Overview
- The International Mathematical Union announced the four Fields Medalists on Thursday, July 23, at the opening ceremony of the International Congress of Mathematicians in Philadelphia.
- Yu Deng of the University of Chicago was cited for advances in partial differential equations, including a rigorous derivation of the Boltzmann equation from hard‑sphere dynamics.
- John Pardon of Stony Brook was recognized for new methods in symplectic geometry that allow reliable counting of holomorphic curves and resolve a version of the MNOP conjecture for certain Calabi–Yau threefolds.
- Jacob Tsimerman of the University of Toronto was honored for extending o‑minimal techniques in arithmetic and complex algebraic geometry and for key results such as proofs related to the André–Oort and Griffiths conjectures, making him the first Fields Medalist based at a Canadian institution.
- Hong Wang of NYU and IHES won for major advances in harmonic analysis and geometric measure theory, including a 2025 proof resolving the three‑dimensional Kakeya problem, and she becomes only the third woman to receive a Fields Medal.