Edit Profile (opens in new tab) Krichever, Igor’ Moiseevich Compute Distance To: Compute Author ID: krichever.igor-moiseevich Published as: Krichever, I. M.; Krichever, I.; Krichever, Igor; Krichever, Igor M.; Krichever, Igor Moiseevich; Krichever, Ios. M. more...less Further Spellings: Кричевер Игорь Моисеевич; Кричевер, Игорь Моисеевич Homepage: http://www.math.columbia.edu/~krichev/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · GND · IdRef Documents Indexed: 154 Publications since 1971, including 1 Book 7 Contributions as Editor · 3 Further Contributions Biographic References: 1 Publication Co-Authors: 124 Co-Authors with 88 Joint Publications 3,928 Co-Co-Authors all top 5 Co-Authors 76 single-authored 32 Novikov, Sergeĭ Petrovich 10 Dubrovin, Boris Anatol’evich 10 Zabrodin, Anton V. 9 Bukhshtaber, Viktor Matveevich 9 Phong, Duong Hong 5 Wiegmann, Paul B. 4 D’Hoker, Eric 4 Grushevsky, Samuel 4 Lando, Sergei K. 3 Akhmet’shin, A. A. 3 Shiota, Takahiro 3 Vasil’ev, Viktor Anatol’evich 3 Veselov, Alexander Petrovich 3 Volvovsky, Yu. S. 2 Fomenko, Valentin Trofimovich 2 Fuchs, Dmitry Borisovich 2 Il’ina, A. V. 2 Ilyashenko, Yulij Sergeevich 2 Kozlov, Valeriĭ Vasil’evich 2 Lipan, Ovidiu 2 Manin, Yuri Ivanovich 2 Marshakov, Andrei V. 2 Maslov, Viktor Pavlovich 2 Mineev-Weinstein, Mark 2 Nekrasov, Nikita Alexandrovich 2 Ogievetsky, Oleg V. 2 Schwarz, Albert S. 2 Shlosman, Senya B. 2 Vershik, Anatoliĭ Moiseevich 1 Adler, Vsevolod Eduardovich 1 Allouche, Jean-Paul Simon 1 Aptekarev, Alexander Ivanovich 1 Arbarello, Enrico 1 Aref’eva, Irina Yaroslavna 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Avilov, V. V. 1 Babelon, Olivier 1 Berest, Yuri Yu. 1 Billey, E. 1 Bocharov, Alexei V. 1 Braden, Harry W. 1 Brezzi, Franco 1 Cai, Ronggen 1 Chalykh, Oleg A. 1 Chetverikov, Vladimir N. 1 Chirka, Evgeni M. 1 Dales, H. Garth 1 Dobrokhotov, Sergei Yurievich 1 Dolan, Louise 1 Drinfeld, Vladimir Gershonovich 1 Eguchi, Tohru 1 Eleonskij, V. M. 1 Ercolani, Nicholas M. 1 Etingof, Pavel Il’ich 1 Feigin, Misha V. 1 Felder, J. 1 Ferapontov, Evgeny Vladimirovich 1 Ferrara, Sergio 1 Gaifullin, Alexander A. 1 Gao, Changjun 1 Gao, Yihong 1 Ge, Xianhui 1 Gentili, Graziano 1 Gologan, Radu-Nicolae 1 Gorskiĭ, Aleksandr Sergeevich 1 Grinevich, Pëtr Georgievich 1 Gukov, Sergei 1 Gusein-Zade, Sabir M. 1 Hawking, Stephen William 1 Helemskii, Alexander Ya. 1 Hosono, Shinobu 1 Jacob, Christine 1 Jensen, Arne 1 Kac, Victor G. 1 Kashin, Boris Sergeevich 1 Kazaryan, Maxim Eduardovich 1 Kesel’man, V. M. 1 Khor’kova, Nina Grigor’evna 1 Khovanskiĭ, Askold Georgievich 1 Kontsevich, Maxim Lvovich 1 Kosmann-Schwarzbach, Yvette 1 Kostov, Ivan K. 1 Krasil’shchik, Iosif Semënovich 1 Krishchenko, Alexander P. 1 Kruzhilin, Nikolai Georgievich 1 Kulagin, N. E. 1 Levermore, C. David 1 Li, Miao 1 Liu, Kefeng 1 Lychagin, Valentin V. 1 Mal’tsev, Arkadiĭ Anatol’evich 1 Margulis, Grigoriĭ Aleksandrovich 1 Marini, Giambattista 1 Miller, Peter D. 1 Millionshchikov, Dmitriĭ Vladimirovich 1 Mironov, Andrei D. 1 Mishchenko, Aleksandr Sergeevich 1 Morozov, Alexei Yurievich 1 Nappi, Chiara R. ...and 45 more Co-Authors all top 5 Serials 23 Functional Analysis and its Applications 22 Russian Mathematical Surveys 9 Uspekhi Matematicheskikh Nauk [N. S.] 8 Funktsional’nyĭ Analiz i ego Prilozheniya 8 Soviet Mathematics. Doklady 7 Communications in Mathematical Physics 5 Soviet Scientific Reviews. Section C 3 Nuclear Physics. B 3 Acta Applicandae Mathematicae 3 Physica D 3 IMRN. International Mathematics Research Notices 3 Translations. Series 2. American Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Journal of Soviet Mathematics 2 Mathematics of the USSR. Izvestiya 2 Mathematics of the USSR, Sbornik 2 Soviet Physics. Doklady 2 Moscow Mathematical Journal 2 Proceedings of Symposia in Pure Mathematics 1 Inverse Problems 1 Matematicheskie Zametki 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematical Research Letters 1 European Mathematical Society Newsletter 1 Reviews in Mathematics and