Now showing items 29-35 of 35

• The Picard group of the moduli space of curves with level structures ﻿

(2012)
For 4 - L and g large, we calculate the integral Picard groups of the moduli spaces of curves and principally polarized abelian varieties with level L structures. In particular, we determine the divisibility properties of ...

(2012)
• The second rational homology group of the moduli space of curves with level structures ﻿

(2012)
Let Γ be a finite-index subgroup of the mapping class group of a closed genus g surface that contains the Torelli group. For instance, Γ can be the level L subgroup or the spin mapping class group. We show that H2(Γ;Q) ∼= Q ...
• Small generating sets for the Torelli group ﻿

(2012)
Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup Ig of the genus g mapping class group has a finite generating set whose size grows cubically with respect to g. Our main tool is a new space called ...

(1989)
• The Weil-Peterson Hessian of Length on Teichmuller Space ﻿

(2012)
We present a brief but nearly self-contained proof of a formula for the Weil-Petersson Hessian of the geodesic length of a closed curve (either simple or not simple) on a hyperbolic surface. The formula is the sum of the ...
• Wigner-von Neumann type perturbations of periodic Schrödinger operators ﻿

(2015)
Schrödinger operators on the half line. More precisely, the perturbations we consider satisfy a generalized bounded variation condition at infinity and an LP decay condition. We show that the absolutely continuous spectrum ...