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Krichever, Igor’ Moiseevich (b. 1950 d. 2022)

Author ID: krichever.igor-moiseevich Recent zbMATH articles by "Krichever, Igor’ Moiseevich"
Published as: Krichever, I. M.; Krichever, I.; Krichever, Igor; Krichever, Igor M.; Krichever, Igor Moiseevich; Krichever, Ios. M.
Further Spellings: Кричевер Игорь Моисеевич
Homepage: http://www.math.columbia.edu/~krichev/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · GND · IdRef
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Co-Authors

80 single-authored
32 Novikov, Sergeĭ Petrovich
13 Zabrodin, Anton V.
10 Dubrovin, Boris Anatol’evich
10 Phong, Duong Hong
9 Bukhshtaber, Viktor Matveevich
5 D’Hoker, Eric
5 Wiegmann, Paul B.
4 Grushevsky, Samuel
4 Lando, Sergei K.
3 Akhmet’shin, A. A.
3 Nekrasov, Nikita Alexandrovich
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 Il’yashenko, Yuliĭ Sergeevich
2 Kozlov, Valeriĭ Vasil’evich
2 Lipan, Ovidiu
2 Manin, Yuriĭ 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 Takhtajan, Leon Armenovich
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, Evgeniĭ Mikhaĭlovich
1 Dales, Harold 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 Gromov, Mikhael Leonidovich
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
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
1 Korchemsky, Gregory P.
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 Marvan, Michal
1 Miller, Peter D.
1 Millionshchikov, Dmitriĭ Vladimirovich
...and 49 more Co-Authors
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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
4 Physica D
3 Letters in Mathematical Physics
3 Nuclear Physics. B
3 Acta Applicandae Mathematicae
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 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)

Publications by Year

Citations contained in zbMATH Open

137 Publications have been cited 3,123 times in 1,882 Documents Cited by Year
Integrability and Seiberg-Witten exact solution. Zbl 0997.81567
Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A.
219
1995
Theta functions and non-linear equations. Zbl 0549.58038
Dubrovin, B. A.
215
1981
Integration of nonlinear equations by the methods of algebraic geometry. Zbl 0368.35022
Krichever, I. M.
156
1977
The \(\tau\)-function of the universal Whitham hierarchy, matrix models and topological field theories. Zbl 0811.58064
Krichever, I. M.
151
1994
Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0386.35002
Krichever, I. M.
141
1977
Theta-functions and non-linear equations. Zbl 0478.58038
Dubrovin, B. A.
114
1981
Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
96
1997
Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088
Krichever, I. M.
95
1988
Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0473.35071
Krichever, I. M.
94
1981
Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010
Krichever, I. M.; Novikov, S. P.
91
1987
The dispersionless Lax equations and topological minimal models. Zbl 0753.35095
Krichever, I.
87
1992
Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0548.35100
Krichever, I. M.; Novikov, S. P.
67
1980
Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030
Krichever, I.; Zabrodin, A.
64
1995
Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0372.35002
Krichever, I. M.
61
1977
Algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions. Zbl 0361.35007
Krichever, I. M.
59
1976
Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line. Zbl 0408.70010
Krichever, I. M.
59
1978
Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012
Krichever, I. M.; Novikov, S. P.
57
1987
Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065
Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David
54
1995
Spectral theory of two-dimensional periodic operators and its applications. Zbl 0699.35188
Krichever, I. M.
51
1989
The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380
D’Hoker, Eric; Krichever, I. M.; Phong, D. H.
47
1997
The Schrödinger equation in a periodic field and Riemann surfaces. Zbl 0441.35021
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
46
1976
Integrable systems. I. Zbl 0780.58019
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
46
1985
Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069
Krichever, I.; Babelon, O.; Billey, E.; Talon, M.
44
1995
Algebraic curves and nonlinear difference equations. Zbl 0382.39003
Krichever, I. M.
43
1978
Die Integration nichtlinearer Gleichungen vermittels Methoden der algebraischen Geometrie. Zbl 0346.35028
Krichever, I. M.
43
1977
On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044
Krichever, I. M.; Phong, D. H.
41
1997
The \(\tau\)-function for analytic curves. Zbl 0991.37050
Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A.
40
2001
Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025
Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A.
38
2004
Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019
Krichever, I.; Marshakov, A.; Zabrodin, A.
36
2005
Commutative rings of ordinary linear differential operators. Zbl 0408.34008
Krichever, I. M.
