Sean Gasiorek, Mathematics Postdoctoral Researcher
 

I am an Assistant Professor in the Mathematics Department at Cal Poly, San Luis Obispo. I recently completed my postdoctoral position at the University of Sydney working with A/Prof. Milena Radnović. I completed my Ph.D. in mathematics at the University of California Santa Cruz under the supervision of Prof. Richard Montgomery. My research is in geometry and dynamical systems, with a particular focus on billiards within confocal quadrics, magnetic variants of billiard systems, and integrable systems.
 
When I am not thinking about math, I can usually be found on a bushwalk, in a yoga class, cycling up hills, or generally outside.

Research Publications
(recent highlights)

 

  1. S. Gasiorek and M. Radnović, Periodic Trajectories and Topology of the Integrable Boltzmann System. arXiv:2307.04991 [math.DS], 2023 (to appear in Contemporary Mathematics AMS Book Series).

  2. S. Gasiorek, Linear Stability of Periodic Trajectories in Inverse Magnetic Billiards. arXiv:2106.05676 [math.DS], 2022 (under review).

  3. V. Dragović, S. Gasiorek, and M. Radnović, Integrable Billiards on a Minkowski Hyperboloid: Extremal Polynomials and Topology. Sbornik: Mathematics, Vol 213, no. 9, pp. 34-69 (2022). DOI: 10.4213/sm9662.

Research Talks and
Conference Presentations (recent highlights)

 

  1. 67th Annual Meeting of the Australian Mathematical Society, University of Queensland, Brisbane, QLD, Aus, December 7, 2023: Dynamics and Periodicity Conditions for the Integrable Boltzmann System

  2. 11th Workshop on Integrable Systems, University of Sydney, Sydney, NSW, Aus, December 1, 2023: Dynamics and Periodicity Conditions for the Integrable Boltzmann System

  3. Mathematical Billiards: at the Crossroads of Dynamics, Geometry, Analysis, and Mathematical Physics, Simons Center for Geometry and Physics, Stony Brook, NY, USA, October 30, 2023: Dynamics and Periodicity Conditions for the Integrable Boltzmann System

  4. Cal Poly Simple Group, Cal Poly Math Department, San Luis Obispo, CA, USA, October 18, 2023: Mathematical Billiards, Part I

  5. Symmetry for Group Actions in Differential Geometry, Matrix Institute, Creswick, Vic., Aus, May 25, 2022: Minkowski Billiards on the Hyperboloid of One Sheet

Teaching Highlights