Edit Profile Manin, Yuri Ivanovich Compute Distance To: Compute Author ID: manin.yuri-ivanovich Published as: Manin, Y.; Manin, Y. I.; Manin, Yu I.; Manin, Yu.; Manin, Yu. I.; Manin, Yuri; Manin, Yuri I.; Manin, Yuri Ivanovich; Manin, Yurii I.; Manin, Yuriĭ I. Homepage: http://www.mpim-bonn.mpg.de/node/99 External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Documents Indexed: 337 Publications since 1956, including 49 Books Biographic References: 11 Publications all top 5 Co-Authors 197 single-authored 14 Marcolli, Matilde 12 Drinfeld, Vladimir Gershonovich 8 Shafarevich, Igor’ Rostislavovich 7 Gel’fand, Sergeĭ Izrail’evich 7 Parshin, Alexei N. 6 Beilinson, Alexander A. 6 Cartier, Pierre 6 Illusie, Luc 6 Katz, Nicholas Michael 6 Kontsevich, Maxim Lvovich 6 Kostrikin, Alekseĭ Ivanovich 6 Laumon, Gérard 6 Ribet, Kenneth Alan 5 Novikov, Sergeĭ Petrovich 5 Panchishkin, Alexei A. 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 4 Zarkhin, Yuriĭ Gennad’evich 3 Hertling, Claus 3 Ilyashenko, Yulij Sergeevich 3 Lebedev, Dimitri 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 Khenkin, Gennadiĭ Markovich 2 Krichever, Igor’ Moiseevich 2 Lando, Sergei K. 2 Losev, Andrey A. 2 Moroz, Boris Zelikovich Baruch ben Zelik 2 Nemirovskiĭ, Stefan Yur’evich 2 Potyagailo, Leonid 2 Pukhlikov, Aleksandr Valentinovich 2 Schwarz, Albert S. 2 Shubin, Mikhail Aleksandrovich 2 Tsfasman, Michael A. 2 Tyurin, Andreĭ Nikolaevich 2 Vasil’ev, Viktor Anatol’evich 2 Vishik, Misha M. 2 Ward, Thomas B. 2 Zagier, Don Bernard 2 Zel’manov, Efim Isaakovich 1 Aptekarev, Alexander Ivanovich 1 Averbukh, B. G. 1 Bär, Christian 1 Baranov, Aleksandr Mikhaĭlovich 1 Batyrev, Victor V. 1 Behrend, Kai A. 1 Beukers, Frits 1 Bokut, Leonid A. 1 Borisov, Dennis V. 1 Bourguignon, Jean-Pierre 1 Buium, Alexandru 1 Bukhshtaber, Viktor Matveevich 1 Catanese, Fabrizio M. E. 1 Ceyhan, Özgür 1 Chirka, Evgeni M. 1 Combe, Noemie C. 1 Demidov, E. E. 1 Dieulefait, Luis Victor 1 Faltings, Gerd 1 Feĭgin, Boris L’vovich 1 Frolov, I. V. 1 Fuchs, Dmitry Borisovich 1 Golod, Evgeniĭ Solomonovich 1 Goncharov, Alexander Borisovich 1 Greuel, Gert-Martin 1 Gromov, Mikhael Leonidovich 1 Gusein-Zade, Sabir M. 1 Hitchin, Nigel James 1 Kac, Victor G. 1 Kaledin, Dmitry B. 1 Kanevsky, Dimitri 1 Kashin, Boris Sergeevich 1 Kaufmann, Ralph M. 1 Kazhdan, David A. 1 Kesel’man, V. M. 1 Kharlamov, Viatcheslav M. 1 Khovanskiĭ, Askold Georgievich 1 Kobzarev, I. Yu. 1 Kozlov, Valeriĭ Vasil’evich ...and 52 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 Matematicheskiĭ Sbornik. Novaya Seriya 10 Translations. Series 2. American Mathematical Society 9 Mathematics of the USSR, Sbornik 8 Communications in Mathematical Physics 7 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 Progress in Mathematics 4 Compositio Mathematica 4 Izvestiya: Mathematics 4 Proceedings of the Steklov Institute of Mathematics 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 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 Pure and Applied Mathematics Quarterly 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 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 Notices of the American Mathematical Society 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 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Colloquium Publications. American Mathematical Society 1 Fundamental Theories of Physics 1 Lecture Notes in Mathematics 1 London Mathematical Society Lecture Note Series 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 CRM Short Courses 1 Springer Monographs in Mathematics 1 Moscow Lectures 1 Progress in Physics 1 M. B. Porter Lectures all top 5 Fields 162 Algebraic geometry (14-XX) 72 Number theory (11-XX) 61 Quantum theory (81-XX) 50 Differential geometry (53-XX) 