William N. Traves

activity

20022022

most citedRepresentations of finite groups on Riemann-Roch spaces

6 citations · 6 across the 6 of their papers we have counts for

collaborators

8 papers

math.AC2022

Geometric aspects of the Jacobian of a hyperplane arrangement

Michael DiPasquale, Jessica Sidman, Will Traves

An embedding of the complete bipartite graph $K_{3, 3}$ in $P^{2}$ gives rise to both a line arrangement and a bar-and-joint framework. For a generic placement of the six ver…

math.AG2021

Ten Points on a Cubic

Will Traves, David Wehlau

The 16-year old Blaise Pascal found a way to determine if 6 points lie on a conic using a straightedge. Nearly 400 years later, we develop a method that uses a straightedge to chec…

math.AG2019

Geometric Equations for Matroid Varieties

Jessica Sidman, Will Traves, Ashley Wheeler

Each point $x$ in Gr $(r, n)$ corresponds to an $r \times n$ matrix $A_{x}$ which gives rise to a matroid $M_{x}$ on its columns. Gel'fand, Goresky, MacPherson, and Serganova showed that…

math.AG2014

The Enumerative Geometry of Hyperplane Arrangements

Thomas Paul, Will Traves, Max Wakefield

We study enumerative questions on the moduli space $M (L)$ of hyperplane arrangements with a given intersection lattice $L$ . Mnëv's universality theorem suggests that thes…

math.AG2011

Generalizing the Converse to Pascal's Theorem via Hyperplane Arrangements and the Cayley-Bacharach Theorem

Will Traves

Using a new point of view inspired by hyperplane arrangements, we generalize the converse to Pascal's Theorem, sometimes called the Braikenridge-Maclaurin Theorem. In particular, w…

math.AG2009

A componentwise version of Terao's conjecture

William N. Traves, Max Wakefield

This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.