Universidade Federal do Ceará
Departamento de Matemática
Av. Humberto Monte, s/n
Campus do Pici - Bloco 914
Fortaleza - CE - Brasil
I am an Assistant Professor at Universidade Federal do Ceará (UFC), currently on leave at the Max-Planck Institute.
Previously, I was visiting profesor at UFC and earlier, 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.
with Subhajit Jana: Spectral reciprocity for GL(n) and simultaneous non-vanishing of central L-values. Preprint, ArXiv.
Moments of the distribution of k-free numbers in short intervals and arithmetic progressions. accepted Bull. Lond. Math. Soc.
Spectral reciprocity via integral representations. submitted.
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
I'm not teaching this semester
Number Theory Web, IAS video lectures, Detexify, Kowalski's blog. w3schools.