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