Created by Edna Jones.
A diagram that helps illustrate the difference between locally represented everywhere and globally represented by a quadratic form Q. For more information about this, please see my senior thesis.
Research Experience
My Ph.D. dissertation was about the Kloosterman circle method and weighted representation numbers of positive definite quadratic forms.
I have also been working towards a strong asymptotic local-global principle with the bends of certain integral Kleinian sphere packings. Some material talking about this in-progress work can be found in these slides.
Here is a list of some of my other research experiences:
- Masamu Advanced Study Institute (MASI) and Workshops in Mathematical Sciences in Windhoek, Namibia (Nov. 21–29, 2015)
- Senior Thesis at Rose-Hulman Institute of Technology
- National Science Foundation (NSF) Research Experience for Undergraduates (REU) in Algebra and Discrete Mathematics at Auburn University (June–July 2015)
- NSF REU in Number Theory at Texas A&M University (June–July 2014)
- Research Project in Mathematics at Rose-Hulman Institute of Technology studying von Koch curves built from n-gons and a relationship between the Thue-Morse sequence & Koch curve (Mar.–Nov. 2013)