Curriculum Vitaes
Profile Information
- Affiliation
- School of Arts and SciencesDivision of Mathematical Sciences, Tokyo Woman's Christian University
- Degree
- 理学(博士)(筑波大学)
- Researcher number
- 40452213
- J-GLOBAL ID
- 201801006583250090
- researchmap Member ID
- B000326093
数学・代数学・頂点作用素代数
Mathematics/Algebra/Vertex operator algebras
Mathematics/Algebra/Vertex operator algebras
Research Interests
2Research Areas
1Research History
7-
Apr, 2025 - Present
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Apr, 2013 - Mar, 2024
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Apr, 2010 - Mar, 2013
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Apr, 2008 - Mar, 2010
Papers
28-
Advances in Mathematics, 465 110146-110146, Apr, 2025 Peer-reviewedCorresponding author
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Algebraic Combinatorics and the Monster Group, 143-163, Aug 17, 2023 Peer-reviewedLead author
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Transactions of the American Mathematical Society, 375(3) 2025-2067, Jan 7, 2022 Peer-reviewedCorresponding author<p>In this paper, we present a general construction of 3-transposition groups as automorphism groups of vertex operator algebras. Applying to the moonshine vertex operator algebra, we establish the Conway-Miyamoto correspondences between Fischer 3-transposition groups and and and Virasoro vectors of subalgebras of the moonshine vertex operator algebra.</p>
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Journal of Algebra, 573 451-475, May, 2021 Peer-reviewed
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Journal of the Mathematical Society of Japan, 73(1) 185-209, Jan, 2021 Peer-reviewed
Misc.
1-
Mar 9, 2002We investigate a general theory of the Z_2-twisted representations of vertex<br /> operator superalgebras. Certain one-to-one correspondence theorems are<br /> established. We also give an explicit realization of the Ising model SVOA and<br /> its Z_2-twisted modules. As an application, we obtain the Gerald Hoehn's<br /> Babymonster SVOA VB and its Z_2-twisted module VB_{tw} from the moonshine VOA<br /> V^\nat by cutting off the Ising models. It is also shown in this paper that Aut<br /> (VB) is finite.
Research Projects
11-
科学研究費助成事業, 日本学術振興会, Apr, 2022 - Mar, 2026
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Jul, 2021 - Mar, 2026
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Oct, 2019 - Mar, 2025
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科学研究費助成事業, 日本学術振興会, Apr, 2019 - Mar, 2023
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科学研究費助成事業, 日本学術振興会, Apr, 2017 - Mar, 2022