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At a seminar, NYU’s Tristan Buckmaster reviewed the history of research on finite-time blowup for the Euler/Navier–Stokes equations and discussed how AI agents could change the way mathematics is done, saying that mathematics is approaching its “Deep Blue–Kasparov moment.” The article also describes using iterative feedback to get Gemini, Grok, and GPT-5 to solve IMO problems, as well as using Claude Code to conduct combinatorics experiments.
The inaugural 'Mathematics in the Age of AI' seminar at NYU Courant was packed, featuring Tristan Buckmaster's talk on breakthroughs in Euler equations with smooth forcing.
Anima Anandkumar describes a guest post on Terence Tao's blog detailing a method using Physics-Informed Neural Networks to find singular solutions for the Euler equations in fluid dynamics, highlighting its earlier release and broader applications in scientific computing.
This paper examines finite-time blowup with smooth forcing for three-dimensional incompressible Euler, Boussinesq, and IPM equations.