I am currently a third-year PhD student at the University of Michigan in Ann Arbor. I am interested in most aspects of algebraic and enumerative combinatorics. Currently, my research centers on cluster algebras and their connections to algebraic and symplectic geometry, representation theory, and invariant rings. My advisor is Sergey Fomin.
I am currently co-organizing the University of Michigan Student Combinatorics seminar.
Before Michigan, I completed my B.S. in Mathematics and Linguistics at Haverford College.
When not doing Math I'm usually thinking about language, pop culture, urban planning, or garment-making.
email: jpcarv (at) umich (dot) edu
CV (updated april 2024)