Hayashi Shin 林晋

Researcher Number	70807833
Other IDs
Affiliation (Current)	2025: 青山学院大学, 理工学部, 助教
Affiliation (based on the past Project Information) *help	2023: 青山学院大学, 理工学部, 助教 2021 – 2022: 東北大学, 材料科学高等研究所, 助教 2019 – 2020: 国立研究開発法人産業技術総合研究所, 材料・化学領域, 産総研特別研究員
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related
Keywords	Principal Investigator 高次トポロジカル絶縁体 / 四半面テープリッツ作用素 / K理論 / 指数理論 / 角状態 / 指数定理 / トポロジカル絶縁体 / 高次トポロジカル相 / テープリッツ作用素 / トポロジカル角状態 / バルク・コーナー対応

Research Projects
(2 results)
Research Products
(28 results)

Mathematical study of topologies for higher-order topological insulatorsPrincipal Investigator
- Principal Investigator
  
  林晋
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Aoyama Gakuin University
Geometric study of some higher-order topological invariants related to cornersPrincipal Investigator
- Principal Investigator
  
  Hayashi Shin
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tohoku University
  National Institute of Advanced Industrial Science and Technology

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] An Index Theorem for Quarter-Plane Toeplitz Operators via Extended Symbols and Gapped Invariants Related to Corner States2022
- Author(s)
  Hayashi Shin
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: - Issue: 1 Pages: 429-462
- DOI
  10.1007/s00220-022-04600-w
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14545
[Journal Article] Gapless States Localized along a Staircase Edge in Second-Order Topological Insulators2021
- Author(s)
  Nagasato Yuki、Takane Yositake、Yoshimura Yukinori、Hayashi Shin、Nakanishi Takeshi
- Journal Title
  
  Journal of the Physical Society of Japan
  
  Volume: 90 Issue: 10 Pages: 104703-104703
- DOI
  10.7566/jpsj.90.104703
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-21K03405, KAKENHI-PROJECT-19K14545
[Journal Article] Classification of topological invariants related to corner states2021
- Author(s)
  Hayashi Shin
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 111 Issue: 5 Pages: 1-54
- DOI
  10.1007/s11005-021-01460-8
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-19K14545
[Journal Article] Second-order topological phases protected by chiral symmetry2019
- Author(s)
  Okugawa Ryo、Hayashi Shin、Nakanishi Takeshi
- Journal Title
  
