Markus Linckelmann

Professor Markus Linckelmann is a faculty member in the Department of Mathematics at City, University of London, part of City St George's, University of London. He holds the academic rank of Professor and has been affiliated with the university since 2012. His prior academic appointments include Sixth Century Professor at the University of Aberdeen and Associate Professor at The Ohio State University.

• Dipl. Math. in Mathematics and Computer Science, Technical University Munich, Germany, 1985
• PhD in Mathematics, University of Paris 7 CNRS, France, 1988
• Habilitation à diriger des recherches, University of Paris 7 CNRS, France, 1996

Markus Linckelmann's research lies primarily in the representation theory of finite groups, with a strong focus on block theory, Hochschild cohomology, symmetric algebras, fusion systems, and derived equivalences. His work bridges algebra, topology, and category theory, often exploring deep structural properties of group algebras and their cohomological invariants. He investigates topics such as Tate duality, transfer maps, Lie algebra structures in cohomology, and classification of blocks, frequently in collaboration with leading researchers like Radha Kessar and David Benson.

His recent publications (2023–2025) demonstrate sustained productivity and relevance, covering advanced topics such as the operad of Latin hypercubes, BV structures in Hochschild cohomology, and block structure with normal defect. These works appear in prestigious journals including Proceedings of the Edinburgh Mathematical Society, Glasgow Mathematical Journal, and Mathematische Zeitschrift, indicating the high impact of his research.

• Alperin’s Weight Conjecture
• Thompson’s A×B Lemma (block-theoretic proof)
• Classification of Morita equivalence classes
• Tate duality in symmetric algebras
• Structure of block varieties

Linckelmann has supervised research students, including William Murphy. He has no explicitly mentioned grants in the provided text, but his long publication record and senior position suggest sustained research funding. He has authored two major books on block theory published by Cambridge University Press, which serve as key references in the field.

He is active in a research group or network focused on modular representation theory and cohomology, often co-authoring with a consistent team including Kessar, Benson, and others. His work contributes to resolving long-standing conjectures in representation theory and provides foundational tools for further research.