Polynomial Division and Elimination Theory via Finite Field Reconstruction

by Giulio Crisanti (University of Edinburgh)

Monday 21 Jul 2025, 15:00 → 17:00 Europe/Rome

Using recently developed techniques from high energy physics, we explore a process to perform polynomial division over finite fields, without the need to reconstruct intermediate Groebner bases. Such an approach can result in several orders of magnitude of speedup compared to traditional analytic approaches. We apply these methods to a broad class of problems, ranging from constraint equation solving to Landau Analysis for Feynman integrals.