## Anton Lukyanenko

### RTG postdoc, University of Michigan mathematics department

I received my PhD in 2014 under Jeremy Tyson at the University of Illinois and a BS/MA in 2008 at the University of Maryland under the direction of Bill Goldman.

I will be joining the George Mason University Department of Mathematics in the fall of 2017 as a tenure-track assistant professor.

### Research Interests

The focus of my research is the geometry of metric spaces, with particular emphasis on the Heisenberg group and sub-Riemannian manifolds. More generally, I am interested in hyperbolic geometry, geometric function theory, and geometric group theory.

Most recently, I have been working on quasiregular mappings, Diophantine approximation, and quasicrystals in the Heisenberg group.

For some illustrations of my work, click on:

### Contact Information

Department of Mathematical Sciences

4400 University Drive, MS: 3F2

Exploratory Hall, room 4400

Fairfax, Virginia 22030

Email: anton@lukyanenko.net

Office: 4113 Exploratory Hall