Meet Vincent Lafforgue, winner of the 2019 Breakthrough Prize in Mathematics for his elegant and groundbreaking contribution to the Langlands program, which builds bridges between separate mathematical fields. | Breakthrough

Alexander Zamolodchikov was honored with the 2024 Breakthrough Prize in Fundamental Physics for his significant contributions to statistical physics and quantum field theory, which have had far-reaching applications in both physics and mathematics. His research covers a range of areas, including emergent phenomena in magnetism and superconducting materials, the information content of black holes, and the topological properties of gauge theories. His work has deepened our understanding of fundame