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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…
math.NT2024
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.NT2019
On the global Gan-Gross-Prasad conjecture for general spin groups
Melissa Emory
We formulate a global Gan-Gross-Prasad conjecture for general spin groups. That is, we formulate a conjecture on a relation between periods of certain automorphic forms on $GSpin_{…