I just thought of one of the most fascinating stories in the world of mathematics: that of the Russian Grigori Perelman. This kind of person achieved something that seemed impossible, solving a problem that had gone almost a hundred years without a solution. We’re talking about the Poincaré conjecture, and here’s what’s interesting: Perelman was the only one to prove it, becoming the only mathematician who has solved one of the seven Millennium Prize Problems.

To understand what Perelman did, imagine it simply like this. The Poincaré conjecture basically says: if you have a closed three-dimensional space with no holes, then it’s equivalent to a three-dimensional sphere. It sounds complicated, but think about it this way: if something has no holes through it, it’s like a sphere. If it has a hole, it’s like a donut. That’s the whole idea. In abstract mathematics, this is huge because it applies to any imaginable three-dimensional space, not just physical objects.

What surprises me most about Grigori Perelman is how he presented his work. No spectacular conferences or press conferences. Between 2002 and 2003, he simply published his papers on arXiv, an open server where mathematicians share research. Everything was there: his complete proof using Ricci flow and geometric topology. No intermediaries, no drama—just pure mathematics accessible to anyone who wanted to verify it.

The mathematical community took years to review everything because the demonstration was incredibly complex. But Perelman was right. In 2006, he received the Fields Medal, one of the most prestigious awards in mathematics. Then, in 2010, he was offered the Clay Mathematics Institute prize, which included one million dollars. And here’s the crazy part: he rejected both awards.

The reason Perelman gave was brutal in its simplicity: why would he need awards and money if he knew how to handle the world? That direct. He saw problems in how the mathematical community is structured, in how recognition is distributed, and decided he wasn’t interested in participating in that system.

Since then, Grigori Perelman has completely stepped away from academic life. He doesn’t go to conferences, doesn’t publish new work, and doesn’t work at universities. He finished his career around 2005-2006 and practically disappeared from the public radar. He lives in Saint Petersburg, leads a very private and reclusive life. There are videos of him in supermarkets buying cheap items and paying in cash. He lives with his mother in a modest apartment, never married, no children—completely detached from any aspirations for material comfort or fame.

What fascinates me about Perelman is that he represents something rare: a genius who genuinely doesn’t care about recognition. While many scientists seek visibility and awards, this guy solved one of the greatest mathematical mysteries in the world and then simply left. That’s a level of detachment that almost doesn’t exist. Perelman demonstrated something fundamental: that true motivation in science can be nothing more than the pursuit of knowledge.