Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan

A flash of proof

It has been reported that in January 2011 the young mathematician Hussein Mourtada leapt onto his desk and started dancing — and who could blame him? After years of following a hunch from his dissertation, he and collaborators found a way to show that certain singularities in algebraic curves hide a deep structure that reproduces identities first written down by Srinivasa Ramanujan a century ago. The upshot: what looked like isolated, mysterious formulas are turning up naturally in algebraic geometry, and Mourtada’s decade-long effort is yielding whole families of new Ramanujan-like identities.

The long tail of a prodigy

Ramanujan’s story reads like myth: poor, largely self-taught, sending letters to British mathematicians until G.H. Hardy recognized his gift. It has been reported that Hardy later quipped that discovering Ramanujan was his greatest contribution to mathematics. Ramanujan allegedly said his formulas came to him from the gods; whether divine or dogged, the formulas themselves have proven uncanny. Partition identities he wrote down have since resurfaced in statistical mechanics, knot theory, string theory, representation theory and now in the geometry of singular spaces. “It turned out that these kinds of results have basically occurred in almost every branch of mathematics,” says Ole Warnaar — a strange, wonderful ubiquity that begs the question: how can one mind leave fingerprints across an entire discipline?

Why mathematicians care

This isn’t nostalgia or intellectual archaeology. The connections are practical and generative. When number-theoretic identities appear inside geometric problems, they give researchers new tools to attack long-standing questions and spawn unexpected bridges between fields — sometimes with knock-on effects for physics. A century after Ramanujan’s notebooks circulated, they feel less like relics and more like a live thread running through contemporary math. The chase is on: mathematicians are still catching up, and every new proof or identity peels back another layer of a mind that keeps surprising us.

Sources: quantamagazine.org, Hacker News