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Current Affiliation Organization 【 display / non-display 】

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Affiliated academic organizations 【 display / non-display 】

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

Published Papers 【 display / non-display 】

Published Papers 【 display / non-display 】

• 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)

• Generalized Group-Subgroup Pair Graphs

  Kazufumi Kimoto

  Mathematics for Industry   33   169 - 185   2020 [ Peer Review Accepted ]

  Type of publication: Research paper (international conference proceedings)

• Highest Weight Vectors in Plethysms

  Kazufumi Kimoto, Soo Teck Lee

  Communications in Mathematical Physics   378 ( 3 ) 1817 - 1841   2019.12 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

  • Access this article
    DOI

• グループワークとEラーニングを組み合わせた指導による線形代数及び同演習の授業改善及び中等教育への提言 ― アクティブ・ラーニングの始点から ―

  小須田 雅・木本 一史・漢那 初美

  琉球大学大学院教育学研究科高度教職実践専攻（教職大学院）紀要   2   189 - 200   2018.03

  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

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

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

• 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)

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

  Project Year: 2013.04  -  2016.03 

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

• Grant-in-Aid for Young Scientists(B)

  Project Year: 2008  -  2009 

  Direct: 700,000 (YEN)  Overheads: 210,000 (YEN)  Total: 910,000 (YEN)

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