Department of Mathematics

Thomas H Parker

Picture of Thomas H Parker

Professor

  • Ph.D., Stanford University, 1980


Research Interests

My research is in geometric analysis and its connections with mathematical physics.  It involves intriguing combinations of ideas and techniques from several different fields, including algebraic geometry, differential geometry, topology, and partial differential equations. My recent work uses PDE and analysis methods to study Gromov-Witten invariants.

Selected Publications
  • The Goparkumar-Vafa formula for symplectic manifolds (with Eleny Ionel)   Open
  • Spin Hurwitz numbers and the Gromov-Witten invariants of Kahler Surfaces (with Junho Lee), Comm. Analysis & Geometry, 21, No. 5, (2013).  Open
  • Relative Gromov-Witten Invariants, Annals of Math., 157 (2003), 1-52 (with E.-N. Ionel).  Open
  • Bubble Tree Convergence for Harmonic Maps, J. Diff. Geometry 44 (1996), 595-633.  Open
  • The Yamabe Problem, Bulletin of the AMS 17 (1987), 37-91 (with J. M. Lee).  Open