Rchr
J-GLOBAL ID：200901061232531670
Update date: Jan. 31, 2024
Arai Asao
アライ アサオ | Arai Asao
Affiliation and department：
Research field (1)：
Basic analysis
Research keywords (4)：
quantum field theory
, functional analysis
, mathematical physics
, infinite-dimensional analysis
Research theme for competitive and other funds (29)：
- 2015 - 2018 Mathematical problems in quantum field theory and infinite dimensional analysis
- 2012 - 2015 Mathematical analysis on quantum fields
- 2008 - 2012 Logic of Quantum Fluctuation Described in Terms of Category Theory : Investigation of the Origin of Space-Time
- 2009 - 2011 Mathematical Analysis of Quantum Fields
- 2004 - 2008 Geometry and Analysis of Wave Fields
- 2005 - 2007 Mathematical Problems and Infinite Dimensional Analysis in Quantum Field Theory
- 2004 - 2007 Flows and their symmetries on operator algebras
- 2002 - 2003 Tauberian and Mercerian theorems and analysis of stochastic financial processes
- 2001 - 2003 Mathematical Analysis of a System of a Dirac Particle Interacting With a Quantum Electronagnetid Field
- 2000 - 2002 Systematic study of quantum groups from the viewpoint of operator algebras
- 2000 - 2001 Mercerian and Tauberian theorems with applications
- 1999 - 2000 Mathematical Studies on Systems of Particles Interacting with Quantum Fields
- 1998 - 1999 A study of quantum groups by using the theory of unbounded operator algebras
- 1998 - 1999 Tauberian and Mercerian theorems for Fourier transforms with applications
- 1996 - 1997 Mathematical Problems in Quantum Field Theory and Infinite-Dimensional Analysis
- 1995 - 1996 Quantization
- 1995 - 1995 場の量子論における数学的諸問題と無限次元解析
- 1994 - 1994 場の量子論および統計力学における数学的諸問題と無限次元解析
- 1993 - 1993 場の量子論および統計力学における数学的諸問題と無限次元解析
- 1992 - 1993 Study on non-commutative dynamical systems
- 1992 - 1992 作用素環の部分環の構造と角度
- 1991 - 1992 A study of stationarity and causality based on the theory of KM_2O-Langevin equations
- 1990 - 1990 場の量子論および統計力学における数学的諸問題
- 1988 - 1988 場の量子論および統計力学における数学的諸問題
- 1987 - 1988 GEOMETRY OF MANIFOLDS
- 1987 - 1987 場の量子論における数学的諸問題
- 1986 - 1987 ON THE THEORY OF KMO-LANGEVIN EQUATIONS WITH APPLICATIONS
- 1986 - 1986 場の量子論における数学的諸問題
- 1982 - 1982 場の量子論の数学的基礎
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Papers (125)：
MISC (38)：
Books (44)：
-
場の量子論と統計力学 [増補版]
日本評論社 2023 ISBN:9784535789654
-
Infinite-dimensional Dirac operators and supersymmetric quantum fields : an introduction to analysis on boson-fermion Fock spaces
Springer 2022 ISBN:9789811956775
-
相対性理論の数理
日本評論社 2021 ISBN:9784535789289
-
熱力学の数理
日本評論社 2020 ISBN:9784535789180
-
Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations --- Representation-theoretical Viewpoint for Quantum Phenomena
Springer 2020 ISBN:9789811521799
ｍore...
Education (3)：
- - 1980 The University of Tokyo Graduate School of Science
- - 1979 The University of Tokyo Graduate School of Science
- - 1976 Chiba University Faculty of Science Department of Physics
Professional career (2)：
- Doctor of Science (Gakushuin University)
- M.S. (Univ. of Tokyo, 1979) (The University of Tokyo)
Work history (13)：
- 2017/04 - 現在 Professor Emeritus Hokkaido University
- 2017/04 - 現在 Hokkaido University
- 2017/04 - 2019/03 Hokkaido University Faculty of Science, Department of Mathematics
- 1995/04 - 2017/03 Professor
- 1995 - 2017 - 北海道大学教授(大学院理学研究科数学専攻・大学院理学研究院数学部門)
- 1998 - ミュンヘン工科大学数学センター招聘教授 教授
- 1992 - 1995 北海道大学助教授(理学部数学) 助教授
- 1992 - 1995 Associate Professor
- 1994 - ストラスブール大学高等数学研究所招聘教授 教授
- 1986 - 1992 北海道大学講師(理学部数学) 講師
- 1986 - 1992 Lecturer
- 1980 - 1986 東京工業大学助手(理学部数学) 助手
- 1980 - 1986 Research Associate
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Committee career (4)：
- 2000 - 2017/03 Department of Mathematics, Hokkaido University Hokkaido Mathematical Journal, Editor-in-Chief
- 2008 - 2011 国際純粋および応用物理学連合(IUPAP) C18委員会副委員長
- 日本数学会 北海道支部評議委員(2001)
- 日本数学会 誌「数学」編集委員(1985ー1989)
Awards (1)：
- 2018/11 - Chiba University Science Lectureship Award
Association Membership(s) (1)：
International Association of Mathematical Pgysics
