# Research

Mathematics at MIT is administratively divided into two categories: Pure Mathematics and Applied Mathematics. They comprise the following research areas:

## Pure Mathematics

- Algebra & Algebraic Geometry
- Algebraic Topology
- Analysis & PDEs
- Geometry
- Mathematical Logic & Foundations
- Number Theory
- Probability & Statistics
- Representation Theory

## Applied Mathematics

In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications.