Dr. Michael Cortez

Dr. Michael Cortez
Stem Field
Biological Science
Title of Research
Developing mathematical models in epidemiology, ecology, and evolution
Description of Research Area

I am generally interested in collaborating with researchers on the development of new mathematical theory that answers questions at the intersection of epidemiology, ecology, and evolution. Two possible areas include (i) the eco-evolutionary dynamics of host-pathogen systems and (ii) comparing the effects of evolution and phenotypic plasticity on population-level dynamics. The former focuses on how rapid evolution of pathogens and their hosts affects host-pathogen coexistence and outbreak patterns. The latter focuses on comparing how genetic and plastic adaptation similarly and differently influence species coexistence and population dynamics in ecological communities. Both of these projects are part of larger collaborations with empiricists. The research in my group involves developing and analyzing mathematical models both tailored to specific empirical systems and general in structure. Model analysis includes a combination of analytical techniques and numerical simulations. We also use statistical techniques to fit models to empirical data sets (e.g., time series of population abundances or infected prevalences). The ultimate goal of our work is to use the models to help explain and predict patterns observed across many empirical systems.

Special Research & Career Skills

I provide training in (i) advanced analytical and computational techniques for analyzing mathematical models; (ii) oral presentation skills, particularly in how to communicate theory to non-theoretical audiences; and (iii) time management and other necessary skills for success.