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: 345 Publications since 1956, including 38 Books and 11 Additional arXiv Preprints 16 Contributions as Editor · 7 Further Contributions Biographic References: 18 Publications Co-Authors: 156 Co-Authors with 158 Joint Publications 5,019 Co-Co-Authors all top 5 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 Il’yashenko, Yuliĭ 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 107 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 \(p\)-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 all top 5 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 259 Publications have been cited 6,120 times in 4,914 Documents Cited by ▼ Year ▼ Construction of instantons. Zbl 0424.14004 Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 401 1978 Quantum groups and non-commutative geometry. Zbl 0724.17006 Manin, Yu. I. 345 1988 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0853.14020 Kontsevich, M.; Manin, Yu. 287 1994 Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001 Gelfand, S. I.; Manin, Yu. I. 186 2003 A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy. Zbl 0607.35075 Manin, Yu. I.; Radul, A. O. 182 1985 Cubic forms. Algebra, geometry, arithmetic. Transl. from the Russian by M. Hazewinkel. 2nd ed. Zbl 0582.14010 Manin, Yu. I. 177 1986 Multiparametric quantum deformation of the general linear supergroup. Zbl 0673.16004 Manin, Yu. I. 154 1989 Frobenius manifolds, quantum cohomology, and moduli spaces. Zbl 0952.14032 Manin, Yuri I. 152 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. 135 1974 Topics in noncommutative geometry. Zbl 0724.17007 Manin, Yuri I. 119 1991 Parabolic points and zeta-functions of modular curves. (Parabolische Punkte und Zeta-Funktionen modularer Kurven.) Zbl 0243.14008 Manin, Yu. I. 118 1972 Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. Zbl 0641.53001 Manin, Yuri I. 113 1988 The theory of commutative formal groups over fields of finite characteristic. Zbl 0128.15603 Manin, Yu. I. 107 1963 Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001 Gelfand, S. I.; Manin, Yu. I. 94 1996 Some remarks on Koszul algebras and quantum groups. Zbl 0625.58040 Manin, Yu. I. 94 1987 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 Algebraic aspects of nonlinear differential equations. Zbl 0419.35001 Manin, Yu. I. 83 1979 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. Corrected reprint of the 2nd ed. 1974. Zbl 1177.14001 Mumford, David 83 2008 Stacks of stable maps and Gromov-Witten invariants. Zbl 0872.14019 Behrend, K.; Manin, Yu. 81 1996 Three -dimensional quartics and counterexamples to the Lueroth problem. Zbl 0222.14009 Iskovskikh, V. A.; Manin, Yu. I. 81 1971 Lecture on zeta functions and motives (according to Deninger and Kurokawa). Zbl 0840.14001 Manin, Yuri 67 1995 Automorphic pseudodifferential operators. Zbl 1055.11514 Cohen, Paula Beazley; Manin, Yuri; Zagier, Don 67 1997 New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536 Losev, A.; Manin, Y. 67 2000 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. 66 1997 Arrangements of hyperplanes, higher braid groups and higher Bruhat orders. Zbl 0759.20002 Manin, Yu. I.; Shekhtman, V. V. 63 1989 Cubic forms: algebra, geometry, arithmetic. (Кубицеские формы: алгебра, геометрия, арифметика.) Zbl 0255.14002 Manin, Yu. I. 62 1972 Weak Frobenius manifolds. Zbl 0960.58003 Hertling, C.; Manin, Yu. 61 1999 Le groupe de Brauer-Grothendieck en géométrie diophantienne. Zbl 0239.14010 Manin, Yu. I. 59 1971 Periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14008 Manin, Yu. I. 59 1975 Gauge fields and complex geometry. (Kalibrovochnye polya i kompleksnaya geometriya). Zbl 0576.53002 Manin, Yu. I. 57 1984 The periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14007 Manin, Yu. I. 53 1973 Parabolic points and zeta-functions of modular curves. Zbl 0248.14010 Manin, Yu. I. 47 1973 Rational surfaces over perfect fields. Zbl 0171.41701 Manin, Yu. I. 47 1966 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. 