- Algebra
- Algebra and number theory
- Hyperbolic volumes
- Mahler measure
- Number of solutions of curves in finite fields
- Number theory
- Period
- Polylogarithm
- Polynomials
- Regulators
- Special value of L-functions

Our faculty members and researchers have vast expertise in many advanced aeras, as can be seen in the list below.
For the complete list of our experts, see the Departmental directory.