kottke.org posts about Fields Medal

Doing math like a girlAug 12 2014

The Fields Medal is viewed as the greatest honor in mathematics; the Nobel of math. Today, Iranian mathematician Maryam Mirzakhani became the first woman (and Iranian) to win a Fields Medal.

Maryam Mirzakhani has made stunning advances in the theory of Riemann surfaces and their moduli spaces, and led the way to new frontiers in this area. Her insights have integrated methods from diverse fields, such as algebraic geometry, topology and probability theory.

In hyperbolic geometry, Mirzakhani established asymptotic formulas and statistics for the number of simple closed geodesics on a Riemann surface of genus g. She next used these results to give a new and completely unexpected proof of Witten's conjecture, a formula for characteristic classes for the moduli spaces of Riemann surfaces with marked points.

In dynamics, she found a remarkable new construction that bridges the holomorphic and symplectic aspects of moduli space, and used it to show that Thurston's earthquake flow is ergodic and mixing.

Most recently, in the complex realm, Mirzakhani and her coworkers produced the long sought-after proof of the conjecture that - while the closure of a real geodesic in moduli space can be a fractal cobweb, defying classification - the closure of a complex geodesic is always an algebraic subvariety.

Get all that? Adolescent math fans, you have a new role model. She does math like a girl. Here's more on Mirzakhani from Quanta Magazine.

Mathematician Terence Tao won both the FieldsMar 14 2007

Mathematician Terence Tao won both the Fields Medal and a MacArthur genius grant last year. To dumb it down for all you Fields Medal non-winners out there, that's like doing Miss America and Miss Universe at the same time.

A short interview with Grigory Perelman, theAug 28 2006

A short interview with Grigory Perelman, the Russian mathematician who proved the Poincare conjecture and turned down the Fields Medal. "Newspapers should be more discerning over who they write about. They should have more taste." (thx pedro)

Grigory Perelman, who I posted about lastAug 22 2006

Grigory Perelman, who I posted about last week, has indeed won the Fields Medal for his possible proof of the Poincare Conjecture but declined the award. The current New Yorker has an article (not online) about the whole deal which I have yet to read.

With math immortality, the Fields Medal, and $1Aug 17 2006

With math immortality, the Fields Medal, and $1 million on the line, an eccentric Russian mathematician comes from out of nowhere, proves the Poincare conjecture, and then disappears again. A whodunnit with thousands of pages of mathematical formulas.

Tags related to Fields Medal:
mathematics Poincare conjecture Grigory Perelman

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