Luca F. Di Cerbo, Simons Postdoctoral Fellow

Contact Info:

Office Location:	220 Physics Building
Office Phone:	(919) 660-2850
Email Address:

Teaching (Fall 2013):

• MATH 625.01, RIEMANN SURFACES Synopsis

  Physics 235, MWF 12:00 PM-12:50 PM

Office Hours:

During the summer by appointment.

Education:

PhD	Stony Brook University	2011
Laurea Specialistica in Mathematics	University of Rome "La Sapienza"	2006
Laurea Triennale in Physics	University 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   (More Publications)

1. G. Di Cerbo, L.F. Di Cerbo, Positivity questions in K\"ahler-Einstein theory (Submitted, February, 2013)  [author's comments]
2. G. Di Cerbo, L.F. Di Cerbo, Effective results for complex hyperbolic manifolds (Submitted, February, 2013)  [author's comments]
3. L.F. Di Cerbo, Generic Properties of Homogeneous Ricci Solitons, Adv. Geom. (Accepted, July, 2012)  [author's comments]
4. L.F. Di Cerbo, On K\"ahler-Einstein surfaces with edge singularities (Submitted, May, 2012)  [author's comments]
5. L.F. Di Cerbo, Finite-volume complex surfaces without cuspidal Einstein metrics, Ann. Glob. Anal. Geom., vol. 41 no. 3 (2012), pp. 371-380 [available here]

Selected Invited Lectures

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