Karen Uhlenbeck

Non-linear Analysis, Gauge Theory and Integrable Systems

Geometric Partial Differential Equations, The Calculus of Variations, (especially scale invariant problems) Gauge Theory (now mostly for wave and non-linear Schoedinger systems) Integrable Systems, Virasoro actions, Non-linear waves and non-linear Schroedinger Equations, (especially scale invariant problems).

I am a member of the geometry group in the mathematics department. The geometry group maintains a website with general and current information. http://www.ma.utexas.edu/users/plowrey/dev/

My recent research has been mainly on two subjects, with two groups of coauthors. I have written four papers of with Chuu-Lian Terng on the geometric aspects of integrable systems. With Andrea Nahmod and Atanas Stefanov I authored two papers on wave maps and Schoedinger maps. These are all posted on the LANL preprint server (in geometry or anaylsis).