2024 in Math: Breakthroughs and the Rise of AI
2024 was a landmark year for mathematics, marked by a series of significant breakthroughs. A team of nine mathematicians proved the geometric Langlands conjecture—an 800-page proof hailed as a crowning achievement—connecting disparate areas of mathematics. Further major advances were made in geometry, solving long-standing conjectures and providing surprising counterexamples. Concurrently, artificial intelligence made major strides, with Google DeepMind's AlphaProof achieving remarkable results in the International Mathematical Olympiad, hinting at AI's potential as a 'copilot' for future mathematical research. These achievements underscore not only the significant progress in mathematical understanding but also the transformative potential of AI in shaping the field's future.