  Physical Review B
  
  Volume: 100 Issue: 23 Pages: 205302-205302
- DOI
  10.1103/physrevb.100.235302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14545, KAKENHI-PROJECT-16K05412, KAKENHI-PLANNED-17H06461, KAKENHI-ORGANIZER-17H06460
[Journal Article] Toeplitz operators on concave corners and topologically protected corner states2019
- Author(s)
  Hayashi Shin
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 109 Issue: 10 Pages: 2223-2254
- DOI
  10.1007/s11005-019-01184-w
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14545, KAKENHI-PLANNED-17H06461
[Presentation] Index theory for quarter-plane Toeplitz operators via extended symbols2024
- Author(s)
  林晋
- Organizer
  幾何学セミナー, 大阪大学
- Data Source
  KAKENHI-PROJECT-23K12966
[Presentation] An index theoretic approach to topological corner states2023
- Author(s)
  Shin Hayashi
- Organizer
  Emerging Platforms for Quantum Computing
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12966
[Presentation] 指数理論とトポロジカル角状態2023
- Author(s)
  林晋
- Organizer
  CREST/さきがけ「トポロジー」領域連携公開シンポジウムトポロジカルデバイスの現在と未来
- Data Source
  KAKENHI-PROJECT-23K12966
[Presentation] 四半面Toeplitz作用素の指数理論とその応用2023
- Author(s)
  林晋
- Organizer
  青山数理セミナー, 青山学院大学
- Data Source
  KAKENHI-PROJECT-23K12966
[Presentation] Index theory for quarter-plane Toeplitz operators and topological corner states2023
- Author(s)
  Shin Hayashi
- Organizer
  Japan-Netherlands Joint Seminar: Index Theory and Operator Algebras in Topological Physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] An index formula for quarter-plane Toeplitz operators via extended symbols2023
- Author(s)
  林晋
- Organizer
  トポロジー火曜セミナー, 東京大学
- Data Source
  KAKENHI-PROJECT-23K12966
[Presentation] An index theorem for quarter-plane Toeplitz operators via extended symbols2022
- Author(s)
  林晋
- Organizer
  日本数学会２０２２年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] トポロジカルな角状態への指数理論的アプローチ2022
- Author(s)
  林晋
- Organizer
  応用数理学会２０２２年度年会
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological invariants related to corner states via index theory and matrix factorizations2022
- Author(s)
  Shin Hayashi
- Organizer
  CREST Research Seminar on Theoretical studies of topological phases of matter
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Index theory for quarter-plane Toeplitz operators and topological corner states2022
- Author(s)
  Shin Hayashi
- Organizer
  東北大学材料科学高等研究所, 数学連携グループセミナー
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] On a topological invariant related to corner states via index theory and matrix factorizations2022
- Author(s)
  Shin Hayashi
- Organizer
  Variety and universality of bulk-edge correspondence in topological phases: From solid-state physics to transdisciplinary concepts
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological invariants and corner states for Hamiltonians on a lattice2021
- Author(s)
  Shin Hayashi
- Organizer
  第27回大阪市立大学国際学術シンポジウム可視化の数理と対称性およびモジュライの深化
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Classification of topological invariants related to corner states2021
- Author(s)
  Shin Hayashi
- Organizer
  日本数学会２０２１年度会
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] A mathematical approach to higher-order topological insulators2020
- Author(s)
  林晋
- Organizer
  トポロジカル表面状態、ソリトンとブレーン、指数定理
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Toeplitz作用素の指数理論と(高次)トポロジカル絶縁体のトポロジーについて2020
- Author(s)
  林晋
- Organizer
  神戸幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological invariants and corner states for Hamiltonians on a lattice2019
- Author(s)
  林晋
- Organizer
  第６６回トポロジーシンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological invariants and corner states2019
- Author(s)
  Shin HAYASHI
- Organizer
  Topological phases of interacting quantum systems
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] ある種の角に対するテープリッツ作用素の指数理論とその応用2019
- Author(s)
  林晋
- Organizer
  第６６回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] (高次)トポロジカル絶縁体におけるトポロジーについて2019
- Author(s)
  林晋
- Organizer
  関西ゲージ理論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological K-theory and the bulk-edge correspondence2019
- Author(s)
  林晋
- Organizer
  Young mathematicians workshop on algebraic, geometric, and analytic aspects of K-theory and vector bundles
- Invited
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological invariants and corner states for Hamiltonians on a lattice2019
- Author(s)
  林晋
- Organizer
  新学術領域「次世代物質探索のための離散幾何学」研究成果発表会
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological invariants and corner states for Hamiltonians on a lattice2019
- Author(s)
  林晋
- Organizer
  第13回物性科学領域横断研究会
- Data Source
  KAKENHI-PROJECT-19K14545
[Presentation] Topological invariants and corner states for Hamiltonians on a lattice2019
- Author(s)
  林晋
- Organizer
  首都大学東京・幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14545

Hayashi Shin 林 晋

Research Projects

Research Products

Mathematical study of topologies for higher-order topological insulatorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometric study of some higher-order topological invariants related to cornersPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] An Index Theorem for Quarter-Plane Toeplitz Operators via Extended Symbols and Gapped Invariants Related to Corner States2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Gapless States Localized along a Staircase Edge in Second-Order Topological Insulators2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Classification of topological invariants related to corner states2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Second-order topological phases protected by chiral symmetry2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Toeplitz operators on concave corners and topologically protected corner states2019

Author(s)

Journal Title

DOI

Data Source

[Presentation] Index theory for quarter-plane Toeplitz operators via extended symbols2024

Author(s)

Organizer

Data Source

[Presentation] An index theoretic approach to topological corner states2023

Author(s)

Organizer

Data Source

[Presentation] 指数理論とトポロジカル角状態2023

Author(s)

Organizer

Data Source

[Presentation] 四半面Toeplitz作用素の指数理論とその応用2023

Author(s)

Organizer

Data Source

[Presentation] Index theory for quarter-plane Toeplitz operators and topological corner states2023

Author(s)

Organizer

Data Source

[Presentation] An index formula for quarter-plane Toeplitz operators via extended symbols2023

Author(s)

Organizer

Data Source

[Presentation] An index theorem for quarter-plane Toeplitz operators via extended symbols2022

Author(s)

Organizer

Data Source

[Presentation] トポロジカルな角状態への指数理論的アプローチ2022

Author(s)

Organizer

Data Source

[Presentation] Topological invariants related to corner states via index theory and matrix factorizations2022

Author(s)

Organizer

Data Source

[Presentation] Index theory for quarter-plane Toeplitz operators and topological corner states2022

Author(s)

Organizer

Data Source

Hayashi Shin 林晋