Dmitrii Galakhov

Last Update 2023/06/19
My major research interests lie on the intersection of physics, mathematics and string theory. Compactifications of Mtheory have produced a zoo of physical models and techniques allowing us to answer deep and highly nontrivial questions we usually ask of generic QFTs as instruments to describe our Universe. For example, in so called class S theories we are able to describe completely in IR regime the whole spectrum of so called BPS particles whose quantum numbers reveal a tight connection with geometry  DonaldsonThomas invariants. One of my current interest is to exploit Hilbert spaces of BPS states in a program of categorification for various manifold invariants.
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