34
1978
Vector bundles and Lax equations on algebraic curves. Zbl 1073.14048
Krichever, I.
34
2002
Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0462.35080
Krichever, I. M.
33
1980
Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071
Krichever, I. M.; Novikov, S. P.
33
1980
Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010
Krichever, I.
31
2002
Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012
Krichever, I. M.; Novikov, S. P.
31
1989
The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381
D’Hoker, Eric; Krichever, I. M.; Phong, D. H.
28
1997
Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124
Krichever, I.; Wiegmann, P.; Zabrodin, A.
26
1998
The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587
D’Hoker, Eric; Krichever, I. M.; Phong, D. H.
26
1997
Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0702.57006
Krichever, I. M.
26
1990
Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model. Zbl 0637.35060
Krichever, I. M.
25
1986
Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations. Zbl 1004.37052
Krichever, I. M.
24
1997
Multi-phase solutions of the Benjamin-Ono equation and their averaging. Zbl 0752.35058
Dobrokhotov, S. Yu.; Krichever, I. M.
24
1991
Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068
Krichever, I. M.; Novikov, S. P.
24
2003
Symplectic forms in the theory of solitons. Zbl 0931.35148
Krichever, I. M.; Phong, D. H.
21
1998
Algebraic curves and non-linear difference equations. Zbl 0412.39002
Krichever, I. M.
21
1978
On rational solutions of the Kadomtsev-Petviashvili equation and on integrable systems of \(n\) particles on a line. Zbl 0374.70008
Krichever, I. M.
20
1978
Nonlinear equations and elliptic curves. Zbl 0595.35087
Krichever, I. M.
19
1983
Integrability: The Seiberg-Witten and Whitham equations. Zbl 0948.00012
18
2000
Potentials with zero coefficient of reflection on a background of finite- zone potentials. Zbl 0333.34022
Krichever, I. M.
17
1975
Dynamical systems. IV: Integrable systems. Zbl 0591.58013
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
17
1985
The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces. Zbl 1213.14055
Grushevsky, Samuel; Krichever, Igor
17
2010
Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122
Krichever, I.; Novikov, S. P.
16
1999
Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2. Zbl 0434.35078
Krichever, I. M.; Novikov, S. P.
16
1979
Self-similar solutions of equations of Korteweg-deVries type. Zbl 0454.35078
Krichever, I. M.
16
1981
Lax operator algebras. Zbl 1160.17017
Krichever, I. M.; Sheinman, O. K.
16
2007
Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306
Bukhshtaber, V. M.; Krichever, I. M.
15
2006
General rational reductions of the KP hierarchy and their symmetries. Zbl 0868.35103
Krichever, I. M.
15
1995
Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071
Krichever, I.; Zabrodin, A.
15
2021
Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132
Avilov, V. V.; Krichever, I. M.; Novikov, S. P.
14
1987
Characterizing Jacobians via trisecants of the Kummer variety. Zbl 1215.14031
Krichever, Igor
14
2010
The periodic and open Toda lattice. Zbl 1119.37333
Krichever, I.; Vaninsky, K. L.
14
2002
Baxter’s equations and algebraic geometry. Zbl 0485.35078
Krichever, I. M.
13
1981
Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0692.57014
Krichever, I. M.
13
1990
Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122
Krichever, I. M.
13
1992
Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123
Krichever, I. M.
13
1994
Commuting difference operators and the combinatorial Gale transform. Zbl 1331.47052
Krichever, I. M.
13
2015
Linear operators with self-consistent coefficients and rational reductions of KP hierarchy. Zbl 1194.37103
Krichever, I.
12
1995
Two-dimensional periodic difference operators and algebraic geometry. Zbl 0603.39004
Krichever, I. M.
11
1985
A characterization of Prym varieties. Zbl 1106.14017
Krichever, I.
11
2006
Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system. Zbl 1033.37032
Akhmet’shin, A. A.; Krichever, I. M.; Vol’vovskii, Yu. S.
11
2002
Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Zbl 1217.14022
Grushevsky, Samuel; Krichever, Igor
11
2010
Holomorphic vector bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0393.35061
Krichever, I. M.; Novikov, S. P.
10
1978
Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006
Bukhshtaber, V. M.; Krichever, I. M.
10
1993
An analogue of d’Alembert’s formula for the equations of the principal chiral field and for the Sine-Gordon equation. Zbl 0496.35073
Krichever, I. M.
