I'm currently a fourth-year math PhD student at Boston University, working in arithmetic and algebraic geometry. My research interests include the following topics:
algebraic cycles, motivic cohomology and algebraic K-theory;
the Tate and Birch and Swinnerton-Dyer conjectures;
arithmetic of abelian varieties, K3 surfaces, and cubic hypersurfaces.
My email is mbroe (at) bu.edu. Here is my CV.
Upcoming travel and talks:
From March 7-11, 2026, I will be at the Arizona Winter School on computational aspects of arithmetic geometry.
On March 26th, 2026, I am speaking in the Harvard CMSA algebra seminar.
On March 29th, 2026, I am speaking in the special session on "Number Theory in Function Fields" at the AMS Spring Eastern Sectional, at Boston College.
From May 18-22, 2026, I will be at the Simons Foundation conference on the Eisenstein ideal and Galois representations.
From July 13-17, 2026, I will be at CAVARET 2, at Universitat de Barcelona.
For the fall 2026 semester, I will be based at ICERM, as a long-term visitor in the semester program on computations on K3 surfaces.