金久保有輝

カナクボユウキ | Kanakubo Yuki

所属機関・部署：
職名：助教
ホームページURL (1件)： https://sites.google.com/view/yuki-kanakubo/home

研究分野 (1件)：代数学

研究キーワード (2件)：クラスター代数 , 量子群の表現論

競争的資金等の研究課題 (3件)：

論文 (14件)：

Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima. An Algorithm for Berenstein-Kazhdan Decoration Functions and Trails for Classical Lie Algebras. International Mathematics Research Notices. 2024. 2024. 4. 3223-3277
Yuki Kanakubo. Polyhedral Realizations for $B(\infty )$ and Extended Young Diagrams, Young Walls of Type $\mathrm {A}^{(1)}_{n-1}$, $\mathrm {C}^{(1)}_{n-1}$, $\mathrm {A}^{(2)}_{2n-2}$, $\mathrm {D}^{(2)}_{n}. Algebras and Representation Theory. 2023. 26. 5. 2181-2233
金久保有輝. Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type $\mathrm {A}^{(1)}_{n-1}$, $\mathrm {C}^{(1)}_{n-1}$, $\mathrm {A}^{(2)}_{2n-2}$, $\mathrm {D}^{(2)}_{n}. Letters in Mathematical Physics. 2023. 113. 60. 1-50
YUKI KANAKUBO, TOSHIKI NAKASHIMA. HALF POTENTIAL ON GEOMETRIC CRYSTALS AND CONNECTEDNESS OF CELLULAR CRYSTALS. Transformation Groups. 2023. 28. 1. 327-373
Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima. An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations. Journal of Algebra. 2022. 608. 106-142

MISC (3件)：

金久保有輝, 中島俊樹. Explicit forms of polyhedral realizations of crystal bases associated with adapted sequences. Toyama Mathematical Journal. 2021. 42. 1-28
Kanakubo Yuki. Finite type cluster algebras and Demazure crystals (リー型の組合せ論). 数理解析研究所講究録. 2017. 2039. 126-138
金久保有輝. Cluster Variables on Double Bruhat Cells and Monomial Realizations of Crystal Bases (表現論と調和解析の新たな進展 : RIMS研究集会報告集). 数理解析研究所講究録. 2014. 1925. 47-55

講演・口頭発表等 (30件)：

Inequalities defining polyhedral realizations and monomial realizations of crystal bases
(Combinatorics and Arithmetic for Physics : special days 2024)
Polyhedral realizations and Young walls of classical affine types
("Crystal Bases and Then..." - Conference in honor of Toshiki Nakashima's 60th birthday - 2024)
An algorithm for Berenstein-Kazhdan decoration functions on classical groups
(Cologne Algebra and Representation Theory Seminar 2023)
Polyhedral realizations for crystal bases and extended Young diagrams of affine type A^{(1)}_{n-1}
(MPI-Oberseminar 2023)
Inequalities defining polyhedral realizations of affine types and extended Young diagrams
(Combinatorics and Arithmetic for Physics: special days, Tenth Anniversary Edition 2023)

学位 (2件)：

経歴 (5件)：

2024/04 - 現在茨城大学基礎自然科学野助教
2023/09 - 2024/03 Max Planck Institute for Mathematics Postdoctoral Research Fellow
2020/09 - 2023/08 筑波大学理工学群非常勤講師
2020/04 - 2023/03 筑波大学日本学術振興会特別研究員 PD
2017/04 - 2020/03 上智大学理工学部特別研究員(PD)

所属学会 (1件)：

日本数学会

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金久保 有輝