Papers and preprints

Paper	Coauthors	References	Link
Knots of low knot Floer width		Submitted	arXiv:2405.08993
Link Floer homology splits into snake complexes and local systems		Submitted	arXiv:2306.05546
Algebraic realizability of knot Floer-like complexes		Submitted	arXiv:2306.04861
Soluble radical and orbits of certain maps on finite groups	John S Wilson	Journal of Algebra (Volume 704, November 2022)	arXiv:2010.03944
Distinguishing crystallographic groups by their finite quotients	Paweł Piwek and Gareth Wilkes	Journal of Algebra (Volume 565, January 2021)	arXiv:1910.09845

My research interests

I am interested in low-dimensional topology, which is the area of mathematics that studies \(3\) and \(4\)-dimensional manifolds. It turns out that they are closely connected to knots, which I am also very interested in. The main techniques I use in my research include various flavours of Heegaard and knot Floer homology and I like to approach the questions from an algebraic perspective.

Pictures

Here are some pictures appearing in my research.