Homotopy types of moment-angle complexes associated to almost linear resolutions (with Ben Briggs)
preprint, arXiv
Polyhedral coproducts (with William Hornslien and Lewis Stanton)
to appear in Algebraic & Geometric Topology, arXiv
Suspension splittings of 5-dimensional Poincaré duality complexes and their applications (with Tyrone Cutler and Tseleung So)
to appear in Algebraic & Geometric Topology, arXiv
Cohomology operations for moment-angle complexes and resolutions of Stanley-Reisner rings (with Ben Briggs)
Transactions of the American Mathematical Society, Series B, 11 (2024), 826--862
Journal, arXiv
Product decompositions of moment-angle manifolds and B-rigidity (with Ben Briggs)
Canadian Mathematical Bulletin, 66(4) (2023), 1313--1325
Journal, arXiv
Infinite families of higher torsion in the homotopy groups of Moore spaces (with Frederick R. Cohen and Yuxin Luo)
Algebraic & Geometric Topology, 23(5) (2023), 2389--2414
Journal, arXiv
Connected sums of sphere products and minimally non-Golod complexes
Fields Institute Communications: Toric Topology and Polyhedral Products, vol. 89 (2024)
Journal, arXiv
The fibre of the degree 3 map, Anick spaces and the double suspension
Proceedings of the Edinburgh Mathematical Society, 63 (2020), 830--843
Journal, arXiv
A homotopy decomposition of the fibre of the squaring map on Ω3S17
Homology, Homotopy and Applications, 20 (2018), 141--154
Journal, arXiv
Unstable Homotopy Theory Surrounding the Fibre of the p-th Power Map on Loop Spaces of Spheres (2018) PhD Thesis
Cohomology Operations and the Toral Rank Conjecture for Nilpotent Lie Algebras (2013) MSc Thesis
Recording of talk (titled Homotopy types of moment-angle complexes associated to almost linear resolutions) at the Workshop on Polyhedral Products during the Focus Program on Toric Topology, Geometry and Polyhedral Products at the Fields Institute in Toronto.
Recording and slides from a talk (titled Equivariant formality of torus actions on moment-angle complexes) I gave at the workshop Polyhedral Products: a Path Between Homotopy Theory and Geometric Group Theory at the ICMS in Edinburgh.
Recording and slides from a talk (titled Higher torsion in the homotopy groups of Moore spaces) I gave at the first of the biannual Advances in Homotopy Theory workshop at the University of Southampton's Centre for Geometry, Topology, and Applications (CGTA).
Recording and slides from a talk I gave at the Homotopy Theory session of the 2020 CMS Winter Meeting in Montreal. My talk (titled The homotopy type of the fibre of the pth power map on loop spaces of spheres) was about loop space decompositions and an unstable homotopy theoretic interpretation of the Kervaire invariant problem.