Antonio Pedro Ramos

About me:

I am postdoctoral fellow at the Instituto de Matemática Pura e Aplicada (IMPA), working with João Pedro Ramos. 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). I am mostly interested in Fourier analysis and its interactions with number theory and approximation theory. My CV can be found here (updated September 2024).

Contact: 

antonio.ramos ''AT'' impa ''DOT'' br

Research:

• 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.

• 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.

• Sharp embeddings between weighted Paley-Wiener spaces (with E. Carneiro, C. González-Riquelme, L. Oliveira, A. Olivo, S. Ombrosi, and M. Sousa), Preprint, 2023.

• Fourier optimization and pair correlation problems (with M. K. Das and T. Ismoilov), Preprint, 2025.

• Littlewood's estimates for L-functions in the hyperelliptic ensemble (with E. Carneiro, P. Darbar, M. K. Das, and T. Ismoilov), Preprint, 2025.