Interested? Email me: sbandyo5@utm.edu

Research Program

My undergraduate research program explores one-dimensional boundary value problems across continuous, discrete, and hybrid domains (time scales), approaching these challenges both analytically and numerically using Python and MATLAB. Students engage with three interconnected areas:

1. Differential Equations - Continuous domain problems

2. Difference Equations - Discrete domain problems

3. Dynamic Equations - Hybrid time scale problems

This unified approach allows students to see the connections between continuous and discrete mathematics while developing strong computational skills.

Mentoring Approach

I believe that undergraduate research should be a journey of discovery, not just task completion. Drawing from my teaching approach that "the only way to learn mathematics is to do mathematics," I guide students through the problem-solving process, allowing them to arrive at solutions independently. I begin with foundational concepts and provide close support until students gain confidence to think critically and ask insightful questions. My approach emphasizes patience, mathematical maturity, and fostering the excitement that comes from genuine mathematical discovery.

Research Impact

Since 2023, I have mentored 4 undergraduate students, resulting in 2 submitted publications, 4 conference presentations (including invited talks), and secured competitive funding. My students present at prestigious venues like AMS and MAA-SE conferences, with 100% successfully transitioning to graduate programs or industry careers.