48 Global analysis, analysis on manifolds (58-XX) 38 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 29 Several complex variables and analytic spaces (32-XX) 24 Category theory; homological algebra (18-XX) 21 Mathematical logic and foundations (03-XX) 19 Nonassociative rings and algebras (17-XX) 15 Associative rings and algebras (16-XX) 15 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Relativity and gravitational theory (83-XX) 13 Group theory and generalizations (20-XX) 13 Computer science (68-XX) 11 Functional analysis (46-XX) 11 Information and communication theory, circuits (94-XX) 10 Algebraic topology (55-XX) 8 Topological groups, Lie groups (22-XX) 7 Geometry (51-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Commutative algebra (13-XX) 4 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Fluid mechanics (76-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-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 Harmonic analysis on Euclidean spaces (42-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 234 Publications have been cited 4,852 times in 3,935 Documents Cited by ▼ Year ▼ Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 337 1978 Quantum groups and non-commutative geometry. Zbl 0724.17006Manin, Yu. I. 316 1988 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0853.14020Kontsevich, M.; Manin, Yu. 214 1994 A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy. Zbl 0607.35075Manin, Yu. I.; Radul, A. O. 148 1985 Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001Gelfand, S. I.; Manin, Yu. I. 138 2003 Multiparametric quantum deformation of the general linear supergroup. Zbl 0673.16004Manin, Yu. I. 134 1989 Frobenius manifolds, quantum cohomology, and moduli spaces. Zbl 0952.14032Manin, Yuri I. 118 1999 Cubic forms. Algebra, geometry, arithmetic. Transl. from the Russian by M. Hazewinkel. 2nd ed. Zbl 0582.14010Manin, Yu. I. 118 1986 Cubic forms. Algebra, geometry, arithmetic. Translated from Russian by M. Hazewinkel. Zbl 0277.14014Manin, Yu. I. 114 1974 Rational points of bounded height on Fano varieties. Zbl 0674.14012Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri 101 1989 Topics in noncommutative geometry. Zbl 0724.17007Manin, Yuri I. 99 1991 Parabolic points and zeta-functions of modular curves. Zbl 0243.14008Manin, Yu. I. 94 1972 The theory of commutative formal groups over fields of finite characteristic. Zbl 0128.15603Manin, Yu. I. 94 1963 Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001Gelfand, S. I.; Manin, Yu. I. 92 1996 Algebraic aspects of nonlinear differential equations. Zbl 0419.35001Manin, Yu. I. 80 1979 Some remarks on Koszul algebras and quantum groups. Zbl 0625.58040Manin, Yu. I. 79 1987 Correspondences, motifs and monoidal transformations. Zbl 0199.24803Manin, Yu. I. 79 1968 Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. Zbl 0641.53001Manin, Yuri I. 71 1988 Stacks of stable maps and Gromov-Witten invariants. Zbl 0872.14019Behrend, K.; Manin, Yu. 62 1996 Gauge fields and complex geometry. (Kalibrovochnye polya i kompleksnaya geometriya). Zbl 0576.53002Manin, Yu. I. 58 1984 Three -dimensional quartics and counterexamples to the Lueroth problem. Zbl 0222.14009Iskovskikh, V. A.; Manin, Yu. I. 58 1971 On the number of rational points of bounded height on algebraic varieties. Zbl 0679.14008Batyrev, V. V.; Manin, Yu. I. 57 1990 Automorphic pseudodifferential operators. Zbl 1055.11514Cohen, Paula Beazley; Manin, Yuri; Zagier, Don 56 1997 Cubic forms: algebra, geometry, arithmetic. Zbl 0255.14002Manin, Yu. I. 56 1972 Lecture on zeta functions and motives (according to Deninger and Kurokawa). Zbl 0840.14001Manin, Yuri 50 1995 Periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14008Manin, Yu. I. 50 1975 