John Nicholson

John Nicholson holds the Rankin-Sneddon Research Fellowship in Pure Mathematics at the University of Glasgow's Department of Mathematics. His research focuses on algebraic and geometric topology, including interactions with group theory and integral representation theory. Nicholson's work spans projects on projective modules, homotopy classifications, and topological structures like 2-complexes and 4-manifolds.

His recent publications explore topics such as universal pairings, quadratic bias invariants, and cancellation properties in algebraic contexts. Nicholson has contributed to advancements in understanding stably free modules, simple homotopy types, and stable equivalence relations in manifold topology.

Teaching responsibilities include courses like Maths 2B: Linear Algebra and Maths 4H/5E: Galois Theory, reflecting his expertise in foundational and advanced mathematical topics. Nicholson's research has been published in high-impact journals like the Transactions of the American Mathematical Society and Algebraic and Geometric Topology.