Research:

 An operator viewpoint on sums of sets in Euclidean space, (with A. Iosevich, K. Simon), (in progress)

 Dimension and Measure of Sums of Planar sets and Curves, (with K. Simon) (preprint) (2017)

 Interior of Sums of Planar sets and Curves, (with K. Simon) (preprint) (2017)

 Pinned geometric configurations in Euclidean space and Riemannian Manifolds, (with A. Iosevich, and I. UriarteTuero), (preprint), (2016).

 Finite chains inside thin subsets of Euclidean space , (with M. Bennett, A. Iosevich), Analysis and PDE, (2016).

 Maximal operators: scales, curvature, and the fractal dimension , (with A. Iosevich, E. Sawyer, and I. UriarteTuero), (preprint).

 Intersections of sets and Fourier analysis , (with S. Eswarathasan and A. Iosevich),Journal d’Analyse Mathematique, (2016).

 The lattice point counting problem on the Heisenberg groups, (with R. Garg, A. Nevo), Annales de l’Institut Fourier, (2015).

 Applications of generalized Radon transforms to problems in harmonic analysis, geometric measure, and analytic number theory, Thesis work for Ph.D. in Mathematics, Univeristy of Rochester; Advisor: Alex Iosevich, (2012).

 On the MattilaSjolin Theorem for distance sets , (with A. Iosevich and M. Mourgoglou), Annales Academiæ Scientiarum Fennicæ Mathematica, Volume 37, 557–562, (2012).

 Lattice points close to families of surfaces, nonisotropic dilations and regularity of generalized Radon transforms. , (with A. Iosevich), New York Journal of Mathematics, 17, 119, (2011).

 Fourier integral operators, fractal sets, and the regular value theorem , (with S. Eswarathasan and A. Iosevich), Advances in Mathematics, volume 228, pages 23852402 (2011)