The Undergraduate Who Solved a Problem Mathematicians Couldn't

John Pardon emerged as an exceptional geometer while still an undergraduate at Princeton, when he solved Mikhail Gromov’s 1983 knot-distortion problem after an early approach failed. His 2011 Annals paper proved that the distortion of certain torus knots grows without bound. After a Stanford Ph.D. with Yakov Eliashberg, Pardon developed influential work on three-manifold group actions, virtual fundamental cycles, Fukaya categories and holomorphic curves. In 2026, those achievements brought him a Fields Medal.

Pardon's career shows how a single stubborn problem can open into an entire mathematical program. His undergraduate solution to Gromov's knot-distortion question combined geometry, topology and analysis, but it was only the beginning. He later attacked foundational problems in symplectic geometry, where defining virtual fundamental cycles and counting holomorphic curves requires extraordinary technical precision. His 2026 Fields Medal recognizes both this depth and an unusual ability to move between distant areas of.