Jacob B. Madrid

Jacob B. Madrid

Assistant Research Professor

About Me

I am a Phillip Griffiths Assistant Research Professor in the Department of Mathematics at Duke University. I earned my Ph.D. in Mathematics at the University of Utah in May 2023 under the supervision of Dr. Sean Lawley. My research interests include mathematical biology, stochastic processes, asymptotic methods, and probability theory. In particular, I study the limitations of mean field approximations, extreme first passage times, and stochastic extinction in population models.

Publications

  1. JB Madrid, JP Keener, SD Lawley. The role of stochasticity in quantifying the safety and efficacy of CAR T-cell cancer treatments. In preparation.
  2. JB Madrid, SD Lawley. Competition between slow and fast regimes for extreme first passage times of diffusion. Journal of Physics A: Mathematical and Theoretical, 53(33), 2020. (arXiv:2004.05414)
  3. SD Lawley, JB Madrid. A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3. Journal of Nonlinear Science, 2020. (arXiv:1907.07515)
  4. SD Lawley, JB Madrid. First passage time distribution of multiple impatient particles with reversible binding. Journal of Chemical Physics, 150(21), 2019. Promoted as ‘Editor’s pick’ featured article.