Research
Research interests
Harmonic Analysis and Analytic Number Theory.
Papers
(with M. Milinovich, E. Quesada-Herrera and A. P. Ramos)
Preprint.
(with C. González-Riquelme, L. Oliveira, A. Olivo, S. Ombrosi, A. P. Ramos and M. Sousa)
Preprint.
(with G. Negro and D. Oliveira e Silva)
Preprint.
(with M. Milinovich and A. P. Ramos)
Mathematics of Computation (to appear).
(with F. Littmann)
Portugaliae Mathematica, vol. 81 (2024), no. 1-2, 127-134.
(with E. Quesada-Herrera)
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, vol. 24 (2023), 1671-1704.
(with C. González-Riquelme and J. Madrid)
Journal d'Analyse Mathématique, vol. 148 (2022), no. 1, 37-84.
(with A. Chirre and M. Milinovich)
Advances in Mathematics, vol. 410 (2022), Paper No. 108748 (48 pages).
(with A. Chirre, H. Helfgott and J. Mejia-Cordero)
Acta Arithmetica, vol. 203 (2022), no. 3, 195-226.
(with V. Chandee, A. Chirre and M. Milinovich)
Journal für die reine un angewandte Mathematik (Crelle's journal), vol. 786 (2022), 205-243.
(with L. Oliveira and M. Sousa)
Proceedings of the American Mathematical Society, vol. 150 (2022), no. 8, 3395-3403.
(with M. Das, A. Florea, A. Kumchev, A. Malik, M. Milinovich, C. Turnage-Butterbaugh and J. Wang - an AIM Workshop project)
Journal of Functional Analysis, vol. 281 (2021), no. 9, 109199.
(with C. González-Riquelme)
Annales Fennici Mathematici, vol. 46 (2021), 495-521.
(with D. Oliveira e Silva, M. Sousa and B. Stovall)
Indiana University Mathematics Journal, vol. 70 (2021), 535-559.
(with D. Oliveira e Silva and M. Sousa)
Advances in Mathematics, vol. 341 (2019), 583-608.
(with M. Milinovich and K. Soundararajan)
Commentarii Mathematici Helvetici, vol. 94 (2019), no. 3, 533-568.
(with A. Chirre and M. Milinovich)
Publicacions Matemàtiques, vol. 63 (2019), no. 2, 601-661.
(with D. Oliveira e Silva and M. Sousa)
Annales de l'Institut Henri Poincaré Analyse Non Linéaire, vol. 36 (2019), no. 2, 389-415.
(with A. Chirre)
Mathematical Proceedings of the Cambridge Philosophical Society, vol. 164 (2018), 259-283.
(with R. Finder and M. Sousa)
Revista Matemática Iberoamericana, vol. 34 (2018), 739-766.
(with J. Madrid and L. B. Pierce)
Journal of Functional Analysis, vol. 273 (2017), 3262-3294.
(with J. Madrid)
Transactions of the American Mathematical Society, vol. 369 (2017), 4063-4092.
(with V. Chandee, F. Littmann and M. Milinovich)
Journal für die reine und angewandte Mathematik (Crelle's journal), vol. 725 (2017), 143-182.
(with D. Foschi, D. Oliveira e Silva and C. Thiele)
Revista Matemática Iberoamericana, vol. 33 (2017), 1463-1486.
(with F. Littmann)
American Journal of Mathematics, vol. 139 (2017), 525-566.
(with V. Chandee and M. Milinovich)
Mathematische Zeitschrift, vol. 281 (2015), 315-332.
(with R. Finder)
Bulletin of the Brazilian Mathematical Society, vol. 46, no. 4 (2015), 601-620.
(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 B. Svaiter)
Journal of Functional Analysis, vol. 265 (2013), 837-865.
(with F. Littmann)
Journal of Fourier Analysis and Applications, vol. 19 (2013), 967-996.
(with V. Chandee and M. Milinovich)
Mathematischen Annalen, vol. 356, no. 3 (2013), 939-968.
(with F. Littmann)
Constructive Approximation, vol. 38, no. 1 (2013), 19-57.
(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. J. Alonso and I. M. Gamba)
Communications in Mathematical Physics, vol. 298, no. 2 (2010), 293-322.
(with R. Alonso)
Advances in Mathematics, vol. 233, 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 Mathematical Research Notices IMRN 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.
Conference proceedings
(with M. Milinovich)
To appear in the Proceedings of the International Conference Constructive Theory of Functions, 2023.
Applied and Numerical Harmonic Analysis - New Trends in Harmonic Analysis, vol. 2 (2019), Chapter 3, 69-92. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-32353-0_3
Extended Abstracts Fall 2019 - spaces of analytic functions: approximation, interpolation, sampling, 59-64. Trends in Mathematics. Research Perspectives CRM Barcelona. Birkhäuser/Springer, Cham. 2021 https://doi.org/10.1007/978-3-030-74417-5_9.
Matemática Contemporânea 40 (2011), 149–172. http://doi.org/10.21711/231766362011/rmc408.
Ph.D. students
Tolibjon Ismoilov, SISSA, current.
Antonio Pedro Ramos, SISSA, current.
Emily Quesada-Herrera, Ph.D. IMPA, 2022.
Thesis: On uncertainty principles, Fourier optimization and the Riemann zeta-function.
Carlos Gutierrez Thesis Prize 2023 (video).
Cristian González-Riquelme, Ph.D. IMPA, 2021.
Thesis: Fine properties of maximal operators.
Andrés Chirre, Ph.D. IMPA, 2020. (video of the defense)
Thesis: Bounds for the Riemann zeta-function via Fourier analysis.
IMPA Thesis Prize 2020, CAPES Thesis Prize 2020, Carlos Gutierrez Thesis Prize 2020 (video).
Mateus Sousa, Ph.D. IMPA, 2017.
Thesis: Some sharp inequalities in harmonic analysis.
Renan Finder, Ph.D. IMPA, 2016.
Thesis: Variation-diminishing maximal operators and the argument of L-functions.
José Madrid, Ph.D. IMPA, 2016.
Thesis: Regularity of fractional maximal functions and extremal functions of exponential type.
Felipe Gonçalves, Ph.D. IMPA, 2016.
Thesis: Extremal problems, reconstruction formulas and approximations of Gaussian kernels.
IMPA Thesis Prize 2017, CAPES Thesis Prize 2017, Carlos Gutierrez Thesis Prize 2017.
M.Sc. students
Tainara Borges, M.Sc. IMPA, 2020.
Cynthia Bortolotto, M.Sc. IMPA, 2020.
Alvaro Gomez, M.Sc. IMPA, 2017.
Gerardo Paredes, M.Sc. IMPA, 2017.
Itamar Oliveira, M.Sc. Univ. Federal do Ceará (co-advised with D. Moreira), 2016.
Renan Finder, M.Sc. IMPA, 2012.
ICTP Postgraduate Diploma students
Emmanuel Obongi, ICTP, 2023.
Abraham Orinda, ICTP, 2023.
Laurence Wijaya, ICTP, 2022.
Tolibjon Ismoilov, ICTP, 2022.
Rahama Sani, ICTP, 2021.
Khakimboy Egamberganov, ICTP, 2019.
Carlos Ospina, ICTP, 2019.