Andrew J. Duncan

Papers

Total Citations

H-Index

About

Andrew J. Duncan is a mathematician whose work bridges abstract algebra, computational theory, and robotics, with a primary focus on the structure and applications of partially commutative groups. His most-cited survey, "A Survey of Free Partially Commutative Groups" (2020, 11 citations), provides a concise yet comprehensive overview of Right-Angled Artin Groups (RAAGs) and free partially commutative structures, highlighting their critical role in concurrent computation, robotics path planning, and pure algebraic geometry. Duncan’s contributions clarify how these groups model independence and commutation relations, offering foundational insights for both theoretical mathematicians and engineers. While his citation count reflects a specialized, emerging field, his work is notable for its clarity and interdisciplinary reach—making complex group theory accessible to researchers in robotics and computer science. Duncan’s survey serves as a key reference for those exploring the algebraic underpinnings of parallel systems, and his ongoing research continues to shape how partially commutative structures are understood and applied across mathematics and engineering.