Bachelor and master projects
If you are an HU bachelor or master student in Mathematics or Physics and you are interested to do a bachelor or master thesis, write me an email (I may not be able to accomodate all requests).
If you are a HU Physics student who would like to do a thesis with a colleague in the Institute of Mathematics, I could act as an official supervisor (to be discussed case by case).
Possible projects (not exhaustive)
Differential geometry
- Selberg trace formulas and the like
- Compactifications of the moduli space of complex curves
Algebraic geometry
- Arithmetic aspects of topological recursion
- Exploring intersection numbers on the moduli space of curves
- Deformation spaces of spectral curves and Frobenius manifolds
- Cohomological field theories and Teleman reconstruction theorem
Mathematical physics
- Enumeration of branched covers of curves (Hurwitz theory) and integrability
- Two dimensional Yang-Mills theory and string theory
- Airy structures, topological recursion and topological gravity
- Algebraic structures in low-dimensional TQFTs
- Matrix factorisations and enumerative geometry
- W-algebras and r-spin intersection numbers
Analysis and combinatorics
- Determinantal structures and vanishing properties in matrix ODEs
- Asymptotic questions in large random matrices
- Representation theory of U(N) and coupled random matrices
- Free probability and random matrices
Statistical physics
- Random tilings
- Ising model on random 2d lattices