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 will hold the Texas-Oklahoma Representations and Automorphic Forms Conference (TORA XIV) at OSU on April 4-6, 2025.

Save the date! Clifton Cunningham, Paul Mezo, Bin Xu, and myself are organizing the conference Trace Formula, Endoscopic Classification and Beyond: the Mathematical Legacy of James Arthur to be held at The Fields Institute on August 11-15, 2025.

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

Here is the Pre Arizona Winter School (PAWS) page for the course Symmetries of root systems that I taught

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