David Ambrose

A picture of David Ambrose sitting at his desk at the Courant Institute.
I am an Assistant Professor in the Department of Mathematical Sciences at Clemson University.

See my research papers.

I am co-organizer of the Analysis Seminar in the Department of Mathematical Sciences.

Research

I am an applied analyst, and am most interested in problems arising in fluid dynamics. The analytical methods I use are closely related to numerical methods. For my thesis, I proved well-posedness for a vortex sheet with surface tension. With Mike Shelley at Courant, I have started to work in scientific computing, also. I am continuing to work on analysis and computation of free-surface problems in 2D fluids, and I am extending the methods to 3D fluids.

Teaching

In the fall of 2007, I am teaching MTHSC 108 (Calculus of a Single Variable II) and MTHSC 821 (Linear Analysis).

I have taught Advanced Calculus I and II (453 and 454) and Linear Algebra (311) in previous semesters at Clemson. As a Courant Instructor at NYU’s Courant Institute, I taught Precalculus, Mathematical Modeling, Advanced Calculus I, Vector Analysis, and Calculus I. Before that, I taught various calculus classes at Duke. In the summer of 2002, I taught Algebra II at TIP; in the summer of 2004, I taught There's Something About Infinity at TIP. I have also been a TA at CMU (as an undergraduate) and Duke (as a grad student).