What should we tell our students?
Summary
Álvaro Lozano-Robledo's guest post discusses how AI and large language models are transforming mathematics research and education, and it questions whether AI could replace human mathematicians. It argues that while AI will accelerate discovery, human intuition and the ability to teach, mentor, and communicate remain essential, and PhD decisions should be personal and passion-driven. The piece ends with an optimistic view that mathematical progress will continue, albeit with new workflows and responsibilities for students and educators.