46 1965 The Mumford form and the Polyakov measure in string theory. Zbl 0604.14016 Bejlinson, A. A.; Manin, Yu. I. 43 1986 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063 Goncharov, A. B.; Manin, Yu. I. 42 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. 40 1998 Three-dimensional quartics and counterexamples to the Lüroth problem. Zbl 0249.14001 Iskovskikh, V. A.; Manin, Yu. I. 35 1972 The Hasse-Witt matrix of an algebraic curve. Zbl 0148.28002 Manin, Yu. I. 35 1965 A course in mathematical logic. Translated from the Russian by Neal Koblitz. Zbl 0383.03002 Manin, Yu. I. 34 1977 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 Iterated integrals of modular forms and noncommutative modular symbols. Zbl 1184.11019 Manin, Yuri I. 34 2006 Rational varieties: Algebra, geometry and arithmetic. Zbl 0621.14029 Manin, Yu. I.; Tsfasman, M. A. 33 1986 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 \(F\)-manifolds with flat structure and Dubrovin’s duality. Zbl 1085.14023 Manin, Yuri I. 31 2005 Non-Archimedean integration and Jacquet-Langlands p-adic l-functions. Zbl 0348.12016 Manin, Yu. I. 31 1976 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. 29 1991 Rational surfaces over perfect fields. II. Zbl 0182.23701 Manin, Yu. I. 29 1968 Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011 Kaufmann, R.; Manin, Yu.; Zagier, D. 27 1996 Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022 Manin, Yu. I. 27 2004 Relations between the correlators of the topological sigma-model coupled to gravity. Zbl 0946.14032 Kontsevich, M.; Manin, Yu. 27 1998 Generating functions in algebraic geometry and sums over trees. Zbl 0871.14022 Manin, Yu. I. 26 1995 What is the maximum number of points on a curve over \(F^ 2\)? Zbl 0527.14021 Manin, Yu. I. 26 1981 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 Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033 Manin, Y. I.; Marcolli, M. 25 2002 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. 25 1992 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0931.14030 Kontsevich, M.; Manin, Yu. 25 1997 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 Rational points of algebraic curves over function fields. Zbl 0178.55102 Manin, Yu. I. 23 1963 Invertible cohomological field theories and Weil-Petersson volumes. Zbl 1001.14008 Manin, Yuri I.; Zograf, Peter 21 2000 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. 21 2005 Uniformly bounded \(p\)-torsion of elliptic curves. (Gleichmäßig beschränkte \(p\)-Drehung elliptischer Kurven.) Zbl 0191.19601 Manin, Yu. I. 21 1969 Lectures on the \(K\)-functor in algebraic geometry. Zbl 0204.21302 Manin, Yu. I. 21 1969 Linear codes and modular curves. Zbl 0629.94013 Vlèduts, S. G.; Manin, Yu. I. 21 1985 Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. Zbl 0755.15002 Kostrikin, A. I.; Manin, Yu. I. 20 1989 An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128 Hertling, Claus; Manin, Yuri I.; Teleman, Constantin 20 2009 Long-wave equation with free boundaries. I. Conservation laws and solution. Zbl 0419.35075 Kupershmidt, B. A.; Manin, Yu. I. 20 1978 The computable and the non-computable. (Vychislimoe i nevychislimoe). Zbl 0471.03003 Manin, Yu. I. 20 1980 Holography principle and arithmetic of algebraic curves. Zbl 1042.14006 Manin, Yuri I.; Marcolli, Matilde 19 2001 New