New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536Losev, A.; Manin, Y. 45 2000 Arrangements of hyperplanes, higher braid groups and higher Bruhat orders. Zbl 0759.20002Manin, Yu. I.; Shekhtman, V. V. 44 1989 Weak Frobenius manifolds. Zbl 0960.58003Hertling, C.; Manin, Yu. 40 1999 The periods of modular forms and \(p\)-adic Hecke series. Zbl 0293.14007Manin, Yu. I. 40 1973 The Mumford form and the Polyakov measure in string theory. Zbl 0604.14016Bejlinson, A. A.; Manin, Yu. I. 39 1986 Cyclotomic fields and modular curves. Zbl 0266.14012Manin, Yu. I. 38 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. 36 1965 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063Goncharov, A. B.; Manin, Yu. I. 35 2004 Parabolic points and zeta-functions of modular curves. Zbl 0248.14010Manin, Yu. I. 35 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 0884.53002Manin, Yuri I. 33 1997 Rational surfaces over perfect fields. Zbl 0171.41701Manin, Yu. I. 33 1966 Equations of long waves with a free surface. II: Hamiltonian structure and higher equations. Zbl 0405.58049Kupershmidt, B. A.; Manin, Yu. I. 32 1978 Le groupe de Brauer-Grothendieck en géométrie diophantienne. Zbl 0239.14010Manin, Yu. I. 32 1971 The Hasse-Witt matrix of an algebraic curve. Zbl 0148.28002Manin, Yu. I. 31 1965 A course in mathematical logic. Translated from the Russian by Neal Koblitz. Zbl 0383.03002Manin, Yu. I. 30 1977 Sixth Painlevé equation, universal elliptic curve, and mirror of \(\mathbb{P}^2\). Zbl 0948.14025Manin, Yu. I. 29 1998 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0931.14030Kontsevich, M.; Manin, Yu. 29 1997 Periods of p-adic Schottky groups. Zbl 0275.14017Manin, Yu. I.; Drinfeld, V. 29 1973 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 28 2001 Non-Archimedean integration and Jacquet-Langlands p-adic l-functions. Zbl 0348.12016Manin, Yu. I. 28 1976 Three-dimensional hyperbolic geometry as \(\infty\)-adic Arakelov geometry. Zbl 0754.14014Manin, Yu. I. 25 1991 Homological Algebra. Zbl 0787.18008Gelfand, S. I.; Manin, Yu. I. 25 1989 Rational varieties: Algebra, geometry and arithmetic. Zbl 0621.14029Manin, Yu. I.; Tsfasman, M. A. 25 1986 Iterated integrals of modular forms and noncommutative modular symbols. Zbl 1184.11019Manin, Yuri I. 24 2006 Linear codes and modular curves. Zbl 0629.94013Vlèduts, S. G.; Manin, Yu. I. 24 1985 What is the maximum number of points on a curve over \(F^ 2\)? Zbl 0527.14021Manin, Yu. I. 24 1981 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. 23 1990 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. 23 1987 Three-dimensional quartics and counterexamples to the Lüroth problem. Zbl 0249.14001Iskovskikh, V. A.; Manin, Yu. I. 23 1972 Rational surfaces over perfect fields. II. Zbl 0182.23701Manin, Yu. I. 23 1968 Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022Manin, Yu. I. 22 2004 Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033Manin, Y. I.; Marcolli, M. 22 2002 Relations between the correlators of the topological sigma-model coupled to gravity. Zbl 0946.14032Kontsevich, M.; Manin, Yu. 21 1998 Uniformly bounded \(p\)-torsion of elliptic curves. Zbl 0191.19601Manin, Yu. I. 21 1969 Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011Kaufmann, R.; Manin, Yu.; Zagier, D. 20 1996 Quantum cohomology of a product (with appendix by R. Kaufmann). Zbl 0853.14021Kontsevich, M.; Manin, Yu. 20 1996 Long-wave equation with free boundaries. I. Conservation laws and solution. Zbl 0419.35075Kupershmidt, B. A.; Manin, Yu. I. 20 1978 Rational points of algebraic curves over function fields. Zbl 0178.55102Manin, Yu. I. 20 1963 Generating functions in algebraic geometry and sums over trees. Zbl 0871.14022Manin, Yu. I. 19 1995 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 