Felipe A. Ramírez

Address: Howard House University of Bristol Queens Avenue Clifton Bristol BS8 1SN United Kingdom Office: 2.3 Howard House Phone: 0117 954 5649 Email: f.a.ramirez@bristol.ac.uk

About me

I am a postdoc in the School of Mathematics at the University of Bristol. My research interests are in ergodic theory and dynamical systems.

Papers

(Clicking on a title expands a summary of the article.)

• Cocycles over higher-rank abelian actions on quotients of semisimple Lie groups. Journal of Modern Dynamics 3 (2009), no. 3, 335-357.
• Smooth cocycles over homogeneous dynamical systems. Ph. D. Thesis (2010).
• Higher cohomology for Anosov actions on certain homogeneous spaces, accepted to Journal d'Analyse Mathématique.
• Limit theorems for rank-one Lie groups, with A. Gorodnik, accepted to the Proceedings of the AMS.
• Invariant distributions and cohomology for geodesic flows and higher cohomology of higher-rank Anosov actions, submitted.
• Higher cohomology of parabolic actions on certain homogeneous spaces, working title. In progress...

Teaching

• I am teaching Functional Analysis this term. Lecture notes and homework can be found on the course webpage. I hold an office hour on Mondays at noon, and a problem session on Tuesdays at noon.
• Notes
  • Hahn Banach Theorems
• Exercises
  • Exercise Sheet 6
  • Exercise Sheet 7
• Solutions
  • Solution Sheet 6