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math.KT2017
The mod 2 cohomology rings of congruence subgroups in the Bianchi groups
Ethan Berkove, Grant Lakeland, Alexander Rahm +2
We provide new tools for the calculation of the torsion in the cohomology of congruence subgroups in the Bianchi groups : An algorithm for finding particularly useful fundamental d…
math.KT2015
The mod 2 cohomology rings of SL\_2 of the imaginary quadratic integers
Ethan Berkove, Alexander Rahm
We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL\_2 groups over imaginary quadratic integers on their associ…
math.KT2003
Algebraic K-theory of mapping class groups
Ethan Berkove, Daniel Juan-Pineda, Qin Lu
We prove that the Fibered Isomorphism Conjecture of T. Farrell and L. Jones holds for various mapping class groups. In many cases, we explicitly calculate the lower algebraic K-gro…