Hello, my name is Rachael Keller, and I am a PhD candidate in Applied Mathematics at Columbia University, where I am directed by the best advisors in the world, Professors Michael Weinstein and Qiang Du.
I study the analytical and numerical spectral theory of periodic Schroedinger operators. My advisor Michael, collaborators Jeremy Marzuola and Braxton Osting, and I finally submitted my FIRST publication! The pre-print is available on the arXiv here.
My studies and research are graciously funded by the National Science Foundation (NSF) under the NSF’s Graduate Research Program, and I am a Core Student of the KI-Net Research Network, a society for understanding the problems of numerically simulating dynamical problems.
For my undergraduate studies, I learned and grew at Louisiana State University with the Department of Mathematics and the Robert Ogden Honors College under the particular care of Professor Oliver Dasbach and Professor Susanne Brenner (thank you, if you’re reading this). I am a runner for the Dashing Whippets in New York City~
Orals passed and paper submitted!!
The 2017 TCS New York City Marathon is over! Now time to focus on oral exams and publish a paper!
A brief race recap and my training are located here. I ran 2:47:35– 29th overall female and 11th USA female. Having gone into the race injured, and having learned a TON from this season, I am so hopeful for the future! I know I can break 2:45, and I hope to pull a 2:43…and maybe one day break 2:40!
- Schroedinger Equation in Periodic Media
- Numerical Solution of Eigenvalue Problems
R.I.P. Maryam Mirzakhani, one of the strongest figures in mathematics today. In 2014, she was awarded the Field’s Medal, Math’s Nobel Prize, the first (and only, thus far) woman to win it. Hoped to attend one of her seminars..breast cancer. Cancer. We again lose such a strong person to cancer.
Disclaimer: Everything written on this site is a statement of my own and in no way associated with or reflective of Columbia University, the NSF, KI-Net, LSU, or the Dashing Whippets.