Rate My Professor Jason Miller

Miller specializes in probability theory, focusing on random geometry, Schramm-Loewner evolution, Liouville quantum gravity, random planar maps, Gaussian free field, and stochastic processes from two-dimensional statistical mechanics. His landmark contributions include proving the equivalence between the Brownian map and the √(8/3)-Liouville quantum gravity sphere through a trilogy of papers with Scott Sheffield: 'Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric' (Inventiones Mathematicae, 2019), 'Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding' (Annals of Probability, 2021), and 'Liouville quantum gravity and the Brownian map III: the conformal structure is determined' (Probability Theory and Related Fields, 2021). Notable publications also encompass 'CLE percolations' (Forum of Mathematics, Pi, 2017) with Sheffield and Wendelin Werner, and 'Quantum Loewner evolution' (Duke Mathematical Journal, 2016) with Sheffield. These works have unified theories of random surfaces, providing metric definitions via SLE and elucidating scaling limits of discrete structures. Miller's accolades include the Rollo Davidson Prize (2015), Whitehead Prize (2016), Clay Research Award (2017), Doeblin Prize (2018), Leonard Eisenbud Prize and Fermat Prize (both 2023), Loève International Prize in Probability (2025), an ERC Consolidator Grant (2023), and election as Fellow of the Royal Society (2025). He delivered an invited lecture at the 2018 International Congress of Mathematicians.