Riemannian and Lorentz geometry, curvature Geometric evolution equations: associated solitons Isometric actions, isoparametric submanifolds, constant principal curvatures Algebraic and differential Topology, Lusternik-Schnirelmann category, Topological complexity, Morse theory Foliation Theory, Global Analysis on foliations, Global Analysis on stratified spaces Dynamical Systems Algebraic geometry. Duality and homology of singular spaces Homological algebra, derived categories Hopf, Lie and Leibniz algebras Monoidal structures, Galois theory Applications of difference equations and in differences. Biomathematics Topological data analysis. Digital topology and image analysis Automatic analysis of digital images. Mathematics for production improvement Applications of dynamic systems to industrial processes Genetic and evolution algebras
Computational methods in algebra and geometry Analysis of omics data. Statistics for the study of cancer and Forensic Genetics. Models of cancer evolution Genotype-phenotype relationship. Success of antimicrobial therapies Cryptographic techniques
