10 citations · 31 across the 22 of their papers we have counts for
32 papers
The fifteenth cohomology group of moduli spaces of stable curves
Amy Bradford, Aitor Iribar López, Andreas Kretschmer +1
The new framework of semi-tautological extensions has allowed for explicit understanding of low-degree odd cohomology groups of moduli spaces of stable curves. Let $S^*_ω(\overline…
The Gorenstein property and Pixton's conjecture for compact type moduli
Samir Canning, Hannah Larson, Johannes Schmitt
We show that the tautological ring of is not Gorenstein for and . We prove new cases of Pixton's conjecture that the -sp…
An introduction to the intersection theory of the moduli space of curves
Hannah Larson
We introduce the intersection theory of the moduli space of curves and its tautological ring. We survey open questions about the tautological ring and sketch techniques for proving…
Chow rings, cohomology rings, and point counts of moduli spaces of curves
Hannah Larson
In this expository article, we present on state-of-the art results regarding three closely related invariants of moduli spaces of curves: their Chow rings, cohomology rings, and po…
Independence of tautological classes and cohomological stability for strata of differentials
Dawei Chen, Hannah Larson
The tautological rings of strata of differentials are known to be generated by divisor classes. In this paper, we give lower bounds on the degrees of relations among them, dependin…
Extensions of tautological rings and motivic structures in the cohomology of
Samir Canning, Hannah Larson, Sam Payne
We study collections of subrings of that are closed under the tautological operations that map cohomology classes on moduli spaces of smaller di…