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Published Papers 【 display / non-display 】

• Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones

  Motoko Kato, Shin-ichi Oguni

  Groups, Geometry, and Dynamics ( European Mathematical Society - EMS - Publishing House GmbH )  18 ( 4 ) 1291 - 1316   2024.03 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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• Semi-simple actions of the Higman-Thompson groups T<inf>n</inf> on finite-dimensional CAT(0) spaces

  Kato M.

  Geometriae Dedicata ( Geometriae Dedicata )  217 ( 5 )   2023.10 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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  Abstract In this paper, we study isometric actions on finite-dimensional CAT(0) spaces for the Higman–Thompson groups $$T_n$$, which are generalizations of Thompson’s group T. It is known that every semi-simple action of T on a complete CAT(0) space of finite covering dimension has a global fixed point. After this result, we show that every semi-simple action of $$T_n$$ on a complete CAT(0) space of finite covering dimension has a global fixed point. In the proof, we regard $$T_n$$ as ring groups of homeomorphisms of $$S^1$$ introduced by Kim, Koberda and Lodha, and use general facts on these groups.

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• ACYLINDRICAL HYPERBOLICITY OF ARTIN–TITS GROUPS ASSOCIATED WITH TRIANGLE-FREE GRAPHS AND CONES OVER SQUARE-FREE BIPARTITE GRAPHS

  MOTOKO KATO, SHIN-ICHI OGUNI

  Glasgow Mathematical Journal ( Cambridge University Press (CUP) )  64 ( 1 ) 51 - 64   2022.01 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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  <title>Abstract</title>It is conjectured that the central quotient of any irreducible Artin–Tits group is either virtually cyclic or acylindrically hyperbolic. We prove this conjecture for Artin–Tits groups that are known to be CAT(0) groups by a result of Brady and McCammond, that is, Artin–Tits groups associated with graphs having no 3-cycles and Artin–Tits groups of almost large type associated with graphs admitting appropriate directions. In particular, the latter family contains Artin–Tits groups of large type associated with cones over square-free bipartite graphs.

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• On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points

  Motoko Kato

  Journal of Group Theory     2019.06 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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• Embeddings of right-angled Artin groups into higher-dimensional Thompson groups

  Kato Motoko

  Journal of Algebra and Its Applications   17 ( 8 ) 1850159   2018 [ Peer Review Accepted ]

  Type of publication: Research paper (other science council materials etc.)

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• Acylindrical hyperbolicity for some Artin groups (Women in Mathematics)

  Motoko Kato, Shin-ichi Oguni

  数理解析研究所講究録 ( 京都大学数理解析研究所 )  ( 2248 ) 101 - 102   2023.04

   

• On some demonstrative embeddings into higher dimensional Thompson groups (離散群と双曲空間のトポロジーと解析)

  Kato Motoko

  数理解析研究所講究録 ( 京都大学数理解析研究所 )  ( 2062 ) 88 - 93   2018.04

   

• HIGHER DIMENSIONAL THOMPSON GROUPS HAVE SERRE'S PROPERTY FA (Topology, Geometry and Algebra of low-dimensional manifolds : RIMS合宿型セミナー報告集)

  KATO MOTOKO

  数理解析研究所講究録 ( 京都大学数理解析研究所 )  ( 1991 ) 82 - 87   2016.04

   

Presentations 【 display / non-display 】

Presentations 【 display / non-display 】

• Acylindrical hyperbolicity of some Artin groups

  加藤本子

  One-day Workshop: Artin groups and related topics  2025.05  -  2025.05 

• On certain generalizations of Thompson's group T

  加藤本子

  Silver Workshop : Complex geometry and related topics VII  2025.03  -  2025.03 

• Acylindrical hyperbolicity of Artin groups associated with defining graphs that are not cliques

  Shin-ichi Oguni, Motoko Kato

  2024.09  -  2024.09 

• Thompsons groups and ring groups of homeomorphisms of the circle

  加藤本子

  New Trends of conformal theory from probability to gravity, Okinawa Institute of Science and Technology  2023.08  -  2023.08 

• Richard Thompson's groups and its applications

  Motoko Kato

  2022.12  -  2022.12 

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Academic Awards 【 display / non-display 】

• 研究科長賞

  2015.03   Graduate School of Mathematical Sciences, the University of Tokyo  

Grant-in-Aid for Scientific Research 【 display / non-display 】

Grant-in-Aid for Scientific Research 【 display / non-display 】

• Grant-in-Aid for Research Activity start-up

  Project Year: 2019.08  -  2023.03 

  Direct: 1,900,000 (YEN)  Overheads: 2,470,000 (YEN)  Total: 570,000 (YEN)

• Grant-in-Aid for Research Activity start-up

  Project Year: 2019.08  -  2023.03 

  Direct: 1,900,000 (YEN)  Overheads: 2,470,000 (YEN)  Total: 570,000 (YEN)

• Grant-in-Aid for JSPS Fellows

  Project Year: 2017.04  -  2018.03 

Social Activity 【 display / non-display 】

Social Activity 【 display / non-display 】

• 2025.07

  　

  　

• 2024.12

  　

  　

• 2023.03

  　

  　

• 2023.03

  　

  　

• 2023.02

  　

  　

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Media Coverage 【 display / non-display 】

Media Coverage 【 display / non-display 】

• 数学と芸術に共通点 那覇 県出身数学者と画家対談  Newspaper, magazine

  沖縄タイムス  2022.12

  Author： Other 

Academic Activities 【 display / non-display 】

Academic Activities 【 display / non-display 】

• 2025.11

  　

  　

  種別： Academic society, research group, etc. 

• 2024.10

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  2024.11

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• 2021.3

  　

  　

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• 2019.3

  　

  　

  種別： Academic society, research group, etc.