My name is Anthony Gauvan and my research interests lie in  harmonic and geometric analysis.

If you want to contact me, you can send me a mail at prenom.nom@universite-paris-saclay.fr or at a.nom@gmail.com !

In November 2023, I will be a JSPS Fellow at Saitama University working with Neal Bez .

In July 2023, I defended my thesis at Orsay !

From September 2020 to August 2023, I was a Phd student at Universite Paris-Saclay under the supervision of Laurent Moonens and Emmanuel Russ.

On the sides I put different link to people's pages ! Advisors, friends, etc. 

Perron's capacity of random sets, Proc. Edinb. Math. Soc., II. Ser. 66, No. 4, 960-970 (2023).

Maximal operators on hyperbolic triangles, accepted for publication in Collectanea Mathematica.

Joint work with Romain Branchereau and Samuel Bronstein.

Sharp weak-type estimate for maximal operators associated to Cartesian families under an arithmetic condition, accepted for publication in Transactions of the London Mathematical Society.

Almost everywhere convergence for Lebesgue differentiation processes along rectangles, J. Fourier Anal. Appl. 29, No. 3, Paper No. 37, 31 p. (2023). 

Joint work with Emma D'Aniello, Laurent Moonens and Joseph Rosenblatt.

(Un)boundedness of directional maximal operators through a notion of "Perron capacity'' and an application, Proc. Am. Math. Soc. 151, No. 6, 2517-2526 (2023).

Joint work with Emma D'Aniello and Laurent Moonens.

Application of Perron Trees to Geometric Maximal Operators, Colloq. Math. 172, No. 1, 1-13 (2023). 

Norm estimates for the Kakeya maximal function in high dimensions w.r.t. general measures, Real Anal. Exchange 48(2): 381-394 (2023).

Kakeya-type sets for Geometric Maximal Operators, New York J. Math. 30, 295–306 (2024).