Antonio Pedro Ramos

About me:

I am a postdoc at the Institut des Hautes Études Scientifiques (IHÉS), working under the supervision of Danylo Radchenko. Previously, I was a postdoc of excellence at the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, Brazil. I obtained my PhD at Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste, Italy, where my advisor was Emanuel Carneiro (my thesis is available here).  My CV can be found here (updated September 2026).

I am mostly interested in Fourier analysis and its interactions with number theory and approximation theory.

Contact: 

ramos ''AT'' ihes ''DOT'' fr

Research:

• The Hörmander--Bernhardsson function in higher dimensions (with F. Gonçalves and D. Radchenko), preprint at arXiv.

• Convex order, log-convexity and moments of averages of random variables (with F. Gonçalves and J. Madrid), preprint at arXiv.

• Fourier optimization and Montgomery’s pair correlation conjecture (with E. Carneiro and M. B. Milinovich), Mathematics of Computation, vol. 94 (2025), no. 351, 409-424.

• Zeros of L-functions in low-lying intervals and de Branges spaces,  Journal of Functional Analysis 288 (2025), no. 5, Paper No. 110788, 32.

• Littlewood's estimates for L-functions in the hyperelliptic ensemble (with E. Carneiro, P. Darbar, M. K. Das, and T. Ismoilov), Bull. Lond. Math. Soc. 58 (2026), no. 5, Paper No. e70388.

• Sharp embeddings between weighted Paley-Wiener spaces (with E. Carneiro, C. González-Riquelme, L. Oliveira, A. Olivo, S. Ombrosi, and M. Sousa), Constr. Approx. (2026).

• Sign uncertainty and de Branges spaces (with E. Carneiro and T. Ismoilov), Preprint, 2024. To appear in Annales de l'Institut Fourier (Grenoble).

• Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression (with E. Carneiro, M. B. Milinovich, and E. Quesada-Herrera), Preprint, 2024. To appear in Mathematics of Computation.

• Fourier optimization and pair correlation problems (with M. K. Das and T. Ismoilov), Preprint, 2025. To appear in Revista Matemática Iberoamericana.