David Simmons-Duffin is a member of the School of Natural Sciences at the Institute for Advanced Study. His research focuses on strongly-coupled Quantum Field Theories, with a particular interest in theories with (possibly emergent) conformal symmetry. A publication list is available on Spires.
When not writing about himself in the 3rd person, David dabbles in musicianship, having sung tenor with the Harvard Collegium Musicum, Harvard University Choir, The Choir of Clare College Cambridge, Apollo’s Fire, Quire Cleveland, and Blue Heron. He also enjoys playing Baroque violin, and bungling through the Well-Tempered Clavier.
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