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Associate Professor of Mathematics and Statistics
Mathematics & Statistics
[email protected]PhD in Mathematics
University of California, Riverside
MS in Mathematics
University of California, Riverside
BS in Mathematics
University of California, Riverside
My research is quite varied, but my published works have mostly focused on billiards on fractal tables and their associated fractal translation surfaces. We are mostly interested in understanding the geometry and topology of these structures and determining the dynamical properties of the flow on the surface. Such dynamical properties can be investigated more efficiently by analyzing the corresponding fractal interval exchange transformation.
Other research interests have centered on the presence of fractal structures in sociological settings. We are interested in determining 1) correlations between fractal dimensions of cities (i.e., power laws describing how certain aspects scale up with the city) and the socio-economic state of the city and 2) policies that can be instituted that result in positive economic growth, thereby bringing cities out of devastating poverty traps.
In the past year, as a result of the pandemic, I have become much more interested in OER software development and delivering content in lighter forms so that students with slow internet connection can still participate in an equitable fashion.
I have a broad interest in what I teach. I love teaching the various flavors and levels of calculus and look forward to teaching a variety of courses at MSU Denver. I want to create a number of interdisciplinary courses all focused around fractal geometry and dynamical systems, these being the languages in which Nature is speaking to us.
Fall 2024:
W 11-1, 3-5, or, by appointment.