David Jordan

Dr David Jordan is a Professor in the School of Mathematics at the University of Edinburgh, specializing in topological field theory and quantum algebra. His research bridges mathematics and physics, focusing on categorical symmetries in quantum systems. He collaborates globally, notably as a Principal Investigator in the Simons Collaboration on Global Categorical Symmetries, exploring symmetries in quantum field theories. Despite shifting from physics to mathematics early in his academic journey, he maintains close ties with physicists to formalize quantum mechanical anomalies mathematically.

His research interests emphasize quantum groups, algebraic geometry, and representation theory, with a focus on structures like skein modules, character varieties, and braided tensor categories. Teaching highlights include foundational courses like Proofs and Problem Solving, emphasizing mathematical rigor and critical thinking for undergraduates. He advocates for students to embrace the challenge of university-level mathematics, stressing perseverance over innate ability.

Dr Jordan’s work is highly collaborative, with most publications co-authored to foster open scientific dialogue. He has contributed to advancements in categorical symmetries, quantum cluster characters, and geometric Langlands duality, reflecting a commitment to interdisciplinary innovation in modern mathematics.