102.27802Manin, Yu. I. 18 1961 The Tate height of points on an abelian variety, its variants and applications. Zbl 0192.26801Manin, Yu. I. 18 1964 An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128Hertling, Claus; Manin, Yuri I.; Teleman, Constantin 17 2009 Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. Zbl 0755.15002Kostrikin, A. I.; Manin, Yu. I. 16 1989 Linear algebra and geometry. Paperback ed. Zbl 0969.15001Kostrikin, A. I.; Manin, Yu. I. 16 1997 \(p\)-adic Hecke series of imaginary quadratic fields. Zbl 0329.12016Vishik, M. M.; Manin, Yu. I. 16 1976 Algebraic curves over fields with differentiation. Zbl 0151.27601Manin, Yu. I. 16 1964 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082Bayer, Arend; Manin, Yuri I. 15 2004 Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002Manin, Yu. I.; Panchishkin, A. A. 15 2005 Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013Hertling, Claus; Manin, Yuri 15 2004 Quantum theta functions and Gabor frames for modulation spaces. Zbl 1175.42017Luef, Franz; Manin, Yuri I. 15 2009 Higher Bruhat orders connected with the symmetric group. Zbl 0646.20014Manin, Yu. I.; Shekhtman, V. V. 14 1986 New dimensions in geometry. Zbl 0579.14002Manin, Yu. I. 14 1985 Elements of supergeometry. Zbl 0736.58004Voronov, A. A.; Manin, Yu. I.; Penkov, I. B. 13 1988 Holomorphic supergeometry and Yang-Mills superfields. Zbl 0591.53071Manin, Yu. I. 13 1985 Generalized operads and their inner cohomomorphisms. Zbl 1180.18004Borisov, Dennis V.; Manin, Yuri I. 13 2008 p-adic automorphic functions. Zbl 0375.14007Manin, Yu. I. 12 1976 Extended modular operad. Zbl 1080.14066Losev, A.; Manin, Yu. 12 2004 Fuchsian modules. (Moduli fuchsiani.) Zbl 0166.04301Manin, Yu. I. 12 1965 The p-torsion of elliptic curves is uniformly bounded. Zbl 0205.25002Manin, Yu. I. 12 1970 Gleichungen langer Wellen mit freier Oberfläche. I: Erhaltungssätze und Lösungen. Zbl 0364.35043Kupershmidt, B. A.; Manin, Yu. I. 11 1977 Gel’fand-Dikii Hamiltonian operator and the coadjoint representation of the Volterra group. Zbl 0455.58012Lebedev, D. R.; Manin, Yu. I. 11 1980 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015Mumford, David 11 1985 The notion of dimension in geometry and algebra. Zbl 1096.14001Manin, Yuri I. 11 2006 Three constructions of Frobenius manifolds: A comparative study. Zbl 0992.53064Manin, Yu. I. 11 1999 Error-correcting codes and phase transitions. Zbl 1278.94097Manin, Yuri I.; Marcolli, Matilde 10 2011 Geometry of information: classical and quantum aspects. Zbl 1481.14001Combe, Noémie; Manin, Yuri I.; Marcolli, Matilde 2 2022 Bost-Connes systems and \(\mathbb{F}_1\)-structures in Grothendieck rings, spectra, and Nori motives. Zbl 1489.14005Lieber, Joshua F.; Manin, Yuri I.; Marcolli, Matilde 1 2022 Symmetries of genus zero modular operad. Zbl 1468.18020Combe, Noémie C.; Manin, Yuri I. 1 2021 \(F\)-manifolds and geometry of information. Zbl 1454.53075Combe, Noémie; Manin, Yuri I. 4 2020 Nori diagrams and persistent homology. Zbl 1464.18002Manin, Yuri I.; Marcolli, Matilde 2 2020 Mirrors, functoriality, and derived geometry. Zbl 1440.14012Manin, Yuri I. 2 2020 Homotopy types and geometries below \(\mathrm{Spec}(\mathbb{Z})\). Zbl 1504.14007Manin, Yuri I.; Marcolli, Matilde 1 2020 Monoidal structures on the categories of quadratic data. Zbl 1472.18016Manin, Yuri I.; Vallette, Bruno 1 2020 Higher structures, quantum groups and genus zero modular operad. Zbl 1444.18014Manin, Yuri I. 2 2019 Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. Zbl 1430.16001Manin, Yuri I. 5 2018 Error-correcting codes and neural networks. Zbl 1392.92016Manin, Yuri I. 3 2018 Introduction to the theory of schemes. Translated from the Russian