Research Talks and Conference Presentations

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

6. Nijenhuis Geometry and Integrable Systems, Matrix Institute, Creswick, Vic., Aus, February 14, 2022: A Tale of Two (Integrable?) Billiards

7. 65th Annual Conference of the Australian Mathematical Society, University of Newcastle, Newcastle, NSW, Aus., December 9, 2021: Minkowski Billiards on the Hyperboloid of One Sheet

8. 65th Annual Conference of the Australian Mathematical Society, University of Newcastle, Newcastle, NSW, Aus., December 8, 2021: Linear Stability of Periodic Trajectories in Inverse Magnetic Billiards

9. Differential Geometry, Billiards, and Geometric Optics (Online), CIRM Luminy, Fr., October 7, 2021: Inverse Magnetic Billiards: Periodic Orbits and Stability (poster)

10. SIAM Conference on Applications of Dynamical Systems (Online), Portland, OR USA, May 26, 2021: Linear Stability of Periodic Trajectories in Inverse Magnetic Billiards.

11. Mechanics Seminar, Mathematical Institute of the Serbian Academy of Sciences and Arts (Online), Belgrade, Ser., May 19, 2021: Minkowski Billiards on the Hyperboloid of One Sheet.

12. Sydney Dynamics Group Workshop, Jervis Bay, NSW, Aus., November 26, 2020: Open Problems in Magnetism and Billiards.

13. UNSW Applied Maths Seminar (Online), Sydney, NSW, Aus., July 9, 2020: Minkowski Billiards on the Hyperboloid of One Sheet

14. UNSW Pure Maths Seminar (Online), Sydney, NSW Aus., June 16, 2020: Playing Billiards with π

15. UC Santa Cruz Geometry and Analysis Seminar (Online), Santa Cruz, CA, May 29, 2020: Minkowski Billiards on the Hyperboloid of One Sheet

16. Sydney Dynamics Group (Online), Sydney, NSW Aus., April 24, 2020: Magnetic Variants of Billiard Systems

17. Joint Math Meetings AMS Contributed Paper Session on Dynamical Systems and Ergodic Theory, Denver, CO, January 17, 2020: Inverse Magnetic Billiards: A Survey

18. Joint Math Meetings AMS Special Session on Hamiltonian Systems, Denver, CO, January 15, 2020: Counting Billiard Collisions Using Angles Between Subspaces

19. 63rd Annual Conference of the Australian Mathematical Society, Monash University, Melbourne, Aus., December 5, 2019: On the Dynamics of Inverse Magnetic Billiards

20. SIAM Conference on Applications of Dynamical Systems – DS19, Snowbird, UT, May 21, 2019: Billiards Inside, Circles Outside: Dynamics of a Charged Particle in a Piecewise-Constant Magnetic Field

21. AMS Western Sectional Meeting, Invited Speaker, AMS Special Session on Geometric Approaches to Mechanics and Control, Honolulu, HI, March 23, 2019: On the Dynamics of Inverse Magnetic Billiards

22. Joint Math Meetings, Baltimore, MD, January 16, 2019: Billiards Inside, Circles Outside: Dynamics of a Charged Particle in a Piecewise Constant Magnetic Field

23. AMS Fall Western Sectional Meeting, San Francisco, CA, October 27, 2018: Billiards Inside, Circles Outside: Charged Particles in a Piecewise Constant Magnetic Field

24. MAA Southern California-Nevada Fall Section Meeting, Cal Poly San Luis Obispo, November 15, 2015: Osculating Curves and the Tait-Kneser Theorem

25. College of Science and Mathematics Student Research Conference, San Luis Obispo, CA, May 25, 2011: Hereditary Matrices | View presentation slides

26. College of Science and Mathematics Student Research Conference, San Luis Obispo, CA, May 20, 2009: The Kakeya Needle Problem | View presentation slides

Outreach Talks

1. Monterey Bay Area Math Teachers’ Circle, Santa Cruz, CA, February 12, 2019: How Many Squares are in a Lattice?

2. Monterey Bay Area Math Teachers’ Circle, Santa Cruz, CA, April 10, 2018: A Four Numbers Game

3. Monterey Bay Area Math Teachers’ Circle, Santa Cruz, CA, October 10 & November 14, 2017: Finite Geometries — Infinite Fun! (Parts 1 and 2)

4. UC Santa Cruz Mathematics Department Undergraduate Colloquium, UC Santa Cruz, March 2, 2017: The Mathematics of Doodling

5. Monterey Bay Area Math Teachers’ Circle, Santa Cruz, CA, December 8, 2016: The Mathematics of Doodling

6. UC Santa Cruz Mathematics Department Undergraduate Colloquium, UC Santa Cruz, November 2 & 30, 2016: The ABC’s of the ABC Conjecture (Parts 1 and 2)

7. Monterey Bay Area Math Teachers’ Circle, Santa Cruz, CA, November 10, 2016: An Exploration of Area: Pick’s Theorem and More

8. Monterey Bay Area Mathematics Project Winter Math Conference: Leveraging the Power of Technology, UC Santa Cruz, February 27, 2016: GeoGebra in the Classroom