Mang Wu
Department of Mathematics
University of Connecticut
Email: mwu@math.uconn.edu
Phone: (860) 486-9091


Latest:

I obtain my PhD in August 2010. My thesis advisor is Professor Maria Gordina. I will be a visiting assistant professor at the Department of Mathematics, University of California starting from Fall 2010.

Curriculum Vita:

Here is my curriculum vita.

Research Interests:

I am intrested in infinite dimensional analysis. My PhD research has been focused on stochastic and geometric analysis of two infinite-dimensional Lie groups. The two groups are Diff(S^1), the group of orientation preserving diffeomorphisms of the unit circle, and Sp(\infty), an infinite-dimensional group arises from certain symplectic representation of the group Diff(S^1). For stochastic analysis, I constructed Brownian motions on both groups. For geometric analysis, I computed Ricci curvature of the group Sp(\infty).

In BMSpInf.pdf, Gordina and I studied the relations between the group Diff(S^1) and Sp(\infty). We also constructed a Brownian motion on the group Sp(\infty). In RicciSpInf.pdf, following the methods in Gordina's paper, I calculated the Ricci curvature of the group Sp(\infty). In BMDiffS1.pdf, I constructed a Brownian motion on the group Diff(S^1).

My research area is highly interdisciplinary. To do stochastic analysis on infinite dimensional Lie groups, we necessarily need the tools from stochastic analysis, functional analysis, differential geometry, Lie groups and Lie algebras, representation theory. In doing the research, I also found uses of harmonic analysis and theory of partial differential equations.

Teaching:

I am teaching Math2110Q: Multivariable Calculus in fall 2009.

Computer:

I know Java/C++ pretty well. Now I am learning php. Here is the Office Assignment page and the Graduate students and their advisors page written in php.

Publications:

  1. M. Wu, Brownian motions on the group of diffeomorphisms of the unit circle, submitted
  2. M. Gordina and M. Wu, Diffeomorphisms of the circle and Brownian motions on an infinite dimensional symplectic group, Communication on Stochastic Analysis (published)
  3. M. Wu, The lower bound of the Ricci curvature of the group Sp(\infty), preprint