27 citations · 104 across the 13 of their papers we have counts for
14 papers
Structure theorems for braided Hopf algebras
Craig Westerland
We develop versions of the Poincaré-Birkhoff-Witt and Cartier-Milnor-Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogues of a Lie algebra i…
Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions
Jonas Bergström, Adrian Diaconu, Dan Petersen +1
We compute the stable homology of the braid group with coefficients in any Schur functor applied to the integral reduced Burau representation. This may be considered as a hyperelli…
Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields
Jordan S. Ellenberg, TriThang Tran, Craig Westerland
The purpose of this paper is to prove the upper bound in Malle's conjecture on the distribution of finite extensions of with specified Galois group. As in previou…
Twisted iterated algebraic K-theory and topological T-duality for sphere bundles
John A. Lind, Hisham Sati, Craig Westerland
We introduce a periodic form of the iterated algebraic K-theory of ku, the (connective) complex K-theory spectrum, as well as a natural twisting of this cohomology theory by higher…
Topological T-duality is twisted Atiyah duality
Craig Westerland
We show that the topological T-duality for circle bundles introduced in work of Bouwknegt-Evslin-Mathai can be interpreted as a form of Atiyah duality for twisted K-theory.
Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields, II
Jordan S. Ellenberg, Akshay Venkatesh, Craig Westerland
We prove a version of the Cohen--Lenstra conjecture over function fields (completing the results of our prior paper). This is deduced from two more general theorems, one topologica…