String Theory Group at YMSC

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Takumi Otani

Postdoctoral Fellow, Yau Mathematical Sciences Center, Tsinghua University

Basic Information

Email: takumi (at) tsinghua.edu.cn
Office: Shuangqing Complex Building C657

Research Areas

Bridgeland stability conditions, Frobenius manifolds, and mirror symmetry.

Education

2014-2018, B.S., Hokkaido University of Education, Asahikawa Campus.
2018-2020, M.S., Osaka University.
2020-2023, Ph.D., Osaka University.

Research Summary

Takumi Otani studies stability conditions, exceptional collections, Frobenius manifolds, and mirror symmetry. His recent and representative work on Dynkin and extended Dynkin quivers, orbifold projective lines, Kronecker quivers, and Gamma integral structures for invertible polynomials focuses on how categorical and enumerative data control mirror-symmetric geometry. The larger theme is to understand derived categories not only as algebraic objects, but as spaces whose stability, mutation, and Frobenius structures reflect the geometry expected from mirror symmetry.

Representative Publications

T. Otani, Y. Shiraishi, A. Takahashi, “The number of full exceptional collections modulo spherical twists for extended Dynkin quivers,” arXiv:2308.04031.
T. Otani, “Global dimension of the derived category of an orbifold projective line,” arXiv:2306.16673.
T. Otani, “Full exceptional collections and stability conditions for Dynkin quivers,” arXiv:2210.08479.
T. Otani, A. Takahashi, “Gamma integral structure for an invertible polynomial of chain type,” Adv. Math. 409 (2022) 108681.
A. Ikeda, T. Otani, Y. Shiraishi, A. Takahashi, “A Frobenius manifold for l-Kronecker quiver,” Lett. Math. Phys. 112 (2022) 14.