• dynamical systems
• mathematical optimisation
• combinatorics
• numerical analysis
• algorithms

PhD project:

Mathematical modelling is an essential tool used practically everywhere in Science and Engineering to formally describe and, most importantly, forecast the behaviour of different systems. In particular, energy networks being an integral part of critical infrastructure can be explained with the help of numerous mathematical models that exhibit different real-life phenomena with different levels of accuracy. Specific phenomenon of energy networks we are interested in is their resilience to perilous errors that may happen within them such as, for example, deadlocks. Depending on the design of a network errors like this may lead to a complete shut-down of the system or may actually result in no tangible damage – the job of Mathematics here is to predict this behaviour before the unfortunate events actually occur. Our research aims to study the reaction of different network models to disruptions, find new properties of one set of models that correspond to already known properties of other models in order to develop new algorithms and methods of resilience analysis for energy networks.

Work experience:

• 2022 – present: researcher (PhD student) at GRK KRITIS and EINS, TU Darmstadt (Darmstadt, Germany).
• 2022: research intern at Laboratory of Informatics, Modelling and Optimisation of Systems (LIMOS), University of Clermont Auvergne (Clermont-Ferrand, France).
• 2021 – 2022: research assistant at International Laboratory of Algebraic Topology and Its Applications, HSE University (Moscow, Russia).

Education:

• 2020 – 2022: MSc in Applied Mathematics and Informatics, HSE University (Moscow, Russia) joined with the University of Clermont Auvergne (Clermont-Ferrand, France).
• 2016 – 2020: BSc summa cum laude in Applied Mathematics and Informatics, Russian Technological University (Moscow, Russia).