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J-GLOBAL ID：200901039884609544   Update date: Jan. 31, 2024

Jimbo Michio

ジンボウ ミチオ | Jimbo Michio
Affiliation and department：
Rikkyo University

About Rikkyo University


Other affiliations (2)：
  • Kyoto University
  • The University of Tokyo
Research field  (2)： Mathematical analysis ,  Basic analysis
Research keywords  (1)： quantum integrable systems
Research theme for competitive and other funds  (38)：
  • 2019 - トロイダル量子群と量子可積分系の研究
  • 2016 - 2018 量子トロイダル代数の可積分系への応用
  • 2014 - 2017 Representation of elliptic quantum groups and elliptic Ruijsenaars model
  • 2011 - 2015 Algebraic analysis of integrable models
  • 2010 - 2014 Representation theoretical aproach to multi-variate elliptic hypergeometric functions
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Papers (128)：
  • B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin. Fermionic formulas for eigenfunctions of the difference toda hamiltonian. Letters in Mathematical Physics. 2018. 88. 1-3. 39-77
  • B. Feigin, M. Jimbo, E. Mukhin. Integrals of motion from quantum toroidal algebras. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2017. 50. 46
  • B. Feigin, M. Jimbo, T. Miwa, E. Mukhin. Finite Type Modules and Bethe Ansatz for Quantum Toroidal gl(1). COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2017. 356. 1. 285-327
  • Boris Feigin, Michio Jimbo, Tetsuji Miwa, Eugene Mukhin. Finite Type Modules and Bethe Ansatz Equations. ANNALES HENRI POINCARE. 2017. 18. 8. 2543-2579
  • B. Feigin, M. Jimbo, T. Miwa, E. Mukhin. Branching rules for quantum toroidal gl(n). ADVANCES IN MATHEMATICS. 2016. 300. 229-274
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MISC (16)：
  • M. Jimbo, T. Miwa, F. Smirnov. Fermions acting on quasi-local operators in the XXZ model. Springer Proceedings in Mathematics and Statistics. 2013. 40. 243-261
  • Michio Jimbo, Masaki Kashiwara, Takahiro Kawai, Tetsuji Miwa, Hiraku Nakajima, Toshio Oshima. Preface to the special issue "The Golden Jubilee of Algebraic Analysis". PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. 2011. 47. 1. 1-9
  • Michio Jimbo. An algebraic representation for correlation functions in integrable spin chains. Algebraic Analysis of Differential Equations: From Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai. 2008. 157-166
  • 神保 道夫. 相関関数の代数的表示 : 非斉次XXX模型の場合 (可積分系数理の展望と応用). 数理解析研究所講究録. 2005. 1422. 99-105
  • Hara Y., Jimbo M., Konno H., Odake S., Shiraishi J. Lepowsky-Wilson's Z Algebra and Deformed Virasoro Algebra. Meeting abstracts of the Physical Society of Japan. 2000. 55. 2. 6-6
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Books (8)：
  • Local Operators in Integrable Models I
    American Mathematical Society 2021 ISBN:9781470465520
  • 数学入門辞典
    岩波書店 2005
  • 熱・波動と微分方程式
    岩波書店 2004 ISBN:4000068768
  • 複素関数入門
    岩波書店 2003 ISBN:4000068741
  • ホロノミック量子場
    岩波書店 1998 ISBN:4000106546
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Lectures and oral presentations  (9)：
  • Representations of quantum toroidal algebras
    (Recent Advances in Quantum Integrable Systems 2012)
  • Fermionic basis of local operators in quantum integrable models
    (国際数理物理学会 2012)
  • Fermions acting on local operators in the XXZ model: a review
    (対称性、可積分系と表現論 2011)
  • Fermionic basis of local operators in the sine-Gordon model
    (第8回ボローニャ共形場理論と可積分模型研究会 2011)
  • Fermionic basis of local fields in the sine-Gordon model
    (ゲージ・弦理論における可積分性(IGST2011) 2011)
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Education (2)：
  • - 1976 Kyoto University Graduate School, Division of Natural Science
  • - 1974 The University of Tokyo Faculty of Science
Professional career (2)：
  • Master (Kyoto University)
  • PhD (Kyoto University)
Work history (9)：
  • 2022/07 - 現在 Rikkyo University Professor Emeritus
  • 2012/06/19 - 現在 The University of Tokyo
  • 2010/04/27 - 現在 Kyoto University Professor Emeritus
  • 2017/04 - 2022/03 RIKKYO UNIVERSITY College of Science Department of Mathematics Specially Appointed Professor
  • 2009/04/01 - 2017/03/31 RIKKYO UNIVERSITY College of Science Department of Mathematics Professor
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Awards (5)：
  • 2013/03/18 - Dannie Heineman Prize
  • 2010/07/27 - Wigner Medal
  • 2000/01 - 朝日文化財団 朝日賞
  • 1993/06 - 日本学士院 日本学士院賞
  • 1987/10 - 日本数学会 日本数学会秋期賞
Association Membership(s) (1)：
日本数学会
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