Jim Isenberg


Jim Isenberg

10C Deady and 449 Willamette
isenberg@uoregon.edu
(541) 346-4725

A.B. (1973) Princeton, Ph.D. (1979) Maryland.
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Photo credit Renate Schmid

James A. Isenberg works on partial differential equations and geometric analysis, with an emphasis on general relativity and geometric heat flows. He is currently focusing on the study of solutions of the Einstein constraint equations, on strong cosmic censorship and the nature of singularities in general relativistic models of the universe, and on the formation of singularities in Ricci flow and mean curvature flow. The author of over 120 papers and 5 books, he has held visiting positions at Oxford, Paris, Potsdam, Stockholm, Vienna, and Canberra, as well as at several places in this country.

Research Interests

  1. Mathematical Relativity
    • Solutions of the Einstein constraint equations
    • The nature of cosmological solutions in the neighborhood of the big bang
    • Cosmic censorship
  2. Geometric Heat Flow
    • Ricci flow of geometries with symmetry
    • Stability of converging and of collapsing Ricci flows
    • Asymptotic behavior of neckpinches in Ricci flow and mean curvature flow
    • Solutions of the RG-2 (Renormalization Group) Flow
  3. Nonlinear Wave Equations
    • Critical behavior in wave maps
    • Singularities in Lorentz wave maps
    • Long time behavior of timelike minimal submanifolds
  4. Momentum maps and classical field theory

Papers

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Classes Taught 2016-2017
  1. Winter Quarter
    • Math 411: Complex Analysis I
    • Math 422: Partial Differential Equations
  2. Spring Quarter
    • Math 412: Complex Analysis II
    • Math 607: Yang-Mills Theory

Last Updated January 2017

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