Current Students

I work with Marcus Roper to study small scale fluid flow applied to biological systems. More specifically, I use a combination of asymptotic and numerical methods to study fluid flow problems in microfluidic devices and blood flow.

My research interests center around mathematical modeling in neuroscience. I am working with Professor Van Savage on building a unifying biophysical model to understand how nerve cell structure, morphology, and branching patterns relate to their various functional roles in the brain and body. This model illustrates how the tradeoff between different functional roles leads to the diversity of structural properties observed across cell types. I am analyzing 3D image data of neurons and glial cells from species ranging in size from insects and rodents to elephants and whales, extracting quantitative morphological properties and comparing empirical results to theoretical predictions to validate the model. I am currently working on refining my original model to include details that more accurately represent essential properties of biological neurons.

I am interested in problems that lie at the interface of mathematics, statistics and biology. Specifically, my research is focused on understanding the tempo and mode of adaptation in natural populations. I work with Dr. Nandita Garud using statistics and computational population genomics to detect signatures of positive selection in genomic data.

I'm interested in mathematical modeling of molecular biophysics phenomena and inference of dynamics from large datasets.

I am interested in the intersection of computational methods and genomics, particularly in the area of disease subtyping and understanding the genetic basis for differentiated clinical outcomes including survival, comorbidities, and responses to treatment. My background is in applied mathematics and software development for clinical oncology, and I hope to be able to bring these areas together in my future research.

I am interested in applying mathematics (differential equations, numerical methods, machine learning algorithms) to better understand biological processes such as immunological and endocrine responses to hormone dysregulation. I am currently working under the supervision of Professor Joe DiStefano III to mathematically model autoimmune diseases of the thyroid such as Graves’ Disease and Hashimoto’s Disease.

I work with Prof. Marc Suchard on large-scale observational studies. I study statistical computing on GLMs for harnessing large-scale observational health data.