Taylor Ball

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We show that the cop number of every generalized Petersen graph is at most 4. The strategy is to play a modified game of cops and robbers on an infinite cyclic covering space where the objective is to capture the robber or force the robber towards an end of the infinite graph. We prove that finite isometric subtrees are 1-guardable and apply this to(More)
The geometry of right-angled Artin subgroups of mapping class groups. The center of pure complex braid groups. A family of representations of braid groups on surfaces. Uniqueness of roots up to conjugacy for some affine and finite type Artin groups. Groupoid extensions of mapping class representations for bordered surfaces. separation and applications to(More)
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