### About

Joel Smoller has done research in shock-wave theory, Navier-Stokes equations, systems of reaction-diffusion equations, dynamical systems (Conley Index Theory), and bifurcation theory (symmetry-breaking bifurcations). Recently, Smoller has been concerned with problems involving gravity, as described by Einsteins Theory of General Relativity (GR), on two different scales: (A) Stability of Kerr (rotating) Black Holes under various perturbations: scalar waves, Dirac Fields, electromagnetic waves, and gravitational waves. This is ongoing work with Felix Finster (University of Regensburg), and S.T. Yau (Harvard), and (B) astrophysical shock-waves, done with Blake Temple (University of California, Davis). Here we are mainly concerned with astrophysical problems including an explanation of the anomalous acceleration of the Universe, wholly within Einsteins equations of General Relativity, and avoiding the cosmological constant, and the notion of dark energy. He is also continuing an ongoing program of stellar dynamics, including rotating Newtonian stars, with Tao Luo, (Georgetown University).