Ivan Chi-Ho IP

Name
Ivan Chi-Ho IP
Title
assistant professor
Email
ivan.ip (please add @math.kyoto-u.ac.jp)
URL
http://www.math.kyoto-u.ac.jp/~ivan.ip
Research Area
Representation Theory, Functional Analysis, Mathematical Physics
Profile

My research lies in the intersection of representation theory, non-commutative geometry, functional analysis and mathematical physics. Specifically, my research focuses on the theory of positive representations, which is a new research program devoted to the study of representation theory of split real quantum groups.

The whole program involves several related theories, including Faddeev's modular double, the quantum dilogarithm and q-special functions, harmonic analysis on semigroup, cluster algebras, Lusztig's parametrization of total positivity, C*-algebra and unbounded operators. It is expected to have applications to construction of new TQFT's, categorifications, and quantum Teichmüller theory.