Research Interests
- Applied dynamical systems
- Computational and mathematical biology
- Data science
- Dynamics of patterns and nonlinear waves
- Numerical continuation
Computational biology
In collaboration with Ritambhara Singh's lab, we work on the alignment of multi-omics data and the inference of gene-regulatory networks from single-cell RNA-sequencing data. We develop computational frameworks based on optimal-transport theory.
Mathematical biology
My lab has focused on modeling patterning and localization during the early development of organisms. With Kimberly Mowry's lab and Veronica Ciocanel's group, we developed models to understand the role played by molecular motors and anchoring in mRNA localization in Xenopus oocytes based on experimental FRAP data. With Alexandria Volkening's lab, we investigated robustness and redundancy of stripe patterning in the Danio zebrafish family using agent-based models.
Nonlinear waves
My group has studied the existence, stability, and bifurcations of nonlinear waves, ranging from one-dimensional travelling waves and source defects to planar spiral waves.
Undergraduate research
I have organized several research experiences for undergraduates as part of NSF-funded REUs or Brown-funded UTRA projects. The photo is from Summer@ICERM 2016, where 26 undergraduate researchers worked with a team of graduate students, postdocs, and 3 faculty (including me). Please take a look at my undergraduate research page for more information.