Current work concerns the analysis of stochastic search in the presence of dynamic redundancy and mortality (with Aanjaneya Kumar), resource accumulation by stochastic searchers from a queuing theoretic perspective (with Paul Bressloff), and active particles under stochastic resetting (with Paul Bressloff, also with José Giral-Barajas). In graduate school I focused on characterizing the asymptotic behavior of stochastic search processes with redundancy and stochastic resetting.
Keywords: first passage times, cover times, splitting probabilities, stochastic resetting, redundancy, queuing theory, active matter
with Sean D Lawley, Bhargav R Karamched, Zachary P Kilpatrick, and Krešimir Josić published in Physical Review E
with Sean D Lawley published in Journal of Physics A: Mathematical and Theoretical
with Sean D Lawley published in
Physical Review E
with Sean D Lawley published in Journal of Physics A: Mathematical and Theoretical
Before becoming a mathematician I was a bioengineer and worked on a few different projects; see below.
with Mathew L Rynes, Daniel A Surinach, Michael Laroque, Vijay Rajendran, Judith Dominguez, Orestes Hadjistamoulou, Zahra S Navabi, Leila Ghanbari, Gregory W Johnson, Mojtaba Nazari, Majid H Mohajerani, and Suhasa B Kodandaramaiah published in Nature Methods
with Mathew L Rynes, Leila Ghanbari, Daniel Sousa Schulman, Michael Laroque, Judith Dominguez, Zahra S Navabi, Peter Sherman, and Suhasa B Kodandaramaiah published in Nature Protocols
with William S Boyle, Weili Chen, Astrid Rodriguez, Jakub Tolar, Karen Lozano, and Theresa M Reineke published in ACS Applied Bio Materials