We show that the cop number of toroidal graphs is at most 3. This resolves a conjecture by Schroeder from 2001 which is implicit in a question by Andreae from 1986.
@article{arxiv.1904.07946,
title = {On the cop number of toroidal graphs},
author = {Florian Lehner},
journal= {arXiv preprint arXiv:1904.07946},
year = {2020}
}