Rchr
J-GLOBAL ID：200901080307974063
Update date: Oct. 28, 2024
Kawahigashi Yasuyuki
カワヒガシ ヤスユキ | Kawahigashi Yasuyuki
Affiliation and department：
Job title：
Professor
Other affiliations (2)：
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The University of Tokyo
Institute for the Physics and Mathematics of the Universe
Visiting Senior Scientist
-
RIKEN
Senior Visiting Scientist
Homepage URL (2)：
http://www.ms.u-tokyo.ac.jp/~yasuyuki/
,
http://www.ms.u-tokyo.ac.jp/~yasuyuki/index-e.html
Research field (1)：
Basic analysis
Research keywords (6)：
topological phase of matters
, tensor category
, conformal field theory
, algebraic quantum field theory
, subfactor
, 作用素環
Research theme for competitive and other funds (30)：
- 2019 - 2025 Theoretical studies of topological phases of matter
- 2019 - 2023 Integral development of theory of operator algebras
- 2019 - 2022 Operator algebras and Fukaya categories
- 2015 - 2019 Operator Algebras and their Applications to Mathematical Physics
- 2015 - 2017 Anyon condensation and operator algebars
- 2011 - 2016 A new development of operator algebras and mathematical physics
- 2010 - 2015 A csomprehensive study of symmetries of operator algebras
- 2011 - 2012 Integrated Studies of Operator Algebras
- 2007 - 2010 Synthetic Studies on Operator Algebras and Mathematical Physics
- 2007 - 2009 作用素環とミラーシンメトリー
- 2007 - 2008 作用素環論と力学系の研究
- 2006 - 2008 共形場理論の作用素理論的研究
- 2004 - 2007 作用素環と数理物理学の研究 研究課題
- 2004 - 2006 Operator algebras and mathematical physics
- 2004 - 2006 作用素環とモンスター
- 2005 - 2005 共形場理論,作用素環論とモジュラーなテンソル圏
- 2004 - 2005 作用素環におけるエントロピーの研究
- 2001 - 2004 作用素環論におけるsubfactorの分類とその応用
- 2003 - 2004 自己準同型半群を用いた1次元共形ネットの分類理論
- 2003 - 2003 作用素環論における剛性の研究
- 2001 - 2003 Classification of subfactors in theory of operator algebras and its applications
- 2002 - 2002 国際研究集会「無限自由度量子系の解析学」開催のための企画調査
- 1998 - 2000 Classificaition of subfactors in operator algebra and its applications
- 1996 - 1997 部分因子環の分類とその応用
- 1995 - 1996 作用素環論における分類理論とその応用
- 1994 - 1995 部分因子環と位相的量子場の理論 研究課題
- 1993 - 1994 作用素環論における分類問題の研究とその応用
- Algebraic quantum field theory
- Relation among subfactors, statistical mechanics, and topology
- Classification of subfactors and their automorphism
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Papers (55)：
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Yasuyuki Kawahigashi. Flatness of α-induced bi-unitary connections and commutativity of Frobenius algebras. arXiv. 2024
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Valentin Benedetti, Horacio Casini, Yasuyuki Kawahigashi, Roberto Longo, Javier M. Magan. Modular invariance as completeness. arXiv. 2024
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Yasuyuki Kawahigashi. $\alpha$-induction for bi-unitary connections. Quantum Topology. 2024. 15. 3/4. 503-536
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David E. Evans, Yasuyuki Kawahigashi. Subfactors and Mathematical Physics. Bull. Amer. Math. Soc. 2023. 60. 459-482
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Yasuyuki Kawahigashi. Projector matrix product operators, anyons and higher relative commutants of subfactors. Mathematische Annalen. 2022. 387. 3-4. 2157-2172
ｍore...
MISC (63)：
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小澤登高氏の令和3年度科学技術分野の文部科学大臣表彰科学技術賞受賞に寄せて. 2021. 26. 3. 33-35
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河東泰之. 線形代数の考え方. 数理科学. 2021. 59. 10
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河東泰之. 結び目的思考法のすすめ 作用素環と結び目. 数理科学. 2020. 58. 4
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河東泰之. ヒルベルト ヒルベルト空間と作用素環. 数理科学. 2019. 57. 9
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山下真氏の平成30年度文部科学大臣表彰 若手科学者賞受賞に寄せて. 2018. 23. 3. 36-38
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Books (12)：
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量子場の数理 (数理物理の最前線)
数学書房 2016 ISBN:4903342484
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数学の現在 π
東京大学出版会 2016 ISBN:4130653121
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数学の現在 e
東京大学出版会 2016 ISBN:413065313X
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数学の現在 i
東京大学出版会 2016 ISBN:4130653113
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窮理 第2号
窮理舎 2015 ISBN:4990840925
ｍore...
Lectures and oral presentations (212)：
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Operator algebras, tensor categories and tensor networks
(International Congress on Basic Science 2024)
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Flatness for α-induced bi-unitary connections and locality of Frobenius algebras
(Quantum Topology, Quantum Information, and Connections to Mathematical Physics 2024)
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Quantum symmetries in operator algebras and mathematical physics
(East Asian Core Doctoral Forum on Mathematics 2024)
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Bi-unitary connections, modular tensor categories and alpha-induction
(Subfactors and Fusion (2-)Categories 2023)
-
Two-dimensional topological order and operator algebras
(Topological Quantum Computation 2023)
ｍore...
Education (3)：
- 1985 - 1989 University of California, Los Angeles Department of Mathematics
- 1985 - 1987 the University of Tokyo Faculty of Science Department of Mathematics
- 1981 - 1985 the University of Tokyo Faculty of Science Department of Mathematics
Professional career (2)：
- Ph.D. (University of California, Los Angeles)
- Dr. Sci. (The University of Tokyo)
Work history (8)：
- 2019/05 - 現在 RIKEN Senior Visiting Scientist
- 2011/04 - 現在 the University of Tokyo Kavli IPMU Senior Scientist
- 1999/10 - 現在 the University of Tokyo Department of Mathematical Sciences Professor
- 2011/04 - 2012/03 Kyoto University RIMS Visiting Professor
- 1992/04 - 1999/09 the University of Tokyo Department of Mathematical Sciences Associate Professor
- 1991/08 - 1992/07 University of California, Berkeley Miller Research Fellow
- 1991/04 - 1992/03 the University of Tokyo Department of Mathematics Lecturer
- 1989/06 - 1991/03 the University of Tokyo Department of Mathematics Research Associate
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Committee career (10)：
- 2023/08 - 現在 Taiwanese J., Editor
- 2022/08 - 現在 Mathematics Open, Editor
- 2021/09 - 現在 J. Topol. Anal., Editor
- 2021/06 - 現在 Lett. Math. Phys., Editor
- 2006/04 - 現在 J. Math. Sci., Univ. Tokyo 編集長
- 2005/04 - 現在 Japan. J. Math. 編集委員
- 2005/01 - 現在 J. Math. Phys. 編集委員
- 2004/01 - 現在 Rev. Math. Phys. 編集委員
- 2004/01 - 現在 Internat. J. Math. 編集長
- 2003/04 - 現在 Comm. Math. Phys. 編集委員
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Awards (4)：
- 2019/03 - Mathematical Society of Japan Publication Prize
- 2018/08 - Invited Lecture, ICM 2018
- 2002 - Mathematical Society of Japan Spring Prize Study of Operator Algebras
- 2000 - 作用素環後援会 作用素環賞
Association Membership(s) (3)：
International Association of Mathematical Physics
, アメリカ数学会(American Mathematical Society
, 日本数学会
