Regular biography
Maria Colombo is a Full Professor at École Polytechnique Fédérale de Lausanne (EPFL), affiliated with the Department of Mathematics (MATH). She holds the Chair of Mathematical Analysis, Calculus of Variations and PDEs. Her research interests include mathematical analysis, calculus of variations, and partial differential equations. Colombo is recognized for her contributions to the field, as evidenced by awards such as the Collatz prize, the Feltrinelli Prize, and the EMS Prize. She teaches courses on topics such as Lebesgue measure, Fourier analysis, and the Euler and Navier-Stokes equations.
Scholar-generated biography
Maria Colombo is a professor at EPFL Lausanne, specializing in mathematical analysis. Her research focuses on variational problems, particularly double phase functionals, and their regularity properties. She investigates the behavior of minimizers, Harnack inequalities, and non-uniformly elliptic operators. Colombo also explores non-autonomous functionals, borderline cases, and related function classes. Her work includes studies on Navier-Stokes equations, Leray solutions, and the existence of Eulerian solutions. She has contributed to the understanding of Sobolev spaces in metric measure spaces and optimal transport maps. Her research addresses both theoretical and applied aspects of mathematical analysis, with a focus on partial differential equations and functional analysis.