My research interests have been in Bioinformatics, Biostatistics and Geometric Statistics.
In Biostatistics, interest comes in the form of clinical trials and longitudinal data analysis. This is reflected in my publications where the works come from data obtained in a clinical setting.
The Bioinformatic interest comes from sequencing the gut microbiome in both a human and veterinarian setting. In collaboration with the Department of Pathobiology, we are using high throughput sequencing to try and understand the changes and/or differences in the gut microbiome.
Statistical function estimation on Riemannian manifolds continue to be of interest. A related but different avenue of interest is in computational algebraic topology where the idea is the development of a statistical Morse theory based on the level sets of an estimated function from some underlying manifold. By statistically calculating the persistent homology, one can recover topological information whereby local clustering of data can be homologically recovered.