Research | Geometry

Reasearch topics

Topological, proximal, uniform structures on function spaces and on hyperspaces, and applications. Point-free geometries by proximal methods. Topological methods to study the chaotic nature of dynamical systems: from the individual chaos to the set valued chaos.

Differential geometry, geometry of jet spaces and partial differential equations, differential geometric methods in analytical mechanics and theoretical physics, (pseudo)Riemannian geometry and its applications to general relativity. Homological algebra of differential equations, homological methods in mathematical physics.