Rational points of algebraic curves over function fields. Zbl 0166.16901Manin, Yu. I. 19 1963 \(F\)-manifolds with flat structure and Dubrovin’s duality. Zbl 1085.14023Manin, Yuri I. 17 2005 Holography principle and arithmetic of algebraic curves. Zbl 1042.14006Manin, Yuri I.; Marcolli, Matilde 17 2001 Notes on quantum groups and quantum de Rham complexes. Zbl 0810.17003Manin, Yu. I. 17 1992 Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves. Zbl 0639.14015Manin, Yu. I. 17 1986 Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. Zbl 0755.15002Kostrikin, A. I.; Manin, Yu. I. 16 1989 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 Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013Hertling, Claus; Manin, Yuri 14 2004 Higher Bruhat orders connected with the symmetric group. Zbl 0646.20014Manin, Yu. I.; Shekhtman, V. V. 14 1986 The Tate height of points on an abelian variety, its variants and applications. Zbl 0192.26801Manin, Yu. I. 14 1964 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. 13 2005 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082Bayer, Arend; Manin, Yuri I. 13 2004 Invertible cohomological field theories and Weil-Petersson volumes. Zbl 1001.14008Manin, Yuri I.; Zograf, Peter 13 2000 Holomorphic supergeometry and Yang-Mills superfields. Zbl 0591.53071Manin, Yu. I. 13 1985 On the Hasse-Witt matrix of an algebraic curve. Zbl 0102.27802Manin, Yu. I. 13 1961 Linear algebra and geometry. Paperback ed. Zbl 0969.15001Kostrikin, A. I.; Manin, Yu. I. 12 1997 New dimensions in geometry. Zbl 0579.14002Manin, Yu. I. 12 1985 p-adic automorphic functions. Zbl 0375.14007Manin, Yu. I. 12 1976 Moduli fuchsiani. Zbl 0166.04301Manin, Yu. I. 12 1965 Quantum theta functions and Gabor frames for modulation spaces. Zbl 1175.42017Luef, Franz; Manin, Yuri I. 11 2009 Gel’fand-Dikii Hamiltonian operator and the coadjoint representation of the Volterra group. Zbl 0455.58012Lebedev, D. R.; Manin, Yu. I. 11 1980 Gleichungen langer Wellen mit freier Oberfläche. I: Erhaltungssätze und Lösungen. Zbl 0364.35043Kupershmidt, B. A.; Manin, Yu. I. 11 1977 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 An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128Hertling, Claus; Manin, Yuri I.; Teleman, Constantin 10 2009 Three constructions of Frobenius manifolds: A comparative study. Zbl 0992.53064Manin, Yu. I. 10 1999 p-adische Hecke-Reihen imaginär quadratischer Körper. Zbl 0352.12013Vishik, M. M.; Manin, Yu. I. 10 1974 The p-torsion of elliptic curves is uniformly bounded. Zbl 0205.25002Manin, Yu. I. 10 1970 Error-correcting codes and phase transitions. Zbl 1278.94097Manin, Yuri I.; Marcolli, Matilde 9 2011 Cyclotomy and analytic geometry over \(\mathbb{F}_1\). Zbl 1231.14018Manin, Yuri I. 9 2010 Generalized operads and their inner cohomomorphisms. Zbl 1180.18004Borisov, Dennis V.; Manin, Yuri I. 9 2008 The notion of dimension in geometry and algebra. Zbl 1096.14001Manin, Yuri I. 9 2006 Notes on the arithmetic of Fano threefolds. Zbl 0780.14022Manin, Yu. I. 9 1993 Higher structures, quantum groups and genus zero modular operad. Zbl 1444.18014Manin, Yuri I. 1 2019 Error-correcting codes and neural networks. Zbl 1392.92016Manin, Yuri I. 2 2018 Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. Zbl 1430.16001Manin, Yuri I. 1 2018 Introduction to the theory of schemes. Translated from the Russian by Dimitry Leites. Zbl 1390.14002Manin, Yuri I. 1 2018 Grothendieck-Verdier duality patterns in quantum algebra. Zbl 1386.18027Manin, Yurii I. 2 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 7 2016 Semantic spaces. Zbl 1409.68302Manin, Yuri I.; Marcolli, Matilde 3 2016 Painlevé VI equations in \(p\)-adic time. Zbl 1433.14018Manin, Yu. I. 1 2016 Moduli operad over \(\mathbb F_1\). Zbl 1428.18035Manin, Yuri I.; Marcolli, Matilde 1 2016 Local zeta factors and geometries under \(\operatorname{Spec}\mathbb Z\). Zbl 1417.11081Manin, Yurii I. 1 2016 Arithmetic differential equations of Painlevé VI type. Zbl 1356.14018Buium, Alexandru; Manin, Yuri I. 5 2015 Neural codes and homotopy types: mathematical models of place field recognition. Zbl 1366.94060Manin, Yuri I. 5 2015 Big bang, blowup, and modular curves: algebraic geometry in cosmology. Zbl 1296.85004Manin, Yuri I.; Marcolli, Matilde 7 2014 Kolmogorov complexity and the asymptotic bound for error-correcting codes. Zbl 1318.94116Manin, Yuri; Marcolli, Matilde 7 2014 Non-commutative generalized Dedekind symbols. Zbl 1355.11034Manin, Yuri I. 3 2014 Zipf’s law and L. Levin probability distributions. Zbl 1347.03080Manin, Yuri I. 2 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. 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. 1 2013 Renormalisation and computation. II: Time cut-off and the halting problem. Zbl 1291.68169Manin, Yuri I. 6 2012 A computability challenge: asymptotic bounds for error-correcting codes. Zbl 1353.03079Manin, Yuri I. 4 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 9 2011 Renormalization and computation. I: Motivation and background. Zbl 1277.68077Manin, Yuri I. 4 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. 9 2010 Infinities in quantum field theory and in classical computing: renormalization program. Zbl 1286.81141Manin, Yuri I. 3 2010 Remarks on modular symbols for Maass wave forms. Zbl 1229.11079Manin, 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 1205.00087Kolyada, Sergiy (ed.); Manin, Yuri (ed.); Möller, Martin (ed.); Moree, Pieter (ed.); Ward, Thomas (ed.) 2 2010 Quantum theta functions and Gabor frames for modulation spaces. Zbl 1175.42017Luef, Franz; Manin, Yuri I. 11 2009 An update on semisimple quantum cohomology and \(F\)-manifolds. Zbl 1312.14128Hertling, Claus; Manin, Yuri I.; Teleman, Constantin 10 2009 Stability conditions, wall-crossing and weighted Gromov-Witten invariants. Zbl 1216.14051Bayer, Arend; Manin, Yu I. 5 2009 Truth as value and duty: lessons of mathematics. Zbl 1194.00026Manin, Yu. I. 1 2009 Generalized operads and their inner cohomomorphisms. Zbl 1180.18004Borisov, Dennis V.; Manin, Yuri I. 9 2008 Modular shadows and the Lévy-Mellin \(\infty\)-adic transform. Zbl 1228.11144Manin, Yuri I.; Marcolli, Matilde 4 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. 24 2006 The notion of dimension in geometry and algebra. Zbl 1096.14001Manin, Yuri I. 9 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. 17 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. 13 2005 Iterated Shimura integrals. Zbl 1215.11052Manin, Yuri I. 8 2005 Algebraic and topological dynamics. Proceedings of the conference, Bonn, Germany, May 1–July 31, 2004. Zbl 1075.37001Kolyada, S. (ed.); Manin, Yu. (ed.); Ward, Thomas (ed.) 2 2005 Rational curves, elliptic curves, and the Painlevé equation. Zbl 1080.14062Manin, Yu. I. 2 2005 Multiple \(\zeta\)-motives and moduli spaces \(\overline{\mathcal M}_{0,n}\). Zbl 1047.11063Goncharov, A. B.; Manin, Yu. I. 35 2004 Real multiplication and noncommutative geometry (ein Alterstraum). Zbl 1091.11022Manin, Yu. I. 22 2004 Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013Hertling, Claus; Manin, Yuri 14 2004 (Semi)simple exercises in quantum cohomology. Zbl 1077.14082Bayer, Arend; Manin, Yuri I. 13 2004 Extended modular operad. Zbl 1080.14066Losev, A.; Manin, Yu. 8 2004 Functional equations for quantum theta functions. Zbl 1078.53099Manin, Yuri I. 4 2004 Moduli stacks \(\overline L_{g,S}\). Zbl 1082.14057Manin, Yuri 2 2004 Georg Cantor and his heritage. Zbl 1106.03302Manin, Yu. I. 1 2004 Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001Gelfand, S. I.; Manin, Yu. I. 138 2003 Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033Manin, Y. I.; Marcolli, M. 22 2002 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 28 2001 Holography principle and arithmetic of algebraic curves. Zbl 1042.14006Manin, Yuri I.; Marcolli, Matilde 17 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 Moduli, motives, mirrors. Zbl 1099.14506Manin, Yuri I. 1 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 Composition of points and the Mordell-Weil problem for cubic surfaces. Zbl 1077.14525Kanevsky, Dimitri; Manin, Yuri 1 2001 New moduli spaces of pointed curves and pencils of flat connections. Zbl 1078.14536Losev, A.; Manin, Y. 45 2000 Invertible cohomological field theories and Weil-Petersson volumes. Zbl 1001.14008Manin, Yuri I.; Zograf, Peter 13 2000 Three constructions of Frobenius manifolds: a comparative study. Zbl 1047.53500Manin, Yu. I. 4 2000 Classical computing, quantum computing and Shor’s factoring algorithm. Zbl 1005.81014Manin, Yuri I. 2 2000 Frobenius manifolds, quantum cohomology, and moduli spaces. Zbl 0952.14032Manin, Yuri I. 118 1999 Weak Frobenius manifolds. Zbl 0960.58003Hertling, C.; Manin, Yu. 40 1999 Three constructions of Frobenius manifolds: A comparative study. Zbl 0992.53064Manin, Yu. I. 10 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. 29 1998 Relations between the correlators of the topological sigma-model coupled to gravity. Zbl 0946.14032Kontsevich, M.; Manin, Yu. 21 1998 Interrelations between mathematics and physics. Zbl 1044.01528Manin, Yu. I. 4 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 56 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. 33 1997 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0931.14030Kontsevich, M.; Manin, Yu. 29 1997 Linear algebra and geometry. Paperback ed. Zbl 0969.15001Kostrikin, A. I.; Manin, Yu. I. 12 1997 Semisimple Frobenius (super)manifolds and quantum cohomology of \(\mathbb{P}^r\). Zbl 0908.53011Manin, Yu. I.; Merkulov, S. A. 3 1997 Mordell-Weil problem for cubic surfaces. Zbl 1053.14508Manin, Yu. I. 2 1997 Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001Gelfand, S. I.; Manin, Yu. I. 92 1996 Stacks of stable maps and Gromov-Witten invariants. Zbl 0872.14019Behrend, K.; Manin, Yu. 62 1996 Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011Kaufmann, R.; Manin, Yu.; Zagier, D. 20 1996 Quantum cohomology of a product (with appendix by R. Kaufmann). Zbl 0853.14021Kontsevich, M.; Manin, Yu. 20 1996 Quantum groups and algebraic groups in noncommutative geometry. Zbl 0868.17008Manin, Yu. I. 6 1996 Selected papers of Yu. I. Manin. Zbl 0863.01027Manin, Yu. I. 2 1996 Lecture on zeta functions and motives (according to Deninger and Kurokawa). Zbl 0840.14001Manin, Yuri 50 1995 Generating functions in algebraic geometry and sums over trees. Zbl 0871.14022Manin, Yu. I. 19 1995 Problems on rational points and rational curves on algebraic varieties. Zbl 0847.14012Manin, Yu. I. 4 1995 Introduction to number theory. Zbl 0848.11001Manin, Yu. I.; Panchishkin, A. A. 2 1995 Gromov-Witten classes, quantum cohomology, and enumerative geometry. Zbl 0853.14020Kontsevich, M.; Manin, Yu. 214 1994 Notes on the arithmetic of Fano threefolds. Zbl 0780.14022Manin, Yu. I. 9 1993 Points of bounded height on del Pezzo surfaces. Zbl 0782.14033Manin, Yu. I.; Tschinkel, Yu. 4 1993 Notes on quantum groups and quantum de Rham complexes. Zbl 0810.17003Manin, Yu. I. 17 1992 Quantum groups and non-commutative differential geometry. Zbl 0947.46503Manin, Yu. I. 4 1992 Topics in noncommutative geometry. Zbl 0724.17007Manin, Yuri I. 99 1991 Three-dimensional hyperbolic geometry as \(\infty\)-adic Arakelov geometry. Zbl 0754.14014Manin, Yu. I. 25 