## Research

The MSRC represents a wide range of mathematical research, falling broadly into the following categories listed below. You can also check research interests listed by researcher.

#### Algebra

Algebraic *K*-theory; classical algebra; noncommutative ring theory; homological algebra; sheaf theory

#### Analysis

Amenability; abstract harmonic analysis; applications to quantum information theory; Banach algebras; Banach lattices; operator algebras; operator theory

#### Data Science

Machine learning and artificial intelligence; big data analytics; Topological data analysis

#### Optimization and Operational Research

Life expectancy modelling; traffic and accident models; patient stay and readmission

#### Statistics

Survival Analysis; Longitudinal data analysis; Spatial Analysis; Discrete Choice Analysis; Bayesian Analysis

#### Topology and Geometry

Applied algebraic topology; computational topology; noncommutative topology; homotopy theory; point set topology; stochastic geometry

#### Partial Differential Equations and applied analysis

Dynamical systems; qualitative analysis of PDEs; spectral theory; applications to mathematical biology