Megan M. Kerr
Associate Professor of Mathematics
(last modified Apr. 17, 2008)
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Email: |
mkerr [at] wellesley
[dot] edu |
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US Mail: |
Department of Mathematics
Wellesley College
106 Central Street
Wellesley, MA 02481 |
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Office: |
Science Center 372 |
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Phone: |
(781) 283-3144 |
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Fax: |
(781) 283-3642 |
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Office Hours: |
Click here for current
hours. |
Education:
Ph.D.: University of
Pennsylvania,
1995.
Advisor: Wolfgang
Ziller.
Thesis: Homogeneous Einstein Metrics. (dvi
or ps)
B.A.: Wellesley
College, 1989.
Advisors: Martin
Magid, Fred
Shultz.
Research Interests:
Differential Geometry: My area of research is Riemannian
geometry,
specifically the global geometry of Lie groups. I am interested in
invariant
structures, such as Einstein metrics, on homogeneous and
low-cohomogeneity
manifolds.
Spring 2008 Teaching:
Math 115: Calculus I
Math
349: Matrix Groups: An Intro to Lie Groups
Fall 2007 Teaching:
Math
115: Calculus I
Spring 2007 Teaching:
Math
212: Differential Geometry
Math
225: Combinatorics and Graph Theory
Publications and Preprints:
``Some New Homogeneous Einstein Metrics on Symmetric Spaces,'' Transactions
of the A.M.S. 348 (1996), no. 1, pp. 153-171. (pdf
or ps)
``Homogeneous Einstein-Weyl Structures on Symmetric Spaces,'' Annals
of Global Analysis and Geometry 15 (1997), no. 5, pp.
437-445. (pdf
or ps)
``New Examples of Homogeneous Einstein Metrics,'' Michigan
Mathematical
Journal 45 (1998), pp. 115-134. (pdf
or ps)
``New Homogeneous Einstein Metrics of Negative Ricci Curvature,'' with
Carolyn S. Gordon, Annals of Global Analysis and Geometry 19
(2001), no. 1, pp. 75-101. (pdf
or ps)
``A Deformation of Quaternionic Hyperbolic Space,'' Proceedings
of the A.M.S. 134
(2006), no.
2, pp. 559-569. (pdf
or ps)
``Low Dimensional Homogeneous Einstein Manifolds,'' with Christoph Boehm, Transactions
of the A.M.S. 358 (2006),
no. 4, pp. 1455-1468. (pdf
or ps)
``The Geometry of Compact Homogeneous Spaces with Two Isotropy Summands,'' with
Will Dickinson,
Annals of Global Analysis and Geometry to appear.
(pdf)
``The Geometry of filiform nilpotent Lie groups,'' with Tracy Payne,
Rocky Mountain Journal of Mathematics to appear.
(pdf)
Useful links: