Research
I am a Ph.D. candidate at the University of Texas at Austin, who is very excited to be graduating in May. My advisor is Dr. Karen Uhlenbeck. I am interested in nonlinear dispersive equations, harmonic analysis and gauge theory.
Papers & Presentations:
Local well-posedness for the 2+1 dimensional Monopole Equation. Preprint.pdf AMS Talk pdf
Well-posedness for the space-time Monopole Equation and Ward Wave Map.Ph.D. Thesis. (In preparation.)
On the existence of Coulomb gauges, with Karen Uhlenbeck. (In preparation/progress.)
Teaching
This semester I am a Graduate Research Assistant.
Previous Teaching Assignments:
- Fall 2007: M316K Foundations of Arithmetic, Instructor.
- Fall 2006: M305G Precalculus, Instructor.
- Spring 2006: M408M Multivariable Calculus, TA & SI Leader through the UT Learning Center.
- Fall 2004: M340L, Office Hours for Linear Algebra, and grader for M341, Applied Linear Algebra.
- Spring 2004: M408D, Calculus, TA
- Fall 2003: Grader for Undergraduate Analysis.
- Spring 2003: M427k, Differential Equations, TA.
- Summer 2003: M408L, Calculus, TA.
- Fall 2002: M408C, Calculus, TA.
- Spring 2002: Modern Geometry, Grader.
- Fall 2001: M408C, Calculus, TA.