I am a postdoctoral fellow in mathematics at University of Toronto, mentored by Adrian Nachman and Fabio Pusateri.

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PGP key

Research interests

Dispersive PDEs, harmonic and microlocal analysis

Papers and preprints

Wave maps on (1+2)-dimensional curved spacetimes with Cristian Gavrus and Daniel Tataru
To appear in Analysis & PDE.		 pdf
Refined mass-critical Strichartz estimates for Schrödinger operators. Analysis & PDE (2020), vol. 13, no. 7, 1955-1994. pdf
The quintic NLS on perturbations of R^3 Amer. J. Math. 141 (2019), no. 4, 981-1035. pdf
Mass-critical inverse Strichartz estimates for 1d Schrödinger operators with R. Killip and M. Visan
Rev. Mat. Iberoamericana. 35 (2019), no. 3, 703-730.		 pdf
Energy-critical NLS with potentials of quadratic growth DCDS-A 38 (2018), no. 2, 563-587. pdf
The energy-critical quantum harmonic oscillator Comm. PDE. 41 (2016), no. 1, 79-133. pdf

Teaching

Fall 2020: MAT186H1F (Calculus I)

Winter 2020: MAT244H1F (Ordinary Differential Equations)

Fall 2019: APM346H1F (Partial Differential Equations)

Fall 2018: Math 104 (Introduction to Real Analysis)

Spring 2018: Math 126 (Introduction to Partial Differential Equations)

Fall 2017: Math 185 (Complex Analysis)