Joseph Geisz: Mathematical Research

I think of myself as an applied mathematician, but like to borrow tools from pure mathematics to learn more about the world. I currently work with Dr. Clayton Shonkwiler learning about "stick knots" which can be used as models of ring polymers. In the past I used sheaf laplicans as a tool for analyzing dynamical systems, in particular to model flocking. Additionally I contributed to work analyzing synthetic aperature radar (SAR). In my masters thesis I analyzed 3D fractals using persistent homology.

• CSU Fort Collins: PhD in progress
• Current PhD Reseach: Some Questions about Stick Knots
• Radar: How Doppler Information Contributes to SAR Wavenumbers
• TAG-DS conference paper: A Model of Flocking Using Sheaves
• Sandia National Labs Internship
• SAND report: Applications of Artificial Intelligence to Radar
• CU Boulder
• Masters Thesis (Advised by Dr. Jim Meiss): A 3D Extension of the Sierpinski Relatives and an Analysis of their Persistent Homology

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