Number Theory and Arithmetic Geometry. 

My current interest is

  - Interpretation of orbital integrals via smoothening

Professor Sungmun Cho studies number theory. In particular, he is interested in integrals over a p-adic field (which is an avatar of the set of real numbers at a prime number p) based on algebraic geometry. Using this, he is seeking applications to Langlands program, in the context of trace formula.