4 papers
Representation stability for pure braid group Milnor fibers
Jeremy Miller, Philip Tosteson
We prove a representation stability result for the Milnor fiber associated to the pure braid group. Our result connects previous work of Simona Settepenella to representation stabi…
Non-integrality of some Steinberg modules
Jeremy Miller, Peter Patzt, Jennifer C. H. Wilson +1
We prove that the Steinberg module of the special linear group of a quadratic imaginary number ring which is not Euclidean is not generated by integral apartments. Assuming the gen…
The May-Milgram filtration and -cells
Inbar Klang, Alexander Kupers, Jeremy Miller
We describe an -cell structure on the free -algebra on a point, and more generally describe how the May-Milgram filtration of lifts to a filtration of…
Stability in the high-dimensional cohomology of congruence subgroups
Jeremy Miller, Rohit Nagpal, Peter Patzt
We prove a representation stability result for the codimension-one cohomology of the level three congruence subgroup of . This is a special case of a que…