معرفی
David L. Duncan serves as Associate Professor and Assistant Academic Unit Head in the Department of Mathematics & Statistics at James Madison University, where he has been faculty since 2018.
His educational credentials include a PhD in Mathematics from Rutgers University (2013) and a BS in Mathematics from the University of Washington (2006).
Duncan's research centers on differential geometry and low-dimensional topology, specializing in partial differential equations from gauge theory (Yang-Mills/Chern-Simons functionals) and symplectic geometry. He investigates how these equations reveal topological structures of 3- and 4-manifolds while extending into graph theory through sandpile models and critical groups. His work seeks tractable undergraduate research problems at the intersection of geometric analysis and discrete mathematics.
Recent publications demonstrate dual expertise: geometric analysis papers on 4-manifolds (2020) and 3-manifolds (2016) alongside combinatorial graph theory contributions (2021-2022), reflecting a unique bridge between continuous and discrete mathematical domains.
Professional recognition includes:
- Project NExT Fellow (2019)
- Section NExT Fellow (MD-DC-VA, Class of 2020)
- RASTL Fellow (2010-2013)
As First Year Advisor for math/statistics majors, Duncan designs degree pathways while mentoring undergraduate research. He co-leads the NSF-funded JMU REU (2024-2027) and 4-VA's Proofs Project, developing curricular resources for proof-based learning. His editorial role at Mathematics Magazine since 2020 further supports mathematical communication.
Duncan co-directs the JMU REU program and collaborates on TRIUMPHS/META Math initiatives, creating national frameworks for undergraduate research experiences in historical mathematical contexts.
