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J-GLOBAL ID:200901090064671631   Update date: Sep. 19, 2024

Satoh Takao

サトウ タカオ | Satoh Takao
Affiliation and department:
Job title: Professor
Homepage URL  (1): https://www.rs.tus.ac.jp/math2/math2/tsatoh/tsatoh-homepage/index.html
Research field  (2): Algebra ,  Geometry
Research keywords  (9): Topology(Mapping class group of surfaces, Johnson homomorphisms, Character variety) ,  Cohomology of groups, Combinatorial group theory ,  Topology(Mapping class group of surfaces, Johnson homomorphisms) ,  自由群の自己同型群 ,  群のコホモロジー ,  代数的位相幾何学 ,  Automorphism group of a free group ,  Cohomology of groups ,  Algebraic topology
Research theme for competitive and other funds  (13):
  • 2022 - 2025 Studies on unstable cohomologies of the automorphism groups of free groups and its associated Lie algebras
  • 2019 - 2023 Study on cohomologies of automorphism groups of free groups focued on the unstable range
  • 2018 - 2023 Geometry of the braid groups and mapping class groups and their growth
  • 2016 - 2020 Studies of higher twisted cohomology groups of automorphism groups of free groups
  • 2015 - 2018 Topological studies on Riemann surfaces through Lie bialgebras
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Papers (34):
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MISC (23):
  • Takao Satoh. On the Johnson homomorphisms of the basis-conjugating automorphism groups of free groups. 京都大学数理解析研究所講究録. 2024. 2276. 158-162
  • 佐藤 隆夫. 自由群の自己同型群とその部分群のAndreadakis予想とJohnson準同型について. 京都大学数理解析研究所講究録. 2019. 2135. 112-125
  • Takao Satoh. On the Andreadakis conjecture of the automorphism group of a free group. 京都大学数理解析研究所講究録. 2018. 2098. 28-32
  • Satoh, Takao. On the low dimensional cohomology groups of the IA-automorphism group of the free group of rank three. 京都大学数理解析研究所講究録. 2018. 2061. 120-125
  • Satoh, Takao. On the low dimensional cohomology groups of the IA-automorphism group of the free group of rank three. 京都大学数理解析研究所講究録. 2018. 2061. 120-125
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Books (11):
  • 群とは何か
    東京理科大学科学フォーラム2024年4月号 2024
  • 群のコホモロジー
    近代科学社 2022 ISBN:9784764906501
  • テキストブック線形代数
    裳華房 2019 ISBN:9784785315825
  • Symmetry (Group Theory) and Mathematical Treatment in Chemistry (Edited by Takashiro Akitsu), Chapter 3, Group Theory from a Mathematical viewpoint
    IntechOpen 2018 ISBN:9781789233155
  • 京都大学数理解析研究所講究録2060巻
    京都大学数理解析研究所 2018
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Lectures and oral presentations  (117):
  • On the Johnson homomorphisms of the McCool groups
    (新潟代数セミナー 2023)
  • On the Johnson homomorphisms of the basis-conjugating automorphism groups of free groups
    (RIMS共同研究:変換群の幾何とトポロジー 2023)
  • On the Aut F_n-actions on the fibers of free group covers of the products of cyclic groups
    (代数的位相幾何学の軌跡と展望 2022)
  • On twisted unstable cohomologies of automorphism groups of free groups
    (RIMS研究集会「変換群論の新展開」 2021)
  • On twisted unstable cohomologies of automorphism groups of free groups
    (Transformation Group Theory 2021)
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Education (4):
  • - 2006 The University of Tokyo Graduate School of Mathematical Scieces Mathematical Science
  • - 2006 The University of Tokyo
  • - 2006 The University of Tokyo Graduate School, Division of Mathematical Sciences Mathematical Science
  • - 2002 Tokyo Metropolitan University(東京都立大学) Faculty of Science Department of Mathematics
Professional career (1):
  • Doctor(Mathematical Science) (The University of Tokyo)
Committee career (9):
  • 2022/07 - 2024/07 日本数学会 教育委員会専門委員
  • 2022/07 - 2024/07 日本数学会 公私立数学系学科懇談会幹事
  • 2023/11/30 - 2023/12/02 The 49th Symposium on Transformation Group Theory Organizer
  • 2022/11/25 - 2022/11/27 The 48th Symposium on Transformation Group Theory Organizer
  • 2022/03/11 - 2022/03/11 代数的位相幾何学の軌跡と展望 研究集会世話人
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Awards (1):
  • 2016/03/29 - 学校法人東京理科大学 優秀研究者奨励賞
Association Membership(s) (2):
日本数学会 ,  Mathematical Society of Japan
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