3 papers
math.AG2026
Deligne's weight spectral sequence and tautological cohomology of the moduli space of curves
Jonas Bergström, Thomas Wennink
We have written a computer program that implements Deligne's pullback and pushforward weight spectral sequences to compute the weight graded pieces of the rational cohomology of mo…
math.AG2022
Reconstruction theorems for genus 2 Gromov-Witten invariants
Thomas Wennink
We use Pixton's relations to prove a reconstruction theorem for genus 2 Gromov-Witten invariants in the style of Kontsevich-Manin (genus 0) and Getzler (genus 1). We also calculate…
math.AG2017
Counting the number of trigonal curves of genus 5 over finite fields
Thomas Wennink
The trigonal curves of genus 5 can be represented by projective plane quintics that have 1 singularity of delta invariant 1. Combining this with a partial sieve method for plane cu…