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.
Research Interests
 Mathematical Relativity
 Solutions of the Einstein constraint equations
 The nature of cosmological solutions in the neighborhood of the big
bang
 Cosmic censorship
 Ricci Flow
 Ricci flow of geometries with symmetry
 Stability of converging and of collapsing Ricci flows
 Nonlinear Wave Equations
 Critical behavior in wave maps
 Singularities in Lorentz wave maps
 Momentum maps and classical field theory
Recent Papers
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Classes Taught 20042005
 Fall Quarter
 Math 411/511: Complex Analysis
 Math 637: Differential Geometry
 Winter Quarter
 Math 412/512: Complex Analysis
 Math 638: Differential Geometry
 Spring Quarter
 Math 639: Differential Geometry
Classes Taught 20032004
 Fall Quarter
 Math 420/520: Ordinary Differential Equations
 Math 607: Mathematical General Relativity
 Winter Quarter
 Math 421/521: Partial Differential Equations and Fourier Series
 Math 242: Business Calculus
 Spring Quarter
 Math 422/522: Partial Differential Equations and Fourier Series
Other Stuff
 Farm:
 Brownsville
community service:
 Planning commission
 Library board

Topical Group in Gravitation
 Some Random Pictures
Last Updated June 2004