I'm currently a fifth-year math PhD student at Boston University, working in arithmetic and algebraic geometry. My advisor is Padma Srinivasan. 

For the fall 2026 semester, I am based at ICERM, as a long-term visitor in the semester program on computations on K3 surfaces.

My research interests include the following topics:

• algebraic cycles, motives, and motivic cohomology;

• 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 September 7th-11th, 2026, I will be attending (and speaking at) Motivic Midlands, at the University of Nottingham.

• From October 3rd-4th, 2026, I will be at the AMS Fall Eastern Sectional Meeting at George Washington University. I will be speaking in the special session on "Arithmetic of Cycles on Jacobians and Abelian Varieties".

• On October 6th, 2026, I am speaking in the Pioneer Valley number theory seminar, at Amherst College.

• On November 5th, 2026, I am speaking in the Boston College number theory seminar.