Oleg Kirillov

Oleg Kirillov is an Associate Professor of Applied Mathematics at Northumbria University in Newcastle, UK, where he has been employed since 2016. He initially joined as a Vice-Chancellor's Senior Research Fellow, was promoted to Senior Lecturer in 2018, and to Associate Professor in Mathematics in 2022. He serves as the Foundation Year Programme Leader for the Department of Mathematics, Physics, and Electrical Engineering. His academic journey began at Lomonosov Moscow State University, where he earned his PhD in Theoretical (Mathematical) Mechanics in 2000. His international research career includes prestigious fellowships at institutions across Europe and Japan, including an Alexander von Humboldt Research Fellowship in Germany and a JSPS fellowship in Japan.

Dr. Kirillov's educational background includes a BSc (Hons) in Mathematical Sciences from Moscow Institute of Physics and Technology (1993), an MSc in Mathematical Sciences (1995), and a PhD in Mathematical Sciences from Lomonosov Moscow State University (2000). He has also earned professional recognition as a Fellow of the Higher Education Academy (2018), Member of the London Mathematical Society (2018), and Fellow of the Institute of Mathematics and its Applications (2018).

His research focuses on the mathematics of nonconservative and non-Hermitian models in physics and engineering, where he has made key theoretical contributions. Dr. Kirillov integrates perturbation methods for multiparameter matrix and non-self-adjoint differential operators with asymptotic methods for partial differential equations, singularity theory, and dynamical systems. A major focus of his work is the study of non-Hermitian eigenvalue crossings and their geometry. He and his co-authors developed the first analytical computation of geometric phase around exceptional points, validated by microwave cavity experiments. His work on differential operators in Krein spaces also contributed to magnetohydrodynamic dynamo theory.

Dr. Kirillov's publication record shows a consistent focus on stability phenomena in complex systems, particularly where nonconservative forces play a key role. His research spans fluid dynamics, magnetohydrodynamics, structural mechanics, and mathematical physics, with particular emphasis on dissipation-induced instabilities. His work often bridges theoretical developments with experimental validation, as evidenced by studies on Ziegler's paradox and flutter instabilities that have been experimentally confirmed. Recent publications indicate a growing interest in visco-thermodiffusive effects in rotating flows and their stability properties.

• Fellow of the Higher Education Academy (FHEA) 2018
• Member of the London Mathematical Society (MLMS) 2018
• Fellow of the Institute of Mathematics and its Applications (FIMA) 2018
• Nominated for the Student-Led Teaching Awards
• Alexander von Humboldt Research Fellow
• JSPS fellowship at Kyushu University
• Over 2,800 citations and an h-index of 28 (Google Scholar)

Dr. Kirillov has successfully supervised PhD and MSc students at Northumbria University and co-supervised doctoral candidates in Germany and Italy. His research portfolio includes 21 competitive fellowships and grants, reflecting significant external funding for his work. He has organized 10 international research workshops and symposia, including events at prestigious institutions like BIRS (Canada) and CISM (Italy). Currently, he chairs the Organizing Committee of the 23rd International Couette-Taylor Workshop - ICTW2025.

Dr. Kirillov contributes to the academic community as an Associate Editor for the journal Frontiers in Physics and through his leadership in organizing international conferences and workshops. His research group focuses on theoretical developments with applications in physics and engineering, particularly in understanding instability phenomena in complex systems. His monograph "Nonconservative Stability Problems of Modern Physics" (De Gruyter, 2013, 2021) has become a standard reference in the field.