dimensions in geometry. Zbl 0579.14002 Manin, Yu. I. 19 1985 The Tate height of points on an abelian variety, its variants and applications. Zbl 0192.26801 Manin, Yu. I. 19 1964 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 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 Linear algebra and geometry. Paperback ed. Zbl 0969.15001 Kostrikin, A. I.; Manin, Yu. I. 18 1997 \(p\)-adic Hecke series of imaginary quadratic fields. Zbl 0329.12016 Vishik, M. M.; Manin, Yu. I. 17 1976 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082 Bayer, Arend; Manin, Yuri I. 16 2004 Algebraic curves over fields with differentiation. Zbl 0151.27601 Manin, Yu. I. 16 1964 Generalized operads and their inner cohomomorphisms. Zbl 1180.18004 Borisov, Dennis V.; Manin, Yuri I. 16 2008 Elements of supergeometry. Zbl 0736.58004 Voronov, A. A.; Manin, Yu. I.; Penkov, I. B. 15 1988 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. 15 2004 Quantum theta functions and Gabor frames for modulation spaces. Zbl 1175.42017 Luef, Franz; Manin, Yuri I. 15 2009 Holomorphic supergeometry and Yang-Mills superfields. Zbl 0591.53071 Manin, Yu. I. 14 1985 Higher Bruhat orders connected with the symmetric group. Zbl 0646.20014 Manin, Yu. I.; Shekhtman, V. V. 14 1986 Abelian varieties. With appendices by C. P. Ramanujam and Yuri Manin. 2nd ed. Reprint. Zbl 0583.14015 Mumford, David 13 1985 Fuchsian modules. (Moduli fuchsiani.) Zbl 0166.04301 Manin, Yu. I. 13 1965 Notes on the arithmetic of Fano threefolds. Zbl 0780.14022 Manin, Yu. I. 12 1993 The p-torsion of elliptic curves is uniformly bounded. Zbl 0205.25002 Manin, Yu. I. 12 1970 p-adic automorphic functions. Zbl 0375.14007 Manin, Yu. I. 12 1976 Three constructions of Frobenius manifolds: A comparative study. Zbl 0992.53064 Manin, Yu. I. 12 1999 Linear algebra and geometry. Textbook. (Linejnaya algebra i geometriya. Uchebnoe posobie). 2nd ed., rev. Zbl 0587.00002 Kostrikin, A. I.; Manin, Yu. I. 11 1986 K-theory, arithmetic and geometry. Seminar, Moscow University, 1984-1986. Zbl 0621.00010 11 1987 Geometry of information: classical and quantum aspects. Zbl 1481.14001 Combe, Noémie; Manin, Yuri I.; Marcolli, Matilde 3 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 Quantum statistical mechanics of the absolute Galois group. Zbl 1505.11095 Manin, Yuri I.; Marcolli, Matilde 1 2020 Homotopy types and geometries below \(\mathrm{Spec}(\mathbb{Z})\). Zbl 1504.14007 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. 5 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 Local zeta factors and geometries under \(\operatorname{Spec}\mathbb Z\). Zbl 1417.11081 Manin, Yurii I. 6 2016 Semantic spaces. Zbl 1409.68302 Manin, Yuri I.; Marcolli, Matilde 6 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 Arithmetic differential equations of Painlevé VI type. Zbl 1356.14018 Buium, Alexandru; Manin, Yuri I. 7 2015 Neural codes and homotopy types: mathematical models of place field recognition. Zbl 1366.94060 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 9 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 Towards motivic quantum cohomology of \(\bar{M}_{0,S}\). Zbl 1288.14041 Manin, Yuri I.; Smirnov, Maxim 1 2014 Forgotten motives: the varieties of scientific experience. Zbl 1308.14004 Manin, Yuri I. 1 2014 On the derived category of \(\overline {M}_{0,n}\). Zbl 1273.14037 Manin, Yu. I.; Smirnov, M. N. 4 2013 Numbers as functions. Zbl 1404.12009 Manin, Yu. I. 4 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 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 1229.11079 Manin, Yuri I. 2 2010 Arithmetic and geometry around quantization. Zbl 1190.00026 1 2010 An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128 