Research


Research interests: 

Analysis and its applications to number theory, approximation theory and partial differential equations.


Google Scholar profile / MathSciNet profile / Preprints from arxiv.org


List of publications:

31. Sharp mixed norm spherical restriction,
(with D. Oliveira e Silva and M. Sousa),
preprint.
 
(with M. Milinovich and K. Soundararajan),
preprint.
 
(with D. Oliveira e Silva and M. Sousa),
preprint.
 
(with A. Chirre and M. Milinovich),
to appear in Publicacions Matemàtiques.
 
(with R. Finder and M. Sousa),
to appear in Revista Matemática Iberoamericana.
 
(with A Chirre),
Mathematical Proceedings of the Cambridge Philosophical Society, vol.164 (2018), 259-283.
 
(with D. Foschi, D. Oliveira e Silva and C. Thiele),
Revista Matemática Iberoamericana, vol. 33 (2017), 1463-1486.
 
(with J. Madrid and L. B. Pierce),
Journal of Functional Analysis, vol. 273 (2017), 3262-3294.
 
(with F. Littmann),
American Journal of Mathematics, vol. 139 (2017), 525-566.
 
(with V. Chandee, F. Littmann and M. Milinovich),
Journal für die reine und angewandte Mathematik (Crelle's journal), vol. 725 (2017), 143-182.
 
(with J. Madrid),
Transactions of the American Mathematical Society, vol. 369 (2017), 4063-4092.
 
(with R. Finder),
Bulletin of the Brazilian Mathematical Society, vol. 46, no. 4 (2015), 601-620.
 
(with V. Chandee and M. Milinovich),
Mathematische Zeitschrift, vol. 281 (2015), 315-332.
 
(with D. Oliveira e Silva),
International Mathematics Research Notices (IMRN), vol. 2015 (2015), 8233-8267.
 
(with F. Gonçalves),
Mathematische Zeitschrift, vol. 280 (2015), 17-45.
 
(with F. Littmann),
Advances in Mathematics, vol. 260 (2014), 281-349.
 
(with F. Littmann), 
Journal of Fourier Analysis and Applications, vol. 19 (2013), 967-996.
 
(with F. Littmann),
Constructive Approximation, vol. 38, no. 1 (2013), 19-57.
 
(with B. F. Svaiter),
Journal of Functional Analysis, vol. 265 (2013), 837-865.
 
(with V. Chandee and M. Milinovich),
Mathematische Annalen, vol. 356 (2013), 939-968.
 
(with F. Littmann and J. D. Vaaler),
Transactions of the American Mathematical Society, vol. 365 (2013), 3493-3534.
 
(with K. Hughes),
Mathematical Research Letters, vol. 19, no. 6 (2012), 1245-1262.
 
(with J. Bober, K. Hughes and L. B. Pierce),
Proceedings of the American Mathematical Society, vol. 140 (2012), 1669-1680.
 
(with V. Chandee),
Journal of Number Theory, vol. 131 (2011), 363-384.
 
(with R. Alonso and I. M. Gamba),
Communications in Mathematical Physics, vol. 298, no. 2 (2010), 293-322.
 
(with R. Alonso),
Advances in Mathematics, vol. 223, no. 2 (2010), 511-528.
 
(with J. D. Vaaler),
Constructive Approximation, vol. 31, no. 2 (2010), 259-288.
 
(with J. D. Vaaler),
Transactions of the American Mathematical Society, vol. 362 (2010), 5803-5843.
 
International Mathematics Research Notices (IMRN), vol. 16 (2009), 3127-3145.
 
Journal of Approximation Theory, vol. 154 (2008), 90-104.
 
(with D. Moreira),
Proceedings of the American Mathematical Society, vol. 136 (2008), 4395-4404.

Papers published in conference proceedings:
 
A2. Entire functions of exponential type and the Riemann zeta-function,
VI ENAMA (2012), Aracaju - Brazil, 76pp.
 
A1. A survey on Beurling-Selberg majorants and some consequences of the Riemann hypothesis,
Matemática Contemporânea, vol. 40 (2011), 149-172.

Thesis:
 
T1. Extremality, symmetry and regularity issues in harmonic analysis, Ph.D. Thesis, The University of Texas at Austin, 2009, 113pp.

Graduate Students:
 
Ph.D:
 
8. Oscar Emilio Quesada Herrera (2018 - present).
 
7. Daniel da Silva Nunes (2017 - present).
 
6. Cristian Andres Gonzalez Riquelme (2017 - present).
 
5. Carlos Andrés Chirre Chavez (2015 - present).
 
4. Mateus Sousa, Ph.D. IMPA 2017.
Post-doctoral placement: Universidad de Buenos Aires (2018) and LMU - Munich (2018 - 2021).
 
3. Renan Finder, Ph.D. IMPA 2016.
Post-doctoral placement: Universitat Göttingen - Germany (2016 - 2019).
 
2. Jose Ramon Madrid, Ph.D. IMPA 2016.
Post-doctoral placement: Aalto Univ. - Helsinki (2016 - 2017), ICTP - Trieste (2017 - 2018), UCLA (2018 - 2021). 
 
1. Felipe Gonçalves, Ph.D. IMPA 2016.
Carlos Gutierrez Thesis Prize, USP - São Carlos, 2017.
IMPA Best Thesis Prize, 2017.
CAPES Thesis Prize, 2017.
Post-doctoral placement: Univ. of Alberta - Canada (2016 - 2018), Universitat Bonn (2018 - 2025).
 
M.Sc.:
 
7. Tainara Gobetti Borges (2018 - present).
 
6. Cynthia Bortolotto (2018 - present).
 
5. Gerardo Sigfredo Fisch Paredes (2017 - present).
 
4. Lucas Garcia Gomes (2017 - present).
 
3. Alvaro Almeida Gomez, M.Sc. IMPA 2017.
 
2. Itamar Sales de Oliveira, M.Sc. UFC 2017 (co-advised with Diego Moreira).
 

1. Renan Finder, M.Sc. IMPA 2012.


Here is my math genealogy.


My research is currently supported by FAPERJ, CNPq and the Simons Foundation / ICTP - Trieste.

In the past I have received support from FAPERJ, CNPq, CAPES and the Fulbright Commission.