Edit Profile (opens in new tab) Kapranov, Mikhail M. Compute Distance To: Compute Author ID: kapranov.mikhail-m Published as: Kapranov, M. M.; Kapranov, Mikhail; Kapranov, M.; Kapranov, Mikhail M. more...less Homepage: http://users.math.yale.edu/~mk486/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 102 Publications since 1983, including 3 Books 2 Contributions as Editor · 1 Further Contribution Co-Authors: 43 Co-Authors with 71 Joint Publications 1,376 Co-Co-Authors all top 5 Co-Authors 31 single-authored 16 Zelevinskiĭ, Andreĭ V. 15 Gel’fand, Israil’ Moiseevich 10 Vasserot, Eric 6 Voevodskiĭ, Vladimir Aleksandrovich 5 Bondal, Alexey I. 5 Schechtman, Vadim 4 Ginzburg, Victor 4 Manin, Yuri Ivanovich 3 Ciocan-Fontanine, Ionuţ 3 Dyckerhoff, Tobias 3 Getzler, Ezra 3 Sturmfels, Bernd 2 Dolgachev, Igor’ Vladimirovich 2 Ganter, Nora 2 Kolyada, Sergiǐ Fedorovych 2 Moree, Pieter 2 Potyagailo, Leonid 2 Schiffmann, Olivier G. 1 Arkhipov, Sergey M. 1 Beilinson, Alexander A. 1 Berenstein, Arkady 1 Bernstein, Joseph 1 Bezrukavnikov, Roman 1 Billera, Louis J. 1 Bressler, Paul 1 Einsiedler, Manfred Leopold 1 Etingof, Pavel Il’ich 1 Faonte, Giovanni 1 Feĭgin, Boris L’vovich 1 Fomin, Sergey Vladimirovich 1 Franecki, J. 1 Hennion, Benjamin 1 Kazhdan, David A. 1 Kontsevich, Maxim Lvovich 1 Lind, Douglas A. 1 Merkur’ev, Aleksandr Sergeevich 1 Orlov, Dmitri O. 1 Panin, Ivan A. 1 Penner, Robert C. 1 Quillen, Daniel Gray 1 Routis, Evangelos 1 Saito, Masahico 1 Soibelman, Yan S. 1 Suslin, Andreĭ Aleksandrovich 1 Tsygan, Boris 1 Tyurin, Nikolaĭ Andreevich 1 Vishik, A. S. 1 Weyman, Jerzy M. all top 5 Serials 10 Advances in Mathematics 9 Functional Analysis and its Applications 5 Duke Mathematical Journal 4 Mathematische Annalen 4 Mathematics of the USSR. Izvestiya 4 Soviet Mathematics. Doklady 3 Russian Mathematical Surveys 3 Journal of Pure and Applied Algebra 3 Selecta Mathematica. New Series 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Compositio Mathematica 2 Journal für die Reine und Angewandte Mathematik 2 Journal of the American Mathematical Society 2 Transformation Groups 2 Pure and Applied Mathematics Quarterly 2 Lecture Notes in Mathematics 1 American Journal of Mathematics 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Leningrad Mathematical Journal 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 1 Documenta Mathematica 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contemporary Mathematics 1 Progress in Mathematics 1 Journal of Noncommutative Geometry 1 Japanese Journal of Mathematics. 3rd Series 1 Modern Birkhäuser Classics all top 5 Fields 70 Algebraic geometry (14-XX) 37 Category theory; homological algebra (18-XX) 20 Nonassociative rings and algebras (17-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Algebraic topology (55-XX) 11 Group theory and generalizations (20-XX) 9 Number theory (11-XX) 9 Associative rings and algebras (16-XX) 9 \(K\)-theory (19-XX) 9 Convex and discrete geometry (52-XX) 8 Topological groups, Lie groups (22-XX) 8 Special functions (33-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Quantum theory (81-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 3,273 times in 2,668 Documents Cited by ▼ Year ▼ Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 718 1994 Koszul duality for operads. Zbl 0855.18006Ginzburg, Victor; Kapranov, Mikhail 251 1994 Representable functors, Serre functors, and mutations. Zbl 0703.14011Bondal, A. I.; Kapranov, M. M. 140 1990 On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008Kapranov, M. M. 114 1988 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 112 2008 Chow quotients of Grassmannians. I. Zbl 0811.14043Kapranov, M. M. 105 1993 Non-archimedean amoebas and tropical varieties. Zbl 1115.14051Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas 103 2006 2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006Kapranov, M. M.; Voevodsky, V. A. 93 1994 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 86 1990 Enhanced triangulated categories. Zbl 