JUSTIN CORVINO
Assistant Professor of Mathematics

CONTACT INFO

Office: 214A Pardee Hall
Phone: (610) 330-5273
Fax: (610) 330-5721
Email: corvinoj@lafayette.edu

Mailing Address:

EXPERIENCE
I have been an Assistant Professor of Mathematics at Lafayette College since the fall of 2004. Prior to this, I was a Tamarkin Assistant Professor and an NSF Postdoctoral Research Fellow at Brown University in Providence, RI. During the Fall of 2008, I will be visiting the Mittag-Leffler Institute and the Royal Institute of Technology in Stockholm as a Fulbright Fellow . I will be participating in the programme "Geometry, Analysis, and General Relativity" at the Mittag-Leffler Institute and the "Geometry and Analysis" conference at KTH. You can read a bit more about it here .

TEACHING

Spring 2008. Math 264: Differential Equations. Math 386: Advanced Analysis. Math 386 Syllabus

Fall 2007. Math 161: Calculus I. Math 343: Advanced Multivariable Calculus. Math 343 Syllabus

AY 2006-2007. Fall. Math 161: Calculus I. Math 335: Probability. Spring. Math 336: Mathematical Statistics. Math 336 Syllabus

AY 2005-2006. Fall. Math 162: Calculus II. Math 343: Advanced Multivariable Calculus. Spring. Math 263: Calculus III. Math 381: Differential Geometry. Math 381 Syllabus

AY 2004-2005. Fall. Math 162: Calculus II. Spring Math 162: Calculus II. Math 312: Partial Differential Equations. Math 312 Syllabus

RESEARCH INTERESTS

Differential Geometry, General Relativity, Partial Differential Equations.

My research is currently partly supported by National Science Foundation grant DMS-0707317. You can read a bit about it here.

EDUCATION

Ph.D. Mathematics. Stanford 2000.

M.S. Mathematics. Stanford 1996.

B.S. Mathematics (Minor in Physics). MIT 1994.

PUBLICATIONS
 
On the Center of Mass in General Relativity. (Joint with Haotian Wu). Classical and Quantum Gravity 25 (2008)

On the Existence and Stability of the Penrose Compactification. Annales Henri Poincare'. 8 , 597-620 (2007)

Some Recent Results on the Einstein Constraint Equations. Oberwolfach Rep. 3 , no. 1, 83-87 (2006) Preprint (pdf)

On Isoperimetric Surfaces and General Relativity. (Joint with 2005 REU group). Pacific J. Math. 231 , no. 1, 63-84 (2007) Preprint (pdf)

A Note on Asymptotically Flat Metrics on R^3 which are Scalar-Flat and Admit Minimal Spheres. Proc. Amer. Math. Soc. 133 (2005), 3669-3678

On the Asymptotics of the Vacuum Einstein Constraint Equations. (Joint with Richard M. Schoen). Jour. Diff. Geom. 73, no.2, 185-217 (2006)

Constructions of Vacuum Spacetimes Symmetric Near Spatial Infinity. In: Gurzadyan, V.G., et. al. (eds.) Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity (Rome, 2000), pp. 993-994. Singapore: World Scientific, 2002

Scalar curvature deformation and a gluing construction for the Einstein constraint equations. Comm. Math. Phys. 214 , no. 1, 137--189 (2000)
REU
I led research groups in both the 2005 and the 2007 REU at Lafayette. The general topic for my groups has been differential geometry, with an eye toward general relativity. Please see the links below for more information. An article referenced in the following Project Description is available under PUBLICATIONS, above.

2007 Project Description

Lafayette REU

INVITED TALKS
Banff Workshop. December 13, 2007. Geometry and the Einstein Constraint Equations.
Lehigh University Geometry Seminar. November 28 and December 5, 2006. On the Einstein Constraint Equations.
Oberwolfach Meeting on Mathematical Aspects of General Relativity. January 9, 2006. Some Recent Results on the Einstein Constraint Equations.
Isaac Newton Institute Conference on the Einstein Constraint Equations. December 15, 2005. Some Applications of Scalar Curvature Deformation in General Relativity.
Lafayette College Physics Club/Sigma Xi World Year Physics Seminar. April 15, 2005. On the Structure of Isolated Systems in General Relativity.
Haverford Colloquium. November 8, 2004. Curvature, Topology and General Relativity.
Lafayette-Lehigh Geometry-Topology Seminar. October 19, 2004. The Einstein Constraint Equations.

Past Invited Talks.

Updated April 8, 2008.