Faculty Research Interests
The mathematics, computer science, and statistics faculty at St. Lawrence represent an array of research interests. The list below offers a brief summary of these research areas; please consult individual home pages via the faculty directory or the links below for more information.
Jim DeFranza: My mathematical research areas lie in functional analysis, sequence spaces, and classical summability theory. I've also recently published a new text in Linear Algebra.
Dante Giarrusso: Current research interests include history of algebraic geometry and differential equations on surfaces.
Ed Harcourt: My current research is related to SystemC, a C++ library used for system simulation at higher levels of abstraction. I've also been dabbling with some bioinformatics related problems with Lorraine Olendzenski using our Linux Cluster.
Claus Koestler: My research on noncommutative probability is guided from quantum physics and combines various techniques from functional analysis, probability theory & stochastic processes, and dynamical systems & ergodic theory. The present focus of my work is on the investigation of "noncommutative independence and factorizability." A goal of my work is to contribute to the rapidly evolving applications of quantum information, quantum optics and quantum statistical physics.
Patti Frazer Lock: My current research interests lie in graph theory, math modeling, and mathematics education. I’ve co-authored texts on Calculus, Multivariable Calculus, PreCalculus, Applied Calculus, and Algebra, and I'm currently working on a text for Mathematics in Biology. Recent student research projects include social network analysis, modeling of the environment, and modeling the spread of disease.
Robin Lock: I am interested in statistics education and the applications of statistics in sports. Please check out my current webpage for active projects.
Duncan Melville: My research interests include Lie algebras, especially: Kac-Moody algebras, Borcherds algebras, and Quantum deformations. Also I maintain a reserach interest and webpage on Mesopotamian Mathematics.
Michael Schuckers: My research interests are in the area of applied statistics. One current focus of that research is in the evaluation of how biometric identification systems such as fingerprint devices or iris recognition systems perform. For work in this area, please see my project page for more information. I also regularly collaborate with researchers across a broad range of disciplines including psychologists, biologists, economists and coaches.
Richard Sharp: Recently my research has focused on the simulation of light scattering to generate realistic images of stone and human skin. I'm also been involved in some bioinformatics related problems here on campus. If you're a student whose interested in undergraduate computer science research, stop by and see me. You might also take a look at my publication page.
Sam Vandervelde: I am inclined towards number theory, graph theory, combinatorics, and Euclidean geometry. Current research projects include work on arithmetic graph sums and new partition identities, while my dissertation focused on Mahler measure. More details are located on my home page.
