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Pierre-Louis Blayac
Department of Mathematics East Hall University of Michigan 530 Church Street Ann Arbor, MI 48103-1043 USA Email address: Office : 2842 EH |
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Presentation
I am a postdoctoral assistant professor at the University of Michigan.
My PhD was about the dynamics of the geodesic flow on convex projective manifolds.
More generally, my research interests are projective manifolds, discrete subgroups of Lie groups, Anosov representations, non-positively curved manifolds.
My CV
et
mon CV en français.
Teaching
I teach Introduction to Topology (Math 590 in UofM terminology).
My papers
- Topological mixing of the geodesic flow on convex projective manifolds Preprint arXiv:2009.05035, to appear in Annales de l'Institut Fourier.
- The boundary of rank-one divisible convex sets Preprint arXiv:2106.07581, to appear in Bulletin de la Société Mathématique de France.
- Patterson--Sullivan densities in convex projective geometry Preprint arXiv:2106.08089.
- Ergodicity and equidistribution in Hilbert geometry Journal of Modern Dynamics 19 (2023) p. 879-945, in collaboration with Feng Zhu.
- Divisible convex sets with properly embedded cones Preprint arXiv:2302.07177, in collaboration with Gabriele Viaggi.
- My PhD thesis, written under the supervision of Fanny Kassel.
Gifs and pics
- Bulging 6 tiles of the universal cover of a hyperbolic pillow
- Bulging 9 tiles of the universal cover of a hyperbolic pillow
The following use Teddy Weisman's geometry_tools, and Teddy helped me a lot to produce them.
