Regular biography
Marianne Johnson is a Senior Lecturer in Pure Mathematics at the University of Manchester, School of Mathematics. She is a member of the tropical mathematics research group and collaborates with researchers at the universities of Birmingham, Queen Mary University of London, Swansea, and Warwick through an LMS Joint Research Network. Her research interests include algebra and combinatorics, with a focus on free Lie algebras, representation theory, semigroup theory, and tropical algebra and geometry. She has contributed to several EPSRC-funded projects and is actively involved in research output across various journals.
Scholar-generated biography
Marianne Johnson is a mathematician specializing in tropical mathematics and algebra. Her research focuses on the structure of tropical matrix semigroups, identities in tropical algebra, and the properties of tropical polytopes. She has explored topics such as tropical matrix groups, Green’s J-order, and the representation theory of plactic monoids. Her work also includes the study of exact rings and semirings, as well as the computational complexity of problems in the gossip monoid. Johnson's contributions highlight the interplay between algebraic structures and tropical geometry, with applications in areas such as finite metric spaces and convexity.