We give algebraic and geometric perspectives on our prior results toward the Putman–
Wieland conjecture. This leads to interesting new constructions of families of “origami” …

We study families of Galois covers of curves of positive genus. It is known that under a
numerical condition these families yield Shimura subvarieties generically contained in the …

Threefolds Isogenous to a Product and Product quotient Threefolds with Canonical Singularities
Page 1 Threefolds Isogenous to a Product and Product quotient Threefolds with Canonical …

We study moduli spaces of certain sextic curves with a singularity of multiplicity 3 from both
perspectives of Deligne–Mostow theory and periods of K3 surfaces. In both ways we can …

The purpose of the thesis is two-fold: to investigate the existence of totally geodesic
subvarieties of the moduli space of principally polarized abelian varieties, Ag, contained in …

In this paper, we study the holomorphic differentials of nodal curves with the action of cyclic
finite automorphism groups over the complex field. Assuming the nonempty of eigenspace …

In the 1930s Chevalley and Weil gave a formula for decomposing the canonical
representation on the space of differential forms of the Galois group of a ramified Galois …