## Dr. John Carter

Mathematics Department

Seattle University

901 12th Ave

Seattle, WA 98122

Phone: 206-296-5956

E-mail: carterj1@seattleu.edu

John Carter earned a doctoral degree in applied mathematics from the University of Colorado at Boulder in 2001. He joined the Mathematics Department at Seattle University in September 2001 where he teaches, directs undergraduate research projects and conducts research in the field of nonlinear waves. His research interests include stability analysis, fast numerical methods for nonlinear evolution equations and mathematical physics. Currently, Dr. Carter is most interested in mathematical models of surface water waves.

**Mathematical Models of Water Waves**

Since the dawn of time, humans have been fascinated by waves on water. Waves affect most of earth’s weather, life in coastal communities, oceanic shipping, and waterfront erosion. A better understanding of how waves evolve over large time scales will lead to more accurate weather prediction, will help to reduce waterfront erosion, and will help the U.S. Navy build a “floating island” base. In this talk, I will present a history of mathematical models of water waves along with recent results from wave research (both experimental and mathematical).

This presentation is accessible to most undergraduate students and can be adjusted to the audience.

**Mathematical Stability**

Mathematical models of complicated structures or machines are often created in order to gain a better understanding of the feasibility of such objects before they are built. One property of special importance is stability. In this talk, I will introduce the some of the basic concepts behind mathematical stability along with a number of real-world examples in which stability plays an important role.

This presentation is accessible to most undergraduate students and can be adjusted to the audience.