Welcome to my webspace. I am a PhD student in the Department of Mathematical Sciences at George Mason University. My original academic track was not in mathematics, but in computer science. I graduated from the University of Virginia in 1994 with a BS in Computer Science. From there, I spent 9 years in industry before deciding to go back to school to study math.

To prepare for graduate work in mathematics, I completed the undergraduate program in Mathematics in 2003 at George Mason and graduated magna cum laude with a BS in Mathematics and honors in major. From there, I received my MS in Mathematics from the University of Virginia in 2006. And now I have returned to George Mason to complete my PhD.

If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.

I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.

Which Springer GTM would you be? The Springer GTM Test