Tipping is the rapid, and often irreversible, change in the state of a system [1]. Such occurrences of abrupt change have primarily been found and analyzed in physical systems, including climate systems, such as Amazon rainforest dieback and permafrost loss [2], as well as ecological systems, such as plant–pollinator relationships [3]. The mathematics of tipping provides a wealth of interesting and challenging problems. In my doctoral work, I developed tools for rate-induced tipping, noise-induced tipping, and their interaction. My current research interests lie in analyzing and developing mathematical models of phenomena in climate systems susceptible to tipping, such as El Nino, North Atlantic hurricanes, and the carbon cycle.
I am particularly interested in redeveloping and adapting the theory and computational tools from tipping in climate systems to application in social systems. During my postdoctoral fellowship, I had the opportunity to work with opinion dynamics modeling. I plan to extend this work into the realm of tipping.
I am passionate about mentoring and advising undergraduate students and will lead an active research program in which students can participate at different levels in their studies. A novelty of my research is that all of my projects have both theoretical and computational components for students to interact with, building their foundational mathematics as well as their technical skills. Additionally, I actively seek appropriate conference opportunities for students to allow practice for advanced mathematical discourse and presentation.
References:
I am particularly interested in redeveloping and adapting the theory and computational tools from tipping in climate systems to application in social systems. During my postdoctoral fellowship, I had the opportunity to work with opinion dynamics modeling. I plan to extend this work into the realm of tipping.
I am passionate about mentoring and advising undergraduate students and will lead an active research program in which students can participate at different levels in their studies. A novelty of my research is that all of my projects have both theoretical and computational components for students to interact with, building their foundational mathematics as well as their technical skills. Additionally, I actively seek appropriate conference opportunities for students to allow practice for advanced mathematical discourse and presentation.
References:
- [1] Ashwin, P., Perryman, C., and Wieczorek, S. (2017). Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping. Nonlinearity, 30(6):2185–2210.
- [2] Lenton, T. M. (2011). Early warning of climate tipping points. 1(4).
- [3] Moore, J. C. (2018). Predicting tipping points in complex environmental systems. Proceedings of the National Academy of Sciences, 115(4):635–636.