Hertling, Claus; Manin, Yuri I.; Teleman, Constantin 20 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 83 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 Geometry and dynamics of groups and spaces. In memory of Alexander Reznikov. Partly based on the international conference on geometry and dynamics of groups and spaces in memory of Alexander Reznikov, Bonn, Germany, September 22–29, 2006. Zbl 1130.00014 1 2008 Mathematics as metaphor. Selected essays of Yuriĭ I. Manin. (Математика как метафора. Юрий И. Манин.) Zbl 1175.00007 Manin, Yuriĭ I. 1 2008 Mathematics as metaphor. Selected essays of Yuri I. Manin. With foreword by Freeman J. Dyson. Zbl 1172.00003 Manin, Yuri I. 7 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 2 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. 31 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. 21 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. 42 2004 Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022 Manin, Yu. I. 27 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. 15 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. 186 2003 Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033 Manin, Y. I.; Marcolli, M. 25 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 Moduli, motives, mirrors. Zbl 1099.14506 Manin, Yuri I. 1 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 New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536 Losev, A.; Manin, Y. 67 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. 152 1999 Weak Frobenius manifolds. Zbl 0960.58003 Hertling, C.; Manin, Yu. 61 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. 40 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 67 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. 66 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. 18 1997 Semisimple Frobenius (super)manifolds and quantum cohomology of \(\mathbb{P}^r\). Zbl 0908.53011 Manin, Yu. I.; Merkulov, S. A. 4 1997 ...and 159 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,677 Authors 58 Manin, Yuriĭ Ivanovich 49 Marcolli, Matilde 28 Kupershmidt, Boris A. 27 Browning, Timothy Daniel 26 Fioresi, Rita 23 Çelik, Salih 20 Pukhlikov, Aleksandr Valentinovich 19 Buryak, Alexandr Y. 19 Choie, YoungJu 19 Tschinkel, Yuri 18 Kurokawa, Nobushige 17 Colliot-Thélène, Jean-Louis 16 Derenthal, Ulrich 16 Jahnel, Jörg 16 Lee, Minho 16 Leites, Dimitry A. 16 Shadrin, Sergey V. 15 Elsenhans, Andreas-Stephan 15 Li, Chuanzhong 13 Merkulov, Sergei A. 13 Zagier, Don Bernard 12 Kapranov, Mikhail M. 12 Majid, Shahn 12 Prokhorov, Yuriĭ Gennad’evich 12 Rossi, Paolo 12 Tanimoto, Sho 12 Voronov, Alexander A. 11 Bouarroudj, Sofiane 11 Bruzzo, Ugo 11 Buium, Alexandru 11 Cheltsov, Ivan Anatol’evich 11 Connes, Alain 11 Iritani, Hiroshi 11 Lorenzoni, Paolo 11 Nekrasov, Nikita Alexandrovich 11 Norbury, Paul T. 11 Panchishkin, Alexei A. 11 Skorobogatov, Alexei Nikolaïevitch 11 Zinger, Aleksey 10 Bruce, Andrew James 10 Çelik, Sultan Abaci 10 Hoshi, Akinari 10 Jardim, Marcos 10 Kang, Ming-Chang 10 Lorscheid, Oliver 10 Noja, Simone 10 Pandharipande, Rahul 10 Polishchuk, Alexander Evgen’evich 10 Serganova, Vera V. 10 Várilly-Alvarado, Anthony 10 Zhang, Ruibin 9 Berger, Roland 9 Coates, Tom 9 de la Bretèche, Régis 9 Goswami, Debashish 9 Guo, Li 9 Mazur, Barry 9 Phùng Hô‘ Hài 9 Sather-Wagstaff, Keri 9 Tabuada, Gonçalo 9 Vavilov, Nikolaĭ Aleksandrovich 9 Wolf, Martin 9 Woodward, Christopher T. 9 Yang, Di 8 Biswas, Indranil 8 Bloch, Spencer J. 8 Borovoi, Mikhail V. 8 Brown, Francis C. S. 