Updated on 2024/10/14

写真a

 
Mizuno Yuya
 
Organization
Faculty of Liberal Arts, Sciences and Global Education Associate Professor
Graduate School of Science Department of Mathematics
Title
Associate Professor
Affiliation
Institute of Liberal Arts, Sciences and Global Education

Position

  • Faculty of Liberal Arts, Sciences and Global Education 

    Associate Professor  2022.04 - Now

  • Graduate School of Science Department of Mathematics 

    Associate Professor  2022.04 - Now

Degree

  • 博士(理学) ( Nagoya University )

Research Areas

  • Natural Science / Algebra

Research Interests

  • Representation theory of algebras

Research subject summary

  • クイバーの表現論

  • 多元環の表現論

Research Career

  • 多元環の表現論

    Individual

    2011.04 - Now 

Professional Memberships

  • 日本数学会

    2013 - Now   Domestic

Papers

  • Arc diagrams and 2-term simple-minded collections of preprojective algebras of type A Reviewed

    Yuya Mizuno

    Journal of Algebra   595   444 - 478   2022.04( ISSN:0021-8693

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1016/j.jalgebra.2021.12.029

  • Two-term tilting complexes for preprojective algebras of non-Dynkin type Reviewed

    Yuta Kimura, Yuya Mizuno

    Communications in Algebra   50 ( 2 )   556 - 570   2022

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: https://doi.org/10.1080/00927872.2021.1962337

  • Derived Picard groups of preprojective algebras of Dynkin type Reviewed

    Yuya Mizuno

    International Mathematics Research Notices   2021 ( 7 )   5111 - 5154   2021

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • Simplicial complexes and tilting theory for Brauer tree algebras Reviewed

    Hideto Asashiba, Yuya Mizuno, Ken Nakashima

    Journal of Algebra   551 ( 1 )   119 - 153   2020

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • Torsion pairs for quivers and the Weyl groups Reviewed International coauthorship

    Yuya Mizuno, Hugh Thomas

    Selecta Mathematica   26 ( 3 )   1 - 27   2020

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • Discreteness of silting objects and t-structures in triangulated categories Reviewed

    Takahide Adachi, Yuya Mizuno, Dong Yang

    Proceedings of the London Mathematical Society   118 ( 1 )   1 - 42   2019

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • Classifying tilting complexes over preprojective algebras of Dynkin type Reviewed

    Takuma Aihara, Yuya Mizuno

    Algebra and Number Theory   11 ( 6 )   1287 - 1315   2017

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • Higher APR tilting preserves n-representation infiniteness Reviewed

    Yuya Mizuno, Kota Yamaura

    Journal of Algebra   447   56 - 73   2016

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • On mutations of selfinjective quivers with potential Reviewed

    Yuya Mizuno

    Journal of Pure and Applied Algebra   219 ( 5 )   1742 - 1760   2015

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • ν-stable τ-tilting modules Reviewed

    Yuya Mizuno

    Communications in Algebra   43 ( 4 )   1654 - 1667   2015

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • Classifying τ-tilting modules over preprojective algebras of Dynkin type Reviewed

    Yuya Mizuno

    Mathematische Zeitschrift   277 ( 3-4 )   665 - 690   2014

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • A Gabriel-type theorem for cluster tilting Reviewed

    Yuya Mizuno

    Proceedings of the London Mathematical Society   108 ( 4 )   836 - 868   2014

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • APR tilting modules and graded quivers with potential Reviewed

    Yuya Mizuno

    International Mathematics Research Notices   2014 ( 3 )   817 - 841   2014

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

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MISC

  • Dimensions of τ-tilting modules over path algebras and preprojective algebras of Dynkin type

    Toshitaka Aoki, Yuya Mizuno

    arXiv:2402.13527   2024.02

  • Fans and polytopes in tilting theory II: g-fans of rank 2

    Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama, Ryoichi Kase, Yuya Mizuno

    arXiv:2301.01498   2023.01

  • Shard theory for g-fans

    Yuya Mizuno

    arXiv:2212.10745   2022.12

  • Fans and polytopes in tilting theory I: Foundations

    Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama, Ryoichi Kase, Yuya Mizuno

    arXiv:2203.15213   2022.03

Presentations

  • Tilting theory and g-fans Invited

    Yuya Mizuno

    McKay correspondence, Tilting theory and related topics (Tokyo)  2023.12 

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    Presentation type:Oral presentation (invited, special)  

