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:

 
38. Hilbert transforms and the equidistribution of zeros of polynomials,
(an AIM workshop project - with M.K. Das, A. Florea, A.V. Kumchev, A. Malik, M.B. Milinovich, C. Turnage-Butterbaugh and J. Wang),
preprint.
 
37. Generalized sign Fourier uncertainty,
(with O. E. Quesada-Herrera),
preprint.
 
36. Optimality for the two-parameter quadratic sieve,
(with A. Chirre, H. Helfgott and J. Mejia-Cordero),
preprint.
 
 
34. Sunrise strategy for the continuity of maximal operators,
(with C. González-Riquelme and J. Madrid),
to appear in Journal d'Analyse Mathématique.
 
33. Gradient bounds for radial maximal functions,
(with C. González-Riquelme),
to appear in
Annales Academiæ Scientiarum Fennicæ Mathematica.
 
32. Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case,
(with D. Oliveira e Silva, M. Sousa and B. Stovall),
to appear in Indiana University Mathematics Journal.
 
(with M. Milinovich and K. Soundararajan),
Commentarii Mathematici Helvetici 94 (2019), no. 3, 533-568.
 
(with A. Chirre and M. Milinovich),
Publicacions Matemàtiques 63 (2019), no. 2, 601-661.
 
(with D. Oliveira e Silva and M. Sousa),
Annales de l'Institut Henri Poincaré Analyse Non Linéaire 36 (2019), no. 2, 389-415.
 
28. Sharp mixed norm spherical restriction,
(with D. Oliveira e Silva and M. Sousa),

Advances in Mathematics 341 (2019), 583-608.
 
(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:
 
Applied and Numerical Harmonic Analysis, New Trends in Harmonic Analysis, vol. 2 (2019), Chapter 3, 69-92.
Proceedings of the 2017 CIMPA School in Harmonic Analysis, Geometric Measure Theory and Applications.
 
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:
 
7. Oscar Emilio Quesada-Herrera (2018 - present).
 
 
5. Carlos Andrés Chirre Chavez, Ph.D. IMPA 2019.
IMPA Thesis Prize, 2020.
CAPES Thesis Prize, 2020.
Carlos Gutierrez Thesis Prize, 2020.
Later: NTNU - Norwegian University of Science and Technology (2019 - 2021).
 
4. Mateus Sousa, Ph.D. IMPA 2017.
Later: Universidad de Buenos Aires (2018), LMU - Munich (2018 - 2020), BCAM - Bilbao (2020 - 2023).
 
3. Renan Finder, Ph.D. IMPA 2016.
Later: Universitat Göttingen - Germany (2016 - 2019).
 
2. Jose Ramon Madrid, Ph.D. IMPA 2016.
Later: Aalto Univ. - Helsinki (2016 - 2017), ICTP - Trieste (2017 - 2018), UCLA (2018 - 2021). 
 
1. Felipe Gonçalves, Ph.D. IMPA 2016.
IMPA Thesis Prize, 2017.
CAPES Thesis Prize, 2017.
Carlos Gutierrez Thesis Prize, 2017.
Later: Univ. of Alberta - Canada (2016 - 2018), Universität Bonn (2018 - 2023).
 
M.Sc.:
 
6. Tainara Gobetti Borges, M.Sc. IMPA 2020.
 
5. Cynthia Bortolotto, M.Sc. IMPA 2020.
 
4. Gerardo Sigfredo Fisch Paredes, M.Sc. IMPA 2019.
 
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.

 
Diploma theses at ICTP:
 
2. Khakimboy Egamberganov, 2019.
 
1. Carlos Ospina, 2019.

Here is my math genealogy.

My research has been supported by FAPERJ, CNPq, CAPES, the Simons Foundation / ICTP - Trieste and the Fulbright Commission.