OVERVIEW
ROLES AT IMM
2025
IMM International Faculty
Functional Analysis (M1)
Course
Algeria
Fall
ABOUT ME
Educational Background and Interest in Mathematics
Since May 2025 I am a Postdoctoral Fellow at Centre de Recerca Matemàtica, under the supervision of Sergey Tikhonov. Before, I was a visiting professor at Departamento de Ingeniería matemática, Universidad de Chile, invited by Claudio Muñoz. Previously, until the end of 2024, I was a postdoctoral researcher at the Instituto Superior Tecnico in Lisbon, working under the supervision of Diogo Oliveira e Silva. During 2022 I was a Posdoctoral fellow at ICTP. I obtained my PhD in mathematics at IMPA in 2021, working under the advice of Emanuel Carneiro. I am mainly interested in harmonic analysis.
CURRICULUM
from 2025 to 2025
IMM International Faculty, International Mathematics Master (IMM) Algeria
Algeria
from 2023 to Present
Postdoctoral Fellow, Instituto Superior Tecnico
Portugal
from 2021 to 2022
Postdoctoral Fellow, The Abdus Salam International Centre for Theoretical Physics
Italy
from 2020 to 2023
PhD Student, Instituto Nacional de Matemática Pura e Aplicada (IMPA)
Brazil
from 2017 to 2020
B.Sc. Student, Federal University of Rio de Janeiro
Brazil
from 2017 to 2019
MSc Student, Instituto Nacional de Matemática Pura e Aplicada (IMPA)
Brazil
MORE INFORMATION
Research
I have mainly been interested in understanding fine properties of different types of maximal functions. Lately, I've been also interested in sharp inequalities in Fourier analysis. Here are my preprints:
- Maximizers of the L^2 to L^4 Fourier extension inequality for cones in finite fields (with T. Ismoilov) 2025, preprint.
- Sharp Poincare-Wirtinger inequalities on complete graphs (with J. Madrid), 2024, preprint.
- Sharp extension inequalities on finite fields (with D. Oliveira e Silva), 2024, preprint.
- Sharp embeddings between weighted Paley-Wiener spaces (with E. Carneiro, L. Oliveira, A. Olivo, S. Ombrosi, A. P. Ramos and M. Sousa), 2023, preprint.
- The maximal function of the Devil's staircase is absolutely continuous (with D. Kosz)[Journal], 2022, J. Geom. Anal.
- Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level, [Journal], 2021, J. Funct. Anal.
- On the continuity of maximal operators of convolution type at the derivative level[Journal], 2021, Israel J. Math.
- Continuity of the gradient of the fractional maximal operator on W^{1,1}(R^d) (with D. Beltran, J. Madrid and J. Weigt), [Journal], 2021, Math. Res. Lett.
- Sharp inequalities for maximal operators on finite graphs, II (with J. Madrid)[Journal], 2020, J. Math. Anal. Appl.
- BV continuity for the uncentered Hardy--Littlewood maximal operator (with D. Kosz)[Journal], 2020, J. Funct. Anal.
- Sunrise strategy for the continuity of maximal operators (with E. Carneiro and J. Madrid)[Journal], 2020, J. Anal. Math.
- Sharp inequalities for maximal operators on finite graphs (with J. Madrid)[Journal], 2021, J. Geom. Anal.
- Sobolev regularity of polar fractional maximal functions [Journal], 2020, Nonlinear Anal.
- Gradient bounds for radial maximal functions (with E. Carneiro)[Journal], 2021, Ann. Fenn. Math.
Awards
International Math Olympiad (IMO): 2012 Bronze medal.