Hayashi Shin

ハヤシシン | Hayashi Shin

Affiliation and department：
Job title： Assistant Professor
Homepage URL (1)： http://www.math.aoyama.ac.jp/~hayashi/

Research field (2)： Geometry , Applied mathematics and statistics

Research keywords (3)： index theory , K-Theory , topological insulators

Research theme for competitive and other funds (3)：

2023 - 2028 Mathematical study of topologies for higher-order topological insulators
2019 - 2023 Topological Study of Systems of Various Shape Based on Index Theory
2019 - 2023 Geometric study of some higher-order topological invariants related to corners

Papers (7)：

Shin Hayashi. An Index Theorem for Quarter-Plane Toeplitz Operators via Extended Symbols and Gapped Invariants Related to Corner States. Communications in Mathematical Physics. 2022
Yuki Nagasato, Yositake Takane, Yukinori Yoshimura, Shin Hayashi, Takeshi Nakanishi. Gapless States Localized along a Staircase Edge in Second-Order Topological Insulators. Journal of the Physical Society of Japan. 2021. 90. 10. 104703-104703
Shin Hayashi. Classification of topological invariants related to corner states. Letters in Mathematical Physics. 2021. 111. 5
Ryo Okugawa, Shin Hayashi, Takeshi Nakanishi. Second-order topological phases protected by chiral symmetry. Physical Review B. 2019. 100. 23. 235302
Shin Hayashi. Toeplitz operators on concave corners and topologically protected corner states. Letters in Mathematical Physics. 2019. 109. 10. 2223-2254

ｍore...

MISC (1)：

林晋. On some topological invariants related to localized wave functions (Intelligence of Low-dimensional Topology). 数理解析研究所講究録. 2017. 2052. 82-90

Lectures and oral presentations (56)：

Index theoretic approach to topological corner states
(MflP workshop, Meiji University 2024)
An index formula for quarter-plane Toeplitz operators via extended symbols
(Topology Seminar, Shinshu University 2024)
Index theory for quarter-plane Toeplitz operators via extended symbols
(Geometry Seminar, Osaka University 2024)
Index theory for quarter-plane Toeplitz operators and its applications
(Math Seminar, Aoyama Gakuin University 2023)
An index formula for quarter-plane Toeplitz operators via extended symbols
(Tuesday Seminar on Topology, The University of Tokyo 2023)

ｍore...

Education (3)：

2013 - 2017 the University of Tokyo Graduate School of Mathematical Sciences PhD studies
2011 - 2013 the University of Tokyo Graduate School of Mathematical Sciences Master studies
2007 - 2011 the University of Tokyo School of Science Department of Mathematics

Professional career (2)：

Work history (9)：

2024/04 - 現在 Musashino University part-time teacher
2023/11 - 現在 RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program Visiting Scientist
2023/09 - 現在 Aoyama Gakuin University College of Science and Engineering Department of Physics and Mathematics Assistant Professor
2021/06 - 現在 National Institute of Advanced Industrial Science and Technology Mathematics for Advanced Materials - Open Innovation Laboratory Visiting Researcher
2023/07 - 2023/08 RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program Visiting Scientist

Show all

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page