Spyros Alexakis

Spyros Alexakis received his Ph.D from Princeton University under the supervision of Charles Fefferman in 2005. 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 Alexakis' homepage
• CV and Publications
• Past and Current Research

Selected Papers

• Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds with Rafe Mazzeo
• The decomposition of global conformal invariants: On a conjecture of Deser and Schwimmer
• On the decomposition of global conformal invariants II
• On the decomposition of global conformal invariants I