Classical Field Theory
General Relativity and Gravitation (dissipative relativistic fluids, stress-energy complexes, gravitational collapse, mathematical cosmology, black hole space-times)
Analytical Mechanics (Lagrangian and Hamiltonian field theory, constrained Hamiltonian systems, canonical quantum gravity)
Differential Geometry
Riemannian and Lorentzian geometry, tensor analysis on manifolds
Differential Equations
Differential equations on manifolds, analytic solutions of nonlinear differential equations
History of Mathematical Sciences
Communication of Mathematical Sciences