Andy Sanders

Articles

Links go to PDF preprints.

• Domains of discontinuity for almost-Fuchsian groups. New.
  Accepted for publication at "Transactions of the American Mathematical Society."
• Entropy, Minimal surfaces, and negatively curved manifolds. New.
  Submitted.
• Hitchin harmonic maps are immersions. New.
  
• Hyper-Kahler geometry and complexifications of real analytic Kahler manifolds. (Joint w/ Brice Loustau) In preparation.
• Hodge theory and L^2-metrics on character varieties of closed surfaces. In preparation.
• Complex deformations of Anosov representations. (Joint w/ David Dumas) In preparation.

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.

Teaching

• UIC
  • Fall 2015 - Math 551: Riemannian Geometry
  • The problem list for the semester will be updated weekly and appears here
  • Fall 2013 - Math 320: Linear Algebra
  • The first homework assignment is here.
  • The second homework assignment is here.
  • The third homework assignment is here.
  • The first practice exam is here.
  • The fourth homework assignment is here.
  • The fifth homework assignment is here.
  • The second practice exam is here.
  • The sixth homework assignment is here.
  • A practice final exam is here.

Contact

• Email: andysan at uic.edu
• Office: 526 Science and Engineering Offices (SEO)
• Full mailing address:
  
  Department of Mathematics, Statistics, and Computer Science
  University of Illinois at Chicago
  322 Science and Engineering Offices (M/C 249)
  851 S. Morgan Street
  Chicago, IL 60607-7045

Acknowledgement

This material is based upon work supported by the National Science Foundation. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.