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Planned Submissions (AY 2026–27): NSF RUI (PI); NSF S-STEM (Co-PI)

Institutional grants — UT Martin Faculty Development Grants (2024–2025); CENS Undergraduate Research Grant (2023–2024); UNCG Graduate Summer Research Grants (2019–2021)

Conference travel — supported by AWM, MAA, and AMS travel grants (2022–2026)

I'm happy to share any of my funded proposals — feel free to email me at sbandyo5@utm.edu

Month-Long Visit at Swarthmore College, May 2026

Research 

  • Pushed my results from subcritical growth to the critical Sobolev exponent, the threshold beyond which the weak formulation breaks down
     

  • Manuscript with Mavinga and Nkashama substantially complete
     

  • Numerical paper with T. Lewis in progress
     

  • New collaboration with Feulefack

Collaboration

  • M. N. Nkashama (University of Alabama at Birmingham) — joint work begun through this visit

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Research connections

  • Pierre Aimé Feulefack (University of Pennsylvania) — nonlocal and fractional operators (active collaboration)

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  • Joseph Nakao (Swarthmore College) — numerical methods for PDEs

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  • Victor Barranca (Swarthmore College) — applied mathematics, nonlinear dynamics

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  • Joshua Goldwyn (Swarthmore College) — applied mathematics, dynamical systems

BIRS Women in Analysis (WoAN) Workshop, Banff (May 2025)

BIRSGroup.jpg

(L-R)Maria Amarakristi Onyido, Diana Sanchez, Nsoki Mavinga, me, Maya Chhetri, Briceyda Delgado, Melissa Glass.

This research-collaboration workshop began my collaboration with Maria Amarakristi Onyido (Northern Illinois University). Together with Briceyda Delgado and Nsoki Mavinga, we wrote "Existence results for quasimonotone elliptic systems with growth up to critical exponents", establishing maximal and minimal weak solutions for elliptic systems with nonlinearity both in the domain and on the boundary. The workshop drew me into the study of problems with nonlinearity in both the interior and on the boundary — a direction that has become central to my program. Building on it, Onyido, Delgado, and I went on to investigate the superlinear case in this setting, which produced our successful SLMath PROOF proposal (Summer 2026).

14th AIMS Conference, Abu Dhabi, Dec 2024

Nsoki Mavinga, Francesca Colasuonno, Maya Chhetri, me

Invited Talks

  • "Maximal and minimal weak solutions for elliptic coupled systems with non-linearity on the boundary" — Special Session 95, Nonlinear Analysis and Elliptic Boundary Value Problems

     

  • "Positive solutions to singular second-order BVPs on time scales" — Special Session 72, Nonlinear Elliptic PDEs 

AWM–NSF Conference Participation Travel Grant, DMS-2015440 (2024). My first external grant. It funded my first international conference — the 14th AIMS Conference on Dynamical Systems, Differential Equations and Applications, in Abu Dhabi, the largest meeting in the field; the trip would not have been possible without this support.

Collaboration

Meeting Pasquale Candito (University of Palermo) in the special session he organized began a collaboration that, in 2025, grew to include Serena Matucci (University of Florence). Together we study nonlinear difference equations, with a manuscript currently in preparation.

MSRI/SL Math Summer Collaborator Program 2022

(L-R) Briceyda Delgado, Rosa Pardo, me, Nsoki Mavinga, Maya Chhetri

This program launched my research program.The first four chapters of my doctoral dissertation, Solvability of Nonlinear Elliptic Boundary Value Problems (University of North Carolina at Greensboro, 2023), grew out of this collaboration.

Publications

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Collaborations

  • Rosa Pardo — Universidad Complutense de Madrid

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Career

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  • Attended the JMM 2023 Employment Center while on the job market — made possible by the program's travel fund

Member: AMS, MAA, AWM, ISDE

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