Larry Guth

Larry Guth is a Professor of Mathematics in the Department of Mathematics at the Massachusetts Institute of Technology (MIT), School of Science, renowned for transformative contributions across geometric disciplines.

His research excellence spans:

• Riemannian geometry: Solved long-standing problems concerning sharp volume estimates for k-cycles
• Symplectic geometry: Disproved higher-dimensional symplectic invariant conjectures through ingenious counterexamples
• Combinatorial geometry: Adapted finite-field Kakeya problem solutions to Euclidean spaces; established best-known restriction problem bounds with Jean Bourgain; resolved Erdös' distinct distance problem with Nets Katz—a landmark achievement in incidence geometry open since the 1940s

His work demonstrates exceptional creativity in bridging geometric subfields through novel analytical and combinatorial approaches.