Kaitlin Hill, Ph.D.

Kaitlin Hill, Ph.D., is an applied mathematician with research interests in applied dynamical systems and mathematical modeling. Hill joined St. Mary’s University in 2022. Prior to joining St. Mary’s, Hill was a Teacher-Scholar Postdoctoral Fellow at Wake Forest University and a MathCEP Postdoctoral Assistant Professor at the University of Minnesota.

Hill is interested in understanding the dynamics of mathematical models in ways that can lend insight into both their scientific application and mathematical theory. ​Hill uses tools from dynamical systems, variational calculus and stochastic processes to understand bifurcation and tipping behavior in systems of differential equations (ODEs, SDEs and PDEs). Frequently the systems Hill works with are piecewise-smooth, which often leads to fascinating mathematical consequences.

Hill also works with conceptual models of geophysical and social systems, including models of Arctic sea ice and gender dynamics in professional settings and is generally interested in models that can lend insight into issues of climate change or equity. Students are highly encouraged to reach out if interested in learning more about research in mathematical modeling or dynamical systems. Previous work with students has ranged broadly within applied mathematics and statistics, from a differential equation model for permafrost methane release to hypothesis testing on ground-level ozone levels and survival estimation for cancer.