I have interest in Analysis, mainly in areas such as functional and complex analysis, operator theory, approximation theory and applications. Particular topics include:
spaces of holomorohic function, in particular Hardy spaces of the unit disk
orthogonal polynomials and special functions
asymptotic analysis, in particular Riemann-Hilbert boundary value problems
applications of the previous themes to number theory, random matrices and probability
Cute gifts from Carla Pinheiro and Waleed Noor, brightening my table
Orthogonality questions related to ζ-zeros, with F. Calderaro, W. Noor and J. Manzur, 2024. (arXiv)
Deformations of OP ensembles in a bulk critical scaling, with C. Candido†, V. Alves, T. Chouteau and G. Silva, Nonlinearity 39(1), paper 015001, 35 p., 2026. (published, arXiv)
Zero-free half-planes of the ζ-function via spaces of analytic functions, with A. Ghosh, K. Kremnizer and W. Noor. Adv. Math. 455, paper 109872, 18 p., 2024. (publishe, arXiv)
A weighted composition semigroup related to three open problems, with J. Manzur and W. Noor. J. Math. Anal. Appl. 525(1), paper 127261, 10 p., 2023. (publishe, arXiv)
PhD. Thesis: Zeros of the zeta function via Hardy spaces: density, orthogonality and semigroups, 2022 (in Portuguese)
Undergraduate Research
Ludovica Dias Zuppo Moraes (Bachelor in Mathematics, ICEx - UFMG), since out/2025.
Gleidson Vilaça da Silva (Mathematics, ICEx-UFMG), since aug/2026.
Undergraduate Research
José Luís Passarin Segantin (Bachelor in Chemistry, IQSC - USP São Carlos), set/2024-jul/2025.