Research

 On Fourier transforms of fractal measures on the parabola. (with T. Orponen and A. Pyörälä). Preprint 2024. 19 pages. ArXiv

 On the density problem in the parabolic space. (with A. Merlo and M. Mourgoglou). Preprint 2022. 67 pages. ArXiv

L^2-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type. (with A. Molero, M. Mourgoglou and X. Tolsa). Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 38, 59 p. (2023). Link - Arxiv

Gradient of the single layer potential and quantitative rectifiability for general Radon measures. J. Funct. Anal. 282 (2022), no. 6, 109376, 77 pages. Link

Blow-ups of caloric measure in time varying domains and applications to two-phase problems (with M. Mourgoglou). J. Math. Pures Appl. 152 (2021), 1-68. Link

L^2-boundedness of gradients of single layer potentials and uniform rectifiability (with L. Prat and X. Tolsa).  Anal. PDE. 14 (2021), no. 3, 717-791. Link - ArXiv

Measures that define a compact Cauchy transform. Proc. Amer. Math. Soc. 147 (2019), no. 5, 2069-2080. Link - ArXiv

Estimates for the maximal Cauchy integral on chord-arc curves. Ann. Acad. Sci. Fenn. Math. 43 (2018), 961-980. Link