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:

32. Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case,
(with D. Oliveira e Silva, M. Sousa and B. Stovall),
preprint.
 
31. Sharp mixed norm spherical restriction,
(with D. Oliveira e Silva and M. Sousa),
to appear in
Advances in Mathematics.
 
(with M. Milinovich and K. Soundararajan),
to appear in Commentarii Mathematici Helvetici.
 
(with D. Oliveira e Silva and M. Sousa),
to appear in Annales de l'Institut Henri Poincaré, Analyse Non Linéaire.
 
(with A. Chirre and M. Milinovich),
to appear in Publicacions Matemàtiques.
 
(with R. Finder and M. Sousa),
Revista Matemática Iberoamericana, vol. 34 (2018), 739-766.
 
(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), Universität Bonn (2018 - 2023).
 
M.Sc.:
 
6. Tainara Gobetti Borges (2018 - present).
 
5. Cynthia Bortolotto (2018 - present).
 
4. Gerardo Sigfredo Fisch Paredes (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 has been supported by FAPERJ, CNPq, CAPES, the Simons Foundation / ICTP - Trieste and the Fulbright Commission.