22 citations · 54 across the 17 of their papers we have counts for
18 papers
Orbital integrals and normalizations of measures
Julia Gordon, with appendix by Matthew Koster
This note provides an informal introduction, with examples, to some technical aspects of the re-normalization of measures on orbital integrals used in the work of Langlands, Frenke…
Counting abelian varieties over finite fields via Frobenius densities
Jeff Achter, Salim Ali Altug, Luis Garcia +3
Let be a principally polarized abelian variety over a finite field with commutative endomorphism ring; further suppose that either is ordinary or the field is prime. Mo…
Uniform analysis on local fields and applications to orbital integrals
Raf Cluckers, Julia Gordon, Immanuel Halupczok
We study upper bounds, approximations, and limits for functions of motivic exponential class, uniformly in non-Archimedean local fields whose characteristic is or sufficiently…
Elliptic curves, random matrices and orbital integrals
Jeff Achter, Julia Gordon, Salim Ali Altug
An isogeny class of elliptic curves over a finite field is determined by a quadratic Weil polynomial. Gekeler has given a product formula, in terms of congruence considerations inv…
The canonical measure on a reductive p-adic group is motivic
Julia Gordon, David Roe
Let be a connected reductive group over a non-Archimedean local field. We prove that its parahoric subgroups are definable in the Denef-Pas language, which is a first-order lan…
Transfer principles for Bounds of motivic exponential functions
Raf Cluckers, Julia Gordon, Immanuel Halupczok
We study transfer principles for upper bounds of motivic exponential functions and for linear combinations of such functions, directly generalizing the transfer principles from [7]…