Research
My research interests lie among Partial Differential Equations, Geometric Analysis, and Calculus of Variations.Publications
1. Global Regularity of Solutions to Systems of Reaction-Diffusion with Sub-Quadratic Growth in any dimension with A. Vasseur, Communications in PDEs, Volume 34, Issue 10, 2009, pages 1228 - 1250, pdf
2. Highly Degenerate Harmonic Mean Curvature Flow, with P. Daskalopoulos, Calculus of Variations and PDEs, Volume 35, Issue 3, 2009, 365--384, pdf
3. On the evolution of weakly convex hyper-surfaces by the $Q_k$ flow in any dimension N with P. Daskalopoulos and N. Sesum, to appear on Communications in PDEs, pdf
4. Minimally invasive surgery for Ricci flow singularities with S. Angenent and D. Knopf, submitted, pdf
5. Time Scales: from Nabla Calculus to Delta Calculus and viceversa via Duality, submitted, pdf
6. Highly Degenerate Harmonic Mean Curvature Flow Ph.D. Thesis, pdf