I am currently a National Research Council (NRC) Fellow in the Applied and Computational Mathematics Division at the National Institute of Standards and Technology (NIST), under the mentorship of Anthony Kearsley. I received my PhD at Brown in the Division of Applied Mathematics, under the supervision of Govind Menon.
For research, I’m mostly interested in questions of applied probability and analysis. My major research goal is to explain, on a rigorous level, the role of topology and randomness in biology and material science at multiple scales. For finding effective behavior, this often involves using various limit theorems of SDEs. Simulation also plays an important role for conjectures (and sanity checks!).
Some areas that I find particularly interesting are
- High dimensional particle systems and kinetic theory
- Stochastic switching and renewal theory limits applied to SDEs
- Stochastic processes with networks as either the state space or elements of the state space
So far, I’ve worked on problems in microbiology, material science, and neural networks, but I’m always interested in hearing about how stochasticity can be applied to science, regardless of the discipline.
For more details, please visit my research page for more information on my previous and current work.