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

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 July 13-17, 2026, I will be at CAVARET 2, at Universitat de Barcelona.

• From July 23-30, 2026, I will be at the International Congress of Mathematicians in Philadelphia.

• From August 3-7, 2026, I will be at the Gross-Zagier conference at MIT.

• From August 24th-28th, 2026, I will be attending (and speaking at) the ISM Discovery School on Kähler geometry, arithmetic and algebraic geometry, and hyperbolicity, at UQAM in Montréal.

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

• 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.

• 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".