**Professor of Mathematics**

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

I were a Springer-Verlag Graduate Text
in Mathematics, I would be Frank Warner's 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 |

**3B Syllabus**: Posted here after the quarter has started.

**Research****Interests :**Low dimensional topology, for example hyperbolic 3-manifolds like this one (work with Morwen Thistlethwaite)

**Publications****Alfred P. Sloan Research Fellow 1990-92****Fellow of the A.M.S. 2013****Eta Invariants**This links to a text file containing the computation of the eta invariants of manifolds in the Snappea census with Chern-Simons invariant zero. (See publications**48**and**54**for the reason one might be interested in this.)

**Seminars**

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.

Last modified: 4 November 2013