Research lines

  • Algebraic and differential topology, Lusternik-Schnirelmann cathegory, topological complexity, Morse theory.
  • Dynamical systems. Applications of differential and difference equations. Biomathematics.
  • Foliation theory, Global analysis on foliated spaces, Global analysis on stratified spaces.
  • Homological algebra, derived categories, Hopf algebras, Lie algebras and Leibniz algebras, duality in algebraic geometry, monoidal structures, homology of singular spaces, Galois theory
  • Riemannian and Lorentzian geometry, curvature, geometric evolution equations, isometric actions, isoparametric submanifolds, constant principal curvatures.