— 'On a certain bases of Lie superalgebra' (tentative title)
— 'On cohomological properties of quiver flag varieties' (tentative title)
— 'Certain holomorphic line bundles' (with M. Zakrzewski, 2024)
— 'On certain Lie superalgebras' (with E. Norton and B. Westbury, 2024)
— 'On certain invariants of a Lie superalgebra' (in preparation, 2024)
— 'Quantum groups and colored HOMFLY-PT invariants' (in preparation)
Education
Ph.D. in Mathematics, University of Illinois at Urbana-Champaign
M.A. in Mathematics, University of Georgia
M.Phil. in Mathematics, University of Birmingham, England
B.S. in Physics, University of Georgia
B.S. in Mathematics, University of Georgia
Background
Research interests include geometric and topological aspects of (Grothendieck-)Springer resolutions
Equivariant geometry, quiver flag varieties, Hilbert schemes, and moduli constructions
Topological quantum field theories (TQFTs) and their connections to number theory, mathematical physics, K-theory, dynamical systems, and algebraic geometry
Representations of Lie (super)algebras, with combinatorial, categorical, and geometric connections