Gregory Chambers

Gregory Chambers is an Assistant Professor of Mathematics at Rice University, where he has been appointed since 2017. He specializes in metric geometry and geometric analysis, with research interests encompassing systolic geometry, minimal surfaces, and quantitative topology. Chambers obtained his B.S. and M.S. degrees in 2009 and Ph.D. in 2014 from the University of Toronto, with his doctoral dissertation titled "Optimal homotopies of curves on surfaces." Prior to Rice University, he held the position of L.E. Dickson Instructor at the University of Chicago. In addition to his research, Chambers is actively involved in teaching advanced courses such as MATH 410: Calculus of Variations and MATH 427/517: Complex Analysis during the spring 2025 semester. He directs the Geometry Lab, an undergraduate research program hosted by the Department of Mathematics at Rice University, welcoming students interested in geometry. Furthermore, he serves as a member of the graduate admissions committee for the 2025-2026 academic year, alongside colleagues Shelly Harvey, Christopher Leininger, and Brandon Levin.

Chambers has published extensively in prestigious journals, contributing significantly to geometric analysis and related fields. Notable publications include "Existence of minimal hypersurfaces in complete manifolds of finite volume" with Y. Liokumovich (Inventiones Mathematicae 219, 2020, pp. 179-217); "Quantitative null-cobordism" with D. Dotterrer, F. Manin, and S. Weinberger (Journal of the American Mathematical Society 31, 2018, pp. 1165-1203); "Proof of the Log-Convex Density Conjecture" (Journal of the European Mathematical Society 21, 2019, pp. 2301-2332); "Constructing monotone homotopies and sweepouts" with E. W. Chambers, A. de Mesmay, T. Ophelders, and R. Rotman (Journal of Differential Geometry 119, 2021, pp. 383-401); "Geodesic nets on non-compact Riemannian manifolds" with Y. Liokumovich, A. Nabutovsky, and R. Rotman (Journal für die reine und angewandte Mathematik 799, 2023, pp. 287-303); and "Quantitative nullhomotopy and rational homotopy type" with F. Manin and S. Weinberger (Geometric and Functional Analysis 28, 2018, pp. 563-588). His recent preprints explore topics such as diameter and mean curvature, the cubical relative isoperimetric problem, Kalai's 3D conjecture, minimal higher genus fillings, and Uryson width of hyperbolic surfaces. These works address fundamental questions in isoperimetric problems, homotopies, and minimal structures on manifolds.

Professional Email: gchambers@rice.edu