Welcome
I will be at SL Math PROOF 2026, 6 - 18 July. If you would like to connect with me there please email me sbandyo5@utm.edu
I am an assistant professor of mathematics at the University of Tennessee at Martin. I completed my PhD in computational mathematics at the University of North Carolina Greensboro in 2023 under the supervision of Dr. Maya Chhetri. Prior to this, I earned a BSc in Mathematics and Computer Science from the Chennai Mathematical Institute in India. With a passion for teaching and research, I am dedicated to advancing the field of mathematics and inspiring the next generation of mathematicians.
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I am ProjectNExT Fellow Blue '24 Cohort
My research is partially funded by AMS Simons Travel Grant 2025-2027 (Research Mentor: Tom Cuchta)
My main research program is on elliptic partial differential equations with nonlinear boundary conditions, which I approach through both analysis and numerical methods. A more recent direction extends this work to elliptic PDEs on time scales. I also pursue applications in mathematical ecology, and I work actively with undergraduates on difference equations.
Teaching
I am dedicated to student success. I build clearly structured lessons and a supportive, engaging classroom where students feel free to struggle and try without fear — I value effort over perfection. I teach across the undergraduate curriculum, from College Algebra and Calculus through Ordinary and Partial Differential Equations, Real Analysis, and Numerical Analysis.
Service
I serve actively in my department and across the university, on committees spanning curriculum, program review, and faculty development. I also believe strongly in building the broader mathematical community, and I serve on committees of the MAA and AWM — including as Vice Chair for Programs of the MAA Southeastern Section.
My doctoral dissertation, "Solvability of Nonlinear Elliptic Boundary Value Problems," focused on the study of steady states of reaction-diffusion problems motivated by real-world applications. The research centered on two complementary areas: elliptic boundary value problems with nonlinear reactions appearing either in the interior or on the boundary of domains. I established existence results for maximal and minimal solutions using monotone iteration methods and degree theory, extended classical theory to systems with nonlinear boundary conditions, and developed numerical approximation methods using finite difference techniques. Additionally, I investigated mathematical models arising in ecology, particularly studying competition and cooperation dynamics between species in fragmented habitats. This comprehensive work bridged pure mathematical theory with computational applications and ecological modeling, contributing to both theoretical advances in nonlinear analysis and practical insights for population dynamics in heterogeneous environments.
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I am profoundly grateful to have had Dr. Maya Chhetri as my doctoral advisor—truly the kindest person I have ever met. Her vision in the field of mathematics is immaculate, and her care and compassion throughout my doctoral journey were immeasurable. She provided both love and valuable lessons when I needed them most, and I simply cannot imagine having anyone else guide my research. Dr. Chhetri's incredible work ethic and dedication serve as my role model for academic excellence. She skillfully advised me on becoming an independent yet impactful researcher while teaching me the invaluable skills of collaborative work. Her mentorship extended far beyond mathematical guidance; she shaped me as both a scholar and a person. Under her nurturing yet rigorous supervision, I learned not only how to solve complex mathematical problems but also how to think critically, communicate effectively, and contribute meaningfully to the mathematical community. Her influence on my academic and professional development will remain with me throughout my career.
