Igor Krichever
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Russian mathematician
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Igor Krichevermathematics Degrees
Mathematics
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Group Theory
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#92
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Algebra
#228
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#333
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Measure Theory
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Mathematics
Igor Krichever's Degrees
- Doctorate Mathematics Moscow State University
Why Is Igor Krichever Influential?
(Suggest an Edit or Addition)According to Wikipedia, Igor Moiseevich Krichever was a Russian academic and mathematician. Biography Krichever was born in Kuybyshev to aviation engineer Moisey Solomonovich Krichever and Maria Leyzerovna Arlievskaya. He received a silver medal at the 1967 International Mathematical Olympiad. He graduated from the MSU Faculty of Mechanics and Mathematics in 1972.
Igor Krichever's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The τ‐function of the universal whitham hierarchy, matrix models and topological field theories (1994) (450)
- Integration of nonlinear equations by the methods of algebraic geometry (1977) (443)
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS (1977) (421)
- Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles (1980) (354)
- Integrability and Seiberg-Witten exact solution (1995) (314)
- HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS (1980) (284)
- The dispersionless Lax equations and topological minimal models (1992) (277)
- Quantum Integrable Models and Discrete Classical Hirota Equations (1997) (234)
- Method of averaging for two-dimensional "integrable" equations (1988) (229)
- Algebras of virasoro type, riemann surfaces and structures of the theory of solitons (1987) (220)
- Spectral theory of two-dimensional periodic operators and its applications (1989) (163)
- Commutative rings of ordinary linear differential operators (1978) (154)
- Rational solutions of the Kadomtsev — Petviashvili equation and integrable systems of N particles on a line (1978) (154)
- Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations (1996) (152)
- Vector Bundles and Lax Equations on Algebraic Curves (2001) (150)
- ALGEBRAIC CURVES AND NON-LINEAR DIFFERENCE EQUATIONS (1978) (148)
- Spin generalization of the Calogero-Moser system and the Matrix KP equation (1994) (147)
- Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra (1995) (142)
- On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories (1996) (136)
- Generalized elliptic genera and baker-Akhiezer functions (1990) (125)
- The effective prepotential of N = 2 supersymmetric SU(Nc) gauge theories☆ (1996) (123)
- Integrable Systems. I (2001) (115)
- Symplectic forms in the theory of solitons (1997) (108)
- Virasoro-type algebras, Riemann surfaces and strings in Minkowsky space (1987) (99)
- Integrability : the Seiberg-Witten and Whitham equations (2000) (93)
- Laplacian growth and Whitham equations of soliton theory (2003) (92)
- Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations (2001) (86)
- τ-function for analytic curves (2000) (83)
- Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains (2005) (83)
- Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces (1989) (77)
- The τ-Function of the Universal Whitham Hierarchy, Matrix Models and Topological Field Theories (1996) (74)
- Methods of Algebraic Geometry in the Theory of Non-linear Equations" Russian Math (1981) (74)
- The renormalization group equation in N = 2 supersymmetric gauge theories (1996) (70)
- The effective prepotential of N = 2 supersymmetric SO(Nc) and Sp(Nc) gauge theories☆ (1996) (69)
- The $\tau$-function of the universal Whitham hierarchy, matrix models and topological field theories (1992) (68)
- Nonlinear equations and elliptic curves (1985) (65)
- Perturbation theory in periodic problems for two-dimensional integrable systems (1992) (65)