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 Prykarpatsky, Anatoliy Karolevych 8 Rabin, Jeffrey M. 8 Ruan, Yongbin 8 Sämann, Christian 8 Schechtman, Vadim 8 Trepalin, Andrey S. 8 Tseng, Hsian-Hua 8 Varchenko, Alexander Nikolaevich 8 Wittenberg, Olivier 8 Yau, Shing-Tung 7 Arsie, Alessandro 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 ...and 4,577 more Authors all top 5 Cited in 457 Serials 214 Communications in Mathematical Physics 191 Journal of Algebra 167 Journal of Geometry and Physics 165 Journal of Mathematical Physics 154 Advances in Mathematics 144 Journal of High Energy Physics 104 Letters in Mathematical Physics 104 Journal of Number Theory 101 Duke Mathematical Journal 100 Journal of Pure and Applied Algebra 99 Transactions of the American Mathematical Society 92 Inventiones Mathematicae 80 Mathematische Annalen 74 Compositio Mathematica 70 Theoretical and Mathematical Physics 69 Mathematische Zeitschrift 67 Journal of Mathematical Sciences (New York) 59 Nuclear Physics. 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A 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 Advances in Applied Clifford Algebras 13 Documenta Mathematica 13 Central European Journal of Mathematics 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Geometriae Dedicata 12 Proceedings of the London Mathematical Society. Third Series 12 Rendiconti del Seminario Matematico della Università di Padova 12 Indagationes Mathematicae. New Series 12 Journal of Algebraic Combinatorics 12 Applied Categorical Structures 12 Algebraic & Geometric Topology 11 Forum Mathematicum 11 Izvestiya: Mathematics 11 Frontiers of Mathematics in China 10 Russian Mathematical Surveys 10 Reviews in Mathematical Physics 10 Mathematische Nachrichten ...and 357 more Serials all top 5 Cited in 61 Fields 2,149 Algebraic geometry (14-XX) 1,020 Number theory (11-XX) 988 Quantum theory (81-XX) 650 Nonassociative rings and algebras (17-XX) 581 Differential geometry (53-XX) 518 Associative rings and algebras (16-XX) 495 Global analysis, analysis on manifolds (58-XX) 350 Dynamical systems and ergodic theory (37-XX) 321 Category theory; homological algebra (18-XX) 296 Partial differential equations (35-XX) 288 Several complex variables and analytic spaces (32-XX) 273 Group theory and generalizations (20-XX) 180 Functional analysis (46-XX) 153 Relativity and gravitational theory (83-XX) 148 Commutative algebra (13-XX) 139 Algebraic topology (55-XX) 139 Manifolds and cell complexes (57-XX) 136 Combinatorics (05-XX) 105 Topological groups, Lie groups (22-XX) 84 Ordinary differential equations (34-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 79 Field theory and polynomials (12-XX) 71 Special functions (33-XX) 71 Convex and discrete geometry (52-XX) 69 Computer science (68-XX) 63 Mathematical logic and foundations (03-XX) 63 Mechanics of particles and systems (70-XX) 59 \(K\)-theory (19-XX) 56 Statistical mechanics, structure of matter (82-XX) 54 Functions of a complex variable (30-XX) 47 Information and communication theory, circuits (94-XX) 41 Operator theory (47-XX) 33 Geometry (51-XX) 32 History and biography (01-XX) 31 Fluid mechanics (76-XX) 28 General and overarching topics; collections (00-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 25 Probability theory and stochastic processes (60-XX) 23 Numerical analysis (65-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Abstract harmonic analysis (43-XX) 15 Difference and functional equations (39-XX) 13 Measure and integration (28-XX) 12 Biology and other natural sciences (92-XX) 11 General topology (54-XX) 10 Statistics (62-XX) 9 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General algebraic systems (08-XX) 6 Systems theory; control (93-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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