High-dimensional data analysis and the interface between high-dimensional geometry and the concentration of measure theory, Neural networks, including networks with dynamic and spiking neurons, Machine learning, Artificial Intelligence, Dynamical systems theory, Mathematical control theory, Optimization (nonconvex, and nonlinear problems), Mathematical modelling.

Professor of Mathematical Data Science and Modelling at King’s College London. After completing PhD in 2001 he worked as a Research Scientist at RIKEN Brain Science Institute, Japan. In 2006 he was awarded a DSc (Habilitation) degree, and in 2007 he became an RCUK Academic Fellow at the University of Leicester. Since then he was promoted to the roles of Lecturer in Applied Mathematics, Reader, and Professor in Applied Mathematics in 2012, 2014, and 2018, respectively. Whilst at Leicester, in 2019 - 2021 he served as an Adjunct Professorship at the Norwegian University of Science and Technology (NTNU). In 2022 he joined the Department of Mathematics at King’s College London and works there to date.

Since 2015, he has served as an Associate Editor of Communications in Nonlinear Science and Numerical Simulations (CNSNS, Elsevier), and is working as an Editor of CNSNS since 2019.

• Skolkovo Institute of Science and Technology
• King's College London