Edit Profile 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. Homepage: http://www.math.columbia.edu/~krichev/ External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · GND · IdRef Documents Indexed: 159 Publications since 1971, including 8 Books all top 5 Co-Authors 76 single-authored 32 Novikov, Sergeĭ Petrovich 9 Bukhshtaber, Viktor Matveevich 9 Zabrodin, Anton V. 8 Dubrovin, Boris Anatol’evich 8 Phong, Duong Hong 5 Wiegmann, Paul B. 4 Grushevsky, Samuel 3 Akhmet’shin, A. A. 3 D’Hoker, Eric 3 Lando, Sergei K. 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 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 Chalykh, Oleg A. 1 Chetverikov, Vladimir N. 1 Chirka, Evgeni M. 1 Dales, H. Garth 1 Dobrokhotov, Sergei Yurievich 1 Drinfeld, Vladimir Gershonovich 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 Gaifullin, Alexander A. 1 Gentili, Graziano 1 Gologan, Radu-Nicolae 1 Gorskiĭ, Aleksandr Sergeevich 1 Grinevich, Pëtr Georgievich 1 Gromov, Mikhael Leonidovich 1 Gusein-Zade, Sabir M. 1 Helemskii, Alexander Ya. 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 Lychagin, Valentin V. 1 Mal’tsev, Arkadiĭ Anatol’evich 1 Margulis, Grigoriĭ Aleksandrovich 1 Marini, Giambattista 1 Marvan, Michal 1 Miller, Peter D. 1 Millionshchikov, Dmitriĭ Vladimirovich 1 Mironov, Andrei D. 1 Mishchenko, Aleksandr Sergeevich 1 Morozov, Alexei Yurievich 1 Natanzon, Sergei M. 1 Nekrasov, Nikita Alexandrovich 1 Nemirovskiĭ, Stefan Yur’evich 1 Panov, Taras E. 1 Pisanski, Tomaž 1 Polyakov, Aleksandr Markovich 1 Quirós Gracián, Adolfo 1 Reshetikhin, Nikolai Yu. 1 Reshetnyak, Yuriĭ Grigor’evich 1 Rubtsov, Vladimir Nikolaevich 1 Samokhin, Alexey V. 1 ...and 27 more Co-Authors all top 5 Serials 23 Functional Analysis and its Applications 21 Russian Mathematical Surveys 8 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 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 Letters in Mathematical Physics 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 Classic Reviews in Mathematics and Mathematical Physics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 74 Partial differential equations (35-XX) 72 Dynamical systems and ergodic theory (37-XX) 63 Algebraic geometry (14-XX) 31 Quantum theory (81-XX) 17 Differential geometry (53-XX) 13 Functions of a complex variable (30-XX) 13 Difference and functional equations (39-XX) 13 Manifolds and cell complexes (57-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Nonassociative rings and algebras (17-XX) 10 Several complex variables and analytic spaces (32-XX) 8 History and biography (01-XX) 8 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Algebraic topology (55-XX) 5 Mechanics of particles and systems (70-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 126 Publications have been cited 2,306 times in 1,437 Documents Cited by ▼ Year ▼ Integrability and Seiberg-Witten exact solution. Zbl 0997.81567Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A. 144 1995 Integration of nonlinear equations by the methods of algebraic geometry. Zbl 0368.35022Krichever, I. M. 124 1977 The \(\tau\)-function of the universal Whitham hierarchy, matrix models and topological field theories. Zbl 0811.58064Krichever, I. M. 117 1994 Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0386.35002Krichever, I. M. 110 1977 Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088Krichever, I. M. 74 1988 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0473.35071Krichever, I. M. 71 1981 The dispersionless Lax equations and topological minimal models. Zbl 0753.35095Krichever, I. 68 1992 Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 68 1997 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010Krichever, I. M.; Novikov, S. P. 67 1987 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0548.35100Krichever, I. M.; Novikov, S. P. 58 1980 Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0372.35002Krichever, I. M. 55 1977 Integrable systems. I. Zbl 0780.58019Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 45 1985 Algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions. Zbl 0361.35007Krichever, I. M. 44 1976 Spectral theory of two-dimensional periodic operators and its applications. Zbl 0699.35188Krichever, I. M. 42 1989 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. 40 1995 Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line. Zbl 0408.70010Krichever, I. M. 38 1978 The Schrödinger equation in a periodic field and Riemann surfaces. Zbl 0441.35021Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 38 1976 Die Integration nichtlinearer Gleichungen vermittels Methoden der algebraischen Geometrie. Zbl 0346.35028Krichever, I. M. 37 1977 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012Krichever, I. M.; Novikov, S. P. 36 1987 Algebraic curves and nonlinear difference equations. Zbl 0382.39003Krichever, I. M. 35 1978 Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David 34 1995 Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069Krichever, I.; Babelon, O.; Billey, E.; Talon, M. 33 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. 30 1997 Commutative rings of ordinary linear differential operators. Zbl 0408.34008Krichever, I. M. 30 1978 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071Krichever, I. M.; Novikov, S. P. 29 1980 Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019Krichever, I.; Marshakov, A.; Zabrodin, A. 29 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. 27 2002 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0462.35080Krichever, I. M. 25 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 Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010Krichever, I. 22 2002 Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations. Zbl 1004.37052Krichever, I. M. 19 1997 Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124Krichever, I.; Wiegmann, P.; Zabrodin, A. 19 1998 Algebraic curves and non-linear difference equations. Zbl 0412.39002Krichever, I. M. 18 1978 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068Krichever, I. M.; Novikov, S. P. 18 2003 Multi-phase solutions of the Benjamin-Ono equation and their averaging. Zbl 0752.35058Dobrokhotov, S. Yu.; Krichever, I. M. 17 1991 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012Krichever, I. M.; Novikov, S. P. 17 1989 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 Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model. Zbl 0637.35060Krichever, I. M. 16 1986 Self-similar solutions of equations of Korteweg-deVries type. Zbl 0454.35078Krichever, I. M. 15 1981 The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 14 1997 Nonlinear equations and elliptic curves. Zbl 0595.35087Krichever, I. M. 14 1983 General rational reductions of the KP hierarchy and their symmetries. Zbl 0868.35103Krichever, I. M. 13 1995 Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2. Zbl 0434.35078Krichever, I. M.; Novikov, S. P. 13 1979 Potentials with zero coefficient of reflection on a background of finite- zone potentials. Zbl 0333.34022Krichever, I. M. 13 1975 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122Krichever, I.; Novikov, S. P. 12 1999 On rational solutions of the Kadomtsev-Petviashvili equation and on integrable systems of \(n\) particles on a line. Zbl 0374.70008Krichever, I. M. 12 1978 Dynamical systems. IV: Integrable systems. Zbl 0591.58013Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 12 1985 The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces. Zbl 1213.14055Grushevsky, Samuel; Krichever, Igor 12 2010 Characterizing Jacobians via trisecants of the Kummer variety. Zbl 1215.14031Krichever, Igor 11 2010 Linear operators with self-consistent coefficients and rational reductions of KP hierarchy. Zbl 1194.37103Krichever, I. 11 1995 Lax operator algebras. Zbl 1160.17017Krichever, I. M.; Sheinman, O. K. 11 2007 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 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122Krichever, I. M. 10 1992 Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123Krichever, I. M. 10 1994 Commuting difference operators and the combinatorial Gale transform. Zbl 1331.47052Krichever, I. M. 10 2015 The periodic and open Toda lattice. Zbl 1119.37333Krichever, I.; Vaninsky, K. L. 10 2002 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 Baxter’s equations and algebraic geometry. Zbl 0485.35078Krichever, I. M. 8 1981 Holomorphic vector bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0393.35061Krichever, I. M.; Novikov, S. P. 8 1978 A characterization of Prym varieties. Zbl 1106.14017Krichever, I. 8 2006 Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem. Zbl 1075.39012Krichever, I. M. 8 2004 Two-dimensional periodic difference operators and algebraic geometry. Zbl 0603.39004Krichever, I. M. 8 1985 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306Bukhshtaber, V. M.; Krichever, I. M. 8 2006 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. 