Tom Johnston

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

PDF of Exceptional graphs for the random walk
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} }
PDF of Lipschitz bijections between boolean functions
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 Intersection sizes of linear subspaces with the hypercube
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} }
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} }

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.