Research Interests
My research interests include phylogentics, learning Bayesian networks, contingency tables, matroid polytopes and applications of polyhedral geometry. My Ph.D. dissertation was on matroid theory and applications. However, during my postdoc at the University of Kentucky in the Department of Statistics, I have expanded my fields of study and have developed close interdisciplinary relationships with biologists and computer scientists. My projects in computational biology typically involve developing new discrete mathematical and statistical methods, or the novel application of traditional methods. Currently, at the forefront of my interest is the strengthening of phylogenetic tree reconstruction methods, statistical tests on multiple phylogenetic data, the use of polyhedral geometry in learning Bayesian networks, finite Markov basis for toric homogeneous Markov chains, species delimitation, and approximation of the number of lattice points in polytopes.
Research Statement
A copy of my research statement can be found here.