Fields Medalist Terence Tao envisions an era of 'Big Mathematics' where AI transforms how humans tackle complex problems. Recent advances show systems from Google Deep Mind and Open AI reaching IMO gold-medal levels, while experimental AI Aletheia produced publishable Ph.D.-level research in arithmetic geometry.

The shift accelerates through proof assistants like Isabelle, Lean, and Rocq—tools that verify mathematical proofs step-by-step. Traditionally, mathematicians manually translated proofs into these formal systems, but large language models now automate this bottleneck. Math, Inc.'s Gauss system formalized Maryna Viazovska's Fields Medal-winning sphere-packing proof in days, demonstrating AI's capability to handle tasks once considered uniquely human.

At the Heidelberg Laureate Forum, Yang-Hui He of the London Institute for Mathematical Sciences warned humans could become 'priests to oracles' if AI achieves full mathematical autonomy. The audience's uneasy reactions revealed deeper concerns about preserving mathematics' fundamental joy: that 'wonderful feeling when you've been thinking long and hard about something complex, difficult, and then—all of a sudden—it just comes together.'

These developments force uncomfortable questions about discovery, creativity, and meaning in mathematical research. While AI excels at computation and formalization, the contemplative struggle that defines mathematical thinking faces unprecedented disruption.