Address: Department of Mathematics
               University of Connecticut
               196 Auditorium Rd.
               Storrs, CT 06269
Email: cecil@math.uconn.edu
Office:  MSB 322
Phone:  (860) 486-3120

I am currently a Postdoctoral Fellow at the University of Connecticut. My research is in the areas of probability, functional analysis, and geometry. In particular, I am interested in heat kernel analysis on (often infinite dimensional) Lie groups and manifolds. Much of my research has focused on loop and path groups. Here is a current copy of my CV.

• The Taylor Map on Complex Path Groups, Journal of Functional Analysis, 254, pp. 318-367, 2008.   PDF   DVI
• Heat Kernel Measures on Loop and Path Groups (with B. Driver), Infinite Dimensional Analysis, Quantum Probability, and Related Topics, Vol. 11, 2, pp. 135-156, June 2008.   PDF   DVI
• The Ricci Curvature of Finite Dimensional Approximations to Path and Loop Groups, To appear in Bulletin des Sciences Mathematiques , 23 pgs.    PDF
• An Embedding of a Lie Group in the Universal Enveloping Algebra of its Lie Algebra, with Applications, Preprint.

Spring 2009: 

• MATH 2110-Multivariable Calculus.
• MATH 2784/2794W-Undergraduate Seminar I, II.

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