- Finite genus solutions to the Ablowitz‐Ladik equations (2010) (61)
- Baxter's equations and algebraic geometry (1981) (60)
- Multi-phase solutions of the Benjamin-Ono equation and their averaging (1991) (57)
- Algebraic-geometricn-orthogonal curvilinear coordinate systems and solutions of the associativity equations (1996) (57)
- Elliptic Solutions to Difference Non-Linear Equations and Related Many-Body Problems (1998) (55)
- Holomorphic bundles over Riemann surfaces and the Kadomtsev—Petviashvili equation. I (1978) (52)
- Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model (1986) (50)
- Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations (1998) (49)
- Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants (2007) (49)
- Characterizing Jacobians via trisecants of the Kummer variety (2006) (46)
- Integrable linear equations and the Riemann-Schottky problem (2006) (43)
- The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces (2008) (42)
- Elliptic analog of the Toda lattice (1999) (41)
- The periodic and open Toda lattice (2000) (37)
- Vector addition theorems and Baker-Akhiezer functions (1993) (36)
- Tau-function for Analytic Curves (2000) (35)
- Holomorphic bundles and nonlinear equations (1981) (34)
- Lax operator algebras (2007) (34)
- Algebraic curves and commuting matricial differential operators (1976) (33)
- Potentials with zero coefficient of reflection on a background of finite-zone potentials (1975) (32)
- General rational reductions of the KP hierarchy and their symmetries (1995) (31)
- A characterization of Prym varieties (2005) (31)
- Two-dimensional algebraic-geometric operators with self-consistent potentials (1994) (30)
- Solitons in high-energy QCD (1997) (30)
- Self-similar solutions of equations of Korteweg -de Vries type (1980) (28)
- Rational solutions of the Zakharov-Shabat equations and completely integrable systems of N particles on a line (1983) (28)
- Geometry, Topology, and Mathematical Physics (2004) (26)
- Characterizing Jacobians via flexes of the Kummer variety (2005) (26)
- The peierls model (1982) (25)
- Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem (2004) (25)
- Discrete analogs of the Darboux-Egoroff metrics (1999) (24)
- Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator's theory of closed strings (1988) (23)
- Multidimensional Vector Addition Theorems and the Riemann Theta Functions (1996) (22)
- Integrable equations, addition theorems, and the Riemann-Schottky problem (2006) (21)
- Elliptic Families of Solutions of the Kadomtsev--Petviashvili Equation and the Field Elliptic Calogero--Moser System (2002) (20)
- Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons (2002) (20)
- Commuting difference operators and the combinatorial Gale transform (2014) (20)
- Exact solutions of the time-dependent Schroedinger equation with self-consistent potential (1988) (18)
- Holomorphic bundles and commuting difference operators. Two-point constructions (2000) (18)
- Linear operators with self-consistent coefficients and rational reductions of KP hierarchy (1995) (17)
- Rational multisoliton solutions of the nonlinear Schrdinger equation (1986) (16)
- Kadomtsev–Petviashvili Turning Points and CKP Hierarchy (2020) (15)
- Trivalent graphs and solitons (1999) (14)
- Foliations on the moduli space of curves, vanishing in cohomology, and Calogero-Moser curves (2011) (14)
- Elliptic solutions of nonlinear integrable equations and related topics (1994) (14)
- Spin Chain Models with Spectral Curves from M Theory (2000) (14)
- TOPICAL REVIEW: Periodic and almost-periodic potentials in inverse problems (1999) (14)
- Geometry, Topology, and Mathematical Physics: S. P. Novikov’s Seminar: 2006–2007 (2008) (11)
- Real normalized differentials and Arbarello’s conjecture (2011) (11)
- Algebraic-geometrical methods in the theory of integrable equations and their perturbations (1995) (11)
- Towards Lefschetz Thimbles in Sigma Models, I (2020) (11)
- Vacuum curves of elliptic L-operators and representations of Sklyanin algebra (1998) (11)
- Wess-Zumino lagrangians in chiral models and quantization of their constants (1986) (11)
- Exactly soluble peierls models (1982) (11)
- Интегрируемые уравнения, теоремы сложения и проблема Римана - Шоттки@@@Integrable equations, addition theorems, and the Riemann - Schottky problem (2006) (11)
- Abelian solutions of the KP equation (2008) (10)
- Real-Normalized Differentials and the Elliptic Calogero-Moser System (2011) (10)
- Алгебры операторов Лакса@@@Lax Operator Algebras (2007) (10)
- Whitham Theory for Integrable Systems and Topological Quantum Field Theories (1992) (10)
- The Generating Formula for The Solutions to The Associativity Equations (1999) (10)
- Riemann surfaces, operator fields, strings. Analogues of the Fourier-Laurent bases (1990) (9)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Holomorphic bundles and commuting difference operators. Two-point constructions (2000) (9)
- TWO-DIMENSIONAL PERIODIC SCHRÖDINGER OPERATORS AND PRYM’S θ-FUNCTIONS (2008) (8)
- The laplace method, algebraic curves, and nonlinear equations (1984) (8)
- Holomorphic bundles and scalar difference operators: one-point constructions (2000) (8)
- Двумеризованная цепочка Тоды, коммутирующие разностные операторы и голоморфные расслоения@@@Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic bundles (2003) (8)
- Algebraic—Geometrical Methods in the Theory of Integrable Equations and Their Perturbations (1995) (7)
- Amoebas, Ronkin function and Monge-Amp\`ere measures of algebraic curves with marked points (2013) (7)
- Abelian solutions of the soliton equations and geometry of abelian varieties. (2008) (7)
- Topological and Algebraic Geometry Methods in Contemporary Mathematical Physics (2004) (6)
- Эллиптические семейства решений уравнения Кадомцева - Петвиашвили и полевой аналог эллиптической системы Калоджеро - Мозера@@@Elliptic Families of Solutions of the Kadomtsev - Petviashvili Equation and the Field Elliptic Calogero - Moser System (2002) (6)
- METHODS OF ALGEBRAIC GEOMETRY IN CONTEMPORARY MATHEMATICAL PHYSICS (1984) (6)
- SPIN CHAINS WITH TWISTED MONODROMY (2001) (6)
- Constrained Toda hierarchy and turning points of the Ruijsenaars–Schneider model (2021) (6)
- Real-normalized differentials: limits on stable curves (2017) (6)
- Periodic and almost periodic potentials in the inverse problems (2000) (6)
- Spin generalization of the Ruijsenaars-Schneider model, nonAbelian 2-dimensional Toda chain and representations of Sklyanin algebra (1995) (5)
- Integrable Systems: Algebraic curves and non-linear difference equations (Volume 33, 1978) (1981) (5)
- Integrability, Quantization, and Geometry: I. Integrable Systems (2021) (4)
- Integrable chains on algebraic curves (2003) (4)
- Эллиптические семейства решений уравнения Кадомцева--Петвиашвили и полевой аналог эллиптической системы Калоджеро--Мозера (2002) (4)
- Порождающая формула для решений уравнений ассоциативности@@@A generating formula for solutions of the associativity equations (1999) (3)
- Algebraic versus Liouville integrability of the soliton systems (2006) (3)
- Real-normalized differentials with a single order 2 pole (2020) (3)
- Topology, Geometry, Integrable Systems, and Mathematical Physics (2014) (3)
- Two-Dimensional Periodic Schrödinger Operators Integrable at an Energy Eigenlevel (2019) (3)
- THE AVERAGING PROCEDURE FOR THE SOLITON-LIKE SOLUTIONS OF INTEGRABLE SYSTEMS (1991) (3)
- The Cauchy Problem for Doubly Periodic Solutions of KP-II Equation (1993) (2)
- Real normalized differentials and compact cycles in the moduli space of curves (2012) (2)
- A note on critical points of integrals of soliton equations (2010) (2)
- Аналитическая теория разностных уравнений с рациональными и эллиптическими коэффициентами и задача Римана - Гильберта@@@Analytic theory of difference equations with rational and elliptic coefficients and the Riemann - Hilbert problem (2004) (2)
- Вещественно-нормированные дифференциалы: пределы на стабильных кривых (2019) (2)
