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Pablo Raúl Stinga, Professor of Mathematics, delivers invited plenary lecture at American Mathematical Society conference

Author: vsiefken

On Saturday October 18, 2025, Professor Pablo Raúl Stinga delivered the invited plenary lecture entitled “Regularity of solutions to nonlinear elliptic PDE problems involving surfaces” at the 2025 American Mathematical Society (AMS) Fall Central Sectional Meeting held on October 18-19 at St. Louis University, in St. Louis, Missouri.

The AMS holds two annual sectional meetings (one in the Fall and one in the Spring) for the Central geographic region comprised of those states west of Pennsylvania and east of Colorado and those provinces of Canada north of this section. Attendees are welcome from anywhere and the conference includes parallel special sessions and poster presentations. Professor Stinga had the honor to deliver an invited plenary lecture for the Fall 2025 edition of the meeting.

Professor Stinga presented recent advances on regularity estimates for solutions of elliptic partial differential equation problems involving surfaces. In particular, he communicated his research in collaboration with Professor Luis A. Caffarelli from The University of Texas at Austin—winner of the 2023 Abel Prize, and their graduate students. Stinga discussed his advances in understanding the geometric properties of solutions to elliptic transmission problems, in which the behavior of the systems changes when crossing a certain interface (like light crossing from air into water). Furthermore, he presented two different constructions of surfaces of minimum mean curvature variation, a mathematical breakthrough that has deep applications in computer science, data science, CAD, CAM and industrial design.