Hannah Garrett

Hannah Garrett serves as a Lecturer in the Department of Mathematics at the University of Tennessee, Knoxville. She completed her Master of Science in Mathematics at the same institution in May 2025, where her thesis research centered on integer points on representation varieties of triangle groups into SL(3,R) and G_2.

Her educational background includes:

• Master of Science in Mathematics, University of Tennessee, Knoxville (2025)

Research Interests: Dr. Garrett's primary work bridges representation theory, Lie groups, and number theory through the study of arithmetic properties in representation varieties of triangle groups. She simultaneously pursues mathematics education research, focusing on innovative pedagogical frameworks and classroom techniques to deepen student comprehension of abstract mathematical concepts. Her dual-track approach integrates advanced theoretical exploration with practical teaching methodology development.

Scientific Recognition: No awards, fellowships, or medals were documented in the available materials.

Academic Engagement: As a lecturer, Dr. Garrett concentrates on undergraduate instruction and curriculum enhancement. While no formal advisees or research grants were referenced, her position involves significant contributions to departmental teaching initiatives and student mentorship within mathematics courses.

Research Context: No laboratory affiliations, collaborative teams, or specialized research facilities were mentioned in relation to her current position.