Mathematical Physics 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Classic Reviews in Mathematics and Mathematical Physics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Advanced Lectures in Mathematics (ALM) all top 5 Fields 78 Partial differential equations (35-XX) 74 Dynamical systems and ergodic theory (37-XX) 67 Algebraic geometry (14-XX) 33 Quantum theory (81-XX) 19 Differential geometry (53-XX) 15 Functions of a complex variable (30-XX) 13 Difference and functional equations (39-XX) 13 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Nonassociative rings and algebras (17-XX) 10 Several complex variables and analytic spaces (32-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 8 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 5 Ordinary differential equations (34-XX) 5 Algebraic topology (55-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Special functions (33-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 2,674 times in 1,499 Documents Cited by ▼ Year ▼ Theta functions and non-linear equations. Zbl 0549.58038Dubrovin, B. A. 166 1981 Integrability and Seiberg-Witten exact solution. Zbl 0997.81567Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A. 147 1995 Integration of nonlinear equations by the methods of algebraic geometry. Zbl 0368.35022Krichever, I. M. 133 1977 The \(\tau\)-function of the universal Whitham hierarchy, matrix models and topological field theories. Zbl 0811.58064Krichever, I. M. 119 1994 Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0386.35002Krichever, I. M. 113 1977 Theta-functions and non-linear equations. Zbl 0478.58038Dubrovin, B. A. 96 1981 Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088Krichever, I. M. 76 1988 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0473.35071Krichever, I. M. 75 1981 The dispersionless Lax equations and topological minimal models. Zbl 0753.35095Krichever, I. 69 1992 Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 69 1997 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010Krichever, I. M.; Novikov, S. P. 68 1987 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0548.35100Krichever, I. M.; Novikov, S. P. 59 1980 Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0372.35002Krichever, I. M. 55 1977 Algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions. Zbl 0361.35007Krichever, I. M. 47 1976 Spectral theory of two-dimensional periodic operators and its applications. Zbl 0699.35188Krichever, I. M. 46 1989 Integrable systems. I. Zbl 0780.58019Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 45 1985 Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line. Zbl 0408.70010Krichever, I. M. 44 1978 Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030Krichever, I.; Zabrodin, A. 44 1995 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012Krichever, I. M.; Novikov, S. P. 39 1987 The Schrödinger equation in a periodic field and Riemann surfaces. Zbl 0441.35021Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 39 1976 Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David 38 1995 Algebraic curves and nonlinear difference equations. Zbl 0382.39003Krichever, I. M. 37 1978 Die Integration nichtlinearer Gleichungen vermittels Methoden der algebraischen Geometrie. Zbl 0346.35028Krichever, I. M. 37 1977 Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069Krichever, I.; Babelon, O.; Billey, E.; Talon, M. 36 1995 The \(\tau\)-function for analytic curves. Zbl 0991.37050Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A. 33 2001 On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044Krichever, I. M.; Phong, D. H. 33 1997 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071Krichever, I. M.; Novikov, S. P. 31 1980 Commutative rings of ordinary linear differential operators. Zbl 0408.34008Krichever, I. M. 31 1978 Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019Krichever, I.; Marshakov, A.; Zabrodin, A. 30 2005 Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A. 29 2004 Vector