Yosuke Kubota

Profile Information

Affiliation: Graduate School of Science Division of Mathematics, Kyoto University
: Visiting Scientist, iTHEMS, RIKEN

Degree: Ph.D in Mathematical Science(Mar, 2017, The University of Tokyo)

Researcher number: 30804075
ORCID iD: https://orcid.org/0000-0002-6312-9077
J-GLOBAL ID: 201801003533784418
researchmap Member ID: B000342349

Research Interests

Research Areas

Major Papers

Tensor category equivariant KK-theory

Yuki Arano, Kan Kitamura, Yosuke Kubota

Advances in Mathematics, 453 109848-109848, Sep, 2024 Peer-reviewed
Codimension 2 transfer of higher index invariants

Yosuke Kubota

Mathematische Annalen, 388(3) 2931-2989, Mar 6, 2023 Peer-reviewed
Band Width and the Rosenberg Index

Yosuke Kubota

International Mathematics Research Notices, 2023(11) 9844-9860, May 23, 2022
The Index Theorem of Lattice Wilson–Dirac Operators via Higher Index Theory

Yosuke Kubota

Annales Henri Poincaré, 23(4) 1297-1319, Feb 12, 2022 Peer-reviewed
The bulk–dislocation correspondence for weak topological insulators on screw–dislocated lattices

Yosuke Kubota

Journal of Physics A: Mathematical and Theoretical, 54(36) 364001-364001, Sep 10, 2021 Peer-reviewed
The Gromov–Lawson codimension 2 obstructionto positive scalar curvature and the C*–index

Yosuke Kubota, Thomas Schick

Geometry & Topology, 25(2) 949-960, Apr 27, 2021 Peer-reviewed
Reconstructing the Bost–Connes semigroup actions from K-theory

Yosuke Kubota, Takuya Takeishi

Advances in Mathematics, 366 107070-107070, Jun, 2020 Peer-reviewed
Compact Lie group action with the continuous Rokhlin property

Yuki Arano, Yosuke Kubota

Journal of Functional Analysis, 272(2) 522-545, Jan, 2017 Peer-reviewed
Controlled Topological Phases and Bulk-edge Correspondence

Yosuke Kubota

Communications in Mathematical Physics, 349(2) 493-525, Jan, 2017 Peer-reviewed
Notes on twisted equivariant K-theory for C*-algebras

Yosuke Kubota

International Journal of Mathematics, 27(6), Jun, 2016 Peer-reviewed

Books and Other Publications

物性物理とトポロジー非可換幾何学の視点から

窪田陽介

Apr, 2023 (ISBN: 9784781915715)

Misc.

Groupoid homology and K-theory for algebraic actions from number theory

Chris Bruce, Yosuke Kubota, Takuya Takeishi

preprint, arXiv.2407.01952, Jul, 2024
トポロジカル物質と数理物理～自由フェルミオン，K理論，指数定理～

窪田陽介

数理科学, 731, May, 2024
京都大学ガロア祭／問題と解説

窪田陽介

数学セミナー, 746 46-49, Nov, 2023
数セミメディアガイド「トポロジカル物質とは何か（長谷川修司）」

窪田陽介

数学セミナー, 723 92-92, Dec, 2021

Research History

Apr, 2023 - Present

Associate Professor, Graduate School of Science Division of Mathematics, Kyoto University
Apr, 2020 - Mar, 2023

Lecturer, Department of Mathematics, Faculty of Science, Shinshu University
Apr, 2017 - Mar, 2020

Research Scientist, iTHEMS, RIKEN

Education

Apr, 2014 - Mar, 2017

Graduate School of Mathematical Sciences, The University of Tokyo
Apr, 2012 - Mar, 2014

Master course, Graduate School of Mathematical Sciences, The University of Tokyo
Apr, 2008 - Mar, 2012

Department of Mathematics, Faculty of Science, The University of Tokyo

Awards

Major Presentations

Lifting finite propagation operators and positive scalar curvature

Yosuke Kubota

Geometry Symposium, Sep 2, 2023
An index theorem of lattice Wilson-Dirac operator via higher index theory

Yosuke Kubota

Workshop on Operator Algebras, Deformation Quantization and Related Field Theories, Jul 13, 2023
Lifting finite propagation operayors and positive scalar curvature

Yosuke Kubota

Noncommutative geometry, Index theory and Representation theory, Jul 7, 2023
Lifting finite propagation operators — applications to geometry and physics

