Rchr
J-GLOBAL ID：200901082339971972
Update date: Feb. 01, 2024
Abe Toshiyuki
アベ トシユキ | Abe Toshiyuki
Affiliation and department：
Job title：
Professor
Research field (1)：
Algebra
Research keywords (14)：
共形場理論
, 頂点作用素代数
, 代数
, 環
, 群
, リー代数
, 表現論
, conformal field theory
, vertex operator algebra
, algebra
, ring
, group
, Lie algebra
, representation theory
Research theme for competitive and other funds (9)：
- 2019 - 2021 Toward solutions of vary conjectures in group theory and the theory of vertex operator algebra
- 2015 - 2019 Study on induced representations of vertex operator algebras
- 2012 - 2018 Various aspects of sporadic simple groups
- 2011 - 2015 Study on finiteness properties of orbifold models of vertex operator algebras
- 2008 - 2011 Study on finiteness properties of vertex operator algebras
- 2007 - 2010 Study on algebraic or combinatorial structures whose automorphism groups contain finite simple groups
- 2005 - 2008 Study on vertex operator algebras and its representation theory
- 2007 - 2008 New developments in representation theories of vertex operator algebras and their applications
- 2005 - 2006 Expansion and application of representation theory of vertex operator algebras by means of the universal enveloping algebras.
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Papers (19)：
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宮崎智也, 吉岡倖佑, 原本博史, 安部利之. 大西佐兵衛『雑題』の現代解について~第8 巻第1 問から第4 問~. 愛媛大学教育学部付属科学教育センター紀要. 2023. 2. 17-22
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Nena Kuribayashi, Sena Takaaze, Hiroaki Fujimoto, Kazuma Miyakoda, Toshiyuki Abe. On series of Collatz’s twins for Collatz conjecture. 2022. 1. 23-26
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Heiwa MUKO, Manabu SUMIDA, Go NAKAMOTO, Takashi KUMAGAI, Atsushi OHASHI, Yoriko NAKAMURA, Masahiro HIZUME, Sakae SANO, Toshiyuki ABE, Naomichi YOSHIMURA, et al. Development and Practice of Teacher Training Program For Improving Leadership of Project Research. 2019. 17. 17. 55-60
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Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada. Extensions of tensor products of Zp-orbifold models of the lattice vertex operator algebra V2Ap-1. Journal of Algebra. 2018. 510. 24-51
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Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada. On Zp-orbifold constructions of the Moonshine vertex operator algebra. Mathematische Zeitschrift. 2018. 290. 1-2. 1-15
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MISC (19)：
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安部 利之, 千吉良 直紀. 原田予想IIの解決に向けて. 数理解析研究所講究録. 2021. 2189. 77-86
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Abe Toshiyuki. On V-internal intertwining operators. RIMS Kokyuroku. 2020. 2169. 82-90
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Toshiyuki Abe. On Harada conjecture II. 2019
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冨永剛志, 宇都宮憲二, 山本泰久, 安部利之, 河村泰之, 吉村直道. 解決の家庭や結果を振り返って修正・改善する力の育成. 愛媛大学教育学部附属中学校研究紀要. 2017. 69. 83-108
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安部 利之. 頂点作用素代数 $\mathrm{Com}_{(\mathcal{L}_{\widehat{sl}_{2 } }(1,0)^{\otimes4})^\tau}(\mathcal{L}_{\widehat{sl}_{2 } }(4,0))$ の既約加群の分類について (有限群とその表現、頂点作用素代数、代数的組合せ論の研究). 数理解析研究所講究録. 2015. 1965. 13-20
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Lectures and oral presentations (58)：
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「雑題」第九~第十を読む 巻九[9-6]
(第49回愛媛和算研究会 2023)
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Harada's Conjecture II and Gramian determinants
(2023)
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小寺裕著「天生法百景」93番について
(第48回愛媛和算研究会 2023)
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On Harada conjecture II
(RIMS Workshop Research on finite groups, algebraic combinatorics, and vertex algebras 2020)
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On V-internal intertwining operators
(Research on algebraic combinatorics, related groups and algebras 2019)
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Education (3)：
- 1999 - 2002 Osaka university Graduate school of Science Doctor course Mathematics
- 1997 - 1999 Osaka university Graduate school of Science Master course Mathematics
- 1993 - 1997 Osaka university Faculty of Sicence Mathematics
Professional career (1)：
- Doctor of Science (Osaka University)
Work history (4)：
- 2020/04 - 現在 愛媛大学データサイエンスセンター 兼任教員
- 2014/04 - 現在 Ehime university Faculty of Education Professor
- 2007/04 - 2014/03 Ehime university Graduate school of Science and Engineering Associate Professor
- 2004/06 - 2007/03 Ehime university Faculty of Science Lecturer
Committee career (3)：
- 2020/06 - 現在 愛媛県教育委員会 高校生おもしろ科学コンテスト(数学部門) 作問委員
- 2020/05 - 現在 愛媛県高等学校教育研究会数学部会 顧問
- 2015/03 - 2016/02 日本数学会 地方地区代議員
Association Membership(s) (2)：
日本数学会
, Mathematical Society of Japan
