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Grants

Russian Science Foundation grants

Demazure roots and root subgroups
Modifications of Makar-Limanov and Derksen invariants
Automorphisms of affine varieties with torus action of complexity one
Orbits and characters of unipotent groups over finite fields
Affine surfaces, rigidity and combinatorics at infinite
Automorphisms of algebraic monoids

Completed grants

Combinatorial invariants of spherical homogeneous spaces (2018–2020)
Айзенберг Антон Андреевич

Laboratory Head

Torus actions of complexity one and diagonalisation of periodic matrices (2018–2020)
Studies on affine spaces and related objects through algebraic group actions and locally nilpotent derivations (2022-2024)
Gorenstein algebras and additive actions on hypersurfaces (2023-2024)
Additive actions on complete algebraic varieties and their generalizations (2019–2021)
Complexity problems in theoretical computer science (2023-2024)
Toric topology and geometric group theory
Ветров Дмитрий Петрович

Head of the Centre of Deep Learning and Bayesian Methods

Deep Bayesian Methods in Machine Learning, Scalable Optimization and Computer Vision Problems (2017–2020)
Orbits of regular automorphism group of a G-variety (2020-2022)
New Physics Search in LHCb using Deep Learning Techniques
Linguistic Linked Open Data Cloud for Languages of Russia: Models, Methods, Applications
Semantic technologies and machine learning for monitoring, prediction, verification and control of data-streaming reactive systems
Knowledge representation, discovery, and processing: a logic-based approach (2017-2019)
Лимонченко Иван Юрьевич

Laboratory Head

Polyhedral products in topology, geometry and combinatorics
Cohomology of Conformal Algebras
Network Representation Learning for Graph Machine Learning
Analysis of high-dimensional random objects with applications to large-scale data processing (2018-2020)
Applications of probabilistic artificial neural generative models to development of digital twin technology for non-linear stochastic systems
Нестеров Юрий Евгеньевич

Algorithmic optimization for problems with large number of variables (2017–2019)
Осокин Антон Александрович

Assistant Professor

Neural-network algorithms for one-shot object detection (2019–2021)
Flexible varieties, unipotent subgroups, and computational methods (2021-2023)
Adaptive tensor methods for partial differential equations
Шаповал Александр Борисович

Leading Research Fellow

Non-stationarity and fractality of dynamics in the evolution of complex systems: applications to physics of the Earth and the Sun
Equivariant compactifications of a vector group with a finite number of orbits (2023-2025)
Diophantine approximation, arithmetic sequences and analytic number theory