Dr David Sheard

David studied undergraduate mathematics at Durham University where he obtained an MMath in 2017 with a dissertation supervised by Pavel Tumarkin. He then moved to London when he did his PhD at the London School of Geometry and Number Theory (LSGNT). During this time he was supervised by Lars Louder (UCL) and Konstanze Rietsch (King’s College London), and graduated from UCL in 2022. His thesis was titled ‘Nielsen equivalence in Coxeter groups; and a geometric approach to group equivariant machine learning’.

Following his PhD, he conducted a brief stint as University Teacher of Mathematics at the University of Loughborough before Joining King’s College London as an AEP Lecturer. 

 

Research interests

• Geometric group theory
• Geometry of Coxeter groups, their actions on the Coxeter and Davis complexes
• Combinatoric of Coxeter groups, Bruhat order, and Poincaré polynomials
• Nielsen equivalence
• Group equivariant machine learning
• Accessibility of finitely generated groups

 

Further information

Research profile and publications

Website available here.