346 citations · 1.2k across the 23 of their papers we have counts for
4 papers · 1 filter
Which groups are amenable to proving exponent two for matrix multiplication?
Jonah Blasiak, Thomas Church, Henry Cohn +2
The Cohn-Umans group-theoretic approach to matrix multiplication suggests embedding matrix multiplication into group algebra multiplication, and bounding in terms of the repres…
On finite generation of the Johnson filtrations
Thomas Church, Mikhail Ershov, Andrew Putman
We prove that every term of the lower central series and Johnson filtrations of the Torelli subgroups of the mapping class group and the automorphism group of a free group is finit…
Linear and quadratic ranges in representation stability
Thomas Church, Jeremy Miller, Rohit Nagpal +1
We prove two general results concerning spectral sequences of -modules. These results can be used to significantly improve stable ranges in a large portion of the stab…
Generating the Johnson filtration II: finite generation
Thomas Church, Andrew Putman
We prove that every term of the lower central series and Johnson filtrations of the Torelli subgroups of the mapping class group and the automorphism group of a free group are fini…