Introduces p-adic asymptotics and proves the smallest real pole (with simplicity and residue when graded) of local zeta functions for residually nilpotent algebras, establishing parts of Rossmann's conjectures.
On the poles of Igusa’s local zeta function for curves
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$p$-Adic Asymptotic Subalgebra Enumeration
Introduces p-adic asymptotics and proves the smallest real pole (with simplicity and residue when graded) of local zeta functions for residually nilpotent algebras, establishing parts of Rossmann's conjectures.