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León Carvajales

e-mail: leon.carvajales@fcea.edu.uy

 I am a Profesor Adjunto at Instituto de Estadística - Facultad de Ciencias Económicas y Administración (Universidad de la República, Uruguay). Previously, I was a postdoctoral researcher at Heidelberg University, where my mentors were Anna Wienhard and Beatrice Pozzetti. During Fall 2020 I was a postdoctoral fellow at MSRI, where my mentor was Fanny Kassel. I completed my PhD in Universidad de la República (Uruguay) and Sorbonne Université (France), under the advise of Rafael Potrie and Andrés Sambarino.


I am broadly interested in geometry and dynamics of discrete subgroups of Lie groups. My current research focuses on Anosov representations and higher Teichmüller-Thurston theories.

PUBLICATIONS

  • (PDF) Anosov representations acting on homogeneous spaces: domains of discontinuity (joint with F. Stecker). Advances in Mathematics, Volume 459 (2024), published online first, https://doi.org/10.1016/j.aim.2024.110022

  • (PDF) Thurston's asymmetric metrics for Anosov representations (joint with X. Dai, B. Pozzetti and A. Wienhard). Groups Geom. Dyn. (2024), published online first, https://doi.org/10.4171/ggd/810 

  •  (PDF) Growth of quadratic forms under Anosov subgroups. Int. Math. Res. Not. IMRN, Volume 2023 (2023), Issue 1, p. 785–854, https://doi.org/10.1093/imrn/rnab181

  • (PDF) Counting problems for special-orthogonal representations. Ann. Inst. Fourier, Tome 70 (2020), n. 3, p. 1199-1257.

PREPRINTS 

  • (PDF) Quasi-isometric free group representations into SL_3(R) (joint with P. Lessa and R. Potrie). To appear in Annales Henri Lebesgue.

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