Descriptions:
Lex Fridman sits down with Terence Tao — Fields Medal winner, Breakthrough Prize recipient, and widely regarded as one of the greatest mathematicians alive — for a conversation spanning the hardest open problems in mathematics and the growing role artificial intelligence is beginning to play in research. Tao has made landmark contributions across number theory, partial differential equations, combinatorics, and harmonic analysis, making his perspective on AI-assisted mathematics exceptionally credible.
Tao walks through his approach to intractable problems, using the Kakeya needle problem as a case study: isolating one difficulty at a time, solving it in a simplified setting, then progressively reintroducing complexity — a strategy he compares to a Hong Kong action hero who always manages to fight just one opponent at a time. He also describes how his daily workflow is changing: language models now let him write exploratory Python code for function plotting or iterative calculations in 10–15 minutes rather than the two hours it once required to recall syntax, debug boilerplate, and get results.
The conversation then turns to formal proof verification with the Lean programming language and whether computer-assisted proof systems — now capable of verifying major results — could eventually help close significant open problems. Tao offers a measured, expert assessment of what these tools genuinely do and do not yet accomplish, making this episode a rare, high-value window into how AI is actually reshaping the practice of cutting-edge mathematics.
📺 Source: Lex Fridman
🏷️ Format: Interview
