Department of Fundamental Mathematics

At the Department of Fundamental Mathematics (Head — Professor Oleksandr Leonidovych Yampolskyi), research is conducted in several key areas: geometry of submanifolds in Lie groups, fibered spaces, spaces of constant curvature, and Riemannian manifolds; geometry and topology of foliations; affine differential geometry; nonlinear problems of mathematical physics and the qualitative theory of infinite-dimensional dynamical systems; complex analysis and convex analysis; theory of subharmonic functions, growth and value distribution of entire and meromorphic functions; mathematical and statistical physics; various classes of differential equations, including nonlinear integro-differential equations, equations with delayed argument, and equations in Banach spaces; analytical probability theory; geometry of Banach spaces; algebra.