Chris Brookes

Dr Chris Brookes is an Affiliated Lecturer at the University of Cambridge, associated with the Department of Pure Mathematics and Mathematical Statistics (DPMMS). His research focuses on Groups, Non-commutative algebra and geometry, and Homological algebra.

• University: University of Cambridge
• Department: Department of Pure Mathematics and Mathematical Statistics
• Academic Rank: Lecturer

Dr Brookes’ work centers on the interplay between group theory and non-commutative algebra. He explores structural properties of soluble groups, subnormal subgroups, Engel elements, and the behavior of modules over group rings. His research intersects with crossed products, quantum torus representations, and automorphism groups, often leveraging homological methods to analyze algebraic systems.

The 15 most recent publications highlight his contributions to Engel-type elements in soluble groups, module theory over group rings, crossed product constructions, and subgroup dynamics. These works span topics like nilpotent radicals, ideal generation, and applications to finitely presented groups, with keywords such as Mathematics, Group Theory, Module Theory, and Non-commutative Algebra.

Dr Brookes' work has appeared in leading journals including the Journal of the London Mathematical Society, Proceedings of the London Mathematical Society, and Journal of Algebra. He has collaborated with researchers such as J.E. Roseblade, J.R.J. Groves, and K.A. Brown on problems involving group rings, module extensions, and automorphism arithmeticity.

Contact:
Email: C.J.B.Brookes@dpmms.cam.ac.uk
Room: C2.05
Phone: 01223 764271
Personal homepage: https://www.dpmms.cam.ac.uk/~cjbb1