Joseph Rogge

Research

I am a fourth year PhD student in the math department at the University of Washington, where I am advised by Cynthia Vinzant. I am interested in real algebraic geometry and matrix varieties.

Before coming to the University of Washington, I did my bachelor’s at the University of Illinois at Urbana Champaign and completed Part III of the Mathematical Tripos at Cambridge.

Home

Publications

Convex geometries representable by at most 5 circles on the plane (with K. Adaricheva et. al.) Involve 2024

Pairs of Disjoint Matchings and Related Classes of Graphs (with H. Guo, K. Kaempan, Z. Mo, S. Qunell, C. Song, A. Tserunyan, and J. Zomback). Involve 2023

Updates

In Autumn 2026, I am running a formal verification project through the UW Math AI Lab. We are working towards formalizing the characterization of principal minor equivalence due to Chatterjee, Ghosh, Gujar, and Raj, which builds upon recent work of my academic older sister, Abeer Al Ahmadieh. Check out our Github Repo to see what we've gotten up to!