Jessica Sidman works at the intersection of algebra, geometry, and computation. In particular, she is interested in applications of computational algebraic geometry, which is a fancy way of saying that she likes seeing how to use a computer to solve problems with polynomials. Her current research is focused on using algebraic methods to analyze systems of geometric constraints that arise in rigidity theory, a subject with many applications including robotics, protein folding, and computer-aided design.
Tim Chumley is a probabilist interested in working on models that arise in physics, engineering, and other areas. In the past, much his work has focused on Markov chain models which can be generically called random billiards. His work on probabilistic limit theorems for these models aims to provide a framework for detailed study of realistic physical models of phenomena in kinetic theory of gases and classical statistical mechanics. In addition, he is interested in random walks in random media, differential geometry, and stochastic processes on manifolds.
Janice A. Gifford
Alanna Hoyer-Leitzel does research in applications of dynamical systems. Her projects include classifying relative equilibria in the n-vortex problem (configurations of swirls in fluids that maintain their shape while translating and rotating) by looking at symmetry of their structures. Her more recent work applys the ideas of bifurcation, tipping, and disturbance to modeling resilience in climate and ecosystems. Alanna's other interests include bad scifi, cross stitching, taking pictures of her cats, and riot grrl punk music.
Mark Peterson is a physics theorist who teaches in both the physics and mathematics departments. His research includes modelling fluid dynamics in biophysical settings, innovative mathematical methods for elasticity theory, and the history of physics and mathematics, especially the life and work of Galileo.
Margaret Robinson is a number theorist whose work combines analysis, algebra, and topology to understand number theoretic objects, in particular zeta functions. For Robinson, the research is addictive because objects from other areas of mathematics arise like strange outcrops revealing unexpected constituents in the rock of number theory. Tracking down and explaining why these startling connections exist is tantalizing, sometimes frustrating, but never boring.
Dylan Shepardson works on mathematical problems that are motivated by applications in other disciplines, like biology, epidemiology, sociology, or archaeology. He is especially interested in new and unusual applications of optimization theory. In most physical, biological, and economic systems, a property is being optimized (like energy or entropy in physical systems, or reproductive success in evolutionary biology), and optimization techniques offer interesting insights into these systems. Shepardson's recent projects include voting theory and its connections to combinatorial geometry, infectious disease modeling, and the problem of using collections of radiocarbon data to estimate dates of the earliest human settlements of Pacific islands.
Lindsay Woloszyn is the helpful voice you will likely connect with regarding questions about the major or events sponsored by the department. She enjoys spending time with her husband, two children, and their dog.
Alan H. Durfee
Alan Durfee specializes in topology and algebraic geometry.
James Morrow specializes in Mathematics education.
Harriet Pollatsek specializes in finite groups and finite geometries, difference sets, and quantum error correction.