Leo Tzou

Leo Tzou is an Associate Professor in the School of Mathematics and Statistics within the Faculty of Science at the University of Melbourne. He earned his PhD in Mathematics from the University of Washington in 2007. Before joining the University of Melbourne, he held the position of Associate Professor at the University of Sydney School of Mathematics and Statistics. His academic career includes support from prestigious funding bodies such as the Australian Research Council, where he has received a Future Fellowship (FT130101346) and multiple Discovery Project grants including DP260103195, DP220101808, DP190103302, and DP190103451. Earlier grants include those from the Academy of Finland (AKA-251469, AKA-256378), the Swedish Research Council (2012-3782), the National Science Foundation (DMS-0807502), and the NSERC Postgraduate Doctoral Scholarship (2005-2007). Tzou serves on the Research and Industry Committee at his school.

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.

Professional Email: leo.tzou@unimelb.edu.au