Jeremy Kahn and Vladimir Markovic receive the 2012 Clay Research Award for their groundbreaking contributions to the study of hyperbolic Riemann surfaces. The award is a testament to their innovative work on essential immersed hyperbolic Riemann surfaces and the Ehrenpreis conjecture.
Ivan Corwin, a recent Ph.D. from NYU, and Jack Thorne, a Harvard University PhD candidate, were selected for their research achievements in probability, algebraic number theory, and representation theory. They will receive funding for one to five years to support their mathematical research.
Yves Benoist and Jean-François Quint received the Clay Research Award for their work on stationary measures and orbit closures. Jonathan Pila won the award for resolving the André-Oort Conjecture in the case of products of modular curves.
The Clay Mathematics Institute awards Dr. Perelman the Millennium Prize for resolving the Poincaré conjecture, a century-long quest in mathematics. Perelman's breakthrough proof uses the Ricci flow method and introduces new ideas and techniques.
The Clay Mathematics Institute presented the 2002 Clay Research Award to Oded Schramm and Manindra Agrawal for their groundbreaking work on the Loewner equation and primality testing, respectively. Agrawal's talk will discuss his ASK algorithm for polynomial-time primality testing.