Fujita Ryo

フジタリョウ | Fujita Ryo

Affiliation and department：

Research field (1)： Algebra

Research keywords (2)： Quantum Group , Representation Theory

Research theme for competitive and other funds (3)：

2023 - 2026 Study on the representations of affine quantum groups using quivers with potentials
2021 - 2026 Representation theory of vertex algebras for the 21st century
2018 - 2020 Study of the category of modules over the quantum affine algebras

Papers (9)：

Ryo Fujita, Kota Murakami. Deformed Cartan matrices and generalized preprojective algebras II: general type. Mathematische Zeitschrift. 2023
Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya. Isomorphisms among quantum Grothendieck rings and propagation of positivity. Journal für die reine und angewandte Mathematik (Crelles Journal). 2022. 2022. 785. 117-185
Ryo Fujita, Kota Murakami. Deformed Cartan Matrices and Generalized Preprojective Algebras I: Finite Type. International Mathematics Research Notices. 2022
Ryo Fujita. Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types. Representation Theory of the American Mathematical Society. 2022. 26. 8. 211-263
Ryo Fujita. Graded quiver varieties and singularities of normalized R-matrices for fundamental modules. Selecta Mathematica. 2022. 28. 1

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MISC (2)：

Ryo Fujita, David Hernandez. Monoidal Jantzen filtrations. 2024
Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya. Isomorphisms among quantum Grothendieck rings and cluster algebras. 2023

Lectures and oral presentations (69)：

Isomorphisms among quantum Grothendieck rings and their cluster theoretical interpretation
(Mathematical Physics Seminar @Purdue (online) 2024)
Quantum affine algebras, graded quiver varieties, and generalized Schur-Weyl duality (3 talks)
(Physical Mathematics and Beyond --The first Workshop-- (@KIAS, Seoul) 2024)
Quantum Grothendieck rings and their quantum cluster algebra structures
(Tokyo Nagoya Algebra Seminar (online) 2024)
Quantum loop algebras and quantum Grothendieck rings
(Mathematics Seminar at NISER, Bhubaneswar 2023)
Isomorphisms among quantum Grothendieck rings and their cluster theoretical interpretation
(Algebraic and Combinatorial Methods in Representation Theory 2023)

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Education (3)：

Professional career (1)：

Work history (6)：

2021/04 - 現在 Kyoto University Research Institute for Mathematical Sciences Assistant professor
2020/10 - 2022/09 Université de Paris IMJ-PRG Post-doctoral researcher (JSPS overseas research fellow)
2020/08 - 2020/10 The University of Tokyo Kavli IPMU Project Researcher
2020/04 - 2020/08 Kyoto University Graduate School of Science Division of Mathematics Research Associate
2019/04 - 2020/03 Kyoto University Graduate School of Science Division of Mathematics JSPS Research Fellow (PD)

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Association Membership(s) (1)：

The Mathematical Society of Japan

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