Andrea Foulkes specializes in clinical biostatistics and statistical genetics. Her work includes developing methods for high-dimensional molecular and cellular data and measures of disease progression with applications in inflammatory disease, cardio-metabolic disease and HIV/AIDS.
Tim Chumley is a probabilist interested in working on models that arise in physics, engineering, and other areas. In the past, much of 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.
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 applies 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.
Evan Ray's research focuses on non-parametric and ensemble methods for time series prediction and classification. His recent work has developed these methods in the context of predicting the timing and severity of the spread of infectious diseases including influenza and dengue fever. He has also developed methods for classifying physical activity according to its type and intensity using accelerometer data.
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.
Peter Rosnick is Professor Emeritus from Greenfield Community College. He has a Bachelor Degree from Tufts University and his Ed.D from the University of Massachusetts. He has been teaching College Mathematics since 1977. In "retirement", in addition to teaching at Mt Holyoke, Dr. Rosnick continues to teach at GCC and also directs its Sustainable Agriculture and Green Energy Education Center. His avocations include bicycling, theater, cinema, and hiking and snowshoeing in search of the elusive Conway moose.
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.
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.
Rebecca Tramel studies algebraic geometry. This is the study of the geometry of objects which are built out of polynomial equations. She is particularly interested in ways in which different fields can inspire questions in one another. For example, Tramel's main area of study, Bridgeland stability conditions, started out as an idea in physics (string theory), then was translated into an idea in algebra (cohomology and category theory), and has now been used to answer classical questions in algebraic geometry.
Ashley K. Wheeler's primary work is in principal minors of a generic matrix. The topic was motivated by old questions in Invariant Theory. In her thesis, Wheeler showed that unlike the well-studied determinantal and Pfaffian ideals, principal minor ideals do not arise from rings of invariants. Rather, their structure is less organized and for the most part, mysterious. Wheeler has also recently become interested in connections between Hilbert's axioms (his modern reworking of Euclid's axioms), the classical Pappus's Theorem in projective geometry, and the Gorenstein property of rings.