0729.18008Bondal, A. I.; Kapranov, M. M. 80 1991 Modular operads. Zbl 0894.18005Getzler, E.; Kapranov, M. M. 75 1998 Cyclic operads and cyclic homology. Zbl 0883.18013Getzler, E.; Kapranov, M. M. 75 1995 Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 70 1989 Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026Kapranov, M. 61 1999 Langlands reciprocity for algebraic surfaces. Zbl 0914.11040Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 53 1995 Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020Kapranov, M. M. 52 1993 The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003Kapranov, Mikhail M. 49 1993 Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001Kapranov, M.; Vasserot, E. 48 2000 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 47 1992 Eisenstein series and quantum affine algebras. Zbl 0929.11015Kapranov, M. M. 42 1997 Equipped triangulated categories. Zbl 0719.18005Bondal, A. I.; Kapranov, M. M. 39 1990 Derived Quot schemes. Zbl 1050.14042Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 39 2001 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007Dolgachev, I.; Kapranov, M. 35 1993 Heisenberg doubles and derived categories. Zbl 0910.18005Kapranov, M. 33 1998 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 30 1991 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 29 2001 Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010Kapranov, M.; Voevodsky, V. 29 1994 Virtual fundamental classes via dg-manifolds. Zbl 1159.14002Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 29 2009 A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031Kapranov, M. M. 28 1991 On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023Kapranov, M. M. 27 1985 Representation and character theory in 2-categories. Zbl 1136.18001Ganter, Nora; Kapranov, Mikhail 27 2008 Noncommutative geometry based on conductor expansions. Zbl 0918.14001Kapranov, M. 26 1998 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 25 1992 Cellular strings on polytopes. Zbl 0812.52007Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 25 1994 Higher Segal spaces. Zbl 1459.18001Dyckerhoff, Tobias; Kapranov, Mikhail 24 2019 Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010Kapranov, M. M.; Voevodskij, V. A. 23 1991 Vertex algebras and the formal loop space. Zbl 1106.17038Kapranov, Mikhail; Vasserot, Eric 22 2004 Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005Voevodskij, V. A.; Kapranov, M. M. 19 1991 Derived Hilbert schemes. Zbl 1074.14003Ciocan-Fontanine, Ionut; Kapranov, Mikhail M. 18 2002 Triangulated surfaces in triangulated categories. Zbl 1403.18011Dyckerhoff, Tobias; Kapranov, Mikhail 18 2018 Free Lie algebroids and the space of paths. Zbl 1149.14003Kapranov, Mikhail 18 2007 The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016Franecki, J.; Kapranov, M. 16 2000 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 16 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 15 1990 Residue construction of Hecke algebras. Zbl 0884.22010Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 15 1997 Perverse schobers and birational geometry. Zbl 1436.14037Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 14 2018 Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005Kapranov, M. 14 2001 Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062Kapranov, M. M. 13 1995 Crossed simplicial groups and structured surfaces. Zbl 1373.18015Dyckerhoff, T.; Kapranov, M. 12 2015 Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062Kapranov, Mikhail; Schechtman, Vadim 12 2016 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 12 1990 Homogeneous bundles. Zbl 0742.14011Bondal, A. I.; Kapranov, M. M. 11 1990 Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022Kapranov, Mikhail; Vasserot, Éric 11 2007 The derived category of coherent sheaves on a quadric. Zbl 0607.18004Kapranov, M. M. 10 1986 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 10 1988 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 10 1993 \(\infty\)-groupoids