My research interests are directed towards a wide variety of population genetic models and the related evolutionary dynamics and statistical inference problems.

The long-term objectives are: a) to describe and explain the level of variability in biological populations including human populations; b) to develop mathematical, statistical and computational tools to analyze genetic polymorphism and make inferences about underlying parameters or assumptions; c) to deduce general evolutionary principles that result from selection, migration, mutation, recombination and genetic drift; and d) to examine the effects of complex population structures and individual interactions.

My first research contributions in population genetics focused mainly on the dynamical analysis of frequency-dependent selection models. Let us mention in particular an early paper on global evolutionary dynamics in frequency-dependent multi-allele two-phenotype models (Theoretical Population Biology 1984) and a research monograph in collaboration with Samuel Karlin entitled Theoretical Studies on Sex Ratio Evolution (Princeton University Press 1986). Further contributions include a study on measures of relatedness in kin selection models for populations with inbreeding (Theoretical Population Biology 1992) and an interpretation of Fisher's fundamental theorem of natural selection (Theoretical Population Biology 1997).