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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 am a past member of the Experimental Geometry Lab and a co-founder (with Jayadev Athreya) of the Illinois Geometry Lab.

Research Interests

The focus of my research is complex hyperbolic space and its boundary the Heisenberg group. More generally, I am interested in hyperbolic geometry, geometric function theory, and geometric group theory.

Most recently, I have been working on quasi-regular mappings and continued fractions in the Heisenberg group, and experimenting with applications of sub-Riemannian geometry to visual processing.

For some illustrations of my work, click on:

Contact Information

University of Michigan Mathematics Department
530 Church Street
Ann Arbor, MI 48109-1043

Email: firstname@lastname.net
Office: 5856 East Hall