and homotopy types. Zbl 0754.18008Kapranov, M. M.; Voevodskij, V. A. 9 1991 Symmetric and exterior powers of categories. Zbl 1307.18007Ganter, Nora; Kapranov, Mikhail 9 2014 On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005Kapranov, M. M. 8 1989 On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010Kapranov, M. M. 7 1991 Erratum to “Koszul duality for operads”. Zbl 0855.18007Ginzburg, V.; Kapranov, M. 7 1995 On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025Kapranov, M. M. 7 1988 Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012Kapranov, M. 7 2001 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 6 1989 Noncommutative geometry and path integrals. Zbl 1204.58008Kapranov, Mikhail 5 2009 Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025Kapranov, M.; Pimenov, S. 5 2017 The Hall algebra of a curve. Zbl 1366.16026Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric 5 2017 Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007Kapranov, M.; Vasserot, E. 5 2008 Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail 5 2019 Hypergeometric functions on reductive groups. Zbl 0987.33008Kapranov, Mikhail 4 1998 Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007Kapranov, M. M. 4 1983 Real mixed Hodge structures. Zbl 1276.14013Kapranov, Mikhail 4 2012 Shuffle algebras and perverse sheaves. Zbl 1464.14022Kapranov, Mikhail; Schechtman, Vadim 4 2020 Riemann-Roch for real varieties. Zbl 1230.14010Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric 3 2009 Algebra of the infrared and secondary polytopes. Zbl 1348.81424Kapranov, M.; Kontsevich, M.; Soibelman, Y. 3 2016 Microlocal sheaves and quiver varieties. Zbl 1370.14026Bezrukavnikov, Roman; Kapranov, Mikhail 3 2016 Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002Kapranov, Mikhail M.; Saito, Masahico 3 1999 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1989 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1990 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037Gelfand, I. M.; Kapranov, M. M. 3 1993 Supersymmetry and the formal loop space. Zbl 1219.14026Kapranov, Mikhail; Vasserot, Eric 3 2011 The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025Kapranov, M. M.; Manin, Yu. I. 2 1986 Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032Kapranov, M. M. 2 1987 \(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015Voevodskij, V. A.; Kapranov, M. M. 2 1990 Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006Kapranov, Mikhail 2 2000 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011Dolgachev, I.; Kapranov, M. 2 1993 A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055Kapranov, M. 2 1995 Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043Arkhipov, Sergey; Kapranov, Mikhail 2 2006 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 1 1991 Mutations and Serre functors on constructive bundles. Zbl 0744.55003Kapranov, M. M. 1 1990 Operads and algebraic geometry. Zbl 0928.18003Kapranov, M. 1 1998 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 Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012Kapranov, Mikhail; Schechtman, Vadim 1 2020 Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054Kapranov, M.; Schiffmann, O.; Vasserot, E. 1 2014 Shuffle algebras and perverse sheaves. Zbl 1464.14022Kapranov, Mikhail; Schechtman, Vadim 4 2020 Contingency tables with variable margins (with an appendix by Pavel Etingof). Zbl 1454.05012Kapranov, Mikhail; Schechtman, Vadim 1 2020 Higher Segal spaces. Zbl 1459.18001Dyckerhoff, Tobias; Kapranov, Mikhail 24 2019 Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles. Zbl 1409.14027Faonte, Giovanni; Hennion, Benjamin; Kapranov, Mikhail 5 2019 Triangulated surfaces in triangulated categories. Zbl 1403.18011Dyckerhoff, Tobias; Kapranov, Mikhail 18 2018 Perverse schobers and birational geometry. Zbl 1436.14037Bondal, Alexey; Kapranov, Mikhail; Schechtman, Vadim 14 2018 Derived varieties of complexes and Kostant’s theorem for \(\mathfrak{gl}(m|n)\). Zbl 