About

I'm currently working towards a DPhil in combinatorics at the University of Oxford under the supervision of Alex Scott. Before starting my DPhil in 2017 I did an MMath in Oxford.

My main reserach interest is extremal combinatorics, and I tend to spend most of my time working on problems that involve hypercubes in some way.

Papers

Lipschitz bijections between boolean functions

Tom Johnston Alex Scott

Submitted

2018+

@article{johnston2018lipschitz, title={Lipschitz bijections between boolean functions}, author={Johnston, Tom and Scott, Alex}, journal={arXiv preprint arXiv:1812.09215}, year={2018} }

$PDF of Cyclically covering subspaces in $\mathbb{F}_2^n$$

Cyclically covering subspaces in $\mathbb{F}_2^n$

James Aaronson Carla Groenland Tom Johnston

Submitted

2019+

@article{aaronson2019cyclically, title={Cyclically covering subspaces in $\mathbb{F}_2^n$, author={Aaronson, James and Groenland, Carla and Johnston, Tom}, journal={arXiv preprint arXiv:1903.10613}, year={2019} }

Exceptional graphs for the random walk

Juhan Aru Carla Groenland Tom Johnston Bhargav Narayanan Alex Roberts

Submitted

2019+

@article{aru2018exceptional, title={Exceptional graphs for the random walk}, author={Aru, Juhan and Groenland, Carla and Johnston, Tom and Narayanan, Bhargav and Roberts, Alex and Scott, Alex}, journal={arXiv preprint arXiv:1805.06277}, year={2018} }

Intersection sizes of linear subspaces with the hypercube

Carla Groenland Tom Johnston

Journal of Combinatorial Theory, Series A

2020 170 105-142

@article{groenland2020intersection, title={Intersection sizes of linear subspaces with the hypercube}, author={Groenland, Carla and Johnston, Tom}, journal={Journal of Combinatorial Theory, Series A}, volume={170}, pages={105-142}, year={2020}, publisher={Elsevier} }

Contact

If you have any questions or comments about some interesting maths (or the maths I've done), feel free to send me an email at thomas.johnston@lmh.ox.ac.uk.