Ilie Ugarcovici

College of Science and HealthMathematical SciencesProfessorFacultyFull Time
Degrees​​​PhD​​​​
Contact
iugarcov@depaul.edu​(773) 325-1354
Office
Schmitt Academic Center (SAC), Room 520

BIO

Dr. Ugarcovici earned his PhD in Mathematics from The Pennsylvania State University in 2004. He then spent two years as a G.C. Evans Instructor at Rice University before joining the faculty at DePaul University in 2006.

Dr. Ugarcovici’s research interests focus on dynamical systems, ergodic theory, and population dynamics.

Selected publications:

  • On the topological entropy of (a,b)-continued fraction transformations
    Nonlinearity, 36 (2023), 2894-2908. (with A. Abrams and S. Katok).
  • Flexibility of entropy of boundary maps for surfaces of constant negative curvature
    Ergodic Theory and Dynamical Systems, 42 (2022), 389-401. (with A. Abrams and S. Katok).
  • A strongly aperiodic shift of finite type on the discrete Heisenberg group using Robinson tilings
    Illinois Journal of Math., 65 (2021), 655-686. (with A. Şahin and M. Schraudner).
  • Structure of attractors for boundary maps associated to Fuchsian groups
    Geometriae Dedicata, 191 (2017), 171-198. (with S. Katok)
  • The structure and spectrum of Heisenberg odometers 
    Proc. Amer. Math. Soc., 142 (2014), 2429-2443. (with S. Lightwood and A. Şahin)
  • Applications of KAM theory to population dynamics
    Journal of Biological Dynamics, 5 (2011), no. 1, 44-63. (with M. Gidea, J. Meiss and H. Weiss)