Research

Publications and preprints

Matrix weighted L^p estimates in the nonhomogeneous setting ( with F. Benito-de la Cigoña, F. D'Emilio, M. Pasquariello, and N. Wagner). Preprint 2025.
Nonempty interior of pinned distance and tree sets (with B. Foster, Y. Ou, and Eyvindur Palsson). Preprint (2025).
Survey on bilinear spherical averages and associated maximal operators. Submitted to Journal of Geometric Analysis, conference proceedings of Harmonic Analysis and Differential Equations-In Honour of Professor Jill Pipher, June 2024.
Commutator estimates for Haar shifts with general measures (with J. Conde Alonso, J. Pipher, and N. Wagner). Journal of Functional Analysis, 2025.
Study guide for "On restricted projections to planes in R3" (with S. Mulherkar and T. Yang). Written for the Study Guide Writing Workshop 2023.
Sobolev smoothing estimates for bilinear maximal operators with fractal dilation sets. (with B. Foster and Y. Ou). Journal of Functional Analysis, 2025.
A singular variant of the Falconer distance problem. (with A. Iosevich and Y. Ou). Submitted.
Bounds for lacunary bilinear spherical and triangle maximal functions. (with B. Foster). Journal of Fourier Analysis and Applications, 2024.
Sparse bounds for the bilinear spherical maximal function. (with B. Foster, Y. Ou, J.Pipher, and Z. Zhou). Journal of the London Mathematical Society, 2023.
On the endpoint behavior of oscillatory maximal function. (with J.P. Ramos and C. Bortolotto). Journal of Mathematical Analysis and Applications, 2021..

Nonempty interior of pinned distance and tree sets. Talk at Expanding Pathways in Harmonic Analysis conference, WashU: Link for slides.
Slides of my Thesis defense. March 14, 2025.
Bilinear averaging operators and singular variants of the Falconer distance problem. Talk at UPenn: Link for slides.
Bilinear averages, associated maximal functions, and Falconer distance problem: Link for slides.
L^p estimates on the bilinear Hilbert transform for 2<p<infinity. After M. Lacey and C. Thiele. Link for slides.
Sobolev smoothing estimates for bilinear maximal operators with fractal dilation sets: Link for slides.
Notes on the Fefferman Multiplier Theorem for the Ball and Leeuw theorem (reduction to R2).
Reading guide for "On restricted projections to planes in R3": Link for slides.
A singular variant of the Falconer distance problem. Talk at the 34th Brazilian Colloquium of Mathematics: Link for slides.
Sparse domination for spherical maximal functions: linear and bilinear case: Link for the slides .
Sparse domination for some maximal functions: Link for slides.
Poster presented at El Escorial conference 2022.
Sharp weighted bounds without testing or extrapolation (after Kabe Moen): Link for the slides.
Endpoint Behavior for γ−Hardy-Littlewood Maximal Operators. Research seminar article, IMPA, Jan 2020.

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