Academic degree

Teaching

At the Université Paris-Saclay

• Spring 2026: Ordinary Differential Equations (Exercises sessions, Magistere math L3); Fourier Analysis (Exercises sessions, L2 physics); Topology and differential calculus (Exercises sessions, L3 math).
• Fall 2025: Elements of functional analysis ( Lecture notes )
• Spring 2025: Ordinary Differential Equations, Holomorphic functions (Exercises sessions, Magistere math L3); Fourier Analysis (Exercises sessions, L2 physics).
• Fall 2024: As in Fall 2025.
• 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

1. 2026. In spaces with a slow diffusion, the Riesz transform is unbounded on $I$ L^p $I$, $I$ p\in (2,\infty). $I$ J. Geom. Anal. (arxiv),
2. 2025. Carleson perturbations of locally Lipschitz elliptic operators. Proc. Amer. Math. Soc. (arxiv),
3. 2025. An alternative proof of the $I$ L^p $I$-regularity problem for Dahlberg-Kenig-Pipher operators on $I$ \mathbb R^n_+ $I$. Math. Z. (arxiv),
4. 2023. (With L. Li) A Green function characterization of uniformly rectifiable sets of any codimension. Adv. Math. (arxiv),
5. 2023. (With L. Li and S. Mayboroda) Green functions and smooth distances. Math. Ann. (arxiv),
6. 2023. (With Z. Dai and S. Mayboroda) The Regularity problem in domains with lower dimensional boundaries. J. Funct. Anal. (arxiv),
7. 2023. (With Z. Dai and S. Mayboroda) Carleson Perturbations for the Regularity Problem. Rev. Mat. Iberoam. (arxiv),
8. 2022. A change of variable for Dahlberg-Kenig-Pipher operators. Proc. Amer. Math. Soc. (arxiv),
9. 2023. (With G. David and S. Mayboroda) Green function estimates on complements of low-dimensional uniformly rectifiable sets. Math. Ann. (arxiv),
10. 2022. (With B. Poggi) Generalized Carleson perturbations of elliptic operators and applications. Trans. Amer. Math. Soc. (arxiv),
11. 2023. Green function with pole at infinity applied to the study of the elliptic measure. Anal. PDE (arxiv),
12. 2022. Absolute continuity of the harmonic measure on low dimensional rectifiable sets. J. Geom. Anal. (arxiv),
13. 2023. (With G. David and S. Mayboroda) Elliptic theory in domains with boundaries of mixed dimension. Astérisque (arxiv),
14. 2021. (With S. Mayboroda and Z. Zhao) Dirichlet problem in domains with lower dimensional boundaries. Rev. Mat. Iberoam. (arxiv),
15. 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),
16. 2019. (With G. David and S. Mayboroda) Dahlberg's theorem in higher co-dimension. J. Funct. Anal. (arxiv),
17. 2021. (With G. David and S. Mayboroda) Elliptic theory for sets of higher co-dimensional boundaries. Mem. Amer. Math. Soc. (arxiv),
18. 2018. Algebra properties for Besov spaces on unimodular Lie groups. Colloq. Math. (arxiv),
19. 2018. About the $I$ L^2 $I$ analyticity of Markov operators on graphs. Proc. Amer. Math. Soc. (arxiv),
20. 2017. (With G. David and S. Mayboroda) Harmonic measure on sets of codimension larger than one. C. R. Math (arxiv),
21. 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),
22. 2016. Hardy and BMO spaces on graphs, applicaton to Riesz transform, Pot. Anal. (arxiv),
23. 2015. Littlewood-Paley functionals on graphs, Math. Nach (arxiv).

Preprints

• (With L. Li and J. Zhuge) Stability of $I$ L^p $I$ Dirichlet solvability under small bi-Lipschitz transformations of domains (arxiv),
• (With L. Li) The $I$ L^p $I$ Poisson-Neumann problem and its relation to the Neumann problem (arxiv),
• Riesz transform on graphs under subgaussian estimates (arxiv).