bundles and Lax equations on algebraic curves. Zbl 1073.14048Krichever, I. 28 2002 Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010Krichever, I. 25 2002 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0462.35080Krichever, I. M. 24 1980 The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 24 1997 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0702.57006Krichever, I. M. 23 1990 Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations. Zbl 1004.37052Krichever, I. M. 21 1997 Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model. Zbl 0637.35060Krichever, I. M. 19 1986 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012Krichever, I. M.; Novikov, S. P. 19 1989 Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124Krichever, I.; Wiegmann, P.; Zabrodin, A. 19 1998 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068Krichever, I. M.; Novikov, S. P. 19 2003 Algebraic curves and non-linear difference equations. Zbl 0412.39002Krichever, I. M. 18 1978 Multi-phase solutions of the Benjamin-Ono equation and their averaging. Zbl 0752.35058Dobrokhotov, S. Yu.; Krichever, I. M. 17 1991 The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 17 1997 Symplectic forms in the theory of solitons. Zbl 0931.35148Krichever, I. M.; Phong, D. H. 16 1998 Nonlinear equations and elliptic curves. Zbl 0595.35087Krichever, I. M. 15 1983 Self-similar solutions of equations of Korteweg-deVries type. Zbl 0454.35078Krichever, I. M. 15 1981 Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2. Zbl 0434.35078Krichever, I. M.; Novikov, S. P. 14 1979 Potentials with zero coefficient of reflection on a background of finite- zone potentials. Zbl 0333.34022Krichever, I. M. 14 1975 The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 14 1997 The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces. Zbl 1213.14055Grushevsky, Samuel; Krichever, Igor 13 2010 General rational reductions of the KP hierarchy and their symmetries. Zbl 0868.35103Krichever, I. M. 13 1995 On rational solutions of the Kadomtsev-Petviashvili equation and on integrable systems of \(n\) particles on a line. Zbl 0374.70008Krichever, I. M. 13 1978 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122Krichever, I.; Novikov, S. P. 13 1999 Dynamical systems. IV: Integrable systems. Zbl 0591.58013Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 12 1985 The periodic and open Toda lattice. Zbl 1119.37333Krichever, I.; Vaninsky, K. L. 12 2002 Lax operator algebras. Zbl 1160.17017Krichever, I. M.; Sheinman, O. K. 11 2007 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122Krichever, I. M. 11 1992 Linear operators with self-consistent coefficients and rational reductions of KP hierarchy. Zbl 1194.37103Krichever, I. 11 1995 Characterizing Jacobians via trisecants of the Kummer variety. Zbl 1215.14031Krichever, Igor 11 2010 Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123Krichever, I. M. 11 1994 Commuting difference operators and the combinatorial Gale transform. Zbl 1331.47052Krichever, I. M. 11 2015 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 10 1987 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0692.57014Krichever, I. M. 10 1990 A characterization of Prym varieties. Zbl 1106.14017Krichever, I. 10 2006 Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0515.35005Krichever, I. M. 9 1983 Two-dimensional periodic difference operators and algebraic geometry. Zbl 0603.39004Krichever, I. M. 9 1985 An analogue of d’Alembert’s formula for the equations of the principal chiral field and for the Sine-Gordon equation. Zbl 0496.35073Krichever, I. M. 9 1980 Holomorphic vector bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0393.35061Krichever, I. M.; Novikov, S. P. 8 1978 “Hessians” of integrals of the Korteweg-de Vries equation and perturbations of finite-zone solutions. Zbl 0543.35087Krichever, I. M. 8 1983 Baxter’s equations and algebraic geometry. Zbl 0485.35078Krichever, I. M. 8 1981 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306Bukhshtaber, V. M.; Krichever, I. M. 