James McKee

James McKee serves as a Professor of Mathematics within the Department of Mathematics at Royal Holloway, University of London, with contact details including phone +44 1784 443670 and email James.McKee@rhul.ac.uk.

Research Interests: McKee specializes in the intersection of number theory and combinatorics, focusing on algebraic numbers with geometrically constrained Galois conjugates—particularly Pisot and Salem numbers—and their associations with combinatorial structures. His computational approach explores Mahler measures, cyclotomic integers, and graph-matrix representations, bridging theoretical arithmetic with discrete mathematics.

Publication Trends: Recent works (2020-2025) consistently investigate spectral properties of integer matrices, geometric constraints on algebraic integers, and combinatorial applications of Mahler measures. This research demonstrates a cohesive trajectory linking Diophantine approximation, spectral graph theory, and computational algebra through both theoretical proofs and experimental mathematics.

Scientific Awards: No awards were documented in the provided text.

Supervision and Grants: McKee has supervised 3 students and led a Heilbronn Institute-funded project (2008-2011) titled "Salem, numbers, pisot numbers, graphs and matrices," which examined connections between algebraic numbers and combinatorial objects. His research network shows international collaborations across multiple countries.