Amanda Burcroff

Amanda Burcroff is a mathematician specializing in algebraic combinatorics, currently serving as a President's Postdoctoral Fellow at the University of California, Davis. Starting in September 2025, she will join MIT as a School of Science Dean's and NSF Postdoctoral Fellow. Her research explores the connections between cluster algebras, scattering diagrams, and algebraic geometry, with additional contributions to number theory, graph theory, and combinatorial structures.

• Harvard University (Ph.D., Mathematics)
• University of Cambridge (M.A.St, Mathematics)
• Durham University (M.A.S., Pure Mathematics)
• University of Michigan (B.S., Mathematics)

Burcroff's research focuses on:

• Cluster algebra positivity and expansion formulas in low-rank settings
• Scattering diagram combinatorics and tropical geometry
• Hyperbolic Coxeter polytopes and dimension bounds
• Ehrhart theory and Hilbert bases for convex cones
• Combinatorics on words and pattern avoidance
• Domination polynomials and graph invariants

Her publications reveal interdisciplinary trends spanning algebraic combinatorics, geometric structures, and number-theoretic patterns. Recent work examines quantum cluster algebras, continued fractions, and convex geometry. Burcroff's awards include prestigious Marshall, NSF, and President's Postdoctoral Fellowships.

• Marshall Scholarship (UK study funding)
• NSF Postdoctoral Fellowship (MIT appointment)
• President's Postdoctoral Fellowship (UC Davis)

Burcroff actively promotes STEM diversity through mentorship programs like the Math Includes Mentorship Program and Graduate Research Opportunities for Women (GROW) Conference. Her mathematical outreach extends to high school initiatives including the Oakland University Summer Mathematics Institute and FIRST Robotics.