8 2006 Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem. Zbl 1075.39012Krichever, I. M. 8 2004 Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M. 8 1999 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006Bukhshtaber, V. M.; Krichever, I. M. 8 1993 Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0404.35082Krichever, I. M.; Novikov, S. P. 7 1979 Algebraic curves and commuting matricial differential operators. Zbl 0347.35077Krichever, I. M. 7 1976 Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003Grushevsky, Samuel; Krichever, Igor 6 2015 On the rational solutions of Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0413.35008Krichever, I. M. 6 1979 Baxter equations and algebraic geometry. Zbl 0475.35072Krichever, I. M. 6 1981 Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Zbl 1217.14022Grushevsky, Samuel; Krichever, Igor 6 2010 Algebraic-geometrical methods in the theory of integrable equations and their perturbations. Zbl 0840.35095Krichever, I. 6 1995 Integrability: The Seiberg-Witten and Whitham equations. Zbl 0948.00012 6 2000 Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044Krichever, I.; Zabrodin, A. 6 1999 The periodic problems for two-dimensional integrable systems. Zbl 0744.35047Krichever, Igor 5 1991 Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 5 1982 Formal groups and the Atiyah-Hirzebruch formula. Zbl 0315.57021Krichever, I. M. 5 1976 A generating formula for solutions of the associativity equations. Zbl 0934.53032Akhmetshin, A. A.; Volvovskij, Yu. S.; Krichever, I. M. 5 1999 Soliton equations and the Riemann-Schottky problem. Zbl 1322.14008Krichever, I.; Shiota, T. 5 2013 Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020Arbarello, Enrico; Krichever, Igor; Marini, Giambattista 4 2006 Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E. 4 1986 Integrable linear equations and the Riemann-Schottky problem. Zbl 1132.14032Krichever, Igor M. 4 2006 Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109Krichever, I. M. 4 1994 Algebraische Kurven und kommutierbare Matrix-Differentialoperatoren. Zbl 0338.35082Krichever, I. M. 4 1976 Holomorphic bundles and nonlinear equations. Zbl 1194.37104Krichever, I. M.; Novikov, S. P. 4 1981 Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 4 1997 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502Buchstaber, V.; Krichever, I. 4 1996 Real normalized differentials and Arbarello’s conjecture. Zbl 1278.30041Krichever, I. M. 4 2012 Spin chain models with spectral curves from M theory. Zbl 0992.37062Krichever, I.; Phong, D. H. 4 2000 Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071Krichever, I.; Zabrodin, A. 3 2021 Real-normalized differentials: limits on stable curves. Zbl 1437.14033Grushevsky, S.; Krichever, I. M.; Norton, C. 3 2019 Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071Krichever, I.; Zabrodin, A. 3 2021 Incarnations of XXX \(\widehat{\mathfrak{sl}_N}\) Bethe ansatz equations and integrable hierarchies. Zbl 07377922Krichever, Igor; Varchenko, Alexander 1 2021 Real-normalized differentials: limits on stable curves. Zbl 1437.14033Grushevsky, S.; Krichever, I. M.; Norton, C. 3 2019 Triangular reductions of the \(2D\) Toda hierarchy. Zbl 1370.37127Ilina, A. V.; Krichever, I. M. 1 2017 Commuting difference operators and the combinatorial Gale transform. Zbl 1331.47052Krichever, I. M. 11 2015 Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003Grushevsky, Samuel; Krichever, Igor 6 2015 Amoebas, Ronkin function, and Monge-Ampère measures of algebraic curves with marked points. Zbl 1364.32008Krichever, I. 2 2014 Soliton equations and the Riemann-Schottky problem. Zbl 1322.14008Krichever, I.; Shiota, T. 5 2013 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 1307.35260Krichever, I. M. 2 2013 Real normalized differentials and Arbarello’s conjecture. Zbl 1278.30041Krichever, I. M. 4 2012 The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces. Zbl 