**Office Hours: **N/A

**Class Schedule: **No Classes Spring/Summer 2023

**Research Interests: **Dynamical Systems, especially Celestial Mechanics and Algebraic Dynamics

**Degrees: **University of Victoria, BS in Mathematics (1991), MS in Mathematics (1993), Queen’s University, PhD in Mathematics (1997)

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**Prizes and Awards:**

- Distinguished Teaching Award, Department of Mathematics, August 2013

**Publications:**

- Asymptotic Values, Prepoles, and Periodic Points (with Jared Whitehead), International Journal of Bifurcation and Chaos, Vol. 20, No. 4 (2010), 1049-1059.
- Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem (with Tiancheng Ouyang, Duokui Yan, Skyler Simmons, and Gareth Roberts), Celestial Mechanics and Dynamical Astronomy, Vol. 108, No. 2 (2010), 147-164.
- Existence and Stability of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem (with Tiancheng Ouyang, Duokui Yan, and Skyler Simmons), Celestial Mechanics and Dynamical Astronomy, Vol. 110, No. 3 (2011), pp 271-290.
- A Profinite Group Invariant for Hyperbolic Toral Automorphisms (with Pedro Martins Rodrigues), Discrete and Continuous Dynamical Systems A, Vol. 36 No. 6 (2012) pp. 1965-1976.
- Linear Stability Analysis of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem (with Scott C. Mancuso and Skyler Simmons), Journal of Mathematical Analysis and Applications 392 (2012) pp. 136-147.
- Errata to: Existence and Stability of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem (with Tiancheng Ouyang, Duokui Yan, and Skyler Simmons), Celestial Mechanics and Dynamical Astronomy Vol. 112, No. 4 (2012), pp. 459-460.
- The Katok-Spatzier Conjecture, Generalized Symmetries, and Equilibrium-Free Flows, Communications on Pure and Applied Analysis, Vol. 12, No. 3 (2013), pp. 1183-2000.
- Understanding the Dynamics of Collisions and Near-Collision Motions in the N-Body Problem, in Advances in Interdisciplinary Mathematical Research, Springer Proceedings in Mathematics & Statistics Vol. 37 (2013), pp 99-116.
- Open Sets of Diffeomorphisms with Trivial Centralizer in the C^1 Topology (with Todd Fisher), Nonlinearity 27 (2014) 2869-2885
- Stability of the Rhomboidal Symmetric-Mass Orbit (with Skyler Simmons), Discrete and Continuous Dynamical Systems A, Vol. 35, No. 1 (2015) 1-23
- A Separating Surface for Sitnikov-like n+1 Body Problems (with Skyler Simmons), Journal of Differential Equations Vol. 258 (2015), 3063-3087.