Darren Long

Professor of Mathematics
Life philosophy: It's never too late to beef up your obituary

Office: 6519 South Hall
Tel: (805) 893-2629 (Disconnected for budgetary reasons)
Fax: (805) 893-2385 (Fax!? Who the heck uses fax any more. Send me a scan)
Email: long@math.ucsb.edu

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

Postal Address:

Department of Mathematics
University of California,
Santa Barbara, CA 93106



  • Topology Seminar

  • UCSB Mathematics Colloquium

    I am currently the Managing Editor for Topology and its Applications and an Adviser for the London Mathematical Society. For information about these journals, or for instructions on how to submit a paper, click on the links below.

  • Topology and its Applications

  • London Mathematical Society

    100% Micro$oft

    Last modified: 24 September 2019