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J-GLOBAL ID：200901097733036240   Update date: Nov. 18, 2024

Akita Toshiyuki

Akita Toshiyuki
Affiliation and department：
北海道大学 理学研究院数学部門

About 北海道大学 理学研究院数学部門


Job title： 教授
Other affiliations (1)：
Research field  (1)： Geometry
Research keywords  (10)： group cohomology ,  quandle ,  homotopy theory ,  algebraic topology ,  Artin group ,  classifying space ,  topology ,  Coxeter group ,  Euler characteristic ,  mapping class group
Research theme for competitive and other funds  (20)：
  • 2024 - 2028 群のホモロジー、Wirtinger群、カンドル、クロス加群の位相幾何学的研究
  • 2020 - 2024 Cohomology of Coxeter groups, Artin groups, and Coxeter quandles
  • 2017 - 2020 Topological studies on cohomology of Artin groups and related topics
  • 2014 - 2017 Cohomology of mapping class groups, Coxeter groups and Artin groups
  • 2011 - 2013 Constructions of cocycles of finite groups by characteristic classes
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Papers (25)：
  • Toshiyuki Akita, Sota Takase. Groups having Wirtinger presentations and the second group homology. Kobe Journal of Mathematics. 2024. 41. 33-39
  • Toshiyuki Akita, Rikako Kawasaki, Takao Satoh. Presentations of Schur covers of braid groups. Journal of Group Theory. 2023
  • Toshiyuki Akita. Embedding Alexander quandles into groups. Journal of Knot Theory and Its Ramifications. 2023. 32. 02
  • Toshiyuki Akita, Aoi Hasegawa, Masayoshi Tanno. Structure of the associated groups of quandles. Kodai Mathematical Journal. 2022. 45. 2. 270-281
  • Toshiyuki Akita. The adjoint group of a Coxeter quandle. Kyoto Journal of Mathematics. 2020. 60. 4. 1245-1260
ｍore...
MISC (6)：
  • Akita Toshiyuki. VANISHING THEOREMS FOR THE HOMOLOGY OF COXETER GROUPS AND THEIR ALTERNATING SUBGROUPS (Cohomology theory of finite groups and related topics). RIMS Kokyuroku. 2015. 1967. 53-58
  • 秋田 利之. COXETER群のホモロジーの$p$-PRIMARY COMPONENTについて (変換群の位相幾何と代数構造). 数理解析研究所講究録. 2014. 1922. 170-174
  • Akita Toshiyuki. Surface symmetries, homology representations, and group cohomology. 2008. 1581. 103-108
  • 秋田利之. 写像類群の有限部分群と森田-Mumford類(双曲空間及び離散群の研究II). 数理解析研究所講究録. 2002. 1270. 1-10
  • 秋田 利之. 群のEULER数について:COXETER群の場合(代数的組み合わせ論). 数理解析研究所講究録. 1996. 962. 137-147
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Lectures and oral presentations  (24)：
  • Groups having Wirtinger presentations and the second group homology
    (第50回変換群論シンポジウム 2024)
  • 代数トポロジーへの誘い
    (数学なんでもセミナー(公立千歳科学技術大学) 2024)
  • Groups having Wirtinger presentations and group homology
    (研究集会「トポロジーとコンピュータ 2024」 2024)
  • Freeness of crossed modules, augmented quandles, and crossed G-sets
    (研究集会「曲面の写像類群と群の不変量」 2024)
  • Free crossed modules and free augmented quandles
    (ホモトピー論シンポジウム2024 2024)
ｍore...
Professional career (1)：
  • 博士 (大阪大学)
Work history (6)：
  • 2017/04 - 現在 Hokkaido University Faculty of Science
  • 2007/04 - 2017/03 Hokkaido University Faculty of Science
  • 2006/04 - 2007/03 Hokkaido University Faculty of Science
  • 1999/08 - 2006/03 Hokkaido University
  • 1995/04 - 1999/07 Fukuoka University Faculty of Science
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Association Membership(s) (1)：
日本数学会
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