Nathan Broomhead

Dr. Nathan Broomhead is a Lecturer in Pure Mathematics at the University of Plymouth's School of Engineering, Computing and Mathematics. He teaches courses in algebra and geometry across foundation, second-year, and final-year levels.

His research explores connections between abstract algebra and geometry, with particular focus on:

• Derived categories in algebraic geometry
• Stability conditions and t-structures
• Homological algebra applications
• Topological data analysis methods

Recent publications demonstrate innovative approaches to persistent homology and category theory, with mathematical contributions bridging algebraic geometry and topological data analysis. His work on discrete derived categories has been particularly influential.