Our internationally recognized faculty conduct research in the following subjects:

- Algebraic Geometry and Commutative Algebra
- Algebraic Topology
- Analysis
- Arithmetic Geometry
- Combinatorics
- Group Theory
- Harmonic Analysis
- History of Mathematics
- Low-dimensional Topology
- Mathematical Physics
- Number Theory
- Operator Theory
- PDEs
- Probability Theory

UVA Mathematics generally hosts ~12 postdoctoral fellows who conduct research in areas that complement the permanent faculty research.

UVA Mathematics hosts a wide variety of research seminars.