- PhD. University of Manchester Institute of Science and Technology, Mathematics, 2001
- B.Sc. University of Manchester Institute of Science and Technology, Mathematics, 1997
Ergodic Theory and Dynamical Systems, Skew-Product Systems with Dynamically Attracting Invariant Subspaces, Dynamics of Hypercyclic and Cesaro Hypercyclic Operators, Dynamics of Skew-Products of Operators, Dynamics of Semigroups of Commuting Linear Operators, Dynamics of Non-Homogeneous Markov Chains, Iterated Function Systems, Universal Series, Combinatorics and its interplay with Dynamical Systems and Ergodic Theory.