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Anton Lukyanenko

Assistant Professor, University of George Mason University 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.

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