The interplay between advanced mathematical techniques and theoretical physics has become essential for deepening our understanding of quantum field theory, Feynman integrals, and scattering amplitudes.
Recent mathematical breakthroughs—ranging from twisted cohomology, intersection theory, and D-modules to tropical geometry and Euler integrals—have provided powerful frameworks for analyzing and computing these fundamental objects. At the same time, the intricate analytic structure of Feynman integrals provides concrete examples that both challenge and enrich these mathematical theories.
A primary goal of this meeting is to bring together mathematicians and theoretical physicists from diverse fields—including Differential and Algebraic Geometry, Topology, Number Theory, Feynman Calculus, and Scattering Amplitudes—to explore novel approaches for evaluating Feynman integrals and scattering amplitudes. The conference will also address the broader implications of these developments for collider physics, cosmology, string theory, statistics, and pure mathematics.
MathemAmplitudes 2025 will provide a collaborative environment to leading researchers and early-career scientists to foster interdisciplinary dialogue and identify new common research directions in understanding Euler-type integrals and their role in high-energy physics. This event builds on the successful tradition of the MathemAmplitudes conferences, previously held in Padova (2019 and 2023), and brings experts from mathematics and theoretical physics to explore new synergies between algebraic and geometric tools along with advanced computer algebra and the study of Feynman integrals and scattering amplitudes.
