Harmonic analysis, linear and multilinear singular integrals, geometric measure theory, sub-Riemannian geometry, and spectral multipliers of partial differential equations

Papers:

Real Analytic Multi-parameter Singular Radon Transforms: necessity of the Stein-Street condition – arXiv – Trans. Amer. Math. Soc. 375 (2022), 7853-7923, 71 pages

Spectral Multipliers for Maximally Subelliptic Operators – arXiv – Math. Z. 309, 54 (2025)

Hilbert Transforms and Maximal Functions along Flat Curves on the Heisenberg Group – arXiv

Singular integrals on C^{1,α} intrinsic graphs in step 2 Carnot groups – arXiv – J. Geom. Anal. 35, 380 (2025) – with Vasileios Chousionis and Sean Li

On singular integrals with non-negative kernels in the Heisenberg group – arXiv – with Vasileios Chousionis and Sean Li

A unified geometric perspective on Zygmund’s conjecture for maximal functions associated with vector fields – arXiv