Academic Research

Before venturing into deep learning, I did a PhD in Mathematics focusing on the intersection of geometry and string theory.

String theory has, over the past few decades, been a curious venue for a profound interaction between mathematics and physics. The efforts to formulate a fundamental quantum theory of gravity have led several branches of pure mathematics to make an appearance in physics. Most notably, geometry in its various forms has started to take on a prominent role.

My research focused on the geometric objects—higher-dimensional shapes—that appear in string theory and how their properties manifest in the physical theories they are associated with. Usually with opaque names like G₂ manifolds or GK geometries, these shapes are often of independent mathematical interest. What makes them especially exciting is the fruitful interplay of mathematics and physics that is present.