The tautological Chow ring of the moduli space $\mathcal {A} _g $ of principally polarized
abelian varieties of dimension $ g $ was defined and calculated by van der Geer in 1999. By …

Borel-Serre proved that the integral symplectic group $\operatorname {Sp} _ {2n}(\mathbb
{Z}) $ is a virtual duality group of dimension $ n^ 2$ and that the symplectic Steinberg …

We determine the rational class and Picard groups of the moduli space of stable logarithmic
maps in genus zero, with target projective space relative a hyperplane. For the class group …

For $ g\ge 2$ and $ n\ge 0$, let $\mathcal {H} _ {g, n}\subset\mathcal {M} _ {g, n} $ denote
the complex moduli stack of $ n $-marked smooth hyperelliptic curves of genus $ g $. A …

We study a closed differential form on the symmetric space of positive definite matrices,
which is defined using the Pfaffian and is $\mathsf {GL} _ {2n}(\mathbb {Z}) $ invariant up to …

Abstract For $ g\ge 2$ and $ n\ge 0$, let $\mathcal {H} _ {g, n}\subset\mathcal {M} _ {g, n} $
denote the complex moduli stack of n-marked smooth hyperelliptic curves of genus g. A …

We generalize Forman's discrete Morse theory to the context of symmetric $\Delta $-
complexes. As an application, we prove that the coloop subcomplex of the link of the origin …

Generalized strata of meromorphic differentials are loci in the usual strata of differentials,
where certain sets of residues sum up to zero. They appear naturally in the boundary of the …

We compute the canonical integrals associated to wheel graphs, and prove that they are
proportional to odd zeta values. From this we deduce that wheel classes define explicit non …

We describe a bigraded cocommutative Hopf algebra structure on the weight zero compactly
supported rational cohomology of the moduli space of principally polarized abelian varieties …