by Dimitry Leites. Zbl 1390.14002Manin, Yuri I. 2 2018 Grothendieck-Verdier duality patterns in quantum algebra. Zbl 1386.18027Manin, Yurii I. 5 2017 Cognition and complexity. Zbl 1388.00014Manin, Yuri I. 1 2017 Symbolic dynamics, modular curves, and Bianchi IX cosmologies. Zbl 1380.37071Manin, Yuri; Marcolli, Matilde 8 2016 Semantic spaces. Zbl 1409.68302Manin, Yuri I.; Marcolli, Matilde 6 2016 Local zeta factors and geometries under \(\operatorname{Spec}\mathbb Z\). Zbl 1417.11081Manin, Yurii I. 2 2016 Moduli operad over \(\mathbb F_1\). Zbl 1428.18035Manin, Yuri I.; Marcolli, Matilde 1 2016 Painlevé VI equations in \(p\)-adic time. Zbl 1433.14018Manin, Yu. I. 1 2016 Neural codes and homotopy types: mathematical models of place field recognition. Zbl 1366.94060Manin, Yuri I. 7 2015 Arithmetic differential equations of Painlevé VI type. Zbl 1356.14018Buium, Alexandru; Manin, Yuri I. 5 2015 Kolmogorov complexity and the asymptotic bound for error-correcting codes. Zbl 1318.94116Manin, Yuri; Marcolli, Matilde 9 2014 Big bang, blowup, and modular curves: algebraic geometry in cosmology. Zbl 1296.85004Manin, Yuri I.; Marcolli, Matilde 8 2014 Non-commutative generalized Dedekind symbols. Zbl 1355.11034Manin, Yuri I. 4 2014 Zipf’s law and L. Levin probability distributions. Zbl 1347.03080Manin, Yuri I. 3 2014 Towards motivic quantum cohomology of \(\bar{M}_{0,S}\). Zbl 1288.14041Manin, Yuri I.; Smirnov, Maxim 1 2014 Forgotten motives: the varieties of scientific experience. Zbl 1308.14004Manin, Yuri I. 1 2014 Mathematics, art and civilization. Translated from the American by Jochem Berlemann and Marietta Ehret. (Mathematik, Kunst und Zivilisation.) Zbl 1304.00017Manin, Yuri I. 1 2014 Numbers as functions. Zbl 1404.12009Manin, Yu. I. 3 2013 On the derived category of \(\overline {M}_{0,n}\). Zbl 1273.14037Manin, Yu. I.; Smirnov, M. N. 2 2013 Renormalisation and computation. II: Time cut-off and the halting problem. Zbl 1291.68169Manin, Yuri I. 8 2012 A computability challenge: asymptotic bounds for error-correcting codes. Zbl 1353.03079Manin, Yuri I. 5 2012 Combinatorial cubic surfaces and reconstruction theorems. Zbl 1267.14033Manin, Yuri I. 1 2012 Error-correcting codes and phase transitions. Zbl 1278.94097Manin, Yuri I.; Marcolli, Matilde 10 2011 Renormalization and computation. I: Motivation and background. Zbl 1277.68077Manin, Yuri I. 5 2011 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 1180.03002Manin, Yu. I. 10 2010 Cyclotomy and analytic geometry over \(\mathbb{F}_1\). Zbl 1231.14018Manin, Yuri I. 10 2010 Infinities in quantum field theory and in classical computing: renormalization program. Zbl 1286.81141Manin, Yuri I. 5 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 Remarks on modular symbols for Maass wave forms. Zbl 1229.11079Manin, Yuri I. 2 2010 An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128Hertling, Claus; Manin, Yuri I.; Teleman, Constantin 17 2009 Quantum theta functions and Gabor frames for modulation spaces. Zbl 1175.42017Luef, Franz; Manin, Yuri I. 15 2009 Stability conditions, wall-crossing and weighted Gromov-Witten invariants. Zbl 1216.14051Bayer, Arend; Manin, Yu I. 6 2009 Lectures on modular symbols. Zbl 1222.11066Manin, Yuri I. 2 2009 We do not choose mathematics as our profession, it chooses us: interview with Yuri Manin. Zbl 1178.01044Gelfand, Mikhail 1 2009 Truth as value and duty: lessons of mathematics. Zbl 1194.00026Manin, Yu. I. 1 2009 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001Mumford, David 64 2008 Generalized operads and their inner cohomomorphisms. Zbl 1180.18004Borisov, Dennis V.; Manin, Yuri I. 13 2008 Modular shadows and the Lévy-Mellin \(\infty\)-adic transform. Zbl 1228.11144Manin, Yuri I.; Marcolli, Matilde 5 2008 Preface [to the International Conference “Geometry and Dynamics of Groups and Spaces. In Memory of Alexander Reznikov”]. Zbl 1134.01313Kapranov, 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 1172.00003Manin, Yuri I. 5 2007 Iterated integrals of modular forms and noncommutative modular symbols. Zbl 1184.11019Manin, Yuri I. 31 2006 The notion of dimension in geometry and algebra. Zbl 1096.14001Manin, Yuri I. 11 2006 Manifolds with multiplication on the tangent sheaf. Zbl 1098.14044Manin, Yuri I. 3 2006 \(F\)-manifolds with flat structure and Dubrovin’s duality. Zbl 1085.14023Manin, Yuri I. 27 2005 Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian. 2nd revised ed. Zbl 1079.11002Manin, Yu. I.; Panchishkin, A. A. 15 2005 Iterated Shimura integrals. Zbl 1215.11052Manin, Yuri I. 9 2005 Arithmetic noncommutative geometry. With a foreword by Yuri Manin. Zbl 1081.58005Marcolli, Matilde 7 2005 Rational curves, elliptic curves, and the Painlevé equation. Zbl 1080.14062Manin, 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 1047.11063Goncharov, A. B.; Manin, Yu. I. 40 2004 Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022Manin, Yu. I. 25 2004 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082Bayer, Arend; Manin, Yuri I. 15 2004 Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013Hertling, Claus; Manin, Yuri 15 2004 Extended modular operad. Zbl 1080.14066Losev, A.; Manin, Yu. 12 2004 Functional equations for quantum theta functions. Zbl 1078.53099Manin, Yuri I. 5 2004 Moduli stacks \(\overline L_{g,S}\). Zbl 1082.14057Manin, Yuri 4 2004 Georg Cantor and his heritage. Zbl 1106.03302Manin, Yu. I. 2 2004 Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001Gelfand, S. I.; Manin, Yu. I. 163 2003 Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033Manin, Y. I.; Marcolli, M. 23 2002 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 29 2001 Holography principle and arithmetic of algebraic curves. Zbl 1042.14006Manin, Yuri I.; Marcolli, Matilde 19 2001 Theta functions, quantum tori and Heisenberg groups. Zbl 1081.14501Manin, Yuri I. 5 2001 Mirror symmetry and quantization of abelian varieties. Zbl 1079.14532Manin, Yu. I. 4 2001 Composition of points and the Mordell-Weil problem for cubic surfaces. Zbl 1077.14525Kanevsky, Dimitri; Manin, Yuri 2 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516Vinberg, 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 1099.14506Manin, Yuri I. 1 2001 New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536Losev, A.; Manin, Y. 63 2000 Invertible cohomological field theories and Weil-Petersson volumes. Zbl 1001.14008Manin, Yuri I.; Zograf, Peter 20 2000 Three constructions of Frobenius manifolds: a comparative study. Zbl 1047.53500Manin, Yu. I. 5 2000 Classical computing, quantum computing and Shor’s factoring algorithm. Zbl 1005.81014Manin, Yuri I. 5 2000 Frobenius manifolds, quantum cohomology, and moduli spaces. Zbl 0952.14032Manin, Yuri I. 144 1999 Weak Frobenius manifolds. Zbl 0960.58003Hertling, C.; Manin, Yu. 55 1999 Three constructions of Frobenius manifolds: A comparative study. Zbl 0992.53064Manin, Yu. I. 11 1999 The mathematical work of the 1998 Fields Medalists. Zbl 1194.01107Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John 1 1999 Sixth Painlevé equation, universal elliptic curve, and mirror of \(\mathbb{P}^2\). Zbl 0948.14025Manin, Yu. I. 35 1998 Relations between the correlators of the topological sigma-model coupled to gravity. Zbl 0946.14032Kontsevich, M.; Manin, Yu. 25 1998 Interrelations between mathematics and physics. Zbl 1044.01528Manin, Yu. I. 3 1998 Stable maps of genus zero to flag spaces. Zbl 0987.14033Manin, Yuri I. 2 