KAWAHIGASHI, Yasuyuki
Title
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Professor |
Field | Operator Algebras |
Research interests
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2-dimensional conformal field theory, topological phases of matter |
Current research
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I study 2-dimensional 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 3-dimensional topology. Through connections to tensor categories, I also study topological phases of matter. |
Selected publications
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Books
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(with D. E. Evans) "Quantum Symmetries on Operator Algebras" Oxford University Press (1998). |
Memberships
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The Mathematical Society of Japan, American Mathematical Society, International Association of Mathematical Physics |
Awards
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Operator Algebra Prize (2000), The Spring Prize of the Mathematical Society of Japan (2002). |
Activities
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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. |