Tai Melcher

Associate Professor

P. O. Box 400137
Dept. of Mathematics
205 Kerchof Hall

Research Areas

Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups (with F. Baudoin and M. Gordina), Transactions of the AMS, 365, 4313-4350, 2013.

Heat kernel analysis on semi-infinite Lie groups, J. Functional Analysis 257(11) (2009), 3552-3592.



  • Bachelor of Science (BS), Tufts University
  • Master of Arts (MA), University of California, San Diego
  • Doctor of Philosophy (PhD), University of California, San Diego

Research Projects

  • Stochastic processes in non-Euclidean spaces
    • Project sponsored by U.S. NSF - Directorate Math. & Physical Sciences