KAWAHIGASHI, Yasuyuki
Title

Professor 
Field  Operator Algebras 
Research interests

2dimensional conformal field theory, topological phases of matter 
Current research

I study 2dimensional conformal field theory from the operator algebraic viewpoint. Rather than using Wightman fields, we deal with a net of operator algebras generated by local observables. The representation theoretic aspects based on the Jones theory of subfactors are mainly focused, and I have close connections to theories of vertex operator algebras and quantum invariants in 3dimensional topology. Through connections to tensor categories, I also study topological phases of matter. 
Selected publications


Books

(with D. E. Evans) "Quantum Symmetries on Operator Algebras" Oxford University Press (1998). 
Memberships

The Mathematical Society of Japan, American Mathematical Society, International Association of Mathematical Physics 
Awards

Operator Algebra Prize (2000), The Spring Prize of the Mathematical Society of Japan (2002). 
Activities

Editors of the following journals: Commun. Math. Phys., Intenat. J. Math., Japan. J. Math., J. Math. Phys. , J. Math. Sci. Univ. Tokyo, Rev. Math. Phys. 