Rchr
J-GLOBAL ID：201801017075693204
Update date: Jun. 01, 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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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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Naoki Fujita, Yuta Nishiyama. Combinatorics of semi-toric degenerations of Schubert varieties in type C. to appear in Math. Z., arXiv:2306.14485. 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
ｍore...
Lectures and oral presentations (57)：
-
Combinatorics of string polytopes in type C
(Hiroshima-Okayama Algebra Seminar (Hiroshima University) 2024)
-
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)
-
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)
-
Introduction to canonical bases and crystal bases (lecture series)
(Topology and Geometry of Torus actions and related Combinatorics (TGTC) Summer Seminar 2023 in Osaka (Osaka Metropolitan University) 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
