Representation Theory
Represents abstract algebraic structures as linear transformations of vector spaces.
My doctoral research focuses on finite-dimensional Lie algebras, structures that often model symmetries in mathematical physics.
The core of my work is an exploration of the interwinings between representation theory and group theory. These fundemental frameworks provide the essential mathematical language for unlocking Lie algebras properties.
Represents abstract algebraic structures as linear transformations of vector spaces.
Investigates the infinitesimal symmetries of differential equations and geometric objects, which can be applied to quantum mechanics and particle physics.
Describes transformations preserving certain properties.
Proceedings of the Kravchuk Conference, 2025
Acta Polytechnica 65(5):554-561, 2025
KyivAcademUs2025 math.02, 7 pages.
Institute of Mathematics of NAS of Ukraine
Supervisor: Dr. Sc. Maryna Nesterenko
Kyiv Academic University, Kyiv, Ukraine
Supervisor: Dr. Sc. Nikolay Iorgov
Kyiv Taras Shevchenko National University, Kyiv, Ukraine
Supervisor: Dr. Sc. Anna Morozovska
Kyiv, Ukraine
Symmetry and Integrability of Equations of Mathematical Physics
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XX International Scientific Conference in honour of the academician Mykhailo Kravchuk
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International Conference of Young Mathematicians 2025
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13th All-Ukrainian Scientific Conference of Young Mathematicians
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KyivAcademUs 2025
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Bogolyubov Kyiv Conference
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View File (PDF)Department of Theoretical and Mathematical Physics at KAU
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View Presentation (PDF)I am always open to scholarly discourse, research collaborations, and mathematical exchange.