I am a third year mathematics Ph.D. student at the University of Michigan, Ann Arbor. I am interested in representation theory and the Langlands program.
- Email address: skhunger at umich dot edu
Research Areas
My advisor is Tasho Kaletha. These days, I'm thinking about the refined Local Langlands conjecture. I'm also interested in aspects of automorphic forms, especially on the analytic side. My research has been in representation theory, analytic number theory, and partition theory.
I am currently funded by the NSF GRFP under Grant No. DGE-2241144.
- On the moments of one-level densities in families of holomorphic cusp forms in the level aspect.
- Generalizations of Alder's Conjecture via a conjecture of Kang and Park.
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A. Duncan, S. Khunger, H. Swisher, R. Tamura.
- Limiting Spectral Distributions of Families of Block Matrix Ensembles.
- T. Dunn, H. Fleischmann, F. Jackson, S. Khunger, S. J. Miller, L. Reifenberg, A. Shashkov, S. Willis.
- The PUMP Journal of Undergraduate Research 5 (2022), 122-147. [arXiv]
- Explicit zero-free regions for automorphic cuspidal newforms.
- S. Creech, A. Hamieh, S. Khunger, K. Sinha, J. Streipel, K. Tsang.
- In preparation. (2023)
- On Iwasawa algebras of p-adic groups.
- R. Ariaz, S. Creech, B. Hu, S. Khunger, K. Koziol, B. Rankothge, N. Reddy, B. Zhang.
- In preparation. (2024)
- P. Cohen, J. Dell, O. E. González, G. Iyer, S. Khunger, C. Kwan, S. J. Miller, A. Shashkov, A. S. Reina, C. Sprunger, N. Triantafillou, N. Truong, R. V. Peski, S. