Andrew Zimmer
L.E. Dickson Instructor
Department of Mathematics
University of Chicago
Office: Eckhart 321
email: aazimmer[at]uchicago[dot]edu
I am a NSF Postdoc / L.E. Dickson Instructor in the mathematics department at the University of Chicago. I enjoy thinking about geometric structures on manifolds, several complex variables, Riemannian geometry, and discrete subgroups of Lie groups. I received my Ph.D. from the University of Michigan where my advisor was Ralf Spatzier.
CV
Publications / Preprints:
Several complex variables:
Differential Geometry:

Proper quasihomogeneous domains in flag manifolds and geometric
structures.
Submitted.

Rigidity of convex divisible domains in flag manifolds
(with W. Van Limbeek).
Submitted.

Entropy rigidity of Hilbert and Riemannian metrics
(with
T. Barthelmé and
L. Marquis).
Accepted to International Mathematics Research Notices.

The structure of projective maps between real projective manifolds.
Submitted.

Characterizing the unit ball by its projective automorphism group.
Geometry and Topology, 20: 23972432, 2016

Rigidity of complex convex divisible sets.
Accepted to Journal of Topology and Analysis.

Boundaries of noncompact harmonic manifolds.
Geometriae Dedicata, 168: 339357, 2014.

Compact asymptotically harmonic manifolds.
Journal of Modern Dynamics, 6: 377403, 2012.

A symplectic proof of a theorem of Franks (with B. Collier, E. Kerman, B. Reiniger, B. Turmunk).
Compositio Mathematica, 148: 19691984, 2012.
I also have some undergraduate publications.
Other manuscripts:

Asymptotically harmonic manifolds without focal points. 2011. Not for publication: The main result in this note was extended in ``Compact asymptotically harmonic manifolds.''

Rigidity in Complex Projective Space. 2014. My Ph.D. thesis. The mathematical content essentially coincides with the paper "Rigidity of complex convex divisible sets" and some of the results were extended in "Characterizing the unit ball by its projective automorphism group."

Rigidity and convexity of proper geometric structures. 2015. Not for publication: This is an earlier version of ``Proper quasihomogeneous domains in flag manifolds and geometric structures'' with a different perspective.

Gromov hyperbolicity and the Kobayashi metric. 2016. This expository article describes some results on Gromov hyperbolicity in several complex variables. I wrote this for a set of lecture notes based on the conference "Spring School in Lille: Metrical and dynamical aspects of complex analysis" (which is currently submitted for publication).
Videos:
Last updated: October 3, 2016.