Layan El Hajj

Layan El Hajj is an Associate Teaching Professor in the Department of Mathematics at Carnegie Mellon University Qatar, part of the Mellon College of Science. She holds a Ph.D. from McGill University and specializes in complex analysis, partial differential equations, and geometric function theory. Her research focuses on free boundary problems, logharmonic mappings, and univalent functions, with contributions to convexity, symmetry, and stability in mathematical analysis.

Her work bridges theoretical advancements with applications in nonlinear PDEs, geometric mappings, and harmonic analysis. Notable areas include radial symmetry in elliptic PDEs, convexity of free boundaries, and properties of poly-analytic functions. She maintains an active Google Scholar profile and contributes to undergraduate and graduate education in mathematics.