7 citations · 10 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Contragredients and a multiplicity one theorem for general Spin groups
Melissa Emory, Shuichiro Takeda
Each orthogonal group $\OO(n)$ has a nontrivial $\GL(1)$-extension, which we call $\GPin(n)$. The identity component of $\GPin(n)$ is the more familiar $\GSpin(n)$, the general Spi…
Sato-Tate Distributions of and
Melissa Emory, Heidi Goodson
We determine the Sato-Tate groups and prove the generalized Sato-Tate conjecture for the Jacobians of curves of the form where is an o…
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_{…
Towards the Sato-Tate Groups of Trinomial Hyperelliptic Curves
Melissa Emory, Heidi Goodson, Alexandre Peyrot
We consider the identity component of the Sato-Tate group of the Jacobian of curves of the form …