Shane E. Sawyer

Shane E. Sawyer

Graduate Teaching Assistant

University of Tennessee, Knoxville


Shane Sawyer is an early PhD student in Mathematics at the University of Tennessee, Knoxville. He is a Graduate Teaching Assistant in the mathematics department working under the direction of Dr. Abner Salgado. His research interests include applying numerical analysis to fractional partial differential equations, developing algorithms to compute approximate solutions to PDEs, and investigating the underlying mathematical frameworks to understand the connections between approximation theory and deep neural networks.


  • Numerical Analysis
  • Numerical Solutions to (Fractional) PDEs
  • High Performance Scietific Computing
  • Applied and Computational Mathematics
  • Machine Learning
  • Fluid Dynamics


  • Early PhD Student in Mathematics

    University of Tennessee, Knoxville

  • MEng in Computational Engineering

    University of Tennessee, Chattanooga

  • BSc in Applied Mathematics

    University of Tennessee, Chattanooga




Applied Mathematics

Recent Experience


Graduate Teaching Assistant

University of Tennessee, Knoxville

Aug 2020 – Present

Responsibilities include:

  • Leading synchronous lectures in College Algebra with a flipped class environment
  • Using Internet technology for student interaction and assessment
  • Hosting virtual office hours

Graduate Research Assistant

University of Tennessee, Knoxville

Aug 2019 – Jul 2020
Research areas of machine learning to investigate mathematical underpinnings.

Graduate Research Assistant

University of Tennessee, JICS

Aug 2017 – Aug 2019
Assisted in group research activities including continued development of a high performance implementation of bioinformatics code and assisting collaboration efforts with campus partners and other academic partners.


Machine Learning

Andrew Ng’s popular introductory course to Machine Learning that provides an overview of the basics of the field.

Heterogeneous Parallel Programming

An introductory online course teaching the fundamentals of parallel programming algorithms and how to implement them on an Nvidia GPU using the CUDA framework.


Understanding Fractional Pdes

In this project, I am beginning my journey on learning numerical analysis of Fractional PDEs.

Meet the Team

Research Assistants



Research Assistant

Playing with strings, Chittering at the birds, Hiding from strangers



Research Assistant

Getting treats, Sleeping in my box, Harrassing Jammers

Past Research Assistants



Past Research Assistant

Chasing the red dot, Yelling at any cat outside the window

Recent & Upcoming Talks

Popular Topics