Hugo Duminil-Copin, 


University of Geneva, IHES. 


Awarded the Field Medal for solving long standing problems in the probabilistic theory of phase transitions and statistical physics, especially in dimensions 3 and 4.






June Huh,


Princeton University.


... for bringing the idea of Hodge theory to combinatorics, the proof of the Dowling-Wilson conjecture for geometric lattices, the proof of the Heron-Rota-Welsh conjecture for matroids, the development of Lorentzian polynomials, and the proof of the strong Mason's conjecture.






James Maynard,


University of Oxford.


... for contributions to analytic number theory, which have led to major advances in the understanding of the structure of the prime numbers and in Diophantine approximations.






Maryna Viazovska,


EPFL.


... for the proof that the E8 lattice provides the densest packing of identical spheres in 8 dimensions, and further contributions to related extremal problems and interpolation problems in Fourier analysis