**Hugo Duminil-Copin**

For solving longstanding problems in the probabilistic theory of phase transitions in statistical physics, especially in dimensions three and four.

**June Huh**

For bringing the ideas 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 the theory of Lorentzian polynomials, and the proof of the strong Mason conjecture.

**James Maynard**

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

**Maryna Viazovska**

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