1433.17025Kapranov, M.; Pimenov, S. 5 2017 The Hall algebra of a curve. Zbl 1366.16026Kapranov, Mikhail; Schiffmann, Olivier; Vasserot, Eric 5 2017 Perverse sheaves over real hyperplane arrangements. Zbl 1360.14062Kapranov, Mikhail; Schechtman, Vadim 12 2016 Algebra of the infrared and secondary polytopes. Zbl 1348.81424Kapranov, M.; Kontsevich, M.; Soibelman, Y. 3 2016 Microlocal sheaves and quiver varieties. Zbl 1370.14026Bezrukavnikov, Roman; Kapranov, Mikhail 3 2016 Crossed simplicial groups and structured surfaces. Zbl 1373.18015Dyckerhoff, T.; Kapranov, M. 12 2015 Symmetric and exterior powers of categories. Zbl 1307.18007Ganter, Nora; Kapranov, Mikhail 9 2014 Spherical Hall algebra of \(\overline{\text{Spec}(\mathbb Z)}\). Zbl 1357.11054Kapranov, M.; Schiffmann, O.; Vasserot, E. 1 2014 Real mixed Hodge structures. Zbl 1276.14013Kapranov, Mikhail 4 2012 Supersymmetry and the formal loop space. Zbl 1219.14026Kapranov, Mikhail; Vasserot, Eric 3 2011 Virtual fundamental classes via dg-manifolds. Zbl 1159.14002Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 29 2009 Noncommutative geometry and path integrals. Zbl 1204.58008Kapranov, Mikhail 5 2009 Riemann-Roch for real varieties. Zbl 1230.14010Bressler, Paul; Kapranov, Mikhail; Tsygan, Boris; Vasserot, Eric 3 2009 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 112 2008 Representation and character theory in 2-categories. Zbl 1136.18001Ganter, Nora; Kapranov, Mikhail 27 2008 Formal loops. III. Additive functions and the Radon transform. Zbl 1154.14007Kapranov, M.; Vasserot, E. 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 Free Lie algebroids and the space of paths. Zbl 1149.14003Kapranov, Mikhail 18 2007 Formal loops. II: A local Riemann-Roch theorem for determinantal gerbes. Zbl 1129.14022Kapranov, Mikhail; Vasserot, Éric 11 2007 Non-archimedean amoebas and tropical varieties. Zbl 1115.14051Einsiedler, Manfred; Kapranov, Mikhail; Lind, Douglas 103 2006 Toric arc schemes and quantum cohomology of toric varieties. Zbl 1097.14043Arkhipov, Sergey; Kapranov, Mikhail 2 2006 Vertex algebras and the formal loop space. Zbl 1106.17038Kapranov, Mikhail; Vasserot, Eric 22 2004 Derived Hilbert schemes. Zbl 1074.14003Ciocan-Fontanine, Ionut; Kapranov, Mikhail M. 18 2002 Derived Quot schemes. Zbl 1050.14042Ciocan-Fontanine, Ionuţ; Kapranov, Mikhail 39 2001 Modules and Morita theorem for operads. Zbl 1001.18004Kapranov, M.; Manin, Yu. 29 2001 Double affine Hecke algebras and \(2\)-dimensional local fields. Zbl 0958.20005Kapranov, M. 14 2001 Injective resolutions of \(BG\) and derived moduli spaces of local systems. Zbl 0972.18012Kapranov, M. 7 2001 Kleinian singularities, derived categories and Hall algebras. Zbl 0997.14001Kapranov, M.; Vasserot, E. 48 2000 The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties. Zbl 1021.14016Franecki, J.; Kapranov, M. 16 2000 Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic. Zbl 1008.20006Kapranov, Mikhail 2 2000 Rozansky-Witten invariants via Atiyah classes. Zbl 0993.53026Kapranov, M. 61 1999 Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002Kapranov, Mikhail M.; Saito, Masahico 3 1999 Modular operads. Zbl 0894.18005Getzler, E.; Kapranov, M. M. 75 1998 Heisenberg doubles and derived categories. Zbl 0910.18005Kapranov, M. 33 1998 Noncommutative geometry based on conductor expansions. Zbl 0918.14001Kapranov, M. 26 1998 Hypergeometric functions on reductive groups. Zbl 0987.33008Kapranov, Mikhail 4 1998 Operads and algebraic geometry. Zbl 0928.18003Kapranov, M. 1 1998 Eisenstein series and quantum affine algebras. Zbl 0929.11015Kapranov, M. M. 42 1997 Residue construction of Hecke algebras. Zbl 0884.22010Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 15 1997 Cyclic operads and cyclic homology. Zbl 0883.18013Getzler, E.; Kapranov, M. M. 75 1995 Langlands reciprocity for algebraic surfaces. Zbl 0914.11040Ginzburg, Victor; Kapranov, Mikhail; Vasserot, Eric 53 1995 Analogies between the Langlands correspondence and topological quantum field theory. Zbl 