10
1980
Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem. Zbl 1075.39012
Krichever, I. M.
9
2004
Algebraic curves and commuting matricial differential operators. Zbl 0347.35077
Krichever, I. M.
9
1976
Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109
Krichever, I. M.
9
1994
Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028
Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M.
9
1999
Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0515.35005
Krichever, I. M.
9
1983
Soliton equations and the Riemann-Schottky problem. Zbl 1322.14008
Krichever, I.; Shiota, T.
9
2013
Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0404.35082
Krichever, I. M.; Novikov, S. P.
8
1979
Algebraic-geometrical methods in the theory of integrable equations and their perturbations. Zbl 0840.35095
Krichever, I.
8
1995
“Hessians” of integrals of the Korteweg-de Vries equation and perturbations of finite-zone solutions. Zbl 0543.35087
Krichever, I. M.
8
1983
Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003
Grushevsky, Samuel; Krichever, Igor
8
2015
Formal groups and the Atiyah-Hirzebruch formula. Zbl 0315.57021
Krichever, I. M.
7
1976
On the rational solutions of Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0413.35008
Krichever, I. M.
7
1979
Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075
Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E.
7
1986
Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044
Krichever, I.; Zabrodin, A.
6
1999
Elliptic analog of the Toda lattice. Zbl 1001.37069
Krichever, I.
6
2000
Baxter equations and algebraic geometry. Zbl 0475.35072
Krichever, I. M.
6
1981
Integrable linear equations and the Riemann-Schottky problem. Zbl 1132.14032
Krichever, Igor M.
6
2006
Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model. Zbl 1491.35399
Krichever, I.; Zabrodin, A.
6
2022
The periodic problems for two-dimensional integrable systems. Zbl 0744.35047
Krichever, Igor
5
1991
A generating formula for solutions of the associativity equations. Zbl 0934.53032
Akhmetshin, A. A.; Volvovskij, Yu. S.; Krichever, I. M.
5
1999
Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020
Arbarello, Enrico; Krichever, Igor; Marini, Giambattista
5
2006
Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
5
1982
Trivalent graphs and solitons. Zbl 0981.37023
Krichever, I. M.; Novikov, S. P.
4
1999
Automodel solutions of equations of Korteweg-de Vries type. Zbl 0439.35062
Krichever, I. M.
4
1980
Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
4
1997
Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502
Buchstaber, V.; Krichever, I.
4
1996
Toda lattice with constraint of type B. Zbl 07722814
Krichever, I.; Zabrodin, A.
4
2023
Monodromy free linear equations and many-body systems. Zbl 1522.35013
Krichever, I.; Zabrodin, A.
2
2023
Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model. Zbl 1491.35399
Krichever, I.; Zabrodin, A.
6
2022
Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071
Krichever, I.; Zabrodin, A.
15
2021
Incarnations of XXX \(\widehat{\mathfrak{sl}_N}\) Bethe ansatz equations and integrable hierarchies. Zbl 1503.17028
Krichever, Igor; Varchenko, Alexander
1
2021
Real-normalized differentials: limits on stable curves. Zbl 1437.14033
Grushevsky, S.; Krichever, I. M.; Norton, C.
4
2019
Triangular reductions of the \(2D\) Toda hierarchy. Zbl 1370.37127
Ilina, A. V.; Krichever, I. M.
2
2017
Commuting difference operators and the combinatorial Gale transform. Zbl 1331.47052
Krichever, I. M.
13
2015
Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003
Grushevsky, Samuel; Krichever, Igor
8
2015
Amoebas, Ronkin function, and Monge-Ampère measures of algebraic curves with marked points. Zbl 1364.32008
Krichever, I.
3
2014
Soliton equations and the Riemann-Schottky problem. Zbl 1322.14008
Krichever, I.; Shiota, T.
9
2013
Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 1307.35260
Krichever, I. M.
2
2013
Real normalized differentials and Arbarello’s conjecture. Zbl 1278.30041
Krichever, I. M.
4
2012
The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces. Zbl 1213.14055
Grushevsky, Samuel; Krichever, Igor
17
2010
Characterizing Jacobians via trisecants of the Kummer variety. Zbl 1215.14031
Krichever, Igor
14
2010
Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Zbl 1217.14022
Grushevsky, Samuel; Krichever, Igor
11
2010
Abelian solutions of the soliton equations and geometry of abelian varieties. Zbl 1205.37079
Krichever, I.; Shiota, T.
