Research Interests
Analysis of PDEs and harmonic analysis
- PDOs and ΨDOs on curved manifolds and microlocal analysis
- Geometric analysis and geometric measure theory
- Abstract harmonic analysis and operator theory
- Analysis on almost Abelian groups and homogeneous spaces
Mathematical physics
- Quantum field theory in curved spacetimes and mathematical cosmology
- Elementary particle states in homogeneous cosmological spacetimes
- Hamiltonian and dynamical systems in Lorentzian spacetimes
Mathematical statistics and data science
- Mathematical foundations of predictive analytics