Mathematical Biology is a very diverse group, both in the biological systems studied and in mathematics used to study these systems. Biological applications include population dynamics, epidemiology of infectious diseases, biochemical networks, and systems biology. Continuous- and discrete-time models, and even models on time scales, are used to study these problems, along with techniques from computational algebra, graph theory, dynamical systems, optimization, stochastic processes, numerical analysis, and statistics.

- M. Macauley: discrete dynamical systems, Coxeter groups, graph theory, geometric combinatorics, discrete modeling in epidemiology, structure of complex networks