Limited-Term Assistant Professor of Mathematics
University of Georgia
I am a geometric representation theorist currently working at the University of Georgia. My research interests include Higgs and Coulomb branches, symplectic daulity, DAHAs, deformation theory, and algebraic geometry.
I received my Ph.D. in Mathematics from the University of Chicago, where I was supported by an NSF Graduate Research Fellowship and advised by Victor Ginzburg. Before that, I earned my Bachelor's degree in mathematics from the University of California, Berkeley.
Email: nikolayg@uga.edu
Preprint, 2026.
We provide a zeros-and-residues realizations of the double affine Hecke algebra associated with the non-reduced affine root system of type \((C_n^\vee,C_n)\). We also show it is the universal deformation of a crossed product algebra of a quantum torus and finite Weyl group. arXiv
Preprint, 2026.
We construct isomorphisms between affinized cotangent bundles of Braverman–Kazhdan spaces in type A using reflection functors for quiver varieties with an SL-gauge group. arXiv