Augusto C. Ponce

Augusto C. Ponce is a Professor at the Catholic University of Louvain, Faculty of Science, School of Mathematics. He has been at the university since 2008, initially as a Lecturer (2008-2015) and then as a Professor (2015-present).

His research focuses on several key areas in mathematical analysis:

• Sobolev maps with values into manifolds, where he studies different types of topological or analytical singularities
• Nonlinear partial differential equations and their connections to measure theory
• Nonlocal problems and understanding local problems as limits of nonlocal ones

His recent publications demonstrate a consistent focus on Sobolev spaces, measure theory, and partial differential equations. The trend in his work reveals deep exploration of the interplay between analysis, topology, and geometry, particularly in the context of Sobolev maps and manifolds. His research frequently involves approximation methods and the introduction of new topological quantities, showing strong continuity in his scholarly contributions across multiple decades.

Dr. Ponce has received notable recognition for his scholarly work:

• Winner of the 2014 EMS Monograph Award for his book "Elliptic PDEs, Measures and Capacities"

Dr. Ponce has established significant research collaborations, particularly with Pierre Bousquet and Jean Van Schaftingen on Sobolev maps, and with Luigi Orsina on Schrödinger operators and related PDEs. His teaching portfolio includes advanced courses in mathematical analysis, calculus of variations, and real analysis, reflecting his expertise in these areas. His academic career progression from Lecturer to Professor demonstrates sustained scholarly achievement and contribution to the mathematical community.