# About Me

I am an NSF and an EPSRC Postdoctoral Fellow at Cambridge and a Research
Fellow in Homerton College, Cambridge. My NSF mentor is Prof. Mark Gross.
I received my PhD in 2014 at the University of Pennsylvania, advised by Prof. Ron Donagi.
I did my undergraduate studies at the University of Georgia.

My primary research interests are in mirror symmetry and algebraic geometry. Mirror
symmetry is a conjecture inspired by a duality in string theory called T-duality
that allows one to encode symplectic information about one space into the algebraic
geometry of another and vice versa. I study this duality in various ways as
well as implications it may have for number theory.

If one studies mirror symmetry for a symplectic manifold, its mirror is a
Landau-Ginzburg model, which is a triplet of data: an algebraic space (or variety),
a group acting on it, and a regular function on this space that is invariant
with respect to the group. Here, the symplectic geometry of the manifold you started
with is encapsulated in the algebro-geometric data of the singularity
defined by this function.

The Landau-Ginzburg model is oftentimes very malleable and provides a geometric
description for many algebraic objects. In the past, I used it to give a unification
of various constructions of mirrors to subvarieties in toric varieties.
I lately have been researching its homological and enumerative properties. I am very
interested in studying Landau-Ginzburg models in the context of global mirror symmetry.