Karen Butt

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I am a sixth-year PhD student in mathematics at the University of Michigan, advised by Ralf Spatzier. Starting in Fall 2023, I will be an L. E. Dickson Instructor (postdoc) at the University of Chicago.

I am interested in differential geometry and its generalizations, particularly spaces of non-positive curvature. I am also interested in dynamics, especially insofar as it relates to the study of geodesic flows.

I defended my thesis, entitled "Closed geodesics and stability of negatively curved metrics," in March 2023. Here are the slides from my defense.


2. Approximate control of the marked length spectrum by short geodesics (arXiv)

1. Quantitative marked length spectrum rigidity (arXiv), to appear in Geometry & Topology