Tetsuji Miwa (三輪 哲二,Miwa Tetsuji; born 10 February 1949 in Tokyo) is a Japanese mathematician, specializing inmathematical physics.
Miwa received his undergraduate degree in 1971 and his master's degree in 1973 from theUniversity of Tokyo.[1] He studiedmicrolocal analysis andhyperfunctions in the early 1970s under the influence ofMikio Satō andMasaki Kashiwara. In 1973 Miwa moved to RIMS (Research Institute for Mathematical Sciences) atKyoto University 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,[2][3] retiring as professor emeritus in 2013. He held a joint appointment as a professor at RIMS.
With Michio Satō andMichio Jimbō he discovered in the 1970s a connection with monodromic-derived ( isomonodromes) deformations of linear differential equations and correlation functions in theIsing model.[4] 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 byLudwig Schlesinger.)
Miwa studied, with Jimbō and Etsuro Date, the role of affineLie algebras insoliton equations and, with Jimbō, the role of quantum groups in exactly solvable grid models of statistical mechanics.
He collaborated with Mikio Sato and Michio Jimbo on the isomonodromic deformation theory and its application to the 2-dimensional Ising model. Dr. Miwa is widely recognized by his work on solitons and exactly solvable lattice models in connection with the representation theory of the affine Lie algebras, and on correlation functions of quantum spin chains in connection with the representation theory of the quantum affine algebras.[1]
Miwa and Michio Jimbō were jointly awarded in 1987 the autumn prize of theMathematical Society of Japan and in 1999 theAsahi Prize.[5] In 2013 Miwa was awarded, jointly with Michio Jimbō, theDannie Heineman Prize for Mathematical Physics 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."[1]
In 1986 he was an Invited Speaker with talkIntegrable lattice models and branching coefficients at theInternational Congress of Mathematicians (ICM) in Berkeley. In 1998 he gave a plenary lectureSolvable Lattice Models and Representation Theory of Quantum Affine Algebras at the ICM in Berlin.[6]
