46 citations · 320 across the 37 of their papers we have counts for
38 papers
Automorphisms of the fine curve graph
Adele Long, Dan Margalit, Anna Pham +2
Building on work of Farb and the second author, we prove that the group of automorphisms of the fine curve graph for a surface is isomorphic to the group of homeomorphisms of the s…
Right-angled Artin groups as normal subgroups of mapping class groups
Matt Clay, Johanna Mangahas, Dan Margalit
We construct the first examples of normal subgroups of mapping class groups that are isomorphic to non-free right-angled Artin groups. Our construction also gives normal, non-free…
Homomorphisms of commutator subgroups of braid groups
Kevin Kordek, Dan Margalit
We give a complete classification of homomorphisms from the commutator subgroup of the braid group on strands to the braid group on strands when is at least 7. In parti…
Homomorphisms between braid groups
Lei Chen, Kevin Kordek, Dan Margalit
We give a complete classification of homomorphisms from the braid group on strands to the braid group on strands when is at least 5. We also classify endomorphisms of…
Recognizing topological polynomials by lifting trees
James Belk, Justin Lanier, Dan Margalit +1
We give a simple algorithm that determines whether a given post-critically finite topological polynomial is Thurston equivalent to a polynomial. If it is, the algorithm produces th…
Representation stability in the level 4 braid group
Kevin Kordek, Dan Margalit
We investigate the cohomology of the level 4 subgroup of the braid group, namely, the kernel of the mod 4 reduction of the Burau representation at . This group is also equal…