I am a Postdoctorate fellow in the Computer, Electrical and Mathematical Sciences and Engineering Division (CEMSE) at King Abdullah University of Science and Technology (KAUST) in Saudi Arabia.

I completed my PhD at the Federal University of Paraíba (Brazil), advised by Professors Damião Araújo and Eduardo Teixeira. Before graduating, I spent a year as a research scholar with Professor Teixeira at the University of Central Florida. After graduation, and before moving to Saudi Arabia, I undertook a research stay at PUC-Rio with Professor Boyan Sirakov.

My research focuses on developing geometric tools to analyze Free Boundary Problems, with a particular interest in regularity theory for degenerate and singular PDEs, as well as free boundary regularity. Recently, I’ve also become interested in generalized maximum principles for elliptic equations in both divergence and non-divergence forms.

You can find a more detailed CV here.

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Front cover of The fractional Laplacian uncovered

Book

The fractional Laplacian uncovered

Disson dos Prazeres, Aelson Sobral, and Rafayel Teymurazyan
IMPA, Coleção Colóquios Brasileiros de Matemática, 2025

Lecture notes introducing the fractional Laplacian and related nonlocal equations, including maximum principles, Harnack inequalities, Krylov-Safonov regularity theory, approximation methods, and improved regularity.

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