Jim Isenberg 10C Deady and 449 Willamette jim@newton.uoregon.edu (541) 346-4725 A.B. (1973) Princeton, Ph.D. (1979) Maryland. Download CV

James A. Isenberg works on partial differential equations and differential geometry with an emphasis on applications in general relativity and mathematical physics. He is currently focusing on the study of the behavior of solutions of Einstein's equations, and on the use of geometric heat flows to analyze the relationship between topology and geometry. The author of over 85 papers, he has held visiting positions at Oxford, Paris, Potsdam, Vienna, and Canberra, as well as at a number of places in this country.

1. Mathematical Relativity
   
   • Solutions of the Einstein constraint equations
   • The nature of cosmological solutions in the neighborhood of the big bang
   • Cosmic censorship

2. Ricci Flow
   
   • Ricci flow of geometries with symmetry
   • Stability of converging and of collapsing Ricci flows

3. Nonlinear Wave Equations
   
   • Critical behavior in wave maps
   • Singularities in Lorentz wave maps

4. Momentum maps and classical field theory
   

• The Constraint Equations
  with Robert Bartnik
• Initial data engineering
  with Piotr Chrusciel and Daniel Pollack
• Gluing initial data sets for general relativity
  with Piotr Chrusciel and Daniel Pollack. accepted for publication by Physical Review Letters
• Critical Behavior in Ricci Flow
  with David Garfinkle
• Non CMC Conformal Data Sets Which Do Not Produce Solutions of the Einstein Constraint Equations
  with Niall O'Murchadha. Class. Quant. Grav. 21 (2004) S233-S242.
• On the topology of vacuum spacetimes
  with Rafe Mazzeo and Daniel Pollack. Ann. H. Poincare 4 (2003) 369-383.
• Asymptotic Behavior of Polarized and Half-Polarized U(1) symmetric Vacuum Spacetimes
  with Vince Moncrief. Class. Quant. Grav. 19 (2002) 5361-5386.
• Gluing and wormholes for the Einstein constraint equations
  with Rafe Mazzeo and Daniel Pollack. Commun. Math. Phys. 231 (2002) 529-568.
• Oscillatory approach to the singularity in vacuum spacetimes with $T^2$ isometry
  with Beverly K. Berger and Marsha Weaver. Phys. Rev. D64 (2001) 084006.
• Critical Phenomena in Nonlinear Sigma Models
  with Steven L. Liebling and Eric W. Hirschmann. J. Math. Phys. 41 (2000) 5691-5700.
• Einstein Constraints on Asymptotically Euclidean Manifolds
  with Yvonne Choquet-Bruhat and James W. York, Jr. Phys. Rev. D61 (2000) 084034.
• Momentum Maps and Classical Relativistic Fields. Part I: Covariant Field Theory
  with Mark J. Gotay and Jerrold E. Marsden.
• Stability of the Ricci flow at Ricci-flat metrics
  with Christine Guenther and Dan Knopf. Comm. Anal. Geom. 10 (2002), no. 4, 741-777.

• MathSciNet
• gr-qc ArXiv
• Mathematics ArXiv
• Google

1. Fall Quarter
   • Math 411/511: Complex Analysis
   • Math 637: Differential Geometry

2. Winter Quarter
   
   • Math 412/512: Complex Analysis
   • Math 638: Differential Geometry

3. Spring Quarter
   
   • Math 639: Differential Geometry

1. Fall Quarter
   • Math 420/520: Ordinary Differential Equations
   • Math 607: Mathematical General Relativity

2. Winter Quarter
   
   • Math 421/521: Partial Differential Equations and Fourier Series
   • Math 242: Business Calculus

3. Spring Quarter
   
   • Math 422/522: Partial Differential Equations and Fourier Series

1. Farm:
   • Jacob sheep
   • Colored angora goats
   • Farm Pictures

2. Brownsville community service:
   • Planning commission
   • Library board

3. Topical Group in Gravitation

4. Some Random Pictures