Scientists / Open questions
John Pardon
Geometric topology; symplectic geometry
2026 Fields Medal
3 questions
Foundational extensions of Pardon's construction of contact homology: integral coefficients, nonequivariant framed -structure, DGA-level homotopies, Morse-Bott forms, and the full symplectic field theory package
The Lee -filtration as a link concordance invariant: strength relative to , effective computation, and relation to link Floer homology (Pardon's open problems)
Space-level framed bordism upgrade of virtual fundamental cycles for moduli spaces of pseudo-holomorphic curves (Pardon's implicit atlas framework)