Maria Colombo

Maria Colombo is an Assistant Professor at École Polytechnique Fédérale de Lausanne (EPFL). Her research focuses on nonlinear partial differential equations (PDEs), particularly in fluid dynamics, calculus of variations, and optimal transport. She investigates fundamental questions related to existence, uniqueness, and regularity of solutions in contexts such as Euler and Navier-Stokes equations, nonlocal conservation laws, and branched transportation networks.

Her work spans theoretical analysis of PDEs, including studies on non-uniqueness phenomena in transport equations, stability of optimal traffic plans, and singular limits of nonlocal models. She also explores geometric aspects of variational problems, such as free boundary regularity and epiperimetric inequalities. Colombo's contributions bridge pure mathematics and applied analysis, addressing challenges in both classical and modern settings like semiclassical limits in quantum mechanics.

Her research often involves collaboration with leading mathematicians in PDEs and analysis, resulting in over 50 publications in top-tier journals. While no specific awards are listed, her prolific output reflects recognition in her field. She maintains an active presence in academic communities through conference organization and speaking engagements.