131 citations · 651 across the 67 of their papers we have counts for
5 papers · 1 filter
The Deligne--Drinfeld conjecture after OpenAI
Thomas Willwacher
We provide a simplified and more human-friendly version of the proof of the Deligne--Drinfeld conjecture recently given by OpenAI.
The Prym-Green conjecture in even genera up to 30
Sam Payne, Thomas Willwacher
We prove the Prym-Green conjecture in every even genus from 20 to 30. The genus 24 case disproves the suggestion of Chiodo-Eisenbud-Farkas-Schreyer that the conjecture might fail i…
Polynomial point counts for moduli spaces of curves with marked points
Sam Payne, Thomas Willwacher
We prove that the number of curves of a fixed genus g with n marked points over finite fields is a polynomial function of the cardinality of the field if and only if g = 0 or 3g +…
On free generators in the Grothendieck-Teichmüller Lie Algebra
Thomas Willwacher
We prove that any homogeneous family in with nonzero coefficients of in generates a free Lie subalgebra, buildin…
The Johnson homomorphism, embedding calculus and graph complexes
Florian Naef, Thomas Willwacher
We explain how the Johnson homomorphism and the Enomoto-Satoh trace, as well as higher-loop-order generalizations, can be obtained from graph complexes originating in the Goodwilli…