1.瑞士日内瓦大学/法国高等科学研究所教授 Hugo Duminil-Copin 获奖理由:表彰其解决统计物理学中相变概率理论中长期存在的问题,尤其在三维和四维方面。 for solving longstanding problems in the probabilistic theory of phase transitions in statistical physics, especially in dimensions three and four. 2.美国普林斯顿高等研究院 June Huh 获奖理由:表彰其将霍奇理论的思想引入组合学,证明了几何格(geometric lattice)的 Dowling–Wilson 猜想,以及拟阵的 Heron–Rota–Welsh 猜想,发展了洛伦兹多项式,证明了强梅森猜想。 for bringing the ideas of Hodge theory to combinatorics,the proof of the Dowling-Wilson conjecture for geometriclattices,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. 3.英国牛津大学教授 James Maynard 获奖理由:表彰其对解析数论的贡献,在理解素数的结构和丢番图近似方面取得了重大进展。 for contriibutions to analytic numbertheory,which have led to major advances in the understanding of the structure of prime numbers and in Diophantine approximation. 4.瑞士洛桑联邦理工学院教授 Maryna Viazovska 获奖理由:表彰其证明 E8 格在 8 维中提供了相同球体的最密集堆积法,并对傅立叶分析中的相关极值问题和插值问题作出了进一步的贡献。 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. 菲尔兹奖以加拿大数学家约翰·查尔斯·菲尔兹(John Charles Fields)的名字命名,每四年评选出 2-4 名有卓越贡献且年龄不超过 40 岁的数学家,获奖者须在该年元旦前未满 40 岁。 官方网址:https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2022