Department of Mathematics
Colorado State University
Fort Collins, CO 80523
This semester I am teaching:
- Math 476 — Groups as Manifolds: An Introduction to Matrix Groups
- Math 670 — Introduction to Differential Manifolds
Please see the course pages for more information. Previous courses can be found on the teaching page.
My primary research interest is in using geometry to solve topological and physical problems. I am currently working on a long-term project which uses Riemannian and symplectic geometry to develop a new framework for understanding the probability theory of topologically constrained random walks and polymer networks. A newer but very promising project uses symplectic geometry to answer long-standing questions in frame theory and statistical signal processing. Please see the research page for more.
- Harrison Chapman (2017–2019; software engineer at Google)
- Thomas D. Eddy (M.S. 2019; data scientist at Fountain)
- Yekaterina Aimukanova
- Laney Bowden
- Andrea Haynes
- Nikita Lavrenov
- Tucker Manton
- Nikolai Sannikov
- Aaron Shukert
- Gavin Stewart
- Bogdan Vasilchenko
- April, 2021 Colin Roberts passed his Ph.D. preliminary examination. Congratulations, Colin!
- January, 2021 “Model and data reduction for data assimilation: Particle filters employing projected forecasts and data with application to a shallow water model”, by Aishah Albarakati, Marko Budišić, Rose Crocker, Juniper Glass-Klaiber, Sarah Iams, John Maclean, Noah Marshall, Colin Roberts, and Erik S. Van Vleck, posted to arXiv.
- January, 2021 “Symplectic geometry and connectivity of spaces of frames”, by Tom Needham and Clayton Shonkwiler, published in Advances in Computational Mathematics.
- January, 2021 Contributed a number of animations to the Quanta Magazine video The Riemann Hypothesis, Explained.
- December, 2020 “New computations of the superbridge index” published in the Journal of Knot Theory and Its Ramifications.