I am interested in measured group theory, ergodic theory and geometric group theory.

At the moment, I am working on a generalization of Kingmann’s subadditive ergodic theorem to finitely generated nilpotent groups. Generally, I’m interested in the interaction of a group’s actions and its group-theoretic properties.

Research

Talks

Conferences/Seminars/Workshops

  1. •Popa & Ioana Cocycle Superrigidity (Oberwolfach 2014)

  2. •Self-Intersection Properties of Generalized Koch Curves (Joint Math Meetings 2008)

  1. •RTG Workshop on Thin Groups, University of Michigan, April 2014

  2. •Arbeitsgemeinschaft: Superrigidity, Oberwoflach, April 2014

  3. •Random Walks and Asymptotic Geometry of Groups, Institute Henri Poincare, Paris, January 2014

  4. •Random Walks Introductory School, Luminy, January 2014

  5. •Young Geometric Group Theory, Luminy January 2014

  6. •Midwest Dynamical Systems Seminar, University of Illinois, November 2013

  7. •Math Research Community: Geometric Group Theory, AMS, June 2013

  8. •Ergodic Theory with Connections to Arithmetic, University of Crete, June 2013

  9. •Random Walks on Groups, University of Michigan, March 2013

  10. •Midwest Dynamics Systems Seminar, Notre Dame, October 2012

  11. •Minerva Summer School: Flows On Homogenous Spaces, Tecnion, September 2012

  12. •Park City Mathematics Institute: Geometric Group Theory, IAS, July 2012

  13. •Bloomington Geometry Workshop, Indiana University, April 2012

  14. •Midwest Dynamical Systems Seminar, IUPUI, October 2011

  15. •Geometric Group Theory & Logic, UIC, August 2011

  16. •Joint Mathematical Meetings, January 2008

Papers/Preprints

  1. •Self-Intersection Points of Generalized Koch Curves. Fractals, 19(2): 213-220 (from undergrad)