7 1980 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006Bukhshtaber, V. M.; Krichever, I. M. 7 1993 Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0404.35082Krichever, I. M.; Novikov, S. P. 7 1979 Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M. 7 1999 Algebraic curves and commuting matricial differential operators. Zbl 0347.35077Krichever, I. M. 7 1976 Integrability: The Seiberg-Witten and Whitham equations. Zbl 0948.00012Braden, H. W. (ed.); Krichever, I. M. (ed.) 6 2000 Algebraic-geometrical methods in the theory of integrable equations and their perturbations. Zbl 0840.35095Krichever, I. 6 1995 Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044Krichever, I.; Zabrodin, A. 6 1999 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 Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 5 1982 The periodic problems for two-dimensional integrable systems. Zbl 0744.35047Krichever, Igor 5 1991 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 Formal groups and the Atiyah-Hirzebruch formula. Zbl 0315.57021Krichever, I. M. 5 1976 Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 4 1997 Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020Arbarello, Enrico; Krichever, Igor; Marini, Giambattista 4 2006 Holomorphic bundles and nonlinear equations. Zbl 1194.37104Krichever, I. M.; Novikov, S. P. 4 1981 Real normalized differentials and Arbarello’s conjecture. Zbl 1278.30041Krichever, I. M. 4 2012 Algebraische Kurven und kommutierbare Matrix-Differentialoperatoren. Zbl 0338.35082Krichever, I. M. 4 1976 Integrable linear equations and the Riemann-Schottky problem. Zbl 1132.14032Krichever, Igor M. 4 2006 Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003Grushevsky, Samuel; Krichever, Igor 4 2015 Elliptic analog of the Toda lattice. Zbl 1001.37069Krichever, I. 3 2000 Trivalent graphs and solitons. Zbl 0981.37023Krichever, I. M.; Novikov, S. P. 3 1999 Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0749.17031Krichever, I. M.; Novikov, S. P. 3 1990 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502Buchstaber, V.; Krichever, I. 3 1996 Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109Krichever, I. M. 3 1994 Automodel solutions of equations of Korteweg-de Vries type. Zbl 0439.35062Krichever, I. M. 3 1980 Spin chain models with spectral curves from M theory. Zbl 0992.37062Krichever, I.; Phong, D. H. 3 2000 Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E. 3 1986 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 07387988Krichever, I.; Zabrodin, A. 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. 10 2015 Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003Grushevsky, Samuel; Krichever, Igor 4 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 12 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. 8 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. 29 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. 18 2003 Vector bundles and Lax equations on algebraic curves. Zbl 1073.14048Krichever, I. 27 2002 Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010Krichever, I. 22 2002 The periodic and open Toda lattice. Zbl 1119.37333Krichever, I.; Vaninsky, K. L. 10 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 0948.00012Braden, H. W.; Krichever, I. M. 6 2000 Elliptic analog of the Toda lattice. Zbl 1001.37069Krichever, I. 3 2000 Spin chain models with spectral curves from M theory. Zbl 0992.37062Krichever, I.; Phong, D. H. 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. 12 1999 Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M. 7 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. 68 1997 On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044Krichever, I. M.; Phong, D. H. 30 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. 19 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. 3 1996 Integrability and Seiberg-Witten exact solution. Zbl 0997.81567Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A. 144 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. 40 1995 Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David 34 1995 Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069Krichever, I.; Babelon, O.; Billey, E.; Talon, M. 33 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. 117 1994 Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123Krichever, I. M. 10 1994 Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109Krichever, I. M. 3 1994 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006Bukhshtaber, V. M.; Krichever, I. M. 7 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. 68 1992 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122Krichever, I. M. 10 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. 42 1989 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012Krichever, I. M.; Novikov, S. P. 17 1989 Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088Krichever, I. M. 74 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. 67 1987 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012Krichever, I. M.; Novikov, S. P. 36 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. 16 1986 Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E. 3 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. 8 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. 14 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 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0473.35071Krichever, I. M. 71 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. 