Microlocal analysis of scattering data for nested conormal potentials, Ph.D. thesis, Journal of Functional Analysis 262 (5), 2100-2141 (2012).
Fourier integral operators, fractal sets, and the regular value theorem (with Alex Iosevich and Krystal Taylor), Advances in Mathematics 228, (4), 2385-2402 (2011).
Average pointwise bounds for deformations of Schrodinger eigenfunctions (with John Toth), Annales Henri Poincare 14, (3), 611-637 (2012).
Intersections of sets, diophantine equations, and Fourier analysis (with Alex Iosevich and Krystal Taylor), Journal d’Analyse Mathematique 128 (1), 159-178 (2016).
Perturbations of the semiclassical Schrodinger equation on negatively curved surfaces (with Gabriel Rivière), Journal of the Institute of Mathematics of Jussieu 16, 787-835 (2017).
$L^p$ norms of fractal restrictions of eigenfunctions on compact manifolds (with Malabika Pramanik), preprint available: latest draft 11/24/18
Counting nodal domains and tangency points (with Igor Wigman), in preparation.
Lower bounds for components of connectivity measures on S^2 (with Matthew de Courcey-Ireland), in preparation.
Sup-bound for eigenfunctions on fractal subsets of compact hyperbolic surfaces, in preparation.
Lower bounds on the $L^2$ closed horocycle restrictions of Eisenstein series on the modular surface (with Junehyuk Jung), in preparation.
Restricted entropy of eigenfunctions on manifolds with Anosov flows, in preparation.