I am a PhD candidate in the Mathematics Department at the University of British Columbia (UBC). My academic advisors are Michael Ward and Juncheng Wei. I completed a MSc in Mathematics at UBC in 2014 under the joint supervision of Anthony Peirce and Michael Ward. Prior to this I completed undergraduate degrees in Engineering Physics (BE) and Mathematical Physics (BSc) at the University of Saskatchewan.

I am primarily interested in the application of asymptotic and singular perturbation techniques to the analysis of pattern forming systems. Recently this has taken the form of studying the structure and stability properties of strongly localized solutions to bulk-membrane coupled reaction diffusion equations.

- The stability and dynamics of localized spot patterns for a bulk-membrane coupled Brusselator model.
- (with L. Mei and J. Wei) Hopf bifurcations from spike solutions for the weak coupling Gierer-Meinhardt system.

- (with M.J. Ward and J. Wei) The linear stability of symmetric spike patterns for a bulk-membrane coupled Gierer-Meinhardt model. SIAM J. Appl. Dyn. Syst. 18 (2019), no.2, 729-768.
- (with L. Mei and J. Wei) Stable and unstable periodic spiky solutions for the Gray-Scott system and the Schnakenberg system. J. Dyn. Diff. Eqns. accepted for publication.
- (with K. Colville and J. Szmigielski) On isospectral deformations of an inhomogeneous string. Comm. Math. Physics 348 (2016) no.3: 771-802.
- (with A.F. Cheviakov) Asymptotic analysis of narrow escape problems in nonspherical three-dimensional domains. Phys. Rev. E. (2015) 91: 1-12.
- (with H. Lundmark and J. Szmigielski) Canada Day Theorem. E. JC. (2013) 20: 1-16.

- MATH 110: Differential Calculus (2018 Term 1)