Regular biography
Layan El Hajj is an Associate Teaching Professor in the Department of Mathematics at Carnegie Mellon University. She is affiliated with CMU Qatar and holds the title of Associate Teaching Professor. Her research is associated with CMU Qatar. She can be contacted via email at lelhajj@andrew.cmu.edu or through her website at https://www.cmu.edu/math/people/faculty/el-hajj.html.
Scholar-generated biography
Layan el Hajj is an associate professor of Mathematics with expertise in Complex Analysis, Spectral Theory, PDE, and Free boundary problems. Her research focuses on the geometrical properties of logharmonic mappings, univalence of poly-analytic and polyharmonic functions, and convexity in entire functions. She investigates intersection bounds for nodal sets of eigenfunctions and symmetry in elliptic and fully nonlinear PDEs with free boundaries. Her work also includes convexity problems for semi-linear PDEs and stable geometrical properties of logharmonic mappings. Her research contributes to understanding the interplay between analytic functions and PDEs, with applications in spectral theory and free boundary problems.