Research Interests:

Human genetics, population biology, biomedical imaging, computational statistics, and applied stochastic processes.

In human genetics I have worked on problems of linkage mapping, risk prediction in genetic counseling, genetic epidemiology, and forensic uses of DNA fingerprinting. These areas tie in well with my interests in computational statistics since many of my contributions revolve around computation of complex probabilities on human pedigrees. In the past few years, some of the quantitative issues surrounding gene mapping strategies such as radiation hybrids, sperm typing, and haplotype mapping have also attracted my attention. In population biology I have investigated models in population genetics, methods for reconstructing evolutionary trees, stochastic versions of stable demographic theory, models for the dispersal of insect species, and models for the growth of microorganims in chemostats. My interests in biomedical imaging involve statistically based reconstruction techniques for emission and transmission tomography. As a teacher, I have offered courses on stochastic models in biology, applications of Fourier analysis, and theoretical genetic modeling, all of which are relevant to students in computational biology and bioinformatics.