## Faculty Research Interests

The faculty in the department have wide research interests, but there are some groups that are particularly active. These are listed below along with links to their dedicated web pages.

**Differential Equations and Nonlinear Analysis**-
**Arsie, Alessandro**:- Dynamical systems, control theory and mathematical physics
**Cheh, Jeongoo**:- Mathematical physics, Lie symmetries and differential invariants
**Ou, Biao**:- Partial differential equations and applied analysis
**Shan, Chunhua**:- Differential equations and dynamical systems
**Shemyakova, Ekaterina**:- Geometry, mathematical physics, computational mathematics. algebraic theory of differential operators, supergeometry

**Complex Analysis and Operator Theory**-
**Cuckovic, Zeljko**:- Functional analysis, operator theory and complex analysis
**Le, Trieu**:- Functional analysis and operator theory
**Sahutoglu, Sonmez**:- Several complex variables and operator theory
**Tikaradze, Akaki**:- Algebra and representation theory

**Algebra**-
**Eshmatov, Alimjon**:- Algebra of differential operators, symplectic geometry, infinite dimensional groups, noncommutative algebraic geometry
**Tikaradze, Akaki**:- Algebra an representation theory

**Topology and Geometry**-
**Shemyakova, Ekaterina**:- Geometry, mathematical physics, computational mathematics. algebraic theory of differential operators, supergeometry
**Gultepe, Funda**:- Geometric group theory and low dimensional topology
**Martin, Geoffrey**:- Differential geometry, relativity, foundations of physics

**Statistics**-
**Liu, Rong**:- Nonparametric regression, statistical machine learning, econometrics
**Shao, Qin**:- Parametric, nonparametric and semiparametric statistics, applications of statistics, statistical data learning
**Zhang, Biao**:- Statistics

**Data Science**-
**Shao, Qin**:- Parametric, nonparametric and semiparametric statistics, applications of statistics, statistical data learning