I am currently participating in the Summer 2026 UMass Math and Stats REU. I work under the supervision of Jenia Tevelev on research pertaining to the quantum spectrum of Fano varieties. Primarily, I use the Landau-Ginzberg mirror symmetry to numerically compute the monodromy braid of the quantum spectrum for various Fano threefolds, allowing these braids to be compared to the mutation braid of the semi-orthogonal decompositions of the derived category of the threefold given by its extremal contractions. The case by case checking of the equivalence of these braids is part of the verification of a larger conjecture which would unify the geometric side of the quantum cohomology with the algebraic side of the derived category.

For more information from Professor Tevelev, view here.

For a more detailed account of the background and methods, see my final project from Math 562