Modeling Sea Ice
I have been lucky enough to be able to combine my concerns about climate change with my love for math. I work with many different researchers at the University of Utah on various mathematical problems regarding Arctic sea ice, specifically with homogenization theory, statistical mechanics, topological data analysis, and numerical analysis.
Topological Data Analysis
I am interested in the ways that topological data analysis (TDA) may be used to discover persistent features of important aspects of sea ice on various spatial scales. While this project is in its most nascent stages, I am excited to begin investigating this potential application of TDA. My collaborators for this project include Daniel Hallman, Wesley Hamilton, and Ken Golden.
Surface Topography and Albedo
As total multi-year ice continues to decline, it seems pertinent to investigate the relationship between surfaces of varying complexity and their albedos. We are interested in analyzing this relationship over time by leveraging established mathematical frameworks. My collaborators include David Gluckman and Ken Golden. Stay tuned for a paper coming 2023!
Effective Thermal Conductivity
Sea ice is a complex composite material, through which convective fluid flow can enhance thermal transport. In this project, we are interested in establishing improved bounds on the effective thermal conductivity of sea ice through analytic methods. My collaborators for this project include Noa Kraitzman, Huy Dinh, Benjamin Murphy, Elena Cherkaev, Jingyi Zhu, and Ken Golden. Stay tuned for a paper coming 2023!