Melissa Emory

About me

I am an Assistant Professor at Oklahoma State University. Previously I was a NSF Postdoctoral Fellow at the University of Toronto with mentor James Arthur . I earned my PhD from the University of Missouri in 2018 with advisor Shuichiro Takeda who is now at Osaka University.

We are organizing the 36th Automorhphic Forms Workshop to be held at OSU on May 20-24, 2024.

We will hold the Texas-Oklahoma Representations and Automorphic Forms Conference at OSU in Spring 2025.

I am a faculty adviser for the Oklahoma State University Chapter of The Association for Women in Mathematics

My Vita

Contact info

Office : MSCS 526

Email: melissa.emory@okstate.edu

Research

My research interests are in automorphic forms, representation theory, and number theory.

Publications and Preprints

9. A multiplicity one theorem for general spin groups: the Archimedean case, joint with A.Maiti and Y. Kim, submitted. Preprint arxiv:2409.09320

8. Beyond Endoscopy via Poisson Summation for GL(2,K), with M. Espinosa-Lara, D. Kundu, and T. Wong, submitted. Preprint arxiv:2404.10139

7. Nondegeneracy and Sato-Tate distributions of two families of Jacobian varieties, with H. Goodson, submitted.Preprint arXiv:2401.06208

6. Contragredients and a multiplicity one theorem for general Spin groups with S. Takeda, Math Ziet (2023). Preprint arXiv:2104.04814

5. Sato-Tate distributions of y^2=x^p-1 and y^2=x^{2p}-1 with H. Goodson, J. Algebra (2022).Preprint arXiv:2004.10583

4. On Sato-Tate groups of trinomial hyperelliptic curves with H. Goodson and A. Peyrot , International Journal of Number Theory (April 2021), 2175-2206. Preprint arXiv:1812.00242

3. On the global Gan-Gross-Prasad conjecture for general spin groups, Pacific Journal of Mathematics 306-1 (2020), 115--151. Preprint arXiv:1901.01746

2. On the global Gan-Gross-Prasad conjecture for general spin groups, Ph.D. Thesis University of Missouri (2018)

1. The Diophantine equation x^4+y^4=D^2z^4 in quadratic fields, Integers 12 (2012), article A65