Rate My Professor Jason Miller

Miller's research focuses on Schramm-Loewner evolution, the Gaussian free field, Liouville quantum gravity, random planar maps, random walks, and mixing times for Markov chains. In collaboration with researchers such as Scott Sheffield and Ewain Gwynne, he has produced landmark results, including the establishment of the equivalence between the Brownian map and the √(8/3)-Liouville quantum gravity sphere through a series of papers utilizing Schramm-Loewner evolution to connect discrete structures to continuum scaling limits. Key publications include 'Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding' (The Annals of Probability, 2021, with S. Sheffield), 'Liouville quantum gravity and the Brownian map III: the conformal structure is determined' (Probability Theory and Related Fields, 2021, with S. Sheffield), 'An invariance principle for ergodic scale-free random environments' (Acta Mathematica, 2022, with E. Gwynne and S. Sheffield), 'Convergence of percolation on uniform quadrangulations with boundary to SLE₆ on √(8/3)-Liouville quantum gravity' (Astérisque, 2022, with E. Gwynne), and 'Convergence of the self-avoiding walk on random quadrangulations to SLE_{8/3} on √(8/3)-Liouville quantum gravity' (Annales Scientifiques de l'École Normale Supérieure, 2021, with E. Gwynne). Miller has received the Rollo Davidson Prize (2015), Whitehead Prize (2016), Clay Research Award (2017, jointly with Scott Sheffield), Doeblin Prize (2018), ERC Consolidator Grant (2023), Eisenbud Prize (2023), Fermat Prize (2023), and was elected a Fellow of the Royal Society in 2025. He delivered an invited lecture at the 2018 International Congress of Mathematicians.