Academic degree

Teaching

At the Université Paris-Saclay

• Spring 2024: Ordinary Differential Equations, Holomorphic functions (Discussions), Magistere math L3;
• -------------------: Fourier Analysis (Discussions), L2 physics.
• Fall 2024: Elements of functional analysis ( Lecture notes ) ( Poorly written and incomplete notes of the last lecture, not tested on the exam)
• Spring 2024: As in Spring 2025.

Older

• Fall 2023: Functional Analysis (Lectures and discussions), Australian National University;
• Spring 2023: Introductory Research Course ``Regularity theory for uniformly elliptic operators'' (Lectures), Australian National University;
• Fall 2022: Functional Analysis (Lectures and discussions), Australian National University;
• Spring 2020: Calculus II (Lectures), Temple University;
• Fall 2019: Differential Equations (Lectures), Temple University;
• Spring 2019: Linear Algebra (Lectures), Temple University;
• Fall 2018: Multivariable Calculus (Lectures), Temple University;
• Spring 2018: Mathematical Modeling (Lectures), University of Minnesota;
• Fall 2017: Calculus I (Lectures), University of Minnesota;
• Spring 2017: Calculus I (Lectures), University of Minnesota;
• Fall 2016: Introduction to PDEs (Lectures), University of Minnesota;
• Spring 2016: Mathematical Modeling (Lectures), University of Minnesota;
• Fall 2017: Calculus I (Lectures), University of Minnesota;
• 2012-2015: Lectures and discussions in math (Calculus I, II and Fourier series), IUT de Grenoble.

Publications

Published or accepted

• 2023. (With L. Li) A Green function characterization of uniformly rectifiable sets of any codimension. Adv. Math. (arxiv),
• 2023. (With L. Li and S. Mayboroda) Green functions and smooth distances. Math. Ann. (arxiv),
• 2023. (With Z. Dai and S. Mayboroda) The Regularity problem in domains with lower dimensional boundaries. J. Funct. Anal. (arxiv),
• 2023. (With Z. Dai and S. Mayboroda) Carleson Perturbations for the Regularity Problem. Rev. Mat. Iberoam. (arxiv),
• 2022. A change of variable for Dahlberg-Kenig-Pipher operators. Proc. Amer. Math. Soc. (arxiv),
• 2023. (With G. David and S. Mayboroda) Green function estimates on complements of low-dimensional uniformly rectifiable sets. Math. Ann. (arxiv),
• 2022. (With B. Poggi) Generalized Carleson perturbations of elliptic operators and applications. Trans. Amer. Math. Soc. (arxiv),
• 2023. Green function with pole at infinity applied to the study of the elliptic measure. Anal. PDE (arxiv),
• 2022. Absolute continuity of the harmonic measure on low dimensional rectifiable sets. J. Geom. Anal. (arxiv),
• 2023. (With G. David and S. Mayboroda) Elliptic theory in domains with boundaries of mixed dimension. Astérisque (arxiv),
• 2021. (With S. Mayboroda and Z. Zhao) Dirichlet problem in domains with lower dimensional boundaries. Rev. Mat. Iberoam. (arxiv),
• 2019. (With G. David and S. Mayboroda) A new elliptic measure in lower dimensional sets. Acta Math. Sinica, special issue in honor of Carlos Kenig in honor of his 65th birthday (arxiv),
• 2019. (With G. David and S. Mayboroda) Dahlberg's theorem in higher co-dimension. J. Funct. Anal. (arxiv),
• 2021. (With G. David and S. Mayboroda) Elliptic theory for sets of higher co-dimensional boundaries. Mem. Amer. Math. Soc. (arxiv),
• 2018. Algebra properties for Besov spaces on unimodular Lie groups. Colloq. Math. (arxiv),
• 2018. About the $I$ L^2 $I$ analyticity of Markov operators on graphs. Proc. Amer. Math. Soc. (arxiv),
• 2017. (With G. David and S. Mayboroda) Harmonic measure on sets of codimension larger than one. C. R. Math (arxiv),
• 2016. (With L. Chen, T. Coulhon and E. Russ) Riesz transform for $I$ 1\leq p \leq 2$I$ without Gaussian heat kernel bound. J. Geom. Anal. (arxiv),
• 2016. Hardy and BMO spaces on graphs, applicaton to Riesz transform, Pot. Anal. (arxiv),
• 2015. Littlewood-Paley functionals on graphs, Math. Nach (arxiv).

Preprints

• Carleson perturbations of locally Lipschitz elliptic operators (arxiv),
• (With L. Li) The $I$ L^p $I$ Poisson-Neumann problem and its relation to the Neumann problem (arxiv),
• An alternative proof of the $I$ L^p $I$-regularity problem for Dahlberg-Kenig-Pipher operators on $I$ \mathbb R^n_+ $I$ (arxiv),
• Riesz transform on graphs under subgaussian estimates (arxiv).