  • Fans, simplicial complexes and polytopes in tilting theory Invited

    The Ninth China-Japan-Korea International Conference on Ring and Module Theory  2023.08 

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    Presentation type:Oral presentation (invited, special)  

  • Two-term silting theory and g-fans Invited

    Yuya Mizuno

    Mutations in Representation Theory of Algebras (Iran, Online)  2023.05 

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    Presentation type:Oral presentation (invited, special)  

  • Fans and polytopes in tilting theory Invited International conference

    Yuya Mizuno

    Advances in Cluster Algebras 2023   2023.03 

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    Presentation type:Oral presentation (invited, special)  

  • Complete g-fans of rank 2 Invited International conference

    Yuya Mizuno

    FD Seminar  2023.01 

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    Presentation type:Oral presentation (invited, special)  

  • 繰り返しに潜む数学 Invited Domestic conference

    水野有哉

    数学・数理科学5研究拠点合同市民講演会  2022.11 

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    Presentation type:Oral presentation (invited, special)  

  • ブラウアー樹木多元環の2項傾複体の数え上げについて Invited Domestic conference

    水野有哉

    神楽坂代数セミナー  2022.09 

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    Presentation type:Oral presentation (invited, special)  

  • Fans and polytopes in tilting theory Invited Domestic conference

    2022.08 

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    Presentation type:Oral presentation (invited, special)  

  • g-simplicial complex and silting theory Invited International conference

    Yuya Mizuno

    Paris algebra seminar   2022.06 

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    Presentation type:Oral presentation (invited, special)  

  • Arc diagrams and 2-term simple-minded collections of preprojective algebras of type A Invited International conference

    Yuya Mizuno

    Infinite Analysis 21  2021.09 

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    Presentation type:Oral presentation (invited, special)  

  • Arc diagrams and 2-term simple-minded collections of preprojective algebras Invited Domestic conference

    水野 有哉

    OCAMI代数セミナー  2021.06 

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    Presentation type:Oral presentation (invited, special)  

  • Representation theory of preprojective algebras and Coxeter groups Invited International conference

    Yuya Mizuno

    Workshop on quiver varieties and representation theory, CRM  2019.08 

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    Presentation type:Oral presentation (invited, special)  

  • Cluster tilting and quadratic form Invited International conference

    Yuya Mizuno

    Algebra seminar (Norwegian University of Science and Technology) 

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Grant-in-Aid for Scientific Research

  • 多元環の表現論と圏化

    Grant-in-Aid for Scientific Research(C)  2024

  • 多元環の表現論と圏化

    Grant-in-Aid for Scientific Research(C)  2023

  • 多元環の表現論と圏化

    Grant-in-Aid for Scientific Research(C)  2022

  • 多元環の表現論と圏化

    Grant-in-Aid for Scientific Research(C)  2021

  • 多元環の表現論と圏化

    Grant-in-Aid for Scientific Research(C)  2020.04

Charge of on-campus class subject

  • 数学特別研究2A

    2024   Intensive lecture   Graduate school

  • 数学特別研究1A

    2024   Intensive lecture   Graduate school

  • 数学特別研究5A

    2024   Intensive lecture   Graduate school

  • 数学特別研究4A

    2024   Intensive lecture   Graduate school

  • 数学特別研究3A

    2024   Intensive lecture   Graduate school

  • 線形代数I

    2024   Weekly class   Graduate school

  • 線形代数1

    2024   Weekly class   Graduate school

  • 線形代数1

    2024   Weekly class   Graduate school

  • 数学リテラシー1

    2024   Weekly class   Graduate school

  • Linear Algebra II

    2021    

  • Linear Algebra I

    2021    

  • Basic Mathematics II

    2021    

  • Basic Mathematics I

    2021    

  • Linear Algebra II

    2021    

  • Calculus I

    2021    

  • Basic Mathematics II

    2020    

  • Basic Mathematics I

    2020    

  • 基礎数学II

    2020    

  • 基礎数学I

    2020    

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