Luca F. Di Cerbo, Simons Postdoctoral Fellow

Office Location:  220 Physics Building
Office Phone:  (919) 660-2850
Email Address: send me a message

Teaching (Spring 2014):

Office Hours:

Mondays 1:30 - 2:20
Wednesdays 2:00 - 4:00
and by appointment.
Education:

PhDStony Brook University2011
Laurea Specialistica in MathematicsUniversity of Rome "La Sapienza"2006
Laurea Triennale in PhysicsUniversity of Rome "La Sapienza"2004
Specialties:

Geometry
Research Interests: Complex geometry, gauge theory, locally symmetric varieties

Areas of Interest:

Differential geometry
Complex algebraic geometry
Global analysis on manifolds

Recent Publications

  1. G. Di Cerbo, L.F. Di Cerbo, A sharp cusp count for complex hyperbolic surfaces and related results (Submitted, December, 2013) [arXiv:1312.5368]
  2. L.F. Di Cerbo, Classification of Toroidal Compactifications with 3\bar{c}_{2}=\bar{c}^{2}_{1} and \bar{c}_{2}=1 (Submitted, September, 2013) [arXiv:1309.5516]
  3. G. Di Cerbo, L.F. Di Cerbo, Positivity questions in K\"ahler-Einstein theory (Submitted, February, 2013) [arXiv:1210.0218]
  4. G. Di Cerbo, L.F. Di Cerbo, Effective results for complex hyperbolic manifolds (Submitted, February, 2013) [arXiv:1212.0501v5]
  5. L.F. Di Cerbo, Seiberg-Witten equations on surfaces of logarithmic general type, Internat. J. Math., vol. 24 no. 9 (2013), pp. 23 [arXiv:1112.0694]
Selected Invited Lectures

  1. Some Results in Complex Hyperbolic Geometry, April 03, 2014, Columbia University    
  2. Some Results in Complex Hyperbolic Geometry, October 24, 2013, Princeton University    
  3. Some Results in Complex Hyperbolic Geometry, October 22, 2013, Johns Hopkins University & University of Maryland    
  4. Some Results in Complex Hyperbolic Geometry, September 24, 2013, Stony Brook University    
  5. Effective results for complex hyperbolic manifolds, July, 2013, Rome, Italy, at the conference "Geometria Algebrica nella Capitale"    
  6. Positivity in K\"ahler-Einstein theory and Hyperbolic geometry, June, 2013, Cabo Frio, Rio de Janeiro, Brazil at the conference "Algebraic & Hyperbolic Geometry-New Connections"    
  7. Positivity in K\"ahler-Einstein theory, April, 2013, Boston, at the AMS Eastern Section Meeting "Complex Geometry and Microlocal Analysis"    
  8. Positivity in K\"ahler-Einstein theory and Hyperbolic geometry, March 22, 2013, Vanderbilt University, Shanks Workshop "K\"ahler geometry on the edge"    
  9. Positivity questions in K\"ahler-Einstein theory, October, 2012, Stony Brook University    
  10. Positivity questions in K\"ahler-Einstein theory, October, 2012, Princeton University    
  11. K\"ahler-Einstein metrics with edge singularities on complex surfaces, June, 2012, University of Rome "La Sapienza"    
  12. Seiberg-Witten equations on manifolds with cusps, May, 2012, University of California at Riverside    
  13. Finite volume complex hyperbolic surfaces and their compactifications, April, 2012, Simons Center for Geometry and Physics    
  14. Finite volume complex hyperbolic surfaces, their toroidal compactifications, and geometric applications, January, 2011, University of Pennsylvania    
  15. Finite volume complex hyperbolic surfaces and Seiberg-Witten equations, October, 2010, Trento, Italy, at the conference "Progressi Recenti in Geometria Reale e Complessa"    
  16. Homogeneous Ricci solitons, May, 2008, Paris, Institute Henri Poincare'