58 1980 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071Krichever, I. M.; Novikov, S. P. 29 1980 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0462.35080Krichever, I. M. 25 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. 7 1980 Automodel solutions of equations of Korteweg-de Vries type. Zbl 0439.35062Krichever, I. M. 3 1980 The inverse problem method and holomorphic bundles on Riemann surfaces. Zbl 0542.58016Krichever, I. M.; Novikov, S. P. 2 1980 Methods of algebraic geometry in contemporary mathematical physics. Zbl 0534.58001Drinfel’d, V. G.; Krichever, I. M.; Manin, Yu. I.; Novikov, S. P. 1 1980 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,261 Authors 40 Krichever, Igor’ Moiseevich 30 Morozov, Alexei Yurievich 28 Mironov, Andrei D. 25 Geng, Xianguo 22 Grinevich, Pëtr Georgievich 22 Zabrodin, Anton V. 20 Sheĭnman, Oleg Karlovich 19 Marshakov, Andrei V. 18 Veselov, Alexander Petrovich 17 Mironov, Andreĭ Evgen’evich 17 Zotov, Andrei V. 16 Takasaki, Kanehisa 15 Bukhshtaber, Viktor Matveevich 14 Chalykh, Oleg A. 14 Gorskiĭ, Aleksandr Sergeevich 13 Enolskiĭ, Viktor Zelikovich 13 Gesztesy, Fritz 13 Kazakov, Vladimir A. 13 Novikov, Sergeĭ Petrovich 13 Previato, Emma 12 Nekrasov, Nikita Alexandrovich 11 Dubrovin, Boris Anatol’evich 11 Ferapontov, Evgeny Vladimirovich 11 Gromov, Nikolay 11 Konopelchenko, Boris Georgievich 10 Bonelli, Giulio 10 Santini, Paolo Maria 10 Smirnov, Alexander O. 10 Taimanov, Iskander Asanovich 10 Tanzini, Alessandro 9 Hurtubise, Jacques C. 9 Novikov, Roman G. 9 Zenkevich, Yegor 8 Abenda, Simonetta 8 Bunkova, Elena Yur’evna 8 Harnad, John 8 Koroteev, Peter 8 Miller, Peter D. 8 Odesskii, Alexander 8 Pavlov, Maxim V. 8 Pogrebkov, Andrei K. 8 Ruijsenaars, Simon N. M. 8 Tsuboi, Zengo 8 Tu, Minghsien 8 Volin, Dmytro 8 Zeng, Xin 8 Zheglov, Alexander B. 7 Bobenko, Alexander Ivanovich 7 Chang, Jen-Hsu 7 El, Gennady A. 7 He, Guoliang 7 Hone, Andrew N. W. 7 Kasman, Alex 7 Leurent, Sebastien 7 Natanzon, Sergei M. 7 Nijhoff, Frank W. 7 Schlichenmaier, Martin 7 Sokolov, Vladimir Vyacheslavovich 6 Alexandrov, Alexander Sergeevich 6 Babelon, Olivier 6 Bertola, Marco 6 Braden, Harry W. 6 Cox, Ben Lewis 6 D’Hoker, Eric 6 Doliwa, Adam 6 Falqui, Gregorio 6 Fan, Engui 6 Its, Alexander Rudolfovich 6 Khusnutdinova, Karima Robertovna 6 Kostov, Nikolay A. 6 Mariño, Marcos 6 Medina, Elena 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 6 Zhai, Yunyun 5 Adams, Malcolm R. 5 Aminov, G. A. 5 Awata, Hidetoshi 5 Brini, Andrea 5 Cherednik, Ivan V. 5 Derkachëv, Sergeĭ Èduardovich 5 Dobrokhotov, Sergei Yurievich 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 Kuksin, Sergeĭ B. 5 Levkovich-Maslyuk, Fedor 5 Magri, Franco ...and 1,161 more Authors all top 5 Cited in 179 Serials 112 Journal of Mathematical Physics 109 Theoretical and Mathematical Physics 102 Communications in Mathematical Physics 87 Journal of High Energy Physics 73 Functional Analysis and its Applications 68 Nuclear Physics. 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Série VI 2 Russian Mathematics 2 Nuclear Physics, B, Proceedings Supplements 2 St. Petersburg Mathematical Journal 2 Integral Transforms and Special Functions 2 Nonlinear Dynamics ...and 79 more Serials all top 5 Cited in 53 Fields 606 Dynamical systems and ergodic theory (37-XX) 473 Partial differential equations (35-XX) 432 Quantum theory (81-XX) 324 Algebraic geometry (14-XX) 125 Nonassociative rings and algebras (17-XX) 118 Differential geometry (53-XX) 113 Ordinary differential equations (34-XX) 90 Functions of a complex variable (30-XX) 90 Statistical mechanics, structure of matter (82-XX) 88 Global analysis, analysis on manifolds (58-XX) 84 Operator theory (47-XX) 75 Mechanics of particles and systems (70-XX) 71 Difference and functional equations (39-XX) 55 Special functions (33-XX) 53 Fluid mechanics (76-XX) 47 Several complex variables and analytic spaces (32-XX) 47 Relativity and gravitational theory (83-XX) 43 Associative rings and algebras (16-XX) 29 Commutative algebra (13-XX) 28 Manifolds and cell complexes (57-XX) 26 Topological groups, Lie groups (22-XX) 23 Numerical analysis (65-XX) 21 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) 12 Optics, electromagnetic theory (78-XX) 11 Group theory and generalizations (20-XX) 10 Combinatorics (05-XX) 9 Probability theory and stochastic processes (60-XX) 8 Field theory and polynomials (12-XX) 8 Functional analysis (46-XX) 8 Convex and discrete geometry (52-XX) 7 Potential theory (31-XX) 6 Geometry (51-XX) 5 Integral transforms, operational calculus (44-XX) 4 \(K\)-theory (19-XX) 4 Approximations and expansions (41-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 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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