- Ph.D., Georgia Institute of Technology, 1995
- Differential Equations:
Qualitative theory of Ordinary Differential Equations and Random Differential Equations,
Bifurcations theory of ODE and RDE systems.
- Dynamical Systems:
Bifurcation theory and some ergodic theory in Smooth Dynamical Systems.
Bifurcation theory of Random Dynamical Systems.
- Mathematical Biology:
Cell cycle dynamics, particularly in Yeast. New methods for binary classification problems in biomedical informatics.