Megan M. Kerr

Associate Professor of Mathematics

(last modified 1/24/13)
Email:  mkerr [at] wellesley [dot] edu
US Mail:  Department of Mathematics 
Wellesley College 
106 Central Street 
Wellesley, MA 02481
Office:  Science Center 372 
Phone:  (781) 283-3144 
Fax:  (781) 283-3642 
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.

Teaching:

  • Fall 2012:Math 116: Calculus II (sections 3 and 4)
  • Spring 2012: Math 225: Combinatorics and Graph Theory; Math 302: Elements of Analysis I
  • Fall 2011: Math 115: Calculus I; Math 312: Differential Geometry
  • Spring 2011: Math 214: Noneuclidean Geometry; Math 349: Knot Theory
  • Fall 2010: Math 206: Linear Algebra; Math 302: Elements of Analysis I
  • Fall 2009: Math 206: Linear Algebra; Math 312: Differential Geometry
  • On sabbatical in 2008-09.
  • Spring 2008: Math 115: Calculus I; Math 349: Matrix Groups: An Intro to Lie Groups
  • Fall 2007: Math 115: Calculus I
  • Spring 2007: 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 Böhm, 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 34 (2008), no. 4, pp. 329-350. (pdf)
  • ``The Geometry of filiform nilpotent Lie groups,'' with Tracy Payne, Rocky Mountain Journal of Mathematics 40 (2010), no. 5, pp. 1587-1610. (pdf)
  • ``Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions,'' with Andreas Kollross, to appear in Geometriae Dedicata, DOI: 10.1007/s10711-012-9795-0. (pdf)
  • ``Nonnegatively curved homogeneous metrics in low dimensions,'' with Andreas Kollross, to appear in Annals of Global Analysis and Geometry, DOI: 10.1007/s10455-012-9345-x. (pdf)
  • ``A note on quasi-positive curvature conditions,'' with Kristopher Tapp, submitted 2012 (pdf).
  • ``Some New Examples of Einstein Solvmanifolds,'' in preparation, 2012.

    • Cool links:

    Back to Math Dept. page.

    Back to Wellesley College page.