World's Best Scientists 2026 revealed!
Igor Moiseevich Krichever

Igor Moiseevich Krichever

D-Index & Metrics

Mathematics

D-Index
51
Citations
11472
World Ranking
1019
National Ranking
472

Igor Moiseevich Krichever publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Igor Moiseevich Krichever sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 166 publications — 47th percentile

47% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Igor Moiseevich Krichever D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Igor Moiseevich Krichever sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 51 D-Index — 73rd percentile

73% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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