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

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7 papers · 1 filter

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This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4).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

math.AG2008

Automorphism groups of generalized Reed-Solomon codes

David Joyner, Amy Ksir, Will Traves

We look at AG codes associated to the projective line, re-examining the problem of determining their automorphism groups (originally investigated by Duer in 1987 using combinatoria…