Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Spyros Alexakis

Spyros Alexakis received his PhD from Princeton University in 2005 under the supervision of Charles Fefferman.  In his thesis, he proved a special case of the Desser-Schwimmer conjecture in conformal geometry. More recently he proved the full case. This conjecture characterizes all pointwise Riemannian invariant polynomials in the metric tensor and its derivatives whose integrals over a compact manifold without boundary are invariant under conformal deformations.  Spyros was appointed as a Clay Research Fellow for a term of two years beginning July 2009.