2012 Clay Research Fellows

Ivan Corwin received his Ph.D in 2011 from the Courant Institute at NYU under the supervision of Gerard Ben Arous. His interests include probability, mathematical physics, and exactly solvable systems. One part of his research has been to compute exact formulas for the statistics of the solution to the Kardar-Parisi-Zhang non-linear stochastic PDE. This stochastic PDE and its statistics describe a large universality class of systems including growth processes, interacting particle systems, directed polymers in random environments, and less directly random matrix theory. He is currently employing representation theoretic techniques to provide more conceptual understanding of the observed integrability.

Ivan received his A.B. from Harvard College in 2006. He was a member of MSRI in fall 2010. He presently holds the Schramm Memorial Postdoctoral Fellowship at Microsoft Research New England and MIT.

Jack Thorne was born in 1987 in Hereford, England. He received his BA at the University of Cambridge in England. He has since studied at Harvard University and Princeton University under the direction of Richard Taylor and Benedict Gross. He will receive his PhD in May 2012. His primary research interests are algebraic number theory and representation theory, and the diverse connections between these two subjects. Most recently he has been interested in using automorphy lifting techniques to establish new cases of the Fontaine-Mazur conjecture.

Clay Research Fellows are selected for their research achievements and their potential to become leaders in research mathematics. All are recent Ph.D.'s, and most are selected as they complete their thesis work. Terms range from one to five years, with most given in the upper range of this interval.

Provided by The Clay Mathematics Institute