Kimoto Kazufumi

写真a

Title

Professor

Researcher Number(JSPS Kakenhi)

10372806

Homepage URL

https://researchmap.jp/kimoto_kazufumi/

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Current Affiliation Organization 【 display / non-display 】

  • Concurrently   University of the Ryukyus   Graduate School of Engineering and Science   Mathematical Sciences   Professor  

  • Duty   University of the Ryukyus   Faculty of Science   Mathematical Sciences   Professor  

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Academic degree 【 display / non-display 】

  • Kyushu University -  Doctor(Mathematical Science)

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External Career 【 display / non-display 】

  • 2000.04
    -
    2003.03

     

  • 2003.10
    -
    2007.03

    University of the Ryukyus, Faculty of Science, Department of Mathematical Sciences, Information Mathematics, Research Assistants  

  • 2007.04
    -
    2010.12

    University of the Ryukyus, Faculty of Science, Department of Mathematical Sciences, Information Mathematics, Research Associate  

  • 2011.01
    -
    2015.03

    University of the Ryukyus, Faculty of Science, Department of Mathematical Sciences, Information Mathematics, Associate Professor  

  • 2015.04
    　
    　

    University of the Ryukyus, Faculty of Science, Department of Mathematical Sciences, Information Mathematics, Professor  

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Affiliated academic organizations 【 display / non-display 】

  • 1999.09
    -
    Now
     

    Mathematical Society of Japan 

  • 2009.04
    -
    Now
     

    American Mathematical Society 

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Research Interests 【 display / non-display 】

  • Representation Theory

  • combinatorics

  • Zeta Functions

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Research Areas 【 display / non-display 】

  • Natural Science / Algebra

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Research Theme 【 display / non-display 】

  • Study of Spectra for Laplacians of Categories Attached to Infinite-Dimensional Groups

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Published Papers 【 display / non-display 】

  • Remarks and examples on two-variable zeta functions for graphs

    Kazufumi KIMOTO

    Ryukyu Mathematical Journal   36   49 - 68   2023.12

    Type of publication: Research paper (bulletin of university, research institution)

  • Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals

    Kazufumi Kimoto, Masato Wakayama

    Annales de l’Institut Henri Poincaré D ( European Mathematical Society - EMS - Publishing House GmbH )    2022.12 [ Peer Review Accepted ]

    Type of publication: Research paper (scientific journal)

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      DOI

  • Linear relations for Bernoulli numbers and its application to congruences involving harmonic sums

    Kazufumi Kimoto

    Ryukyu Mathematical Journal   35   1 - 11   2022.12

    Type of publication: Research paper (bulletin of university, research institution)

  • Wreath determinants, zonal spherical functions on symmetric groups and the Alon-Tarsi conjecture

    Kazufumi KIMOTO

    Ryukyu Mathematical Journal   34   5 - 19   2022.01

    Type of publication: Research paper (bulletin of university, research institution)

  • Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model

    Kazufumi Kimoto, Cid Reyes-Bustos, Masato Wakayama

    International Mathematics Research Notices     2020.04 [ Peer Review Accepted ]

    Type of publication: Research paper (scientific journal)

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Books 【 display / non-display 】

  • International Symposium on Mathematics, Quantum Theory, and Cryptography : Proceedings of MQC 2019

    Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Yasuhiko Ikematsu ( Part: Single Author )

    Springer Singapore  2020

  • Mathematical modelling for next-generation cryptography : Crest Crypto-math Project

    Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Dung Hoang Duong ( Part: Single Author )

    2017.08

  • Perspectives of representation theory and noncommutative harmonic analysis

    Kazufumi Kimoto ( Part: Editing and Writing )

    Research Institute for Mathematical Sciences (RIMS)  2013.02

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Other Papers 【 display / non-display 】

  • Alpha determinants and symmetric polynomials

    木本一史

    数理解析研究所講究録   1913   81 - 92   2014.08

     

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Grant-in-Aid for Scientific Research 【 display / non-display 】

  • Representation theory, number theory and combinatorics arising from parametric deformations of representation-theoretic structures

    Grant-in-Aid for Scientific Research(C)

    Project Year: 2022.04  -  2026.03 

    Direct: 2,000,000 (YEN)  Overheads: 2,600,000 (YEN)  Total: 600,000 (YEN)

  • Study of special functions and combinatorics arising from parametric deformation of representation-theoretic structures

    Grant-in-Aid for Scientific Research(C)

    Project Year: 2018.04  -  2022.03 

    Direct: 2,700,000 (YEN)  Overheads: 3,510,000 (YEN)  Total: 810,000 (YEN)

  • Study of special functions and combinatorics arising from parametric deformation of representation-theoretic structures

    Grant-in-Aid for Scientific Research(C)

    Project Year: 2018.04  -  2022.03 

    Direct: 2,700,000 (YEN)  Overheads: 3,510,000 (YEN)  Total: 810,000 (YEN)

  • Study of special functions which are captured by parametric deformations of representation-theoretical structures

    Grant-in-Aid for Scientific Research(C)

    Project Year: 2013.04  -  2016.03 

    Investigator(s): Kimoto Kazufumi 

    Direct: 2,400,000 (YEN)  Overheads: 3,120,000 (YEN)  Total: 720,000 (YEN)

    　View Summary

    We have studied a parametric deformation of the determinant and the quantum harmonic oscillator, which are equipped with nice invariance and symmetries. As for the parametric deformation of the determinant, we have utilized relative invariants defined by such a deformation to introduce and study a generalization of the group determinants, to give a formula for the value of zonal spherical functions and irreducible characters for symmetric groups, and to prove the Alon-Tarsi conjecture on Latin squares in special cases. As for the parametric deformation of the quantum harmonic oscillator, we have studied the functions which arise from a certain special value of the associated spectral zeta function which satisfies transformation rules similar to those for modular forms.

  • Grant-in-Aid for Scientific Research(C)

    Project Year: 2010  -  2012 

    Direct: 800,000 (YEN)  Overheads: 240,000 (YEN)  Total: 1,040,000 (YEN)

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