World's Best Scientists 2026 revealed!
Michio Jimbo

Michio Jimbo

Award Badge
Mathematics
Japan
2026

D-Index & Metrics

Mathematics

D-Index
79
Citations
34046
World Ranking
159
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Mathematics in Japan Leader Award
  • 2025 - Research.com Mathematics in Japan Leader Award
  • 2023 - Research.com Mathematics in Japan Leader Award
  • 2013 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics

Overview

Michio Jimbo is affiliated with Rikkyo University in Japan and has contributed to a range of research topics primarily in mathematics and physics. Their work encompasses areas such as algebraic structures and combinatorial models, advanced topics in algebra, nonlinear waves and solitons, and random matrices and applications. Additional research interests include molecular spectroscopy, chirality, nanocluster synthesis, and advanced operator algebra research.

The scientist has published in several specialized fields, including geometry and topology, algebra and number theory, statistical and nonlinear physics, statistics and probability, and spectroscopy. This distribution reflects a multidisciplinary approach centered mainly on mathematical frameworks and physical phenomena.

Michio Jimbo's frequent coauthors include E. Mukhin, Boris Feigin, Tetsuji Miwa, F. Smirnov, and Pierre Schapira. This network highlights collaborations within mathematical physics and algebraic studies.

The publication venues where the scientist's work appears are:

  • arXiv (Cornell University)
  • Symmetry Integrability and Geometry Methods and Applications
  • Notices of the American Mathematical Society

Notable recent papers authored or coauthored by Michio Jimbo are:

  • Combinatorial bases in quantum toroidal ₂ modules, 2024, arXiv (Cornell University)
  • Non-local integrals of motion for deformed -algebra _{,}() associated with g = A_{l}^{(1)}, D_{l}^{(1)}, E_{6,7,8}^{(1)}, 2025, arXiv (Cornell University)

Other recent papers related to collaborative research or broader fields include:

  • Quantum Toroidal Comodule Algebra of Type A_{n−1} and Integrals of Motion, 2022, Symmetry Integrability and Geometry Methods and Applications
  • Memories of Mikio Sato (1928-2023), 2024, Notices of the American Mathematical Society

In the area of academic publishing, Michio Jimbo has authored a book published by Mathematical Surveys and Monographs titled Local Operators in Integrable Models I (2021).

Among the awards listed, Michio Jimbo received the Dannie Heineman Prize for Mathematical Physics, awarded by the American Physical Society and American Institute of Physics in 2013.

Best Publications

  • A q -difference analogue of U(g) and the Yang-Baxter equation

    Michio Jimbo

  • A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation

    Michio Jimbo

  • Solitons and Infinite Dimensional Lie Algebras

    Michio Jimbo;Tetsuji Miwa

  • Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II

    Michio Jimbo;Tetsuji Miwa

  • Quantum $R$ matrix for the generalized Toda system

    Michio Jimbo

  • TRANSFORMATION GROUPS FOR SOLITON EQUATIONS

    Etsuro Date;Masaki Kashiwara;Tetsuji Miwa;Michio Jimbo

  • Algebraic Analysis of Solvable Lattice Models.

    Michio Jimbo;Tetsuji Miwa

  • Monodromy preserving deformation of linear ordinary differential equations with rational coefficients: I. General theory and τ-function

    Michio Jimbo;Tetsuji Miwa;Kimio Ueno

  • Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III

    Michio Jimbo;Tetsuji Miwa

  • Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent

    Michio Jimbo;Tetsuji Miwa;Yasuko Môri;Mikio Sato

  • Operator Approach to the Kadomtsev-Petviashvili Equation —Transformation Groups for Soliton Equations III—

    Etsuro Date;Michio Jimbo;Masaki Kashiwara;Tetsuji Miwa

  • Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type

    Etsuro Date;Michio Jimbo;Masaki Kashiwara;Tetsuji Miwa

  • Correlation functions of the XXZ model for Δ < − 1

    Michio Jimbo;Kei Miki;Tetsuji Miwa;Atsushi Nakayashiki

  • Quantum KZ equation with |q| = 1 and correlation functions of the XXZ model in the gapless regime

    Michio Jimbo;Tetsuji Miwa

  • Diagonalization of the $XXZ$ Hamiltonian by vertex operators

    Brian Davies;Brian Davies;Omar Foda;Michio Jimbo;Tetsuji Miwa

  • Monodromy Problem and the Boundary Condition for Some Painlevé Equations

    Michio Jimbo

  • Transformation Groups for Soliton Equations —Euclidean Lie Algebras and Reduction of the KP Hierarchy—

    Etsuro Date;Michio Jimbo;Masaki Kashiwara;Tetsuji Miwa

  • INTRODUCTION TO THE YANG-BAXTER EQUATION

    Michio Jimbo

  • Method for Generating Discrete Soliton Equation. III

    Etsuro Date;Michio Jimbo;Tetsuji Miwa

  • Correlation Functions of the XXZ model for $\Delta<-1$

    Michio Jimbo;Kei Miki;Tetsuji Miwa;Atsushi Nakayashiki

Frequent Co-Authors

Tetsuji Miwa
Tetsuji Miwa Kyoto University
Boris Feigin
Boris Feigin Hebrew University of Jerusalem
Masato Okado
Masato Okado Osaka Metropolitan University
Masaki Kashiwara
Masaki Kashiwara Kyoto University
Satoru Odake
Satoru Odake Shinshu University
Atsuo Kuniba
Atsuo Kuniba University of Tokyo
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Alfred Ramani
Alfred Ramani Centre national de la recherche scientifique, CNRS
B. Grammaticos
B. Grammaticos University of Paris-Saclay

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