0858.11062Kapranov, M. M. 13 1995 Erratum to “Koszul duality for operads”. Zbl 0855.18007Ginzburg, V.; Kapranov, M. 7 1995 A higher-dimensional generalization of the Goss zeta function. Zbl 0819.11055Kapranov, M. 2 1995 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 718 1994 Koszul duality for operads. Zbl 0855.18006Ginzburg, Victor; Kapranov, Mikhail 251 1994 2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006Kapranov, M. M.; Voevodsky, V. A. 93 1994 Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010Kapranov, M.; Voevodsky, V. 29 1994 Cellular strings on polytopes. Zbl 0812.52007Billera, Louis J.; Kapranov, M. M.; Sturmfels, Bernd 25 1994 Chow quotients of Grassmannians. I. Zbl 0811.14043Kapranov, M. M. 105 1993 Veronese curves and Grothendieck-Knudsen moduli space \(\overline{M_{0,n}}\). Zbl 0790.14020Kapranov, M. M. 52 1993 The permutoassociahedron, Mac Lane’s coherence theorem and asymptotic zones for the KZ equation. Zbl 0812.18003Kapranov, Mikhail M. 49 1993 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007Dolgachev, I.; Kapranov, M. 35 1993 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 10 1993 On the dimension and degree of the projective dual variety: A \(q\)-analog of the Katz-Kleiman formula. Zbl 0828.14037Gelfand, I. M.; Kapranov, M. M. 3 1993 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011Dolgachev, I.; Kapranov, M. 2 1993 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 47 1992 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 25 1992 Enhanced triangulated categories. Zbl 0729.18008Bondal, A. I.; Kapranov, M. M. 80 1991 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 30 1991 A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. Zbl 0714.14031Kapranov, M. M. 28 1991 Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010Kapranov, M. M.; Voevodskij, V. A. 23 1991 Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005Voevodskij, V. A.; Kapranov, M. M. 19 1991 \(\infty\)-groupoids and homotopy types. Zbl 0754.18008Kapranov, M. M.; Voevodskij, V. A. 9 1991 On DG-modules over the De Rham complex and the vanishing cycles functor. Zbl 0757.14010Kapranov, M. M. 7 1991 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 1 1991 Representable functors, Serre functors, and mutations. Zbl 0703.14011Bondal, A. I.; Kapranov, M. M. 140 1990 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 86 1990 Equipped triangulated categories. Zbl 0719.18005Bondal, A. I.; Kapranov, M. M. 39 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 16 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 15 1990 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 12 1990 Homogeneous bundles. Zbl 0742.14011Bondal, A. I.; Kapranov, M. M. 11 1990 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1990 \(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015Voevodskij, V. A.; Kapranov, M. M. 2 1990 Mutations and Serre functors on constructive bundles. Zbl 0744.55003Kapranov, M. M. 1 1990 Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 70 1989 On the derived category and K-functor of coherent sheaves on intersections of quadrics. Zbl 0679.14005Kapranov, M. M. 8 1989 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 6 1989 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1989 On the derived categories of coherent sheaves on some homogeneous spaces. Zbl 0651.18008Kapranov, M. M. 114 1988 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 10 1988 On cuspidal divisors on the modular varieties of elliptic modules. Zbl 0664.14025Kapranov, M. M. 7 1988 Parabolic divisors on modular varieties of elliptic modules. Zbl 0627.14032Kapranov, M. M. 2 1987 The derived category of coherent sheaves on a quadric. Zbl 0607.18004Kapranov, M. M. 10 1986 The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory. Zbl 0614.32025Kapranov, M. M.; Manin, Yu. I. 2 1986 On the derived category of coherent sheaves on Grassmann manifolds. Zbl 0564.14023Kapranov, M. M. 27 1985 Derived category of coherent sheaves