Thomas M. (Tom) Hutchcroft
Thomas M. (Tom) Hutchcroft
Gordon and Betty Moore Professor of Mathematics
B.A. and MMath, University of Cambridge, 2013; Ph.D., University of British Columbia, 2017. Professor, Caltech, 2021-25; Moore Professor, 2025-.
Research Interests: Probability Theory, Mathematical Physics, Group Theory, Ergodic Theory, and Metric Geometry
Overview
Professor Thomas Hutchcroft is a probability theorist working on phase transitions and critical phenomena. Professor Hutchcroft is particularly interested in how the behavior of probabilistic processes are affected by their spatial structure. His core goals over the next few years are to develop theories of critical phenomena in three dimensions and to settle long-standing open problems about probability in non-Euclidean geometry.
Selected Awards
- Whitehead Prize from the London Mathematical Society, 2025; "for solving numerous fundamental problems in several areas of probability theory. He has exhibited deep creativity and ingenuity, primarily in the interplay between the geometry of graphs (especially Cayley graphs of groups) and the behavior of probabilistic processes on them."
- Packard Fellowship for Science and Engineering, 2024
- European Mathematical Society (EMS) prize, 2024; "for his revolutionary contributions to probability theory and geometric group theory, in particular to percolation theory on general graphs, using tools from geometry, operator theory, group theory and functional analysis."
- Journal of Mathematical Physics (JMP) Young Researcher Award, 2023
Selected Awards
- Whitehead Prize from the London Mathematical Society, 2025; "for solving numerous fundamental problems in several areas of probability theory. He has exhibited deep creativity and ingenuity, primarily in the interplay between the geometry of graphs (especially Cayley graphs of groups) and the behavior of probabilistic processes on them."
- Packard Fellowship for Science and Engineering, 2024
- European Mathematical Society (EMS) prize, 2024; "for his revolutionary contributions to probability theory and geometric group theory, in particular to percolation theory on general graphs, using tools from geometry, operator theory, group theory and functional analysis."
- Journal of Mathematical Physics (JMP) Young Researcher Award, 2023
Related Courses
Ma 2/102. Differential Equations.
9 units (4-0-5); first term, 2025-26.
Prerequisites: Ma 1 abc.
The course is aimed at providing an introduction to the theory of ordinary differential equations, with a particular emphasis on equations with well known applications ranging from physics to population dynamics. The material covered includes some existence and uniqueness results, first order linear equations and systems, exact equations, linear equations with constant coefficients, series solutions, regular singular equations, Laplace transform, and methods for the study of nonlinear equations (equilibria, stability, predator-prey equations, periodic solutions and limiting cycles).
Instructors: Babecki, Hutchcroft
Instructors: Babecki, Hutchcroft