Paul T Allen

Biography

• In January 2010, I will start as an assistant professor in the Department of Mathematical Sciences at Lewis and Clark College in Portland, OR.
• July - October 2009, I am spending at the Max Planck Institute for Gravitational Physics (Albert Einstein Institute).
• January - June 2007, I was an assistant professor of mathematics in the Interdisciplinary Arts & Sciences at the University of Washington - Tacoma.
• In the fall of 2008, I spent two months at the Mittag-Leffler Institute as part of their program "Geometry, Analysis, and General Relativity".
• I spent the 2007-2008 academic year with the Geometric Analysis & Gravitation division of the Max Planck Institute for Gravitational Physics (Albert Einstein Institute).
• In June 2007, I received my doctorate from the Department of Mathematics at the University of Oregon, under the supervision of Dr. James Isenberg.

Teaching

• I am not currently teaching any courses.

• TQS 125 Calculus with Analytic Geometry II (Spring 2009)
• TQS 390 Probability and Statistics in Engineering and Science (Spring 2009)
• TQS 307 Introduction to Differential Equations (Winter 2009)
• TQS 124 Calculus with Analytic Geometry I (Winter 2009)
• A list of courses I taught at the University of Oregon, 2001-2007.

Research

• Non-linear wave equations.
• Timelike minimal submanifolds of Lorentzian manifolds, also called membrane motion.
• Mathematical relativity, including the solvability of the constraint equations and long-time behaviour of solutions to the Einstein equations.

• Asymptotics of linearized cosmological perturbations, with Alan Rendall, to appear in J. Hyperbolic Differ. Equ.
• Timelike minimal submanifolds of general co-dimension in Minkowski space time, with Lars Andersson and James Isenberg. J. Hyperbolic Differ. Equ. 3 (2006), no. 4, 691--700.
• Near-Constant Mean Curvature Solutions of the Einstein Constraint Equations with Non-Negative Yamabe Metrics, with Adam Clausen and James Isenberg, Class. Quantum Grav. 25 (2008) 075009.

Contact Information at UWT

• Post:
  Interdisciplinary Arts & Sciences
  University of Washington, Tacoma
  Campus Box 358436
  1900 Commerce Street
  Tacoma, WA 98402-3100
  USA
  
  
• Electronic Mail:
  ptallen@u.washington.edu