My current research projects involve two related themes. First, I study how AI can be leveraged to improve education, and how educational practices must adapt to these new developments. This includes understanding the areas where AI can be helpful, while also recognising the intrinsic and irreplaceable value of human interaction, in-person experiences, and interpersonal communication. Second, I am interested in exploring applications of AI to solve mathematical problems, as well as its potential uses in other scientific fields. Here are some talks I have given recently:
Before, my research was focused in mathematical physics; more concretely, Topological Recursion. This is a subfield of enumerative geometry that studies how different types of invariants: cohomological field theories, Gromov-Witten invariants, knot polynomials, arise from a recursive procedure on a spectral curve. Here is my thesis and slides of some of some talks related to it:
As an undergrad, I wrote a thesis on Topological Quantum Field Theories. Here are other talks I have given in a variety of contexts: