My graduate research is in the field of applied PDE. I am working on a model of the Earth's magnetic field. Some questions I think about are well-posedness, stationary distributions, limiting regimes, and energy cascades.
Other Research
I enjoy mathematical modeling and designing/coding algorithms to solve problems in other fields.- K. Manogue, T. M. Schang, D. Kuş, J. Müller, S. Zachow, and A. Sengupta, “Generalizing Shape-from-Template to Topological Changes,” Nov. 05, 2025, doi: 10.48550/arXiv.2511.03459. [link]
- J. H. Hubbard, A. Rafiqi, and T. Schang, “Creating pseudo-Anosov Maps from Permutations and Matrices,” Aug. 28, 2024, doi: 10.48550/arXiv.1902.07440. [link]