Curriculum Vitae  (pdf )

Fall 2011 teaching:  MAT 320 - Geometry I  /  MMT 440 - History of Math
                             Students can find useful course information on the  DePaul D2L site.

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

(Research work from 2007-2011 was 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.

• Theory of (a,b)-continued fraction transformations and applications (with S. Katok), Electron. Research Announc. Math. Sci. 17 (2010), 20-33.

• Structure of attractors for (a,b)-continued fraction transformations (with S. Katok), Journal of Modern Dynamics 4 (2010), 637-691.

• Applications of KAM Theory to Population Dynamics (with M. Gidea, J. Meiss and H. Weiss), Journal of Biological Dynamics  5 (2011), 44-53.

• Applications of (a,b)-continued fraction transformations (with S. Katok), accepted for publication, Ergodic Theory and Dyn. Systems

• The structure and spectrum of Heisenberg odometers (with S. Lightwood and A. Şahin), submitted

Some conferences I helped organizing:

• 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)

• AIMS Special Session: Applied Hyperbolic and Elliptic Dynamics  (May 24-29, 2010), Dresden

Math Links