Hayato Imori's Homepage
Profile
I am currently a Postdoctoral Researcher in KAIST, supervised by JungHwan Park. My research interests are gauge theory and low-dimensional topology.
I received a PhD degree from Kyoto University in March 2024. The advisor during my PhD course is Tsuyoshi Kato.
Contact
Address: Department of Mathematics, KAIST, Daejeon, Republic of Korea.
Email: himori(at)kaist.ac.kr [Please replace (at) with a suitable letter.]
Publications
Preprints
Instantons, special cycles, and knot concordance, (with A. Daemi, K. Sato, C. Scaduto, and M. Taniguchi), preprint arXiv:2209.05400, 2022.
Published Papers
Instanton knot invariants with rational holonomy parameters and an application for torus knot groups, to appear in Algebraic & Geometric Topology.
Proceedings
Rasmussen type invariant from equivariant instanton Floer homology, (with K. Sato and M. Taniguchi), Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku, No 2227, 62-75, 2022.
同変特異インスタントンフレアー理論による結び目不変量, 研究集会「結び目の数理IV」報告集, 207-216, 2022. (in Japanese)
Talks
Invited Talks
Introduction to instanton knot homology, iTHEMS Math Seminar, RIKEN iTHEMS, Wako, July 25, 2022.
Rasmussen type invariant from equivariant instanton Floer homology, Intelligence of Lowdimensional Topology 2022, Kyoto, May 27, 2022.
The Chern-Simons filtration and knot concordance invariants, Workshop on Gauge Theory, Miami, April 22, 2022.
Instanton knot invariants with rational holonomy parameters and an application for torus knot groups, Gauge Theory Virtual, Online, March 17, 2022.
Instantons on closed four-manifolds, Student Colloquium, Kyoto University, Online, February 17, 2022.
Singular instanton homology of torus knots in various holonomy boundary conditions, International Workshop on 4-manifold Theory and Gauge Theory, Online, November 5, 2020.
Other Talks
Instanton Floer homology and SU(2)-representations of fundamental groups, NCTS East Asia Core Doctorial Forum in Mathematics, National Taiwan University, January 9, 2023.
Instantons, special cycles, and knot concordance Ⅲ, Handle friendship seminar, Online, November 14, 2022.
Instanton knot invariants and the concordance group, Online, The 17th East Asian Conference on Geometric Topology, January 19, 2022.
Knot invariants from equivariant singular instanton Floer theory, Musubime no suri IV, Waseda University, December 25, 2021.
Instanton knot invariants with rational holonomy parameters and an application for torus knot groups, Four Dimensional Topology, Online, November 12, 2021.
Representation variety and singular instanton homology of torus knot with various holonomy conditions, Kansai Gauge Theory Seminar, Online, April 13, 2021.
Poster Sessions
Instanton Floer homology and SU(2)-representations of fundamental groups, NCTS East Asia Core Doctorial Forum in Mathematics, National Taiwan University, January 10, 2023.
Gauge theoretic invariants for knots and their applications, Interdisciplinary Exchange Meeting for Young Mathematicians 2021, Online, November 13, 2021.
Funding Information
Fellowships
JSPS Research Fellow DC1, April 2021-March 2024.
Grants
JSPS KAKENHI Grant Number JP 21J20203, April 2021-March 2024.
Links