Rate My Professor Leo Tzou

Tzou's research focuses on applied geometric analysis, geometric microlocal analysis, inverse problems, applied probability, geometric analysis, and inverse and ill-posed problems, with connections to gravitational wave astronomy and diffusion processes in cellular interactions. He collaborates internationally across mathematics and physics. Notable publications include 'Calderón inverse problem with partial data on Riemann surfaces' with C. Guillarmou (Duke Mathematical Journal, 2011), 'Stability estimates for coefficients of magnetic Schrödinger equation from full and partial boundary measurements' (Communications in Partial Differential Equations, 2008), 'Carleman estimates and inverse problems for Dirac operators' with M. Salo (Mathematische Annalen, 2009), 'A variational principle for gradient flows' with N. Ghoussoub (Mathematische Annalen, 2004), and 'Identification of a connection from Cauchy data on a Riemann surface with boundary' with C. Guillarmou (Geometric and Functional Analysis, 2010). Recent works encompass 'Generalized boundary rigidity and minimal surface transform' with T. Liimatainen, L. Busch, and M. Salo (2025) and 'Rates and Architectures for Learning Geometrically Non-trivial Operators' with T. Roddenberry, I. Dokmanić, M. de Hoop, and R. Baraniuk (2025). He contributes to teaching, coordinating Complex Analysis (MAST30021). His contributions advance understanding in inverse problems and partial differential equations through rigorous analytical methods.