Research

Preprints

• Semifree Isovariant Poincaré Spaces and the Gap Condition, with Dominik Kirstein. arXiv. 

• Poincaré Duality Pairs of Infinity-Categories, with Andrea Bianchi, Kaif Hilman and Dominik Kirstein. arXiv. 

• A twisted Bass-Heller-Swan decomposition for localising invariants, with Dominik Kirstein. arXiv. 

• Equivariant Poincaré duality for cyclic groups of prime order and the Nielsen realisation problem, with Kaif Hilman and Dominik Kirstein. arXiv. 

• Parametrised Poincaré duality and equivariant fixed point methods, with Kaif Hilman and Dominik Kirstein. arXiv. 

Notes

• Borel actions in nonpositively curved geometry and the Nielsen realisation problem. arXiv. 

• A note on Poincaré duality and ambidexterity for universal spaces for families. link.