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Exploration of world problems through the lens of mathematical modeling.
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Whether you are interested in the topics mentioned above or want to explore a different area of mathematical modeling, please reach out.
See the Contact Page for more details, or use the email link below.
Looking for undergraduate researchers at Scripps College and the Claremont Colleges.
I am an applied mathematician who focuses on mathematical biological questions and analysis. Two main areas of my research are invasive species control and epidemiological modeling. The models are formulated using difference equations, ordinary differential equations, continuous time Markov chains, or stochastic differential equations to characterize interactions between populations. I use a variety of different mathematical and computational tools to perform analysis on the models. In most problems I strive to understand the dynamics and gain insight to manage the populations.
Control Theory Applied to Invasive Species
Control Theory Applied to Invasive Species
To formulate management strategies for dealing with invasive species I use techniques from control theory, including optimal and adaptive control.
Deterministic and Stochastic Models for Epidemiology
Deterministic and Stochastic Models for Epidemiology
When developing models for a variety of infectious diseases, I utilize deterministic and stochastic dynamics along with heterogeneous populations.
Variety of Mathematical Models and Applications
Variety of Mathematical Models and Applications
Additionally, I am a part of various projects based on immunology, elephants, federalism, and other applications using techniques from mathematics, statistics, and data science.
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