SATO Masatoshi

サトウマサトシ | SATO Masatoshi

Affiliation and department：
Job title： Associate Professor
Homepage URL (2)： https://www.cck.dendai.ac.jp/math/~msato/index.html , https://www.cck.dendai.ac.jp/math/~msato/index-e.html

Research field (1)： Geometry

Research keywords (3)：写像類群 , トレリ群 , 群コホモロジー

Research theme for competitive and other funds (8)：

2022 - 2026 LMO関手と曲面の写像類群の部分群の研究
2018 - 2024 写像類群の部分群のコホモロジー群と3次元多様体の研究
2014 - 2019 A study of cohomology of subgroups of the mapping class group and finite type invariants of homology three spheres
2015 - 2018 Topological studies on Riemann surfaces through Lie bialgebras
2012 - 2016 Topological study of Riemann surfaces through infinite-dimensional Lie algebras

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Papers (15)：

On the kernel of the surgery map restricted to the 1-loop part. Journal of Topology. 2022. 15. 2. 587-619
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki. Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor. Geometry & Topology. 2022. 26. 1. 221-282
Yusuke Kuno, Masatoshi Sato. The Meyer function on the handlebody group. Turkish Journal of Mathematics. 2020. 44. 1520-1533
ISHIDA TOMOHIKO, SATO MASATOSHI. A twisted first homology group of the handlebody mapping class group. Osaka Journal of Mathematics. 2017. 54. 3. 587-619
点つき球面の写像類群上の安定交換子長について. 数理解析研究所講究録別冊. 2014. 48. 43-56

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MISC (17)：

Yuta Nozaki, Masatoshi Sato and Masaaki Suzuki. A non-commutative Reidemeister-Turaev torsion of homology cylinders. Transactions of the American Mathematical Society. 2023. 7. 376. 5045-5088
On the kernel of the surgery map restricted to the 1-loop part. 2021. 15. 2. 587-619
Abelian quotients of the Y-filtration on the homology cyliders via the LMO functor. 日本数学会トポロジー分科会講演アブストラクト. 2020
科研費研究終了報告 (26800034:写像類群の部分群のコホモロジー群とホモロジー3球面の有限型不変量の研究). 2019
佐藤正寿. 有向曲面, 非有向曲面のレベルつき写像類群のアーベル化について. 数理解析研究所講究録. 2015. 1936. 68-77

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Lectures and oral presentations (18)：

LMO関手による写像類群の部分群の可換商
(数理科学科談話会・東京理科大学幾何学セミナー 2023)
LMO関手によるTorelli群の降中心列の次数商の評価
(佐賀大学・学習院大学合同トポロジーセミナー 2023)
Johnson 核の1 次ホモロジー群のべき零性
(写像類群の部分群のコホモロジーと特殊線型群の表現 2023)
群のcharacteristic variety の有限性
(写像類群の部分群のコホモロジーと特殊線型群の表現 2023)
A non-commutative Reidemeister-Turaev torsion of homology cylinders
(微分トポロジーセミナー 2022)

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Education (1)：

- 2010 The University of Tokyo Graduate School, Division of Mathematical Sciences Mathematical Sciences

Professional career (1)：

Work history (8)：

2022/04 - 2023/03 津田塾大学学芸学部
2017/04 - 2021/03 津田塾大学学芸学部大学等非常勤研究員
2012/04 - 2015/08 Gifu University Department of Mathematics Education, Faculty of Education Assistant Professor
2012/04 - 2015/08 Gifu University Department of Mathematics Education, Faculty of Education Assistant Professor Faculty of Education
2011/04 - 2012/03 Part-time researcher for university or other academic organization

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Committee career (3)：

Awards (2)：

Association Membership(s) (1)：

日本数学会

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