Luca Scala

Research

Research interests

• Cohomology of Hilbert schemes of points on a surface with values in representations of tautological bundles.
  
• Strange Duality on the projective plane and other complex surfaces
• Gauge Theory
  

Papers

• Cohomology of the Hilbert scheme of points on a surface with values in the double tensor power of a tautological bundle. C.R. Math. Acad. Sci. Paris, 343 (2006), no 11-12, 741-746.
• Dualité étrange de Le Potier et cohomologie du schéma de Hilbert ponctuel d une surface, Gaz. Math., 112, (2007), 53-65.
• McKay correspondence, Hilbert schemes and Strange duality, to appear in Quaderni di Matematica della Seconda Università di Napoli.
• Cohomology of the Hilbert scheme of points on a surface with values in representations of a tautological bundle, arXiv 0710.3072, submitted
• Some remarks on tautological sheaves on Hilbert schemes of points on a surface, submitted
• Perturbations of the metric in Seiberg-Witten equations, in preparation.

Teaching