58 citations · 252 across the 26 of their papers we have counts for
30 papers
Principal Landau Determinants
Claudia Fevola, Sebastian Mizera, Simon Telen
We reformulate the Landau analysis of Feynman integrals with the aim of advancing the state of the art in modern particle-physics computations. We contribute new algorithms for com…
Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
Claudia Fevola, Sebastian Mizera, Simon Telen
We reformulate the analysis of singularities of Feynman integrals in a way that can be practically applied to perturbative computations in the Standard Model in dimensional regular…
Hilbert Functions of Chopped Ideals
Fulvio Gesmundo, Leonie Kayser, Simon Telen
A chopped ideal is obtained from a homogeneous ideal by considering only the generators of a fixed degree. We investigate cases in which the chopped ideal defines the same finite s…
Tropical Implicitization Revisited
Kemal Rose, Bernd Sturmfels, Simon Telen
Tropical implicitization means computing the tropicalization of a unirational variety from its parametrization. In the case of a hypersurface, this amounts to finding the Newton po…
Solving Equations Using Khovanskii Bases
Barbara Betti, Marta Panizzut, Simon Telen
We develop a new eigenvalue method for solving structured polynomial equations over any field. The equations are defined on a projective algebraic variety which admits a rational p…
Four Lectures on Euler Integrals
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen
These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals…