# Ivan Chi-Ho IP

- Name
- Ivan Chi-Ho IP
- Title
- assistant professor
- 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.