Natsuya Takahashi's Homepage
Natsuya Takahashi's Homepage
Contact Information
Name : Natsuya Takahashi (高橋 夏野)
Affiliation : Nihon University (Department of Mathematics, College of Science and Technology)
Position : Research Assistant
Adress :1-8-14, Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8308, Japan
E-mail : takahashi.natsuya@nihon-u.ac.jp
Keywords : 4-manifold, trisection, exotic smooth structure, cork
Education
2022--2025 : Ph.D. in Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, The University of Osaka, Japan
2020--2022 : M.Sc. in Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, The University of Osaka, Japan
2016--2020 : B.Sc. in Department of Mathematics, Faculty of Science, Hiroshima University, Japan
Papers
Natsuya Takahashi, Distinguishing diffeomorphism types of relative trisections, arXiv:2602.14151. (preprint)
Natsuya Takahashi, Exotic 4-manifolds with small trisection genus, Topology and its Applications, 368 (2025), Paper No. 109382.
Natsuya Takahashi, Minimal genus relative trisections of corks, Geometriae Dedicata 219 (2025), no. 2, Paper No. 29.
Natsuya Takahashi, Non-diffeomorphic minimal genus relative trisections of the same 4-manifold, Journal of Knot Theory and its Ramifications 33 (2024), no. 6, Paper No. 2450016, 11 pp.
Talks (international)
Natsuya Takahashi, An operation for distinguishing diffeomorphism types of relative trisections, The 21st East Asian Conference on Geometric Topology, Ewha Womans University (Korea), February 2, 2026.
Natsuya Takahashi, Exotic compact 4-manifolds with small trisection genus, Trisectors Workshop 2024, Lightning talk, University of Nebraska-Lincoln (America), June 26, 2024.
Natsuya Takahashi, Relative trisections for corks and exotic 4-manifolds, Differential Topology '24, University of Tsukuba (Japan), March 24, 2024.
Natsuya Takahashi, Exotic 4-manifolds with small trisection genus, The 19th East Asian Conference on Geometric Topology, Kyoto University (Japan), February 21, 2024.
Natsuya Takahashi, Trisection genus of corks, The 18th East Asian Conference on Geometric Topology, Soochow University (China), February 8, 2023. (Online)