1991 Mathematics as metaphor. Zbl 0742.00006Manin, Yuri Ivanovich 1 1991 ...and 134 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,894 Authors 52 Manin, Yuri Ivanovich 40 Marcolli, Matilde 27 Kupershmidt, Boris A. 20 Browning, Timothy Daniel 18 Choie, YoungJu 17 Fioresi, Rita 17 Kurokawa, Nobushige 17 Pukhlikov, Aleksandr Valentinovich 17 Tschinkel, Yuri 16 Lee, Minho 15 Çelik, Salih 13 Colliot-Thélène, Jean-Louis 13 Derenthal, Ulrich 13 Kapranov, Mikhail M. 13 Merkulov, Sergei A. 12 Panchishkin, Alexei A. 12 Shadrin, Sergey V. 11 Connes, Alain 11 Jahnel, Jörg 11 Majid, Shahn 11 Skorobogatov, Alexei Nikolaïevitch 10 Várilly-Alvarado, Anthony 10 Voronov, Alexander A. 10 Zagier, Don Bernard 10 Zhang, Ruibin 10 Zinger, Aleksey 9 Berger, Roland 9 Bruzzo, Ugo 9 Buium, Alexandru 9 Çelik, Sultan Abaci 9 de la Bretèche, Régis 9 Elsenhans, Andreas-Stephan 9 Iritani, Hiroshi 9 Jardim, Marcos 9 Kang, Ming-Chang 9 Mazur, Barry 9 Nekrasov, Nikita Alexandrovich 9 Nikolaev, Igor Vasilievich 9 Pandharipande, Rahul 9 Phùng Hô‘ Hài 9 Sánchez Valenzuela, Oscar Adolfo 8 Bouarroudj, Sofiane 8 Buryak, Alexandr Y. 8 Cho, Yong Seung 8 Guo, Li 8 Joyce, Dominic David 8 Landi, Giovanni 8 Leites, Dimitry A. 8 Lorscheid, Oliver 8 Loughran, Daniel 8 Morrison, David R. 8 Norbury, Paul T. 8 Sather-Wagstaff, Sean 8 Serganova, Vera V. 8 Woodward, Christopher T. 7 Biswas, Indranil 7 Bloch, Spencer J. 7 Cheltsov, Ivan Anatol’evich 7 Chung, Won-Sang 7 Coates, Tom 7 Diamantis, Nikolaos 7 Falqui, Gregorio 7 Goswami, Debashish 7 Guha, Partha 7 Kresch, Andrew 7 Liu, Qingping 7 Lorenzoni, Paolo 7 Mekareeya, Noppadol 7 Oort, Frans 7 Pestov, Vladimir G. 7 Poonen, Bjorn 7 Popov, Alexander D. 7 Ruan, Yongbin 7 Schechtman, Vadim 7 Schicho, Josef 7 Stichtenoth, Henning 7 Wess, Julius 7 Wolf, Martin 6 Arik, Metin 6 Beilinson, Alexander A. 6 Consani, Caterina 6 David, Liana 6 Dubois-Violette, Michel 6 Dubrovin, Boris Anatol’evich 6 Faenzi, Daniele 6 Gao, Yun 6 Gel’fand, Israil’ Moiseevich 6 Gille, Stefan G. 6 Guzzetti, Davide 6 Hertling, Claus 6 Hoshi, Akinari 6 Ichikawa, Takashi 6 Iskovskikh, Vasiliĭ Alekseevich 6 Kohnen, Winfried 6 Kollár, János 6 Kowalski, Piotr 6 Koyama, Shin-ya 6 Lim, Subong 6 Luef, Franz 6 Pavlov, Maxim V. ...and 3,794 more Authors all top 5 Cited in 367 Serials 194 Journal of Algebra 189 Communications in Mathematical Physics 159 Journal of Geometry and Physics 154 Journal of Mathematical Physics 141 Advances in Mathematics 117 Journal of High Energy Physics 97 Duke Mathematical Journal 95 Journal of Number Theory 94 Journal of Pure and Applied Algebra 91 Letters in Mathematical Physics 88 Inventiones Mathematicae 77 Transactions of the American Mathematical Society 71 Mathematische Annalen 64 Compositio Mathematica 61 Theoretical and Mathematical Physics 58 Journal of Mathematical Sciences (New York) 55 Nuclear Physics. B 52 Mathematische Zeitschrift 49 Journal of Soviet Mathematics 48 Functional Analysis and its Applications 45 Communications in Algebra 45 Annales de l’Institut Fourier 45 Proceedings of the American Mathematical Society 43 Manuscripta Mathematica 41 Journal de Théorie des Nombres de Bordeaux 36 Journal of Algebraic Geometry 34 Mathematical Notes 31 International Journal of Theoretical Physics 31 Proceedings of the Japan Academy. Series A 30 Journal of the American Mathematical Society 29 International Journal of Modern Physics A 29 International Journal of Geometric Methods in Modern Physics 26 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 26 Journal für die Reine und Angewandte Mathematik 24 Israel Journal of Mathematics 22 Geometry & Topology 20 International Journal of Mathematics 20 The Ramanujan Journal 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Mathematical Proceedings of