Glenn Hurlbert
Department of Mathematics and Statistics
Arizona State University

Title : "Veni, Vidi, Pebblici"

Abstract : Graph pebbling is an apparently irresistable game to many, as its rapid growth in recent years might attest to. With its roots in number theory, research in the area has touched on such diverse fields as extremal set theory, optimal networking, random graphs, computational complexity, and group theory. Without a doubt, no branch of mathematics has seen such tremendous contribution from undergraduates. In the short time we have together I will try to share a few highlights and recent developments.

Monika Nitsche
Department of Mathematics and Statistics
University of New Mexico

Title : The Trapezoid Rule with modifications, applied to bubble motion in Stokes flow.

Abstract : To begin, we will review basic properties of the trapezoid rule, how to improve it and how to apply it to singular integrals. I then present a boundary integral method to compute bubble evolution in Stokes flow. Standard procedure is to evaluate the resulting integrals using the modified trapezoid rule. I will discuss the difficulties that prevent obtaining high order results and how to resolve them.

Alejandro Aceves
Department of Mathematics and Statistics
University of New Mexico

Title : Modeling in Epidemics