Aelson Sobral

I am a Postdoctoral Research Fellow in Applied Mathematics and Computational Science (AMCS) within the Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division at King Abdullah University of Science and Technology (KAUST) in Saudi Arabia. I work with Professor José Miguel Urbano as a member of the Free Boundary and Interface Problems (FBIP) Research Group.

I earned my PhD in Mathematics from the Federal University of Paraíba (Brazil), under the supervision of Professors Damião Araújo and Eduardo Teixeira. During my doctoral studies, I spent a year as a visiting research scholar at the University of Central Florida, working with Professor Teixeira. Before joining KAUST, I was a visiting researcher at the Pontifical Catholic University of Rio de Janeiro (PUC-Rio), where I worked with Professor Boyan Sirakov.

My research lies at the intersection of nonlinear partial differential equations, regularity theory, and free boundary problems. I develop geometric and analytic methods to study degenerate, singular, fully nonlinear, and nonlocal equations in both elliptic and parabolic settings, with particular emphasis on the regularity of solutions and the geometry of their free boundaries. My current interests also include obstacle-type problems and maximum-principle, Harnack, and Aleksandrov–Bakelman–Pucci estimates.

You can find a more detailed CV here.

Back to Top