Research

Preprints

with D. Crowley: The Witt groups of extended quadratic forms over ℤ. arXiv:2404.09189
Extended surgery theory for simply-connected 4k-manifolds. arXiv:2402.13394
with J. Nicholson, M. Powell: Simple homotopy types of even dimensional manifolds. arXiv:2312.00322
with J. Nordström: Rational homotopy and simply-connected 8-manifolds. arXiv:2105.13660
Sum of embedded submanifolds. arXiv:1705.03836

Accepted papers

with D. Crowley, B. Sims, H. Yang: Turning vector bundles. To appear in Algebr. Geom. Topol. arXiv:2204.08678
with D. Crowley: The smooth classification of 4-dimensional complete intersections. To appear in Geom. Topol. arXiv:2003.09216

Published papers

with A. Szűcs, T. Terpai: Singularities and stable homotopy groups of spheres I., J. Singul. 17 (2018), 1-27.
Cobordism groups of simple branched coverings, Acta Math. Hungar. 153 (2017), no. 2, 449-489.

Announcement

with D. Crowley: Inertia groups of 3-connected 8-manifolds.

Talks

Thesis

The classification of 8-dimensional E-manifolds, The University of Melbourne (2021)