Álvaro Lozano-Robledo: what to tell math students as AI advances

What should we tell our students?

In a guest post, Álvaro Lozano-Robledo argues that students who love math should not drop plans for a math PhD just because LLMs are improving. His own research output tripled in a few months, and he treats LLMs as research collaborators that still need a mathematician's guidance and intuition. He also says he cannot know whether AI will surpass all human math research ability, and offers the "convex hull" of existing mathematical ideas as a hypothesis for where model limits lie.

Why it matters: A math professor answers students' career anxiety from his own research and teaching, grounding the PhD decision in academic interest and professional growth.