3 papers
math.NT2026
Nondegeneracy and Sato-Tate Distributions of Two Families of Jacobian Varieties
Melissa Emory, Heidi Goodson
We consider the curves and over the rationals. These curves are related via their associated Jacobian varieties in that the Jacobians of the la…
math.RT2024
Multiplicity One Theorem for General Spin Groups: The Archimedean Case
Melissa Emory, Yeansu Kim, Ayan Maiti
Let $\GSpin(V)$ (resp. $\GPin(V)$) be a general spin group (resp. a general Pin group) associated with a nondegenerate quadratic space of dimension over an Archimedean loca…
math.NT2024
Beyond Endoscopy via Poisson Summation for GL(2,K)
Melissa Emory, Malors Espinosa-Lara, Debanjana Kundu +1
In the early 2000's, R. Langlands proposed a strategy called Beyond Endoscopy to attack the principle of functoriality, which is one of the central questions of present day mathema…