• mathematical modelling
• mathematical optimisation
• combinatorics
• algorithms

PhD project:

The goal of my thesis is to investigate mathematical optimisation problems that arise in efforts to enhance the resilience of modern electrical distribution grids, particularly those with high distributed energy resources penetration and reliance on automated control. By doing so, my co-authors and I aim to either discover simpler algorithms to solve them or to show that it is (highly likely) impossible. So far, we have studied two specific problems that have recently attracted attention: one aimed at improving system preparedness for blackouts and another focused on enhancing recovery strategies after a blackout.

In our publications, we have introduced new theoretical concepts (such as DG-kernels, catastrophic failures, etc.) that allowed us to construct more compact and computationally tractable mathematical models for the aforementioned problems. For example, one of our most recent developments is the introduction of a theoretical framework, with the help of which a tri-level MILP-MILP-MILP model was reduced to an equivalent bi-level MILP-MILP model (Eliseev, Stenglein, Steinke: IEEE Control Systems Letters, 2025).

Work experience:

• 2022 – present: researcher (PhD candidate) at 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).