1
2010
Abelian solutions of the KP equations. Zbl 1158.37027
Krichever, I.; Shiota, T.
1
2008
Abelian solutions of the soliton equations and Riemann-Schottky problems. Zbl 1164.37021
Krichever, I. M.
1
2008
Lax operator algebras. Zbl 1160.17017
Krichever, I. M.; Sheinman, O. K.
16
2007
Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306
Bukhshtaber, V. M.; Krichever, I. M.
15
2006
A characterization of Prym varieties. Zbl 1106.14017
Krichever, I.
11
2006
Integrable linear equations and the Riemann-Schottky problem. Zbl 1132.14032
Krichever, Igor M.
6
2006
Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020
Arbarello, Enrico; Krichever, Igor; Marini, Giambattista
5
2006
Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019
Krichever, I.; Marshakov, A.; Zabrodin, A.
36
2005
Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025
Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A.
38
2004
Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem. Zbl 1075.39012
Krichever, I. M.
9
2004
Integrable chains on algebraic curves. Zbl 1070.37052
Krichever, I.
1
2004
Topological and algebraic geometry methods in contemporary mathematical physics. Zbl 1107.37003
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
1
2004
Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068
Krichever, I. M.; Novikov, S. P.
24
2003
Vector bundles and Lax equations on algebraic curves. Zbl 1073.14048
Krichever, I.
34
2002
Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010
Krichever, I.
31
2002
The periodic and open Toda lattice. Zbl 1119.37333
Krichever, I.; Vaninsky, K. L.
14
2002
Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system. Zbl 1033.37032
Akhmet’shin, A. A.; Krichever, I. M.; Vol’vovskii, Yu. S.
11
2002
The \(\tau\)-function for analytic curves. Zbl 0991.37050
Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A.
40
2001
Integrability: The Seiberg-Witten and Whitham equations. Zbl 0948.00012
18
2000
Elliptic analog of the Toda lattice. Zbl 1001.37069
Krichever, I.
6
2000
Spin chain models with spectral curves from M theory. Zbl 0992.37062
Krichever, I.; Phong, D. H.
4
2000
Holomorphic bundles and commuting difference operators. Two-point constructions. Zbl 0978.35066
Krichever, I. M.; Novikov, S. P.
2
2000
Baker-Akhiezer functions and integrable systems. Zbl 0983.37090
Krichever, I. M.
2
2000
Holomorphic bundles and scalar difference operators: single-point constructions. Zbl 1101.14315
Krichever, I. M.; Novikov, S. P.
1
2000
Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122
Krichever, I.; Novikov, S. P.
16
1999
Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028
Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M.
9
1999
Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044
Krichever, I.; Zabrodin, A.
6
1999
A generating formula for solutions of the associativity equations. Zbl 0934.53032
Akhmetshin, A. A.; Volvovskij, Yu. S.; Krichever, I. M.
5
1999
Trivalent graphs and solitons. Zbl 0981.37023
Krichever, I. M.; Novikov, S. P.
4
1999
Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124
Krichever, I.; Wiegmann, P.; Zabrodin, A.
26
1998
Symplectic forms in the theory of solitons. Zbl 0931.35148
Krichever, I. M.; Phong, D. H.
21
1998
Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
96
1997
The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380
D’Hoker, Eric; Krichever, I. M.; Phong, D. H.
47
1997
On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044
Krichever, I. M.; Phong, D. H.
41
1997
The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381
D’Hoker, Eric; Krichever, I. M.; Phong, D. H.
28
1997
The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587
D’Hoker, Eric; Krichever, I. M.; Phong, D. H.
26
1997
Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations. Zbl 1004.37052
Krichever, I. M.
24
1997
Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
4
1997
Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502
Buchstaber, V.; Krichever, I.
4
1996
Integrability and Seiberg-Witten exact solution. Zbl 0997.81567
Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A.
219
1995
Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030
Krichever, I.; Zabrodin, A.
64
1995
Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065
Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David
54
1995
Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069
Krichever, I.; Babelon, O.; Billey, E.; Talon, M.
44
1995
General rational reductions of the KP hierarchy and their symmetries. Zbl 0868.35103
Krichever, I. M.
15
1995
Linear operators with self-consistent coefficients and rational reductions of KP hierarchy. Zbl 1194.37103
Krichever, I.
