Andy Sanders

Published Articles

• Andrew Sanders, Domains of discontinuity for almost-Fuchsian groups, Trans. Amer. Math. Soc., electronically published on August 18, 2016, DOI: https://doi.org/10.1090/tran/6789. (to appear in print).
  
• Andrew Sanders (2016) 'Entropy, minimal surfaces, and negatively curved manifolds', Ergodic Theory and Dynamical Systems, , pp. 1–35. doi: 10.1017/etds.2016.23.
  

  Accepted Articles

  • Surface groups acting on CAT(-1)-spaces. Joint with George Daskalapoulos, Chikako Mese and Alina Vdovina. Accepted for publication Ergodic Theory and Dynamical Systems.

    Submitted Articles

    • Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations Joint with David Dumas.
    • Bi-lagrangian structures and Teichmuller theory Joint with Brice Loustau.

      Articles in Preparation

      • G-opers and the holonomy map.
      • Hodge theory and Riemannian metrics on character varieties.
      • Deformations of holomorphic submanifolds of (G,X)-manifolds. Joint with David Dumas.
      • Anosov representations, locally homogeneous complex manifolds and deformation theory.. Joint with David Dumas.

        Notes

      • Harmonic maps - From representations to Higgs bundles. This is a preliminary draft of notes about harmonic maps and Higgs bundles I wrote for the workshop entitled "Higher Teichmuller-Thurston Theory" which was held in Maine during the summer of 2013.

Heidelberg reading seminar

During the academic year of 2017-2018, we will be studying the work of Maryam Mirzakhani regarding counting mapping class group orbits of closed curves on finite are complete hyperbolic surfaces. Information regarding this seminar can be found here.

Current Teaching

During the spring semester 2019, I am teaching a course on Quiver Varieties. Information regarding this course can be found here.