The following faculty members have research interests in Algebra, Combinatorics, and Number Theory. Details about each persons research, publications and information about thesis topics can be found on each person’s home page.
My research interests are in the field of algebraic number theory, and more specifically, arithmetic dynamics. The main focus of my research is studying how the absolute Galois group of a field acts on pre-images of a point under iterates of a rational function. This area has many nice applications to number theory and dynamics.
My research interests include pure & applied harmonic analysis, data analysis, frame theory (in particular algebraic, geometric, and combinatorial methods in frame theory), and signal and image processing.
My research is on efficient algorithms for combinatorial problems. I am especially interested in recursive decompositions of arbitrary graphs and digraphs, algorithms for classes of graphs that are subclasses of the class of perfect graphs, and classes of graphs that have geometric representations.