1213.14055Grushevsky, Samuel; Krichever, Igor 13 2010 Characterizing Jacobians via trisecants of the Kummer variety. Zbl 1215.14031Krichever, Igor 11 2010 Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Zbl 1217.14022Grushevsky, Samuel; Krichever, Igor 6 2010 Lax operator algebras. Zbl 1160.17017Krichever, I. M.; Sheinman, O. K. 11 2007 A characterization of Prym varieties. Zbl 1106.14017Krichever, I. 10 2006 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306Bukhshtaber, V. M.; Krichever, I. M. 8 2006 Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020Arbarello, Enrico; Krichever, Igor; Marini, Giambattista 4 2006 Integrable linear equations and the Riemann-Schottky problem. Zbl 1132.14032Krichever, Igor M. 4 2006 Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019Krichever, I.; Marshakov, A.; Zabrodin, A. 30 2005 Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A. 29 2004 Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem. Zbl 1075.39012Krichever, I. M. 8 2004 Topological and algebraic geometry methods in contemporary mathematical physics. Zbl 1107.37003Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 1 2004 Integrable chains on algebraic curves. Zbl 1070.37052Krichever, I. 1 2004 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068Krichever, I. M.; Novikov, S. P. 19 2003 Vector bundles and Lax equations on algebraic curves. Zbl 1073.14048Krichever, I. 28 2002 Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010Krichever, I. 25 2002 The periodic and open Toda lattice. Zbl 1119.37333Krichever, I.; Vaninsky, K. L. 12 2002 Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system. Zbl 1033.37032Akhmet’shin, A. A.; Krichever, I. M.; Vol’vovskii, Yu. S. 2 2002 The \(\tau\)-function for analytic curves. Zbl 0991.37050Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A. 33 2001 Integrability: The Seiberg-Witten and Whitham equations. Zbl 0948.00012 6 2000 Spin chain models with spectral curves from M theory. Zbl 0992.37062Krichever, I.; Phong, D. H. 4 2000 Elliptic analog of the Toda lattice. Zbl 1001.37069Krichever, I. 3 2000 Holomorphic bundles and commuting difference operators. Two-point constructions. Zbl 0978.35066Krichever, I. M.; Novikov, S. P. 2 2000 Holomorphic bundles and scalar difference operators: single-point constructions. Zbl 1101.14315Krichever, I. M.; Novikov, S. P. 1 2000 Baker-Akhiezer functions and integrable systems. Zbl 0983.37090Krichever, I. M. 1 2000 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122Krichever, I.; Novikov, S. P. 13 1999 Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M. 8 1999 Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044Krichever, I.; Zabrodin, A. 6 1999 A generating formula for solutions of the associativity equations. Zbl 0934.53032Akhmetshin, A. A.; Volvovskij, Yu. S.; Krichever, I. M. 5 1999 Trivalent graphs and solitons. Zbl 0981.37023Krichever, I. M.; Novikov, S. P. 3 1999 Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124Krichever, I.; Wiegmann, P.; Zabrodin, A. 19 1998 Symplectic forms in the theory of solitons. Zbl 0931.35148Krichever, I. M.; Phong, D. H. 16 1998 Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 69 1997 On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044Krichever, I. M.; Phong, D. H. 33 1997 The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 24 1997 Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations. Zbl 1004.37052Krichever, I. M. 21 1997 The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 17 1997 The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 14 1997 Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 4 1997 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502Buchstaber, V.; Krichever, I. 4 1996 Integrability and Seiberg-Witten exact solution. Zbl 0997.81567Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A. 147 1995 Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030Krichever, I.; Zabrodin, A. 44 1995 Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David 