activity
19962022
most citedThe elliptic dilogarithm for the sunset graph

255 citations · 471 across the 22 of their papers we have counts for

collaborators

27 papers

math.AG2022

Computing heights via limits of Hodge structures

Spencer Bloch, Robin de Jong, Emre Can Sertöz

We consider the problem of explicitly computing Beilinson--Bloch heights of homologically trivial cycles on varieties defined over number fields. Recent results have established a…

math.AG2022

Heights on curves and limits of Hodge structures

Spencer Bloch, Robin de Jong, Emre Can Sertöz

We exhibit a precise connection between Néron--Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singula…

math.NT2019★ 5 cited

Gamma functions, monodromy and Frobenius constants

Spencer Bloch, Masha Vlasenko

In their paper on the gamma conjecture in mirror symmetry, Golyshev and Zagier introduce what we refer to as Frobenius constants associated to an ordinary linear differential opera…

hep-th2016

Local mirror symmetry and the sunset Feynman integral

Spencer Bloch, Matt Kerr, Pierre Vanhove

We study the sunset Feynman integral defined as the scalar two-point self-energy at two-loop order in a two dimensional space-time. We firstly compute the Feynman integral, for arb…

math.AG2015★ 4 cited

Feynman Amplitudes and Limits of Heights

Omid Amini, Spencer Bloch, José I. Burgos Gil +1

We investigate from a mathematical perspective how Feynman amplitudes appear in the low-energy limit of string amplitudes. In this paper, we prove the convergence of the integrands…

hep-th2014★ 139 cited

A Feynman integral via higher normal functions

Spencer Bloch, Matt Kerr, Pierre Vanhove

We study the Feynman integral for the three-banana graph defined as the scalar two-point self-energy at three-loop order. The Feynman integral is evaluated for all identical intern…