5 citations · 14 across the 15 of their papers we have counts for
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Cohomological and motivic inclusion-exclusion
Ronno Das, Sean Howe
We categorify the inclusion-exclusion principle for partially ordered topological spaces and schemes to a filtration on the derived category of sheaves. As a consequence, we obtain…
Zeta statistics and Hadamard functions
Margaret Bilu, Ronno Das, Sean Howe
We introduce the Hadamard topology on the Witt ring of rational functions, giving a simultaneous refinement of the weight and point-counting topologies. Zeta functions of algebraic…
Motivic Euler products in motivic statistics
Margaret Bilu, Sean Howe
We formulate and prove an analog of Poonen's finite-field Bertini theorem with Taylor conditions that holds in the Grothendieck ring of varieties. This gives a broad generalization…
Motivic random variables and representation stability I: Configuration spaces
Sean Howe
We prove a motivic stabilization result for the cohomology of the local systems on configuration spaces of varieties over attached to character polynomials. Our approa…
Motivic random variables and representation stability II: Hypersurface sections
Sean Howe
We prove geometric and cohomological stabilization results for the universal smooth degree hypersurface section of a fixed smooth projective variety as goes to infinity. We…