38 1995 Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069Krichever, I.; Babelon, O.; Billey, E.; Talon, M. 36 1995 General rational reductions of the KP hierarchy and their symmetries. Zbl 0868.35103Krichever, I. M. 13 1995 Linear operators with self-consistent coefficients and rational reductions of KP hierarchy. Zbl 1194.37103Krichever, I. 11 1995 Algebraic-geometrical methods in the theory of integrable equations and their perturbations. Zbl 0840.35095Krichever, I. 6 1995 The \(\tau\)-function of the universal Whitham hierarchy, matrix models and topological field theories. Zbl 0811.58064Krichever, I. M. 119 1994 Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123Krichever, I. M. 11 1994 Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109Krichever, I. M. 4 1994 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006Bukhshtaber, V. M.; Krichever, I. M. 8 1993 The Cauchy problem for doubly periodic solutions of KP-II equation. Zbl 0854.35101Krichever, I. 1 1993 The dispersionless Lax equations and topological minimal models. Zbl 0753.35095Krichever, I. 69 1992 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122Krichever, I. M. 11 1992 Whitham theory for integrable systems and topological quantum field theories. Zbl 1221.37178Krichever, Igor Moiseevich 1 1992 Multi-phase solutions of the Benjamin-Ono equation and their averaging. Zbl 0752.35058Dobrokhotov, S. Yu.; Krichever, I. M. 17 1991 The periodic problems for two-dimensional integrable systems. Zbl 0744.35047Krichever, Igor 5 1991 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0702.57006Krichever, I. M. 23 1990 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0692.57014Krichever, I. M. 10 1990 Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0749.17031Krichever, I. M.; Novikov, S. P. 3 1990 Spectral theory of two-dimensional periodic operators and its applications. Zbl 0699.35188Krichever, I. M. 46 1989 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012Krichever, I. M.; Novikov, S. P. 19 1989 Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088Krichever, I. M. 76 1988 A periodic problem for the Kadomtsev-Petviashvili equation. Zbl 0699.35213Krichever, I. M. 2 1988 Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator’s theory of closed strings. Zbl 0707.17015Krichever, I. M.; Novikov, S. P. 2 1988 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010Krichever, I. M.; Novikov, S. P. 68 1987 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012Krichever, I. M.; Novikov, S. P. 39 1987 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 10 1987 Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model. Zbl 0637.35060Krichever, I. M. 19 1986 Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E. 4 1986 Integrable systems. I. Zbl 0780.58019Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 45 1985 Dynamical systems. IV: Integrable systems. Zbl 0591.58013Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 12 1985 Two-dimensional periodic difference operators and algebraic geometry. Zbl 0603.39004Krichever, I. M. 9 1985 The Laplace method, algebraic curves, and nonlinear equations. Zbl 0583.35086Krichever, I. M. 1 1984 Nonlinear equations and elliptic curves. Zbl 0595.35087Krichever, I. M. 15 1983 Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0515.35005Krichever, I. M. 9 1983 “Hessians” of integrals of the Korteweg-de Vries equation and perturbations of finite-zone solutions. Zbl 0543.35087Krichever, I. M. 8 1983 Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 5 1982 Algebro-geometric spectral theory of the Schrödinger difference operator and the Peierls model. Zbl 0527.39001Krichever, I. M. 1 1982 Theta functions and non-linear equations. Zbl 0549.58038Dubrovin, B. A. 166 1981 Theta-functions and non-linear equations. Zbl 0478.58038Dubrovin, B. A. 96 1981 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0473.35071Krichever, I. M. 75 1981 Self-similar solutions of equations of Korteweg-deVries type. Zbl 