the Cambridge Philosophical Society 18 Mathematics of Computation 18 Differential Geometry and its Applications 17 Algebras and Representation Theory 17 Journal of Nonlinear Mathematical Physics 17 Proceedings of the Steklov Institute of Mathematics 16 Journal of Symbolic Computation 16 Bulletin of the American Mathematical Society. New Series 16 Annals of Mathematics. Second Series 16 Journal of Algebra and its Applications 16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 Journal of Noncommutative Geometry 15 Archiv der Mathematik 15 Tohoku Mathematical Journal. Second Series 15 Advances in Applied Mathematics 15 Selecta Mathematica. New Series 14 Michigan Mathematical Journal 14 Finite Fields and their Applications 13 Bulletin de la Société Mathématique de France 13 Publications Mathématiques 13 Acta Applicandae Mathematicae 13 Physica D 13 Indagationes Mathematicae. 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Mathematics 9 European Journal of Mathematics 8 Glasgow Mathematical Journal 8 Journal of Combinatorial Theory. Series A 8 Mathematika 8 Memoirs of the American Mathematical Society 8 Proceedings of the London Mathematical Society. Third Series 8 Mathematics in Computer Science 8 Journal of Homotopy and Related Structures 8 Forum of Mathematics, Sigma 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Geometric and Functional Analysis. GAFA 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Algebraic Combinatorics 7 Nuclear Physics, B, Proceedings Supplements 7 Izvestiya: Mathematics 7 Journal of the European Mathematical Society (JEMS) ...and 267 more Serials all top 5 Cited in 60 Fields 1,663 Algebraic geometry (14-XX) 828 Quantum theory (81-XX) 788 Number theory (11-XX) 546 Nonassociative rings and algebras (17-XX) 473 Differential geometry (53-XX) 439 Associative rings and algebras (16-XX) 426 Global analysis, analysis on manifolds (58-XX) 282 Dynamical systems and ergodic theory (37-XX) 261 Partial differential equations (35-XX) 253 Category theory; homological algebra (18-XX) 231 Several complex variables and analytic spaces (32-XX) 202 Group theory and generalizations (20-XX) 158 Functional analysis (46-XX) 121 Relativity and gravitational theory (83-XX) 116 Manifolds and cell complexes (57-XX) 114 Commutative algebra (13-XX) 107 Algebraic topology (55-XX) 95 Combinatorics (05-XX) 83 Topological groups, Lie groups (22-XX) 67 Ordinary differential equations (34-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 59 Field theory and polynomials (12-XX) 58 Special functions (33-XX) 53 Mathematical logic and foundations (03-XX) 53 Convex and discrete geometry (52-XX) 47 Functions of a complex variable (30-XX) 47 Computer science (68-XX) 47 Mechanics of particles and systems (70-XX) 46 \(K\)-theory (19-XX) 42 Statistical mechanics, structure of matter (82-XX) 40 Information and communication theory, circuits (94-XX) 33 Operator theory (47-XX) 29 Fluid mechanics (76-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 21 Geometry (51-XX) 19 General and overarching topics; collections (00-XX) 18 Numerical analysis (65-XX) 16 Probability theory and stochastic processes (60-XX) 15 History and biography (01-XX) 14 Abstract harmonic analysis (43-XX) 10 Measure and integration (28-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 General topology (54-XX) 7 Difference and functional equations (39-XX) 7 Biology and other natural sciences (92-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Systems theory; control (93-XX) 4 General algebraic systems (08-XX) 4 Statistics (62-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Mechanics of deformable solids (74-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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