12
1995
Algebraic-geometrical methods in the theory of integrable equations and their perturbations. Zbl 0840.35095
Krichever, I.
8
1995
The \(\tau\)-function of the universal Whitham hierarchy, matrix models and topological field theories. Zbl 0811.58064
Krichever, I. M.
151
1994
Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123
Krichever, I. M.
13
1994
Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109
Krichever, I. M.
9
1994
Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006
Bukhshtaber, V. M.; Krichever, I. M.
10
1993
The Cauchy problem for doubly periodic solutions of KP-II equation. Zbl 0854.35101
Krichever, I.
1
1993
The dispersionless Lax equations and topological minimal models. Zbl 0753.35095
Krichever, I.
87
1992
Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122
Krichever, I. M.
13
1992
Whitham theory for integrable systems and topological quantum field theories. Zbl 1221.37178
Krichever, Igor Moiseevich
2
1992
Multi-phase solutions of the Benjamin-Ono equation and their averaging. Zbl 0752.35058
Dobrokhotov, S. Yu.; Krichever, I. M.
24
1991
The periodic problems for two-dimensional integrable systems. Zbl 0744.35047
Krichever, Igor
5
1991
The averaging procedure for the soliton-like solutions of integrable systems. Zbl 0734.58026
Krichever, Igor M.
1
1991
Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0702.57006
Krichever, I. M.
26
1990
Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0692.57014
Krichever, I. M.
13
1990
Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0749.17031
Krichever, I. M.; Novikov, S. P.
3
1990
Spectral theory of two-dimensional periodic operators and its applications. Zbl 0699.35188
Krichever, I. M.
51
1989
Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012
Krichever, I. M.; Novikov, S. P.
31
1989
Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088
Krichever, I. M.
95
1988
Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator’s theory of closed strings. Zbl 0707.17015
Krichever, I. M.; Novikov, S. P.
3
1988
A periodic problem for the Kadomtsev-Petviashvili equation. Zbl 0699.35213
Krichever, I. M.
2
1988
Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010
Krichever, I. M.; Novikov, S. P.
91
1987
Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012
Krichever, I. M.; Novikov, S. P.
57
1987
Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132
Avilov, V. V.; Krichever, I. M.; Novikov, S. P.
14
1987
Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model. Zbl 0637.35060
Krichever, I. M.
25
1986
Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075
Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E.
7
1986
Integrable systems. I. Zbl 0780.58019
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
46
1985
Dynamical systems. IV: Integrable systems. Zbl 0591.58013
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
17
1985
Two-dimensional periodic difference operators and algebraic geometry. Zbl 0603.39004
Krichever, I. M.
11
1985
Two-dimensional periodic Schrödinger operators and Prym’s \(\theta\)- functions. Zbl 0575.35084
Veselov, A. P.; Krichever, I. M.; Novikov, S. P.
1
1985
The Laplace method, algebraic curves, and nonlinear equations. Zbl 0583.35086
Krichever, I. M.
1
1984
Nonlinear equations and elliptic curves. Zbl 0595.35087
Krichever, I. M.
19
1983
Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0515.35005
Krichever, I. M.
9
1983
“Hessians” of integrals of the Korteweg-de Vries equation and perturbations of finite-zone solutions. Zbl 0543.35087
Krichever, I. M.
8
1983
Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002
Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P.
5
1982
Algebro-geometric spectral theory of the Schrödinger difference operator and the Peierls model. Zbl 0527.39001
Krichever, I. M.
1
1982
Theta functions and non-linear equations. Zbl 0549.58038
Dubrovin, B. A.
215
1981
Theta-functions and non-linear equations. Zbl 0478.58038
Dubrovin, B. A.
114
1981
Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0473.35071
Krichever, I. M.
94
1981
...and 37 more Documents
all top 5

Cited by 1,557 Authors

50 Zabrodin, Anton V.
49 Krichever, Igor’ Moiseevich
47 Mironov, Andrei D.
41 Morozov, Alexei Yurievich
38 Geng, Xianguo
32 Marshakov, Andrei V.
30 Zotov, Andrei V.
25 Grinevich, Pëtr Georgievich
22 Gorskiĭ, Aleksandr Sergeevich
21 Sheĭnman, Oleg Karlovich
21 Veselov, Alexander Petrovich
19 Mironov, Andreĭ Evgen’evich
18 Bukhshtaber, Viktor Matveevich
18 Konopelchenko, Boris Georgievich
17 Martínez Alonso, Luis
17 Takasaki, Kanehisa
15 Chalykh, Oleg A.
15 Kazakov, Vladimir A.
15 Nekrasov, Nikita Alexandrovich
15 Novikov, Sergeĭ Petrovich
15 Previato, Emma
14 Enolskiĭ, Viktor Zelikovich
14 Gesztesy, Fritz
14 Gromov, Nikolay A.
14 Taĭmanov, Iskander Asanovich
13 Morozov, Al’bert Dmitrievich
13 Santini, Paolo Maria
13 Smirnov, Alexander O.
12 Braden, Harry W.
12 Zeng, Xin
11 Abenda, Simonetta
11 Bonelli, Giulio
11 Cox, Ben Lewis
11 D’Hoker, Eric
11 Dubrovin, Boris Anatol’evich
11 Ferapontov, Evgeny Vladimirovich
11 Hurtubise, Jacques C.
11 Schlichenmaier, Martin
11 Tanzini, Alessandro
10 Doliwa, Adam
10 El, Gennady A.
10 Khabibullin, Ismagil Talgatovich
10 Harnad, John
10 Koroteev, Peter
10 Mariño, Marcos
10 Nijhoff, Frank W.
10 Ruijsenaars, Simon N. M.
10 Tsuboi, Zengo
10 Wei, Jiao
10 Zenkevich, Yegor
10 Zheglov, Alexander B.
9 Bertola, Marco
9 Bunkova, Elena Yur’evna
9 Fan, Engui
9 He, Guoliang
9 Khakimova, Aĭgul’ Rinatovna
9 Leurent, Sebastien
9 Medina, Elena
9 Naculich, Stephen G.
9 Novikov, Roman G.
9 Odesskii, Alexander
9 Olshanetsky, Mikhail A.
9 Phong, Duong Hong
9 Schnitzer, Howard J.
9 Shakirov, Sh. R.
9 Tu, Minghsien
9 Volin, Dmytro
9 Zhai, Yunyun
8 Babelon, Olivier
8 Carroll, Robert Wayne
8 Miller, Peter D.
8 Natanzon, Sergei M.
8 Pavlov, Maxim V.
8 Pogrebkov, Andrei K.
8 Sokolov, Vladimir Vyacheslavovich
8 Takebe, Takashi
7 Berntson, Bjorn K.
7 Bobenko, Alexander Ivanovich
7 Brini, Andrea
7 Chang, Jen-Hsu
7 Futorny, Vyacheslav M.
7 Gavrylenko, Pavlo
7 Grünbaum, Francisco Alberto
7 Hone, Andrew N. W.
7 Illarionov, Andrei A.
7 Kappeler, Thomas
7 Kasman, Alex
7 Levin, Andrey M.
7 Matveev, Vladimir B.
7 Mokhov, Oleg I.
7 Ohta, Yűji
7 Prokof’ev, V. V.
7 Shabat, Alekseĭ Borisovich
7 Treibich, Armando
7 van de Leur, Johan W.
