Tetsuji Miwa (三輪哲二, ''Miwa Tetsuji''; born 10 February 1949 in Tokyo) is a Japanese mathematician, specializing in

mathematical physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...

. Miwa received his undergraduate degree in 1971 and his master's degree in 1973 from the

University of Tokyo , abbreviated as or UTokyo, is a public research university located in Bunkyō, Tokyo, Japan. Established in 1877, the university was the first Imperial University and is currently a Top Type university of the Top Global University Project by ...

. He studied

microlocal analysis In mathematical analysis, microlocal analysis comprises techniques developed from the 1950s onwards based on Fourier transforms related to the study of variable-coefficients-linear and nonlinear partial differential equations. This includes genera ...

and

hyperfunction In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought of informally as distributions of infinite order. Hyperfunctions were introduced by Mikio Sato ...

s in the early 1970s under the influence of Mikio Satō and

Masaki Kashiwara is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, D-module, ''D''-module theory, Hodge theory, sheaf theory and represent ...

. In 1973 Miwa moved to RIMS (

Research Institute for Mathematical Sciences The is a research institute attached to Kyoto University, hosting researchers in the mathematical sciences from all over Japan. RIMS was founded in April 1963. List of directors * Masuo Fukuhara (1963.5.1 – 1969.3.31) * Kōsaku Yosida (196 ...

) at

Kyoto University , mottoeng = Freedom of academic culture , established = , type = National university, Public (National) , endowment = ¥ 316 billion (2.4 1000000000 (number), billion USD) , faculty = 3,480 (Teaching Staff) , administrative_staff ...

and joined the mathematicians of the Satō school. He received his PhD in 1981 from Kyoto University. There he was a research assistant from 1973 to 1984, an associate professor from 1984 to 1993, and a full professor from 1993, retiring as professor emeritus in 2013. He held a joint appointment as a professor at RIMS. With Michio Satō and Michio Jimbō he discovered in the 1970s a connection with monodromic-derived ('' isomonodromes '') deformations of linear differential equations and correlation functions in the

Ising model The Ising model () (or Lenz-Ising model or Ising-Lenz model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent ...

. With Jimbō he then examined general isomonodromic deformations of linear differential equations. (This mathematical approach to linear differential equations was begun during the early years of the 20th century by

Ludwig Schlesinger Ludwig Schlesinger (Hungarian: Lajos Schlesinger, Slovak Ľudovít Schlesinger), (1 November 1864 – 15 December 1933) was a German mathematician known for the research in the field of linear differential equations. Biography Schlesinger att ...

.) Miwa studied, with Jimbō and Etsuro Date, the role of affine

Lie algebra In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an Binary operation, operation called the Lie bracket, an Alternating multilinear map, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow ...

s in

soliton In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium ...

equations and, with Jimbō, the role of quantum groups in exactly solvable grid models of statistical mechanics. Miwa and Michio Jimbō were jointly awarded in 1987 the autumn prize of the

Mathematical Society of Japan The Mathematical Society of Japan (MSJ, ja, 日本数学会) is a learned society for mathematics in Japan. In 1877, the organization was established as the ''Tokyo Sugaku Kaisha'' and was the first academic society in Japan. It was re-organized ...

and in 1999 the

Asahi Prize The , established in 1929, is an award presented by the Japanese newspaper ''Asahi Shimbun'' and Asahi Shimbun Foundation to honor individuals and groups that have made outstanding accomplishments in the fields of arts and academics and have greatl ...

. In 1986 he was an Invited Speaker with talk ''Integrable lattice models and branching coefficients'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

(ICM) in Berkeley. In 1998 he gave a plenary lecture ''Solvable Lattice Models and Representation Theory of Quantum Affine Algebras'' at the ICM in Berlin. In 2013 Miwa was awarded, jointly with Michio Jimbō, the

Dannie Heineman Prize for Mathematical Physics Dannie Heineman Prize for Mathematical Physics is an award given each year since 1959 jointly by the American Physical Society and American Institute of Physics. It is established by the Heineman Foundation in honour of Dannie Heineman. As of 2010 ...

for "profound developments in integrable systems and their correlation functions in statistical mechanics and quantum field theory, making use of quantum groups, algebraic analysis and deformation theory."

Selected publications

* as editor with Masaki Kashiwara
''Physical Combinatorics''
Birkhäuser 2000, / * with Michio Jimbō, Etsurō Date
''Solitons: differential equations, symmetries and infinite dimensional algebras''
Cambridge University Press 2000, * with Jimbō
''Algebraic analysis of solvable lattice models''
American Mathematical Society 1993, * with Jimbō: ''Solitons and infinite dimensional Lie algebras''. Pub.RIMS, vol. 19, 1983, pp. 943–1001, * with H. Boos, M. Jimbo, F. Smirnov, and Y. Takeyama:

References

External links

* * {{DEFAULTSORT:Miwa, Tetsuji 1949 births Living people 20th-century Japanese mathematicians 21st-century Japanese mathematicians University of Tokyo alumni Kyoto University alumni Kyoto University faculty Mathematical physicists