D-Index & Metrics Best Publications

Michio Jimbo

Rikkyo University
Japan

Mathematics

Japan

2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name Citations Publications World Ranking National Ranking

Mathematics D-index 73 Citations 30,602 232 World Ranking 147 National Ranking 1

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Japan Leader Award

2022 - Research.com Mathematics in Japan Leader Award

2013 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics

Overview

What is he best known for?

The fields of study Michio Jimbo is best known for:

Affine Lie algebra
Lie algebra
Quantum mechanics

His study focuses on the intersection of Plane (geometry) and fields such as Geometry with connections in the field of Correlation and Basis (linear algebra). His Geometry research extends to the thematically linked field of Basis (linear algebra). Many of his studies involve connections with topics such as Vertex model and Feynman diagram and Mathematical physics. His research ties Combinatorics and Vertex model together. He frequently studies issues relating to Parameterized complexity and Combinatorics. His Artificial intelligence study typically links adjacent topics like Complex system and Class (philosophy). His research ties Artificial intelligence and Class (philosophy) together. As part of his studies on Pure mathematics, he often connects relevant areas like Commutative property. His research on Algebra over a field frequently connects to adjacent areas such as Quantum group.

His most cited work include:

Exactly solvable SOS models (200 citations)
Painlevé test for the self-dual Yang-Mills equation (192 citations)
Quasi-Hopf twistors for elliptic quantum groups (142 citations)

What are the main themes of his work throughout his whole career to date

Pure mathematics and Algebra over a field are frequently intertwined in his study. In his articles, Michio Jimbo combines various disciplines, including Quantum mechanics and Condensed matter physics. He connects Condensed matter physics with Quantum mechanics in his study. He integrates Mathematical analysis and Combinatorics in his studies. Michio Jimbo incorporates Combinatorics and Pure mathematics in his research. Michio Jimbo performs integrative Geometry and Mathematical analysis research in his work. He undertakes multidisciplinary investigations into Magnetic field and Magnetoresistance in his work. Michio Jimbo brings together Magnetoresistance and Giant magnetoresistance to produce work in his papers. He merges many fields, such as Giant magnetoresistance and Magnetic field, in his writings.

Michio Jimbo most often published in these fields:

Pure mathematics (57.14%)
Quantum mechanics (46.75%)
Mathematical physics (35.06%)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

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

Michio Jimbo.
Letters in Mathematical Physics (1985)

4255 Citations

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

Michio Jimbo.
Letters in Mathematical Physics (1986)

2182 Citations

Solitons and Infinite Dimensional Lie Algebras

Michio Jimbo;Tetsuji Miwa.
Publications of The Research Institute for Mathematical Sciences (1983)

1952 Citations

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

Michio Jimbo;Tetsuji Miwa.
Physica D: Nonlinear Phenomena (1981)

1535 Citations

Quantum $R$ matrix for the generalized Toda system

Michio Jimbo.
Communications in Mathematical Physics (1986)

1282 Citations

TRANSFORMATION GROUPS FOR SOLITON EQUATIONS

Etsuro Date;Masaki Kashiwara;Tetsuji Miwa;Michio Jimbo.
Bosonization. Edited by STONE M. Published by World Scientific Publishing Co. Pte. Ltd (1982)

1241 Citations

Algebraic Analysis of Solvable Lattice Models.

Michio Jimbo;Tetsuji Miwa.
(1994)

1121 Citations

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

Michio Jimbo;Tetsuji Miwa;Kimio Ueno.
Physica D: Nonlinear Phenomena (1981)

870 Citations

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

Michio Jimbo;Tetsuji Miwa.
Physica D: Nonlinear Phenomena (1981)

806 Citations

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

Michio Jimbo;Tetsuji Miwa;Yasuko Môri;Mikio Sato.
Physica D: Nonlinear Phenomena (1980)