- 2008 – now - Senior Lecturer in Applied Mathematics, Department of Mathematical Sciences, º¬Ðß²ÝÊÓƵ, UK
- 2003 – 2008 - Lecturer in Applied Mathematics, Department of Mathematical Sciences, º¬Ðß²ÝÊÓƵ, UK
- 2000 – 2003 - Research Associate, Physics Department, Lancaster University, Lancaster, UK
- 1997 - PhD in physics and mathematics on the basis of thesis "Reconstruction of dynamical systems from experimental data", Physics Department, Saratov State University, Saratov, Russia
Current research focus: artificial intelligence, explainable artificial intelligence, dynamical systems for learning, self-organising vector fields, neural networks.
Past research interests: synchronization of oscillations, noise-induced phenomena, dynamical systems with delay, nonlinear time series analysis, modelling dynamical systems, global reconstruction of dynamical systems from experimental data, applications in medicine and biology.
General expertise: dynamical systems, bifurcation theory, delay differential equations, theory of random processes, data analysis, mathematics of learning, applications in biology.
TEDx talk: “Can we resolve the mind-body problem with mathematics?”, October 2016
Talk "The mind as the process in time: a mathematical perspective" (from 15th minute)
Lectures on dynamical systems and synchronisation (YouTube playlist)
Mini-video “Can the mind be understood mathematically?”
Press release 2022: Faster analogue computer could be based on mathematics of complex systems