Publications (23)
The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension
Thomas Church, Benson Farb, Andrew Putman
On cap sets and the group-theoretic approach to matrix multiplication
Jonah Blasiak, Thomas Church, Henry Cohn +4
On the geometric nature of characteristic classes of surface bundles
Thomas Church, Benson Farb, Matthew Thibault
Which groups are amenable to proving exponent two for matrix multiplication?
Jonah Blasiak, Thomas Church, Henry Cohn +2
Parametrized Abel-Jacobi maps and abelian cycles in the Torelli group
Thomas Church, Benson Farb
Separating twists and the Magnus representation of the Torelli group
Thomas Church, Aaron Pixton
Generating the Johnson filtration
Thomas Church, Andrew Putman
Invariance properties of Miller-Morita-Mumford characteristic numbers of fibre bundles
Thomas Church, Martin Crossley, Jeffrey Giansiracusa
Linear and quadratic ranges in representation stability
Thomas Church, Jeremy Miller, Rohit Nagpal +1
Homology of FI-modules
Thomas Church, Jordan S. Ellenberg
Some groups of mapping classes not realized by diffeomorphisms
Mladen Bestvina, Thomas Church, Juan Souto
Representation stability in cohomology and asymptotics for families of varieties over finite fields
Thomas Church, Jordan S. Ellenberg, Benson Farb
Orbits of curves under the Johnson kernel
Thomas Church
The codimension-one cohomology of SL_n Z
Thomas Church, Andrew Putman
Homological stability for configuration spaces of manifolds
Thomas Church
Bounding the homology of FI-modules
Thomas Church
FI-modules over Noetherian rings
Thomas Church, Jordan S. Ellenberg, Benson Farb +1
Infinite generation of the kernels of the Magnus and Burau representations
Thomas Church, Benson Farb
Generating the Johnson filtration II: finite generation
Thomas Church, Andrew Putman
Representation theory and homological stability
Thomas Church, Benson Farb
A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)
Thomas Church, Benson Farb, Andrew Putman
Rotor-routing and spanning trees on planar graphs
Melody Chan, Thomas Church, Joshua A. Grochow
FI-modules and stability for representations of symmetric groups
Thomas Church, Jordan S. Ellenberg, Benson Farb