Claudio Gómez-Gonzáles, assistant professor of mathematics, has received a Launching Early-Career Academic Pathways in the Mathematical and Physical Sciences (LEAPS-MPS) grant from the National Science Foundation. Their two-year project, entitled “Special Points, Moduli Problems, and Resolvent Filtrations” (#2418943), aims to advance the theory of resolvent degree by developing new computational techniques, formalizing ideas from historical and contemporary literature into general frameworks, and exploring new phenomena through the lens of resolvent problems.
Throughout this project, Prof. Gómez-Gonzáles will lead research experiences for undergraduate student researchers by building on emerging work that includes exploring phenomena via data-scientific approaches and translating classical literature on resolvent degree, with the goals of informing ongoing research and developing pedagogical materials towards broadening perspectives in math education. Support from this grant will also enable Prof. Gómez-Gonzáles to spend a term at the University of California, Irvine, where they will advance existing collaborations with associate professor of mathematics, Jesse Wolfson, and develop new relationships with other researchers.