Theoretical particle physics and cosmology

- Heterotic / F-Theory / Type II duality
- Particle Physics from Heterotic String Theory and F-Theory
- String Cosmology (Inflation, Moduli Stabilization, Dark Matter)
- Gauged linear sigma models and worldsheet theories
- SUSY and SUSY breaking

Mathematics

- Algebraic and toric geometry
- Singularity theory and limiting mixed Hodge structure
- Group theory
- Conformal field theory
- Knot theory

Data science and computational physics

- Machine learning
- Genetic algorithms
- Persistent homology
- Commutative algebra and computational algebraic geometry