7 Wiegmann, Paul B.
7 Wu, Lihua
7 Xue, Bo
6 Alexandrov, Alexander Sergeevich
6 Babajanov, Bazar Atajanovich
...and 1,457 more Authors
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Cited in 217 Serials

122 Nuclear Physics. B
122 Journal of High Energy Physics
118 Journal of Mathematical Physics
118 Theoretical and Mathematical Physics
113 Communications in Mathematical Physics
86 Physica D
74 Journal of Geometry and Physics
74 Functional Analysis and its Applications
63 Letters in Mathematical Physics
49 Journal of Physics A: Mathematical and Theoretical
36 Journal of Nonlinear Mathematical Physics
35 Mathematical Notes
34 Physics Letters. A
28 Physics Letters. B
27 Proceedings of the Steklov Institute of Mathematics
24 Acta Applicandae Mathematicae
23 Duke Mathematical Journal
23 Journal of Soviet Mathematics
21 International Journal of Modern Physics A
21 Journal of Mathematical Sciences (New York)
21 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
17 Nonlinearity
15 Russian Mathematical Surveys
15 Advances in Mathematics
14 Reviews in Mathematical Physics
14 Chaos, Solitons and Fractals
13 Mathematische Annalen
13 Siberian Mathematical Journal
13 Journal of Statistical Mechanics: Theory and Experiment
12 Studies in Applied Mathematics
12 Analysis and Mathematical Physics
11 Mathematical Physics, Analysis and Geometry
10 Journal of Nonlinear Science
10 Annales Henri Poincaré
9 Communications on Pure and Applied Mathematics
9 Doklady Mathematics
8 Reports on Mathematical Physics
8 Annales de l’Institut Fourier
8 Transactions of the American Mathematical Society
8 International Journal of Mathematics
7 Applicable Analysis
7 Inventiones Mathematicae
6 Journal of Mathematical Analysis and Applications
6 Journal of Statistical Physics
6 Journal of Approximation Theory
6 Journal of Functional Analysis
6 Mathematische Zeitschrift
6 Regular and Chaotic Dynamics
6 Communications in Nonlinear Science and Numerical Simulation
6 Complex Analysis and Operator Theory
5 Ukrainian Mathematical Journal
5 Compositio Mathematica
5 Journal of Algebra
5 Journal of Differential Equations
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 Constructive Approximation
5 Applied Mathematics Letters
5 Nuclear Physics. B. Proceedings Supplements
5 Sbornik: Mathematics
5 Ufimskiĭ Matematicheskiĭ Zhurnal
4 Modern Physics Letters A
4 Journal of Computational Physics
4 Applied Mathematics and Computation
4 Annals of Global Analysis and Geometry
4 The Journal of Geometric Analysis
4 Bulletin of the American Mathematical Society. New Series
4 Selecta Mathematica. New Series
4 Bulletin des Sciences Mathématiques
4 Nonlinear Dynamics
4 Journal of the Institute of Mathematics of Jussieu
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Journal of Fluid Mechanics
3 Mathematical Methods in the Applied Sciences
3 Acta Mathematica
3 Geometriae Dedicata
3 Publications Mathématiques
3 Journal of Pure and Applied Algebra
3 Mathematics and Computers in Simulation
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 Differential Geometry and its Applications
3 Annals of Physics
3 Linear Algebra and its Applications
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Indagationes Mathematicae. New Series
3 St. Petersburg Mathematical Journal
3 Chaos
3 Algebraic & Geometric Topology
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Communications in Theoretical Physics
2 Communications in Algebra
2 Computers & Mathematics with Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Reports
2 Wave Motion
...and 117 more Serials
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Cited in 55 Fields

805 Dynamical systems and ergodic theory (37-XX)
614 Partial differential equations (35-XX)
597 Quantum theory (81-XX)
427 Algebraic geometry (14-XX)
159 Nonassociative rings and algebras (17-XX)
147 Differential geometry (53-XX)
135 Ordinary differential equations (34-XX)
134 Statistical mechanics, structure of matter (82-XX)
106 Difference and functional equations (39-XX)
101 Functions of a complex variable (30-XX)
99 Global analysis, analysis on manifolds (58-XX)
96 Mechanics of particles and systems (70-XX)
91 Operator theory (47-XX)
73 Special functions (33-XX)
71 Fluid mechanics (76-XX)
64 Associative rings and algebras (16-XX)
58 Several complex variables and analytic spaces (32-XX)
53 Relativity and gravitational theory (83-XX)
37 Commutative algebra (13-XX)
35 Manifolds and cell complexes (57-XX)
31 Topological groups, Lie groups (22-XX)
30 Numerical analysis (65-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
22 Algebraic topology (55-XX)
20 Number theory (11-XX)
16 Probability theory and stochastic processes (60-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
14 Combinatorics (05-XX)
14 Optics, electromagnetic theory (78-XX)
13 Group theory and generalizations (20-XX)
12 Field theory and polynomials (12-XX)
12 Geometry (51-XX)
9 Potential theory (31-XX)
9 Approximations and expansions (41-XX)
9 Functional analysis (46-XX)
9 Convex and discrete geometry (52-XX)
7 History and biography (01-XX)
7 Integral transforms, operational calculus (44-XX)
6 Mechanics of deformable solids (74-XX)
5 \(K\)-theory (19-XX)
5 Integral equations (45-XX)
4 General and overarching topics; collections (00-XX)
4 Computer science (68-XX)
3 Category theory; homological algebra (18-XX)
3 Real functions (26-XX)
3 Statistics (62-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 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 General topology (54-XX)
1 Geophysics (86-XX)

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