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Amanda Burcroff joins MIT mathematics postdoc, advances combinatorics research

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Meet Amanda Burcroff: The Mathematician Bridging Algebra, Physics, and the Next Generation

“She helps unify different mathematical approaches to understand system reliability, revealing the underlying mathematical architecture.”

The Researcher
Amanda Burcroff, a mathematician specializing in algebraic combinatorics, has joined MIT’s Department of Mathematics as a postdoc under the prestigious School of Science Dean's Fellowship. She currently works with Professor Alexander Postnikov to apply combinatorial techniques to theoretical physics and other fields.

Key Achievements

  • Unified mathematical approaches to system reliability, exposing the hidden architecture of complex systems.
  • Co-authored a 2024 paper proving positivity properties of generalized cluster algebras, resolving a long-standing conjecture in the field.
  • Honors include the National Science Foundation Graduate Research Fellowship, the British Marshall Scholarship, and the Jack Kent Cooke Graduate Fellowship.

Career Path

  • 2015: B.A. in Mathematics, minor in Computer Science, University of Michigan.
  • Study abroad in Budapest, Hungary.
  • 2019: Master’s in Pure Mathematics, University of Cambridge; later a research master’s at Durham University.
  • 2021: Ph.D. at Harvard University under Professor Lauren Williams.
  • Current: Postdoc at MIT.

Outreach & Mentorship
Burcroff is deeply committed to inclusion in the mathematical community. She has participated in mentoring programs including:

  • Harvard’s Real Representations and Math Includes
  • Cambridge Girls’ Angle
  • MIT PRIMES

She plans to continue outreach efforts focused on supporting underrepresented groups in mathematics.