Rchr
J-GLOBAL ID：201801017075693204
Update date: Sep. 14, 2024
Fujita Naoki
フジタ ナオキ | Fujita Naoki
Affiliation and department：
Job title：
Associate Professor
Homepage URL (1)：
https://nfujita-math.github.io/
Research field (2)：
Algebra
, Geometry
Research keywords (8)：
Flag Variety
, Schubert Calculus
, Hessenberg Variety
, Cluster Algebra
, Newton-Okounkov Body
, Crystal Basis
, Algebraic Geometry
, Representation Theory
Research theme for competitive and other funds (4)：
- 2024 - 2028 Studies on Schubert calculus from Newton-Okounkov bodies
- 2020 - 2024 Studies on toric degenerations of flag varieties from cluster structures
- 2019 - 2022 Studies on projective varieties from Newton-Okounkov bodies
- 2016 - 2019 Studies on Newton-Okounkov bodies from crystal bases
Papers (14)：
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Naoki Fujita, Yuta Nishiyama. Combinatorics of semi-toric degenerations of Schubert varieties in type C. Math. Z. 2024. 307. article number 69
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Yunhyung Cho, Naoki Fujita, Akihiro Higashitani, Eunjeong Lee. Newton-Okounkov polytopes of type A flag varieties of small ranks arising from cluster structures. to appear in Proc. Steklov Inst. Math., arXiv:2310.06477. 2024
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Hiraku Abe, Naoki Fujita, Haozhi Zeng. Fano and weak Fano Hessenberg varieties. Michigan Math. J. 2023. 73. 511-555
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Naoki Fujita. Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes. Trans. Amer. Math. Soc. Series B. 2023. 10. 452-481
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Naoki Fujita. Schubert calculus from polyhedral parametrizations of Demazure crystals. Adv. Math. 2022. 397 (Paper No. 108201)
ｍore...
MISC (20)：
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藤田 直樹. 歪 mitosis 作用素の組合せ論. RIMS 講究録「変換群の幾何とトポロジー」. 2024. 2276. 85-93
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藤田 直樹. C 型ストリング多面体の組合せ論. Algebraic Lie Theory and Representation Theory 2023 報告集. 2024. 184-192
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Yunhyung Cho, Naoki Fujita, Eunjeong Lee. On combinatorics of string polytopes in types B and C. preprint 2023, arXiv:2306.11242. 2023
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藤田 直樹. シューベルト・カルキュラスと凸多面体. 日本数学会2023年度年会・代数学分科会・特別講演アブストラクト. 2023. 27-40
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Naoki Fujita. Semi-toric degenerations of Richardson varieties arising from cluster structures on flag varieties. preprint 2021, arXiv:2110.12731. 2021
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Lectures and oral presentations (58)：
-
Schubert calculus on Newton-Okounkov polytopes and semi-toric degenerations
(Combinatorial Representation Theory and Geometry - In Honor of Satoshi Naito's 60th Birthday - (Tokyo Institute of Technology, Tokyo) 2024)
-
Combinatorics of string polytopes in type C
(Hiroshima-Okayama Algebra Seminar (Hiroshima University) 2024)
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Toric and semi-toric degenerations arising from cluster algebras
(Workshop on Torus Actions in Symplectic and Algebraic Geometry (IBS Science Culture Center, Daejeon, Korea) 2024)
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Schubert calculus and crystal bases
(The 49th Symposium on Transformation Groups (Nagasaki) 2023)
-
Toric degenerations and Newton-Okounkov bodies arising from cluster algebras (lecture series)
(Summer School on Cluster Algebras 2023 (online) 2023)
ｍore...
Education (3)：
- 2016 - 2018 Tokyo Institute of Technology Graduate School of Science Doctoral course, Department of Mathematics
- 2014 - 2016 Tokyo Institute of Technology Graduate School of Science Master's course, Department of Mathematics
- 2010 - 2014 Tokyo Institute of Technology School of Science Department of Mathematics
Professional career (1)：
- Doctor of Science (Tokyo Institute of Technology)
Work history (4)：
- 2021/12 - 現在 Kumamoto University Faculty of Advanced Science and Technology Associate Professor
- 2019/04 - 2021/11 The University of Tokyo JSPS Research Fellow PD
- 2018/04 - 2019/03 Tokyo Institute of Technology JSPS Research Fellow PD (changed from DC1)
- 2016/04 - 2018/03 Tokyo Institute of Technology JSPS Research Fellow DC1
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