Yosuke Kubota

The Second Australia-China-Japan-Singapore-U.S. Index Theory Conference -- Noncommutative Geometry and K-Theory, 2023
The bulk-dislocation correspondence: an operator-algebraic approach

Yosuke Kubota

The 21st International Conference on Discrete Geometric Analysis for Materials Design, Sep 26, 2021
The bulk-dislocation correspondence: an operator-algebraic approach

Topological phases of matter, Jul 28, 2021
Higher index theory in geometry and physics

Yosuke Kubota

MSJ Autumn Meeting 2021 Special Session, Mar 16, 2021
Codimension 2 transfer map in higher index theory

Yosuke Kubota

RIMS workshop "Operator algebras and Quantum dynamical systems", Feb 1, 2021
Crystallogrphic T-duality as the Baum-Connes isomorphism

Yosuke Kubota

Topological surface states, solitons and blanes, and index theorem, Feb 17, 2020
Operator algebra K-theory and topological phases

Yosuke Kubota

CREST tutorial workshop, Jan 26, 2020
Crystallographic T-duality as the Baum-Connes isomorphism

Yosuke Kubota

Materials Research Meetings 2019, Dec 11, 2019
Operator algebra K-theory and topological phases

Yosuke Kubota

Rigorous Statistical Mechanics and Related Topics, Nov 21, 2019
Almost flat vector bundles on manifolds with boundary

Yosuke Kubota

RIMS workshop "Recent Developments in Ooperator Algebras", Sep 4, 2019
Equivalence of definitions of the relative higher index map

Yosuke Kubota

AMS special session "coarse geometry, index theory, and operator algebras: around the mathematics of John Roe", Mar 23, 2019
Reconstructing the Bost-Connes semigroup actions from K-theory III

Yosuke Kubota

Workshop on Operator theory and operator algebras 2018, Dec 16, 2018
Reconstructing the Bost-Connes semigroup actions from K-theory

Yosuke Kubota

Workshop on Noncommutative Geometry and Representation Theory, May 14, 2018
The bulk-edge correspondence for topological phases via coarse geometry

Yosuke Kubota

RIMS workshop: Mathematical research of topological phases, Jan 25, 2018
Twisted equivariant K-theory for C*-algebras

Yosuke Kubota

RIMS workshop: Mathematical research of topological phases, Jan 24, 2018
A mathematical formulation of topological phases via coarse geometry

Yosuke Kubota

11th Joint Research Meeting of MEXT National Projects on Condensed-Matter Science, Nov 16, 2017
Dualizing the relative higher index and almost flat bundles

Yosuke Kubota

Boston University/Keio University Workshop 2017, Jun 29, 2017
An Operator algebraic approach to topological phases I,II

Yosuke Kubota

2017 Symposium on Spectral and Scattering Theories in Matsumoto, Jan 7, 2017
Classification of topological phases via coarse topology

Yosuke Kubota

IGA/AMSI Workshop: Topological Matter, Strings, K-theory and related areas, Sep 26, 2016
Compact Lie group actions on C*-algebras with the continuous Rokhlin property

Yosuke Kubota

RIMS workshop: Recent development in Operator algebras, Sep 12, 2016
Twisted equivariant K-theory and topological phases

Yosuke Kubota

Spectral theory of novel materials, Apr 19, 2016
Controlled topological phases and bulk-edge correspondence I, II

Yosuke Kubota

Mathematical Approach to Topological Phases in Spintronics, Oct 5, 2015
Topological phases via coarse geometry

Yosuke Kubota

Group actions and metric embeddings, Sep 10, 2015
The Atiyah-Segal completion theorem in KK-theory: a categorical approach

Yosuke Kubota

The Second China-Japan Conference on Noncommutative Geometry and K-Theory, Oct 4, 2014
The joint spectral flow and localization of the indices of elliptic operators

Yosuke Kubota

Topology symposium, Jul 27, 2014

Professional Memberships

2015 - Present

The Mathematical Society of Japan

Research Projects

Algebraic topology of quantum spin systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2027
Applications of index theory to geometry and physics

Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists, Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2022
スペクトル流の一般化と指数定理

科学研究費助成事業特別研究員奨励費, 特別研究員奨励費, 日本学術振興会, Apr, 2014 - Mar, 2017

窪田陽介

Profile Information

Research Interests

Research Areas

Major Papers

Books and Other Publications

Misc.

Research History

Education

Awards

Major Presentations

Professional Memberships

Research Projects

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