Proves optimal homological vanishing line for H_i(B_n, V^{\otimes n}) giving power-saving cancellation bounds for Gauss sums and character sums over function fields, extending Patterson's conjecture.
Representation theory and homological stability
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Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$
Proves optimal homological vanishing line for H_i(B_n, V^{\otimes n}) giving power-saving cancellation bounds for Gauss sums and character sums over function fields, extending Patterson's conjecture.