Jonathan F. Ormes
What I do
I teach mathematics, conduct research in topological dynamics, and provide service to the University of Denver.
I grew up in Beltsville, MD. Earned a BS in mathematics the University of Delaware, a PhD in mathematics at the University of Maryland. Held postdoctoral positions at the University of Texas and the University of Connecticut. Since 2002, I have taught math from first year calculus through graduate level courses. I am especially interested in expanding the participation of women and students of color in mathematics. I conduct research on abstract dynamical systems.
In dynamical systems, one studies the evolution of a system as it evolves over time according to some pre-determined rules. I typically study a function f repeatedly applied to a space X. More specifically, I typically study homeomorphisms f of a Cantor space. There are connections between these systems and matrix theory, information theory, and complexity theory.
- Bounded Topological Speedups
- Strong orbit realization for minimal homeomorphisms
- The spectra of nonnegative integer matrices via formal power series
- Self-Induced Systems
- Extender sets and multidimensional subshifts