0454.35078Krichever, I. M. 15 1981 Baxter’s equations and algebraic geometry. Zbl 0485.35078Krichever, I. M. 8 1981 Baxter equations and algebraic geometry. Zbl 0475.35072Krichever, I. M. 6 1981 Holomorphic bundles and nonlinear equations. Zbl 1194.37104Krichever, I. M.; Novikov, S. P. 4 1981 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0548.35100Krichever, I. M.; Novikov, S. P. 59 1980 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071Krichever, I. M.; Novikov, S. P. 31 1980 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0462.35080Krichever, I. M. 24 1980 An analogue of d’Alembert’s formula for the equations of the principal chiral field and for the Sine-Gordon equation. Zbl 0496.35073Krichever, I. M. 9 1980 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,311 Authors 42 Krichever, Igor’ Moiseevich 30 Morozov, Alexei Yurievich 28 Mironov, Andrei D. 27 Geng, Xianguo 24 Grinevich, Pëtr Georgievich 22 Zabrodin, Anton V. 20 Sheĭnman, Oleg Karlovich 18 Veselov, Alexander Petrovich 17 Marshakov, Andrei V. 17 Mironov, Andreĭ Evgen’evich 17 Takasaki, Kanehisa 15 Bukhshtaber, Viktor Matveevich 15 Gorskiĭ, Aleksandr Sergeevich 14 Chalykh, Oleg A. 13 Enolskiĭ, Viktor Zelikovich 13 Gesztesy, Fritz 13 Kazakov, Vladimir A. 13 Nekrasov, Nikita Alexandrovich 13 Novikov, Sergeĭ Petrovich 13 Previato, Emma 11 Abenda, Simonetta 11 Dubrovin, Boris Anatol’evich 11 Ferapontov, Evgeny Vladimirovich 11 Gromov, Nikolay A. 11 Konopelchenko, Boris Georgievich 10 Bonelli, Giulio 10 Santini, Paolo Maria 10 Smirnov, Alexander O. 10 Taimanov, Iskander Asanovich 10 Tanzini, Alessandro 10 Zotov, Andrei V. 9 Hurtubise, Jacques C. 9 Koroteev, Peter 9 Novikov, Roman G. 9 Odesskii, Alexander 9 Volin, Dmytro 9 Zenkevich, Yegor 8 Bunkova, Elena Yur’evna 8 Harnad, John 8 He, Guoliang 8 Leurent, Sebastien 8 Miller, Peter D. 8 Pavlov, Maxim V. 8 Pogrebkov, Andrei K. 8 Ruijsenaars, Simon N. M. 8 Schlichenmaier, Martin 8 Tsuboi, Zengo 8 Tu, Minghsien 8 Zeng, Xin 8 Zheglov, Alexander B. 7 Bertola, Marco 7 Bobenko, Alexander Ivanovich 7 Chang, Jen-Hsu 7 Doliwa, Adam 7 El, Gennady A. 7 Hone, Andrew N. W. 7 Kasman, Alex 7 Natanzon, Sergei M. 7 Nijhoff, Frank W. 7 Sokolov, Vladimir Vyacheslavovich 7 Wei, Jiao 7 Zhai, Yunyun 6 Alexandrov, Alexander Sergeevich 6 Babelon, Olivier 6 Braden, Harry W. 6 Brini, Andrea 6 Carroll, Robert Wayne 6 Cox, Ben Lewis 6 D’Hoker, Eric 6 Falqui, Gregorio 6 Fan, Engui 6 Its, Alexander Rudolfovich 6 Khusnutdinova, Karima Robertovna 6 Kostov, Nikolay A. 6 Mariño, Marcos 6 Mokhov, Oleg I. 6 Nakayashiki, Atsushi 6 Ohta, Yűji 6 Olshanetsky, Mikhail A. 6 Ovsienko, Valentin Yu. 6 Phong, Duong Hong 6 Prykarpatsky, Anatoliy Karolevych 6 Treibich, Armando 6 Tsarev, Sergej Petrovich 6 Wu, Lihua 5 Adams, Malcolm R. 5 Awata, Hidetoshi 5 Cherednik, Ivan V. 5 Derkachëv, Sergeĭ Èduardovich 5 Dobrokhotov, Sergei Yurievich 5 Fairon, Maxime 5 Fehér, László Gy. 5 Gavrylenko, Pavlo 5 Gel’fand, Israil’ Moiseevich 5 Hou, Boyu 5 Igonin, Sergeĭ Aleksandrovich 5 Illarionov, Andrei A. 5 Itoyama, Hiroshi 5 Kanno, Hiroaki 5 Kimura, Taro ...and 1,211 more Authors all top 5 Cited in 190 Serials 112 Journal of Mathematical Physics 110 Theoretical and Mathematical Physics 104 Communications in Mathematical Physics 91 Journal of High Energy Physics 73 Functional Analysis and its Applications 68 Nuclear Physics. B 66 Journal of Geometry and Physics 58 Letters in Mathematical Physics 57 Physica D 32 Mathematical Notes 31 Journal of Nonlinear Mathematical Physics 26 Proceedings of the Steklov Institute of Mathematics 23 Duke Mathematical Journal 23 Journal of Soviet Mathematics 23 Acta Applicandae Mathematicae 20 International Journal of Modern Physics A 20 Journal of Mathematical Sciences (New York) 18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15 Journal of Physics A: Mathematical and Theoretical 14 Reviews in Mathematical Physics 13 Russian Mathematical Surveys 13 Siberian Mathematical Journal 12 Advances in Mathematics 12 Mathematische Annalen 11 Nonlinearity 