The focus of my research is on developing mathematics to model and analyze how behavioral patterns and species-environment interactions give rise to population-wide phenomenon. My work often occurs within the context of epidemic and invasion dynamics, and the approach I use to study each problem is highly motivated by the scientific setting. I typically utilize a diverse range of mathematical tools including scientific computing, mathematical and probabilistic modeling, agent-based modeling, network theory, dynamical systems, and Bayesian inference. A persistent goal in my research is to develop models which rigorously link to data to provide actionable, scientific insight into the systems I am studying. For this reason, collaboration and interdisciplinary research is a critical part of my work.
Current and recent projects include wind- and water-based movement of organisms under various behavioral regimes, algorithmic generation of social and technological networks, epidemic modeling of heroin and opioid addiction, the population dynamics of non-lethal tree harvesting, and the development of a savanna model that explores how savanna ecosystems are dependent upon various climatic variables and fire disturbance.
- Mathematical Biology
- Mathematical Modeling
- Complex Systems
- Population Ecology
- Computational and Applied Mathematics
- Computational/Data-Driven Mathematics
Ph.D., Colorado State University