on Grassmann varieties. Zbl 0571.14007Kapranov, M. M. 4 1983 all cited Publications top 5 cited Publications all top 5 Cited by 2,669 Authors 39 Kapranov, Mikhail M. 34 Sturmfels, Bernd 23 Dickenstein, Alicia M. 19 Katzarkov, Ludmil 18 Van den Bergh, Michel 17 Mirò-Roig, Rosa Maria 17 Tabuada, Gonçalo 16 Markl, Martin 14 Jing, Naihuan 13 Emiris, Ioannis Z. 13 Ottaviani, Giorgio Maria 13 Tsikh, Avgust Karlovich 12 Orlov, Dmitri O. 11 Bremner, Murray R. 11 Busé, Laurent 11 Costa, Laura 11 Manivel, Laurent 11 Matusevich, Laura Felicia 11 Polishchuk, Alexander Evgen’evich 11 Rojas, J. Maurice 11 Schiffmann, Olivier G. 11 Willwacher, Thomas Hans 11 Zhang, Weinian 10 D’Andrea, Carlos 10 Faenzi, Daniele 10 Forsgård, Jens 10 Joswig, Michael 10 Lunts, Valery A. 10 Morozov, Alexei Yurievich 10 Vallette, Bruno 10 Vasserot, Eric 10 Xu, Ping 9 Kock, Joachim 9 Mikhalkin, Evgeniĭ N. 9 Santos, Francisco 9 Takeuchi, Kiyoshi 9 Zelevinskiĭ, Andreĭ V. 8 Dotsenko, Vladimir Viktorovich 8 Favero, David 8 Fresse, Benoit 8 Gaubert, Stéphane 8 Jeronimo, Gabriela 8 Kuznetsov, Aleksandr Gennad’evich 8 Lazarev, Andrey 8 Moon, Han-Bom 8 Nisse, Mounir 8 Reiner, Victor 8 Remm, Elisabeth 8 Sadykov, Timur Mradovich 8 Stiénon, Mathieu 8 Takayama, Nobuki 8 Toën, Bertrand 8 Walther, Uli 8 Yau, Donald Y. 8 Young, Matthew B. 8 Zhang, Haicheng 7 Ballard, Matthew Robert 7 Calaque, Damien 7 Cattani, Eduardo H. 7 de Wolff, Timo 7 Esterov, Alexander I. 7 Francis, John 7 Gao, Xiaoshan 7 Giansiracusa, Noah 7 Giraudo, Samuele 7 Hausen, Jürgen 7 Isaev, Alexander 7 Katz, Eric 7 Li, Wei 7 Merkulov, Sergei A. 7 Mikhalkin, Grigory B. 7 Mourrain, Bernard 7 Passare, Mikael 7 Pilaud, Vincent 7 Pournin, Lionel 7 Shustin, Eugenii Isaakovich 7 Sibilla, Nicolò 7 Soares, Helena 7 Theobald, Thorsten 7 Ueda, Kazushi 7 Vallès, Jean 7 Xu, Fan 7 Yuan, Chunming 6 Antipova, Irina Avgustovna 6 Berest, Yuri Yu. 6 Berkesch Zamaere, Christine 6 Bernardara, Marcello 6 Billera, Louis J. 6 Bolognesi, Michele 6 Chan, Kwokwai 6 Craw, Alastair 6 Dyckerhoff, Tobias 6 Elgueta, Josep 6 Fernández-Fernández, María-Cruz 6 Holweck, Frédéric 6 Hosono, Shinobu 6 Huh, Sukmoon 6 Iritani, Hiroshi 6 Iyama, Osamu 6 Kajiura, Hiroshige ...and 2,569 more Authors all top 5 Cited in 333 Serials 247 Advances in Mathematics 140 Journal of Algebra 98 Journal of Pure and Applied Algebra 78 Journal of Symbolic Computation 69 Transactions of the American Mathematical Society 68 Communications in Mathematical Physics 54 Selecta Mathematica. New Series 52 Duke Mathematical Journal 47 Proceedings of the American Mathematical Society 44 Compositio Mathematica 44 Mathematische Annalen 41 Journal of High Energy Physics 40 Communications in Algebra 39 Linear Algebra and its Applications 37 Mathematische Zeitschrift 36 Annales de l’Institut Fourier 34 Journal of Mathematical Physics 29 Discrete & Computational Geometry 29 Algebraic & Geometric Topology 28 Letters in Mathematical Physics 25 Journal of Geometry and Physics 24 Applied Categorical Structures 22 Journal of Combinatorial Theory. Series A 22 Advances in Applied Mathematics 22 Geometry & Topology 22 Journal of Noncommutative Geometry 21 Manuscripta Mathematica 21 Journal of Algebraic Combinatorics 21 Journal of Algebraic Geometry 20 Inventiones Mathematicae 20 Journal of Mathematical Sciences (New York) 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Journal of Homotopy and Related Structures 17 Journal of the American Mathematical Society 17 Algebras and Representation Theory 16 Nuclear Physics. B 16 European Journal of Mathematics 15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14 Functional Analysis and its Applications 14 Journal of the European Mathematical Society (JEMS) 14 Journal of Siberian Federal University. Mathematics & Physics 13 Michigan Mathematical Journal 13 Tohoku Mathematical Journal. Second Series 13 Theory and Applications of Categories 13 Journal of Algebra and its Applications 12 Theoretical and Mathematical Physics 12 Mathematics of Computation 12 Collectanea