Computational Biology, Infectious disease modeling, Population Dynamics
Numerical Methods for Nonlinear PDEs, Scientific Computing
I am an Applied Mathematician working in mathematical biology and have particular interests in the mathematical modeling of infectious diseases, computational epidemiology, dynamical systems, and numerical methods for PDEs.
I believe that epidemic modeling can foster knowledge of the disease transmission dynamics, forecast the spread, and optimize mitigation efforts. For these models to be useful, they must
(1) have a solid mathematical formulation from realistic biology and
(2) be solved accurately using numerical methods.
These two themes are the core of my studies. I develop computational tools that advance the fields in both mathematics and biology.