Welcome to Steve Rosenberg's Home Page

Office: MCS 276
Office Hours: On leave this semester
Email: (insert my two initials)@math.bu.edu


My research interests in pure math are in differential geometry in finite and infinite dimensions, particularly with applications to/from mathematical physics. Recently, I've been looking at applications of differential geometry to statistics and machine learning, exotic characteristic classes and diffeomorphism groups of manifolds, and the Riemannian geometry of moduli spaces of pseudoholomorphic curves.

Here is a list of available articles.

My book, "The Laplacian on a Riemannian Manifold," now in its second (corrected) printing, is also available. The book covers Hodge theory, basics of differential geometry, heat flow on functions and forms, the heat equation/supersymmetric proof of the Chern-Gauss-Bonnet theorem, an overview of the Atiyah-Singer Index Theorem, the zeta function for Laplacians and analytic torsion. There are lots of exercises. The price is $165.00 for hardcover (ISBN 0 521 46300 9) and $62.00 for paperback (ISBN 0 521 46831 0). You can order copies (no upper limit) from the publisher, Cambridge University Press. Alternatively, you can view the book here. Feel free to download it, but consider making a donation to a good cause in lieu of buying the text. I would like to thank CUP for allowing me to make the text available online, in contrast to some other math text publishers.

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Visitors since September 2, 1999

Creation Date: March 29,1996