Mathematical methods in physics, operator theory, spectral analysis, phase transitions, lattice models, non-equilibrium dynamics, large deviations.

Quantum many-body systems, nonlinear dynamics, topological phases, topological insulators, quantum Hall systems, strongly correlated matter, many-body localization.

Quantum mechanics, quantum field theory, gauge theories, conformal field theory, anomalies, scattering theory, exactly-solvable models, Bethe ansatz, integrable systems.

General relativity, Einstein equations, black holes, gravitational physics, relativistic astrophysics, astronomy, cosmology, holography, compact objects, high-energy astrophysics.

Particle physics, nuclear structure and dynamics, quantum chromodynamics, nuclear matter, fundamental interactions, particle phenomenology, mathematical aspects of high-energy and nuclear physics.

Numerical methods, computational physics, numerical relativity, Monte Carlo methods, tensor networks, high-performance computing, machine learning and AI for physics.