I am a doctoral candidate of Mathematics at George Mason University under David Carchedi. Currently, I am a visiting student at the Max Planck Institute for Mathematics in Bonn Germany, where I am a co-organizer of the Quantum Field Theory for the Easily Frightened reading seminar.
My research interests are in higher categories in geometry and algebra: specifically with models of derived geometry in the smooth setting. I am currently working on furthering the foundations of derived differential geometry especially in connection with higher field theories in mathematical physics, and furnishing a form of algebraic geometry for monoidal functors in higher algebra.
I'm passionate about making mathematical education more accessible to my community by volunteering with the Princeton Prison Teaching Initiative and mentoring high school and university students.
In my free time I enjoy reading, especially science fiction and horror novels, and cooking.
Contact jfrias3@gmu.edu