Research

Papers

• Lagrange and Markov spectra for typical smooth systems

(com  C. G. Moreira, J. Bezerra)

Ergodic Theory and Dynamical Systems, Published online:  23 October 2025,  33 pages.

• A Hybrid Gradient Method for  Vector Optimization Problems

(with R. Serra)

Numerical Algorithms, vol. 2025, 19 pages.

• M\L is not closed 

(with D. Lima, C. G. Moreira, C. Matheus)

International Mathematics Research Notices, vol. 2022, no. 1,  265-311.

• M\L near 3

(with D. Lima, C. G. Moreira, C. Matheus)

Moscow Mathematical Journal , vol 21 (2021),  issue. 4, 767-788.

Submitted

• inf(M\L)=3

(with H. Erazo,D. Lima, C. G. Moreira, C. Matheus)

Preprint at arXiv. 46 pages.

• Smallest known numbers in M\ L

(with D. Lima, C. G. Moreira, C. Matheus)

Master Degree Students

• Natália de Brito Lopes - UFPI - 2024/2026

• Eduardo Viana da Silva - UFPI, FAPEPI/2024-2026

• Maiara Veras de Brito - UFPI - 2024/2026 (Coorientação)

Undergraduate Research Projects Students

• Talyson Rikelmy Andrade Viana - UFPI, ICV/2025-2026

• Caio de Castro Moraes - UFPI, ICV/2024-2025, ICV/2025-2026

• Luiz Miguel Holanda Gomes da Silva - UFPI, ICV/2024-2025, PICME/2023

• Ricael Daniel Vieira da Silva - UFPI, ICV/2024-2025, PICME/2023

• Gersonn Victor Rabelo Costa - UFPI, ICV/2024-2025

• Marcelo Alencar Lemos - UFPI, IC/2023-2024

• Thiago Wallison da Silva Pereira - UFPI, ICV/2023-2024

• João Vítor Fernandes Melo - UFPI, FAPEPI/2022-2024

• Glenda Rabelo de Sousa - UESPI, FAPEPI/2023-2024

• Ana Carolina Gomes Macedo - UFPI, FAPEPI/2022-2023