Winning the Fields Medal can make a mathematician part of the establishment, leading to increased expectations and responsibilities, which can constrain their freedom to explore and innovate.

I'm often referred to as the Mozart of math, having won the Fields Medal and the Breakthrough Prize in mathematics, and contributed groundbreaking work across a wide range of fields in mathematics and physics.

The issue with Nobel Prize winners is that they often get distracted by fame and committees, which prevents them from doing meaningful work afterwards.

It's important to recognize that competition can lead to a focus on trivial achievements rather than on what is truly valuable.

Grigori Perelman transformed the supercritical Navier-Stokes problem into a critical problem by introducing concepts like reduced volume and permanence entropy, which simplified the analysis of singularities.

AlphaProof achieved a silver medal level of performance in the International Mathematics Olympiad, solving extremely challenging problems that only a small percentage of contestants could solve.

The Institute for Advanced Study often keeps talented individuals from exploring new ideas, as they tend to focus on past successes rather than new challenges.

The mathematical community is a collective intelligence that surpasses any individual mathematician, as seen in collaborative platforms like MathOverflow, where diverse expertise contributes to solving complex problems.

When physicists need mathematics, they often rely on precursors developed by mathematicians, as seen when Einstein sought help from mathematicians for curved space.