About me
Natalie Sheils

Currently I am a Visiting Assistant Professor in the School of Mathematics at the University of Minnesota. Previously, I was a Postdoctoral Fellow at the Institute for Math and its Applications (IMA). I earned my Ph.D in Applied Mathematics from the University of Washington in 2015 under the direction of Bernard Deconinck. My thesis was on analytic solutions of interface problems using the Unified Transform (Fokas) Method. More information on my current research can be found on my research page.

I am currently serving as a fellow on the SIAM Committee on Science Policy. Some of my reflections on this experience were published in SIAM News.

Prior to studying at UW I earned my undergraduate degree in Mathematics with a specialization in Applied Mathematics at Seattle University. I worked with John Carter on the stability of two-dimensional soliton solutions to the nonlinear Schrödinger equation.

Links
Google Scholar Profile

My Google Scholar Profile

Google Scholar provides a simple way to broadly search for scholarly literature. From one place, you can search across many disciplines and sources: articles, theses, books, abstracts and court opinions.

Unified Transform Method Portal

Unified Transform Method Portal

This website is maintained by Dave Smith and is a repository for all the articles and books written about the UTM. Papers are sorted by author and application. The UTM is one of the main tools I use in my research.

arXiv

My arXiv Preprints

arXiv (pronounced "archive") is a repository of electronic preprints of scientific papers in the fields of mathematics, physics, astronomy, computer science, quantitative biology, statistics, and quantitative finance.