11 Analysis and Mathematical Physics 10 Physics Letters. A 9 Journal of Nonlinear Science 8 Physics Letters. B 8 Chaos, Solitons and Fractals 8 Annales de l’Institut Fourier 8 Doklady Mathematics 7 Applicable Analysis 7 Communications on Pure and Applied Mathematics 7 Inventiones Mathematicae 7 Studies in Applied Mathematics 7 Transactions of the American Mathematical Society 7 International Journal of Mathematics 7 Journal of Statistical Mechanics: Theory and Experiment 6 Journal of Functional Analysis 6 Mathematische Zeitschrift 6 Mathematical Physics, Analysis and Geometry 6 Regular and Chaotic Dynamics 6 Complex Analysis and Operator Theory 5 Journal of Mathematical Analysis and Applications 5 Journal of Statistical Physics 5 Reports on Mathematical Physics 5 Ukrainian Mathematical Journal 5 Compositio Mathematica 5 Journal of Approximation Theory 5 Journal für die Reine und Angewandte Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 5 Transactions of the Moscow Mathematical Society 5 Applied Mathematics Letters 5 Sbornik: Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Computational Physics 4 Applied Mathematics and Computation 4 Journal of Differential Equations 4 Annals of Global Analysis and Geometry 4 Constructive Approximation 4 Bulletin of the American Mathematical Society. New Series 4 Selecta Mathematica. New Series 4 Annales Henri Poincaré 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Modern Physics Letters A 3 Journal of Fluid Mechanics 3 Acta Mathematica 3 Geometriae Dedicata 3 Publications Mathématiques 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 Proceedings of the Japan Academy. Series A 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Tôhoku Mathematical Journal. Second Series 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Indagationes Mathematicae. New Series 3 Bulletin des Sciences Mathématiques 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Institute of Mathematics of Jussieu 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Communications in Algebra 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Wave Motion 2 Manuscripta Mathematica 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Advances in Applied Mathematics 2 Journal of the American Mathematical Society 2 Differential Geometry and its Applications 2 Geometric and Functional Analysis. GAFA 2 SIAM Journal on Mathematical Analysis 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Russian Mathematics ...and 90 more Serials all top 5 Cited in 53 Fields 632 Dynamical systems and ergodic theory (37-XX) 494 Partial differential equations (35-XX) 448 Quantum theory (81-XX) 342 Algebraic geometry (14-XX) 131 Nonassociative rings and algebras (17-XX) 126 Differential geometry (53-XX) 117 Ordinary differential equations (34-XX) 99 Statistical mechanics, structure of matter (82-XX) 94 Functions of a complex variable (30-XX) 89 Global analysis, analysis on manifolds (58-XX) 86 Operator theory (47-XX) 78 Mechanics of particles and systems (70-XX) 77 Difference and functional equations (39-XX) 56 Special functions (33-XX) 55 Fluid mechanics (76-XX) 52 Several complex variables and analytic spaces (32-XX) 49 Associative rings and algebras (16-XX) 46 Relativity and gravitational theory (83-XX) 31 Commutative algebra (13-XX) 28 Manifolds and cell complexes (57-XX) 27 Topological groups, Lie groups (22-XX) 25 Numerical analysis (65-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 17 Number theory (11-XX) 17 Algebraic topology (55-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Group theory and generalizations (20-XX) 13 Optics, electromagnetic theory (78-XX) 12 Combinatorics (05-XX) 10 Probability theory and stochastic processes (60-XX) 9 Field theory and polynomials (12-XX) 9 Functional analysis (46-XX) 8 Convex and discrete geometry (52-XX) 7 Potential theory (31-XX) 7 Geometry (51-XX) 6 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 4 \(K\)-theory (19-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.