Darren B. Glass

On the Moduli Space of Klein Four Covers of the Projective Line

We study the sublocus Hg,n of Mg whose points correspond to curves which are (Z/2Z) covers of the projective line. In the case that n = 2, we describe a set of irreducible components of Hg,2 and all of the intersections between these components. Unlike the case of the hyperelliptic locus Hg,1 which is well-known to be connected, we show that Hg,n is not connected when n = 2 and g ≥ 4 or when n = 3 and g ≥ 5.

Sandpiles, Spanning Trees, and Plane Duality

Let

The 2- Ranks of Hyperelliptic Curves with Extra Automorphisms

G

Communal Partitions of Integers

be a connected, loopless multigraph. The sandpile group of

Codes from Riemann-Roch spaces for y 2 = x p - x over GF(p)

G

Epsilon constants and orthogonal representations

is a finite abelian group associated to

Chutes and Ladders with Large Spinners

G

Pointless Hyperelliptic Curves

whose order is equal to the number of spanning trees in

Counting arithmetical structures on paths and cycles

G

The Joy of SET

. Holroyd et al. used a dynamical process on graphs called rotor-routing to define a simply transitive action of the sandpile group of