1998 Automorphic pseudodifferential operators. Zbl 1055.11514Cohen, Paula Beazley; Manin, Yuri; Zagier, Don 64 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 0884.53002Manin, Yuri I. 35 1997 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0931.14030Kontsevich, M.; Manin, Yu. 24 1997 Linear algebra and geometry. Paperback ed. Zbl 0969.15001Kostrikin, A. I.; Manin, Yu. I. 16 1997 Semisimple Frobenius (super)manifolds and quantum cohomology of \(\mathbb{P}^r\). Zbl 0908.53011Manin, Yu. I.; Merkulov, S. A. 4 1997 Mordell-Weil problem for cubic surfaces. Zbl 1053.14508Manin, Yu. I. 3 1997 Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001Gelfand, S. I.; Manin, Yu. I. 93 1996 Stacks of stable maps and Gromov-Witten invariants. Zbl 0872.14019Behrend, K.; Manin, Yu. 78 1996 Quantum cohomology of a product (with appendix by R. Kaufmann). Zbl 0853.14021Kontsevich, M.; Manin, Yu. 25 1996 Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011Kaufmann, R.; Manin, Yu.; Zagier, D. 25 1996 Quantum groups and algebraic groups in noncommutative geometry. Zbl 0868.17008Manin, Yu. I. 6 1996 ...and 150 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,271 Authors 57 Manin, Yuriĭ Ivanovich 47 Marcolli, Matilde 28 Kupershmidt, Boris A. 26 Browning, Timothy Daniel 21 Çelik, Salih 20 Pukhlikov, Aleksandr Valentinovich 19 Buryak, Alexandr Y. 19 Choie, YoungJu 18 Kurokawa, Nobushige 18 Tschinkel, Yuri 17 Fioresi, Rita 16 Lee, Minho 16 Shadrin, Sergey V. 15 Colliot-Thélène, Jean-Louis 15 Jahnel, Jörg 14 Derenthal, Ulrich 14 Elsenhans, Andreas-Stephan 13 Leites, Dimitry A. 13 Merkulov, Sergei A. 12 Rossi, Paolo 12 Zagier, Don Bernard 11 Bruzzo, Ugo 11 Cheltsov, Ivan Anatol’evich 11 Connes, Alain 11 Kapranov, Mikhail M. 11 Majid, Shahn 11 Skorobogatov, Alexei Nikolaïevitch 11 Tanimoto, Sho 11 Voronov, Alexander A. 11 Zinger, Aleksey 10 Bouarroudj, Sofiane 10 Çelik, Sultan Abaci 10 Iritani, Hiroshi 10 Jardim, Marcos 10 Kang, Ming-Chang 10 Lorenzoni, Paolo 10 Nekrasov, Nikita Alexandrovich 10 Nikolaev, Igor Vasilievich 10 Norbury, Paul T. 10 Panchishkin, Alexei A. 10 Pandharipande, Rahul 9 Berger, Roland 9 Buium, Alexandru 9 de la Bretèche, Régis 9 Lorscheid, Oliver 9 Mazur, Barry 9 Phùng Hô‘ Hài 9 Polishchuk, Alexander Evgen’evich 9 Prokhorov, Yuriĭ Gennad’evich 9 Serganova, Vera V. 9 Tabuada, Gonçalo 9 Várilly-Alvarado, Anthony 9 Woodward, Christopher T. 9 Zhang, Ruibin 8 Biswas, Indranil 8 Bruce, Andrew James 8 Coates, Tom 8 Dubrovin, Boris Anatol’evich 8 Guo, Li 8 Hertling, Claus 8 Hoshi, Akinari 8 Joyce, Dominic David 8 Kaufmann, Ralph M. 8 Kresch, Andrew 8 Landi, Giovanni 8 Loughran, Daniel 8 Popov, Alexander D. 8 Ruan, Yongbin 8 Sather-Wagstaff, Keri 8 Schechtman, Vadim 8 Varchenko, Alexander Nikolaevich 8 Vavilov, Nikolaĭ Aleksandrovich 8 Yau, Shing-Tung 7 Arsie, Alessandro 7 Bloch, Spencer J. 7 Borovoi, Mikhail V. 7 Brown, Francis C. S. 7 Chung, Won-Sang 7 Conley, Charles H. 7 Consani, Caterina 7 Danilov, Vladimir I. 7 Diamantis, Nikolaos 7 Dubois-Violette, Michel 7 Falqui, Gregorio 7 Gao, Yun 7 Gateva-Ivanova, Tatiana 7 Guha, Partha 7 Ichikawa, Takashi 7 Karzanov, Aleksandr V. 7 Koyama, Shin-ya 7 Lehmann, Brian 7 Luef, Franz 7 Morrison, David R. 7 Noja, Simone 7 Oort, Frans 7 Pavlov, Maxim V. 7 Pestov, Vladimir G. 7 Poonen, Bjorn 7 Rabin, Jeffrey M. 7 Stichtenoth, Henning ...and 4,171 more Authors all top 5 Cited in 423 Serials 206 Communications in Mathematical Physics 180 Journal of Algebra 161 Journal of Mathematical Physics 152 Journal of Geometry and Physics 143 Advances in Mathematics 128 Journal of High Energy Physics 101 Letters in Mathematical Physics 100 Journal of Number Theory 98 Duke Mathematical Journal 93 Journal of Pure and Applied Algebra 91 Inventiones Mathematicae 85 Transactions of the American Mathematical Society 77 Mathematische Annalen 73 Compositio Mathematica 68 Theoretical and Mathematical Physics 62 Journal of Mathematical Sciences (New York) 61 Mathematische Zeitschrift 56 Nuclear Physics. 