Universidade Federal do Ceará
Departamento de Matemática
Av. Humberto Monte, s/n
Campus do Pici - Bloco 914
Fortaleza - CE - Brasil
You can check the new version of this here.
I am an Assistant Professor at Universidade Federal do Ceará (UFC).
Previously, I was a post-doc at EPFL - Chair of Analytic Number theory, working with Philippe Michel.
Prior to that I did my Ph.D. in Université Paris Sud XI, under the guidance of Étienne Fouvry. My thesis was entitled: «Equidistribution problems of squarefree numbers».
My main interests lie in Number theory. More specifically, in Analytic Number Theory. I am also interested in Automorphic forms, specially in its applications to Number Theory.
Spectral reciprocity for GL(n) and simultaneous non-vanishing of central L-values. (with Subhajit Jana) preprint, ArXiv.
Spectral reciprocity via integral representations. accepted, Algebra and Number Theory, ArXiv.
Strong Subconvexity for Self-Dual GL(3) L-functions. (with Yongxiao Lin and Zhi Qi) International Mathematics Research Notices, rnac153.
Moments of the distribution of $k$-free numbers in short intervals and arithmetic progressions. Bulletin of the London Mathematical Society, 54 (2022), 1282-1298.
The Twelfth Moment of Dirichlet L-functions with Smooth Moduli. International Mathematics Research Notices, rnz089.
On the least squarefree number in an arithmetic progression. Mathematika 63 (2017), no. 2, 483-498.
On Bourgain's bound for short exponential sums and squarefree numbers. Acta Arith. 172 (2016), no. 2, 99-116.
Squarefree numbers in arithmetic progressions. J. Number Theory 153 (2015), 1-36.
Equidistribution problems of squarefree numbers. My Phd. Thesis
Brazilian Mathematics Colloquium, IMPA - Rio de janeiro, July 24-28 2023,
I'm not teaching this semester