Research Summary

Research Summary

I received my Ph.D. from the University of Michigan (Ann Arbor) in 2001 under the direction of Ralf J. Spatzier. Currently, I enjoy thinking about problems involving differential geometry and Lie groups. In particular, I am working on problems in spectral geometry and learning about the geometry of positively curved manifolds and manifolds of low cohomogeneity.

Publications

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Craig J. Sutton, Measures invariant under the geodesic flow and their projections, Proc. Amer. Math. Soc. (131) 2003, 2933-2936. Journal | PDF

Craig J. Sutton, Isospectral simply-connected homogeneous spaces and the spectral rigidity of grouop actions, Comment. Math. Helv. (77) 2002, p. 701-717. Journal | PDF

Craig J. Sutton, Applications of representation theory to dynamics and spectral geometry, Ph.D. Thesis, University of Michigan, Ann Arbor, MI USA 48104, 2001. PDF