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Igor Moiseevich Krichever

Igor Moiseevich Krichever

D-Index & Metrics

Mathematics

D-Index
51
Citations
11472
World Ranking
1019
National Ranking
471

Overview

Igor Moiseevich Krichever was affiliated with Columbia University in the United States and contributed extensively to the fields of mathematics and physics throughout their academic career. Their research centered notably on geometry and topology, statistical and nonlinear physics, mathematical physics, algebra and number theory, and computational theory within mathematics.

The scientist's main topics of investigation encompassed nonlinear waves and solitons, advanced differential equations and dynamical systems, algebraic geometry and number theory, advanced algebra and geometry, algebraic structures with combinatorial models, advanced topics in algebra, and homotopy and cohomology in algebraic topology.

Krichever authored numerous papers published in both prominent journals and preprint repositories. Some of the recent papers include:

  • Kadomtsev-Petviashvili Turning Points and CKP Hierarchy (2021), Communications in Mathematical Physics
  • Constrained Toda Hierarchy and Turning Points of the Ruijsenaars-Schneider Model (2022), Letters in Mathematical Physics
  • Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model (2022), Symmetry Integrability and Geometry Methods and Applications
  • Quasi-periodic Solutions of the Universal Hierarchy (2023), arXiv (Cornell University)
  • Александр Михайлович Виноградов (некролог) (2020), Успехи математических наук

Krichever's collaboration network included frequent coauthors such as A. Zabrodin, V. A. Vassiliev, S. P. Novikov, И.В. Асташова, and Alexander Verbovetsky, reflecting interdisciplinary cooperation across mathematical sciences.

The scientist's publications appeared mainly in venues including arXiv (Cornell University), Communications in Mathematical Physics, Letters in Mathematical Physics, Symmetry Integrability and Geometry Methods and Applications, and Успехи математических наук.

Krichever was also the author of at least one book published by the American Mathematical Society titled Integrability, Quantization, and Geometry in 2021.

Best Publications

  • METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

    I M Krichever

  • The τ‐function of the universal whitham hierarchy, matrix models and topological field theories

    I. M. Krichever

  • Integrability and Seiberg-Witten exact solution

    A. Gorsky;I. Krichever;A. Marshakov;A. Mironov

  • Integration of nonlinear equations by the methods of algebraic geometry

    I. M. Krichever

  • Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles

    I. M. Krichever

  • Algebras of virasoro type, riemann surfaces and structures of the theory of solitons

    Igor Moiseevich Krichever;S.P. Novikov

  • Method of averaging for two-dimensional "integrable" equations

    I. M. Krichever

  • Integrable Systems. I

    B. A. Dubrovin;I. M. Krichever;S. P. Novikov

  • HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS

    I M Krichever;S P Novikov

  • The dispersionless Lax equations and topological minimal models

    Igor Moiseevich Krichever

  • Quantum Integrable Models and Discrete Classical Hirota Equations

    I. Krichever;O. Lipan;P. Wiegmann;A. Zabrodin

  • Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations

    I. Krichever;O. Lipan;P. Wiegmann;A. Zabrodin

  • Vector bundles and lax equations on algebraic curves

    Igor Krichever

  • VIRASORO-TYPE ALGEBRAS, RIEMANN SURFACES AND STRINGS IN MINKOWSKY SPACE

    I. M. Krichever;S. P. Novikov

  • Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra

    I. Krichever;A. Zabrodin

  • On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories

    I. M. Krichever;D. H. Phong

  • ALGEBRAIC CURVES AND NON-LINEAR DIFFERENCE EQUATIONS

    I M Krichever

  • Commutative rings of ordinary linear differential operators

    I. M. Krichever

  • Rational solutions of the Kadomtsev — Petviashvili equation and integrable systems of N particles on a line

    I. M. Krichever

  • Spectral theory of two-dimensional periodic operators and its applications

    I M Krichever

Frequent Co-Authors

S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Anton Zabrodin
Anton Zabrodin National Research University Higher School of Economics
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Duong H. Phong
Duong H. Phong Columbia University
Andrei Vladimirovich Marshakov
Andrei Vladimirovich Marshakov Skolkovo Institute of Science and Technology
Albert N. Shiryaev
Albert N. Shiryaev Steklov Mathematical Institute
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Yuri I. Manin
Yuri I. Manin Max Planck Institute for Mathematics
Gregory P. Korchemsky
Gregory P. Korchemsky University of Paris-Saclay
Eric D'Hoker
Eric D'Hoker University of California, Los Angeles

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