T. Willwacher

activity

20242026

collaborators

11 papers

math.QA2026

On free generators in the Grothendieck-Teichmüller Lie Algebra

Thomas Willwacher

We prove that any homogeneous family $σ_{3}, σ_{5}, \dots$ in $grt_{1} (K)$ with nonzero coefficients of $x^{2 k} y$ in $σ_{2 k + 1}$ generates a free Lie subalgebra, buildin…

math.AG2026

Moduli spaces of curves with polynomial point counts

Samir Canning, Hannah Larson, Sam Payne +1

We prove that the number of curves of a fixed genus g over finite fields is a polynomial function of the size of the field if and only if g is at most 8. Furthermore, we determine…

math.QA2026

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…

math.QA2025

Real models for the framed little $n$ -disks operads

Anton Khoroshkin, Thomas Willwacher

We study the action of the orthogonal group on the little $n$ -disks operads. As an application we provide small models (over the reals) for the framed little $n$ -disks operads. It…

math.AG2025

FA-modules of holomorphic forms on $M_{g, n}$

Samir Canning, Hannah Larson, Sam Payne +1

For fixed genus g and varying finite marking set A, the gluing and forgetful maps give the spaces of holomorphic forms on the moduli space of stable A-marked curves of genus g has…

math.QA2025

Numerical computation of linearized KV and the Deligne-Drinfeld and Broadhurst-Kreimer conjectures