Mathematica 12 Journal of Number Theory 12 Journal für die Reine und Angewandte Mathematik 12 Forum of Mathematics, Sigma 11 Linear and Multilinear Algebra 11 Memoirs of the American Mathematical Society 11 European Journal of Combinatorics 11 International Journal of Mathematics 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Transformation Groups 10 Israel Journal of Mathematics 10 Annals of Mathematics. Second Series 10 Proceedings of the Steklov Institute of Mathematics 9 Mathematische Nachrichten 9 Nagoya Mathematical Journal 9 SIAM Journal on Applied Algebra and Geometry 8 Beiträge zur Algebra und Geometrie 8 Topology and its Applications 8 Communications in Contemporary Mathematics 8 Foundations of Computational Mathematics 8 Journal of the Institute of Mathematics of Jussieu 8 International Journal of Geometric Methods in Modern Physics 8 Science China. Mathematics 8 Research in the Mathematical Sciences 7 Journal of Mathematical Analysis and Applications 7 Russian Mathematical Surveys 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 Journal of the London Mathematical Society. Second Series 7 Theoretical Computer Science 7 Revista Matemática Iberoamericana 7 Advances in Geometry 6 Mathematical Notes 6 Publications Mathématiques 6 Journal of Differential Equations 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 \(K\)-Theory 6 Forum Mathematicum 6 Differential Geometry and its Applications 6 Finite Fields and their Applications 6 Documenta Mathematica 6 Journal de l’École Polytechnique – Mathématiques 5 International Journal of Mathematics and Mathematical Sciences 5 Mathematika 5 Osaka Journal of Mathematics 5 Journal of Complexity 5 The Journal of Geometric Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Indagationes Mathematicae. New Series 5 St. Petersburg Mathematical Journal 5 Annales Mathématiques Blaise Pascal 5 Advances in Applied Clifford Algebras ...and 233 more Serials all top 5 Cited in 61 Fields 1,255 Algebraic geometry (14-XX) 639 Category theory; homological algebra (18-XX) 416 Associative rings and algebras (16-XX) 329 Nonassociative rings and algebras (17-XX) 258 Quantum theory (81-XX) 256 Commutative algebra (13-XX) 232 Several complex variables and analytic spaces (32-XX) 224 Convex and discrete geometry (52-XX) 201 Differential geometry (53-XX) 196 Algebraic topology (55-XX) 194 Combinatorics (05-XX) 146 Group theory and generalizations (20-XX) 128 Linear and multilinear algebra; matrix theory (15-XX) 128 Manifolds and cell complexes (57-XX) 125 Computer science (68-XX) 114 Number theory (11-XX) 102 Special functions (33-XX) 91 Field theory and polynomials (12-XX) 86 \(K\)-theory (19-XX) 72 Global analysis, analysis on manifolds (58-XX) 66 Numerical analysis (65-XX) 54 Topological groups, Lie groups (22-XX) 53 Dynamical systems and ergodic theory (37-XX) 45 Ordinary differential equations (34-XX) 37 Partial differential equations (35-XX) 37 Relativity and gravitational theory (83-XX) 36 Functions of a complex variable (30-XX) 35 Geometry (51-XX) 32 Difference and functional equations (39-XX) 32 Biology and other natural sciences (92-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 31 Functional analysis (46-XX) 26 Real functions (26-XX) 24 Operations research, mathematical programming (90-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Probability theory and stochastic processes (60-XX) 17 Mathematical logic and foundations (03-XX) 15 Statistics (62-XX) 14 Operator theory (47-XX) 8 General and overarching topics; collections (00-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Mechanics of particles and systems (70-XX) 7 History and biography (01-XX) 7 General topology (54-XX) 7 Systems theory; control (93-XX) 6 General algebraic systems (08-XX) 6 Information and communication theory, circuits (94-XX) 5 Approximations and expansions (41-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-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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