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Second Series 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 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 13 Research in the Mathematical Sciences 12 Reports on Mathematical Physics 12 Rendiconti del Seminario Matematico della Università di Padova 12 Algebraic & Geometric Topology 12 Algebra & Number Theory 12 Science China. Mathematics 12 Research in Number Theory 11 Modern Physics Letters A 11 Physics Letters. A 11 Bulletin of the London Mathematical Society 11 Geometriae Dedicata 11 Indagationes Mathematicae. New Series 11 Advances in Applied Clifford Algebras 11 Documenta Mathematica 11 Transformation Groups 10 Russian Mathematical Surveys 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Proceedings of the London Mathematical Society. Third Series 10 Geometric and Functional Analysis. GAFA 10 Journal of Algebraic Combinatorics 10 Izvestiya: Mathematics 10 Acta Mathematica Sinica. English Series 9 Rocky Mountain Journal of Mathematics 9 Reviews in Mathematical Physics 9 Mathematische Nachrichten 9 Mathematika ...and 323 more Serials all top 5 Cited in 61 Fields 1,943 Algebraic geometry (14-XX) 924 Number theory (11-XX) 905 Quantum theory (81-XX) 594 Nonassociative rings and algebras (17-XX) 536 Differential geometry (53-XX) 490 Associative rings and algebras (16-XX) 450 Global analysis, analysis on manifolds (58-XX) 329 Dynamical systems and ergodic theory (37-XX) 293 Category theory; homological algebra (18-XX) 276 Partial differential equations (35-XX) 265 Several complex variables and analytic spaces (32-XX) 236 Group theory and generalizations (20-XX) 171 Functional analysis (46-XX) 139 Relativity and gravitational theory (83-XX) 133 Commutative algebra (13-XX) 131 Manifolds and cell complexes (57-XX) 129 Algebraic topology (55-XX) 121 Combinatorics (05-XX) 92 Topological groups, Lie groups (22-XX) 77 Ordinary differential equations (34-XX) 72 Linear and multilinear algebra; matrix theory (15-XX) 68 Convex and discrete geometry (52-XX) 67 Field theory and polynomials (12-XX) 66 Special functions (33-XX) 57 Mathematical logic and foundations (03-XX) 57 Mechanics of particles and systems (70-XX) 54 Computer science (68-XX) 51 \(K\)-theory (19-XX) 50 Functions of a complex variable (30-XX) 49 Statistical mechanics, structure of matter (82-XX) 43 Information and communication theory, circuits (94-XX) 38 Operator theory (47-XX) 30 Fluid mechanics (76-XX) 28 History and biography (01-XX) 27 Geometry (51-XX) 24 General and overarching topics; collections (00-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 22 Probability theory and stochastic processes (60-XX) 20 Numerical analysis (65-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Abstract harmonic analysis (43-XX) 14 Difference and functional equations (39-XX) 11 Measure and integration (28-XX) 9 General topology (54-XX) 9 Statistics (62-XX) 9 Biology and other natural sciences (92-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operations research, mathematical programming (90-XX) 5 General algebraic systems (08-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Systems theory; control (93-XX) 4 Potential theory (31-XX) 4 Optics, electromagnetic theory (78-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 3 Astronomy and astrophysics (85-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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