- Rational solutions of the duality equations for yang - mills fields (1979) (2)
- Integrability and Seiberg-Witten (1995) (2)
- Triangular reductions of the 2D toda hierarchy (2016) (2)
- Towards Lefschetz Thimbles in Sigma Models, I (2021) (1)
- v 1 7 M ay 1 99 5 Spin generalization of the Ruijsenaars-Schneider model , non-abelian 2 D Toda chain and representations of Sklyanin algebra (1995) (1)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The immersion of two-dimensional metrics in E3 (1983) (1)
- Abelian solutions of the soliton equations and Riemann-Schottky problems (2008) (1)
- New method of finding dynamic solutions in the Peierls model (2009) (1)
- Functional equations associated with addition theorems for elliptic functions and two-valued (2016) (1)
- Soliton equations and the Riemann-Schottky problem (2011) (1)
- Toda lattice with constraint of type B (2022) (1)
- Vladimir Antonovich Zorich (2018) (0)
- Real normalized differentials and Arbarello’s conjecture (2012) (0)
- The discrete modified Novikov-Veselov hierarchy and discrete dierential geometry (2009) (0)
- HO LOMORPH IC BUNDLE S OVER ALG EBRAIC CURVES AND NO N LIN EAR EQU ATIONS (1980) (0)
- Viktor Matveevich Buchstaber (on his 70th birthday) (2013) (0)
- ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS (2017) (0)
- Владимир Антонович Зорич (к восьмидесятилетию со дня рождения) (2018) (0)
- Треугольные редукции двумеризованной цепочки Тода (2017) (0)
- Абелевы решения солитонных уравнений и проблемы типа Римана - Шоттки@@@Abelian solutions of the soliton equations and Riemann - Schottky problems (2008) (0)
- Двумерные периодические операторы Шредингера, интегрируемые на «собственном» уровне энергии (2019) (0)
- Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model (2021) (0)
- Abelian pole systems and Riemann-Schottky type systems (2022) (0)
- Ju l 2 00 4 Analytic theory of difference equations with rational and elliptic coefficients and Riemann-Hilbert problem (0)
- Triangular reductions of the 2D toda hierarchy (2017) (0)
- Surveys in Modern Mathematics: Conformal mappings and the Whitham equations (2005) (0)
- Ludwig Dmitrievich Faddeev (2017) (0)
- Symple&poiss Geom Loop Smooth (2005) (0)
- INTEGRABILITY IN ALGEBRA, GEOMETRY AND PHYSICS: NEW TRENDS (2015) (0)
- Александр Михайлович Виноградов (некролог) (2020) (0)
- Incarnations of XXX $\widehat{\frak{sl}_N}$ Bethe ansatz equations and integrable hierarchies (2019) (0)
- where u(x) is a periodic function. Equation (i) describes the behavior of an electron in the physically important case of a periodic lattice, to which one has applied a constant ex- terior electric field E. The nonstationary SchrDdinger equation (1985) (0)
- Александр Петрович Веселов (к 60-летию со дня рождения)@@@Aleksandr Petrovich Veselov (on his 60th birthday) (2016) (0)
- Abelian integrals, algebraic functions and compact Riemann surfaces in the semiclassical (2016) (0)
- Commuting difference operators and the combinatorial Gale transform (2015) (0)
- Two-Dimensional Periodic Schrödinger Operators Integrable at an Energy Eigenlevel (2019) (0)
- Людвиг Дмитриевич Фаддеев (некролог)@@@Ludvig Dmitrievich Faddeev (obituary) (2017) (0)
- A G ] 1 N ov 2 01 1 Soliton equations and the Riemann-Schottky problem (2011) (0)
- EVOLUTION OF A WHITHAM ZONE IN THE KORTEWEG-DE (1987) (0)
- OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON LINEAR EQUATIONS (2011) (0)
- Local Σ-realization of metrics of positive curvature in Euclidean space (1986) (0)
- Alexandre Mikhailovich Vinogradov (2020) (0)
- A pr 2 00 6 A characterization of Prym varieties (2006) (0)
- Characterizing Jacobians of algebraic curves with involution (2021) (0)
- On the eigenvalues of a perturbed almost periodic operator that are immersed in the continuous spectrum (2017) (0)
- Ju n 20 05 A characterization of Prym varieties (2005) (0)
- Виктор Матвеевич Бухштабер (к семидесятилетию со дня рождения)@@@Viktor Matveevich Buchstaber (on his 70th birthday) (2003) (0)
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