Lewicka's research areas are nonlinear analysis, partial differential equations and calculus of variations. She has obtained results in the broad areas of: the well-posedness and stability of systems of conservation laws and reaction-diffusion equations; the mathematical theory of elasticity with connections to Riemannian geometry and applications in morphogenesis of growth; the nonlinear potential theory with its counterpart description through random tug-of-war games. Her recent results include application of the convex integration techniques to the Monge-Ampere system, and a construction of the geodesic rectifying isometries in kirigami.
Education & Training
- PhD, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Italy