Curriculum Vitaes
Profile Information
- Affiliation
- Professor, Faculty of Science and Technology, Seikei University
- Degree
- 修士（理学）(Mar, 2001, 東京都立大学)博士（理学）(Mar, 2004, 東京都立大学)
- Researcher number
- 30385489
- J-GLOBAL ID
- 200901077777222318
- researchmap Member ID
- 5000082231
Research Interests
3Research Areas
3Awards
1Papers
17-
Transformation Groups, Feb 10, 2026 Peer-reviewed
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Advances in Mathematics, 482 110569-110569, Dec, 2025 Peer-reviewed
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International Mathematics Research Notices, 2023(21) 18001-18034, Oct 12, 2022 Peer-reviewedAbstract We give the sharp lower bound of the volume product of $n$-dimensional convex bodies that are invariant under the discrete subgroups $SO(K)=\{ g \in SO(n); g(K)=K \}$, where $K$ is an $n$-cube or $n$-simplex. This provides new partial results of Mahler’s conjecture and its nonsymmetric version. In addition, we give partial answers for Viterbo’s isoperimetric-type conjecture in symplectic geometry from the view point of Mahler’s conjecture.
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Discrete and Computational Geometry, 68(3) 738-773, Oct, 2022 Peer-reviewed
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Duke Mathematical Journal, 169(6) 1077-1134, Apr 15, 2020 Peer-reviewed
Misc.
4-
RIMS Kokyuroku, 1403 10-17, Nov, 2004
Presentations
15-
DGA2025--Differential Geometry and its Applications, Sep 9, 2025
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Energies of Knots, Residues of Manifolds and Related Topics, Mar 19, 2023, Shigehiro Sakata (Fukuoka University) Invited
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第18回代数・解析・幾何学セミナー, Feb 21, 2023, 竹内潔(東北大学)、與倉昭治(鹿児島大学)、松村慎一(東北大学)、村上雅亮(鹿児島大学) Invited
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第67回幾何学シンポジウム, Sep 2, 2020, 日本数学会幾何学分科会 勝田篤教授(九州大学)ほか Invited
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East Asia Symplectic Conference 2019 (台湾, Penghu),, Sep 26, 2019, Manabu Akaho (Tokyo Metropolitan University), et. al. Invited
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DGA2019--Differential Geometry and its Applications, Sep 3, 2019, Session organizer: Monika Ludwig (TU Wien; Austria)
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Variational problems in Geometry and Mathematical Physics, UK-Japan Winter School, Jan 8, 2019, Martin Guest (Waseda University), Gerasim Kokarev (University of Leeds),,Reiko Miyaoka (Tohoku University), John C. Wood (University of Leeds) Invited
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HAYAMA Symposium on Complex Analysis in Several Variables XX＆,Pacific Rim Complex-Symplectic Geometry Conference, Jul 13, 2018, Xiuxiong Chen (SUNY-Stony Brook), Kengo Hirachi (University of Tokyo), Jun-Muk Hwang (KIAS), Yong-Geun Oh (IBS-CGP), Kaoru Ono (RIMS, Kyoto University) Invited
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Singularities Symmetries ＆ Submanifolds, the 18th UK-Japan Winter School in Mathematics, Jan 4, 2017 Invited
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日本数学会2016年度年会, Mar 16, 2016, 日本数学会等径超曲面のGauss像は複素2次超曲面というHermite対称空間のLagrange部分多様体になるが、それらがいくつかの例を除いてHamiltonian non-displaceabilityであることを示した共同研究の成果について報告した。
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Joint NCTS Differential Geometry and NCKU-RCTS symplectic geometry seminar, Sep 25, 2015, National Center for Theoretical Sciences Mathematics Division InvitedAll principal orbits of the standard Hamiltonian T^n-action on the complex projective space are Lagrangian tori. In this talk, we show that most of them are not volume minimizing under Hamiltonian isotopies if the dimension is greater than two, although they are Hamiltonian minimal and Hamiltonian stable.
Professional Memberships
1-
Apr, 2001
Research Projects
14-
Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2025 - Mar, 2030
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2024
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科学研究費助成事業（学術研究助成基金助成金）, 日本学術振興会, Apr, 2020 - Mar, 2024
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科学研究費助成事業（学術研究助成基金助成金）, 日本学術振興会, Apr, 2016 - Mar, 2020
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2018
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