VIGRE at Rice: http://math.rice.edu/VIGRE
Welcome to the Differential Geometry PFUG.
Rice University is currently receiving funding from the National Science Foundation (NSF) through a grant for Vertical Integration of Research and Education in the Mathematical Sciences, or VIGRE for short. The idea behind VIGRE is to bring together mathematics and potential mathematicians from all stages of their educations and careers to study and to do research on mathematics as a group. Our philosophy is that everyone, from the youngest undergraduates to the oldest and wisest full professors, can contribute to the mathematics community and benefit from each other's contributions.
At Rice, we have used this funding in part to organize research groups of postdoctoral fellows, faculty members, undergraduate students, and graduate students, called PFUGs (and pronounced "fugue," like the musical composition) to work on specific open problems in pure mathematics, applied mathematics, and statistics.
The Differential Geometry PFUG is a pure mathematics PFUG. We study problems related to different evolutions of planar curves, describing the behavior of a curve over long periods of time.
The Differential Geometry PFUG began operating in January 2007, generally with about five members, including undergraduates, graduates, postdoctoral fellows, and faculty.
Currently, we are studying the behavior of curves under a "curve flattening" evolution.
Overviews of our past research projects.
Presentations and major findings.
Many thanks to the NSF and the VIGRE program at Rice University.