Hi, I'm Howard Beck!

I am a second-year math PhD student advised by Allen Yuan at Northwestern University, where I also received a master's degree in mathematics. Before that, I graduated from the Massachusetts Institute of Technology (MIT) with a bachelor's degree in mathematics (in the now-retired pure math track).

Contact information:
Howard Beck (he/him, IPA: [haʊɚd] [bɛk])
(firstinitial)(lastname)[at]u[dot]northwestern[dot]edu (a futile attempt at spam protection)

CV. Last updated as of September 5th, 2026.

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