Curriculum Vitae  (pdf )

Fall 2008 teaching:  MAT 320 - Geometry I     Math 130 - Precalculus
                                Students can find useful online course information on DePaul Blackboard site.

Previous Teaching

Research Interests: Dynamical Systems, Smooth Ergodic Theory, Population Dynamics

(Current research partially supported by the NSF grant DMS-0703421)

Publications and preprints: 

• Chaotic dynamics of a nonlinear density dependent population model (joint with H. Weiss), Nonlinearity 17 (2004), 1689-1711.

• Geometrically Markov geodesics on the modular surface (joint  with S. Katok) , Moscow Mathematical Journal 5 (2005), 135-151.

• Arithmetic coding of geodesics on the modular surface via continued fractions (joint with S. Katok), CWI Tracts 135 (2005), Centrum voor Wiskunde en Informatica, Amsterdam, 59-77.

• On hyperbolic measures and periodic orbits, Discrete and Continuous Dynamical Systems 16 (2006), 505-512.

• Symbolic dynamics for the modular surface and beyond (joint with S. Katok),  Bull. Amer. Math. Soc. 44 (2007), 87-132.

• Chaotic attractors and physical measures for some density-dependent population models  (with H. Weiss), Nonlinearity 20 (2007), 2897-2906.

Conferences organized:

• Dynamics Ideas in Geometry, Topology and Number Theory  in honor of Svetlana Katok (May 5-6, '07)

• Workshop on Applications of Measurable and Smooth Dynamical Systems to Number Theory (Oct 4, '07)

• AMS Special Session: Ergodic Theory and Symbolic Dynamical Systems (Oct 5-6, '07)

• AMS Special Session: Smooth Dynamical Systems (Oct 5-6, '07)

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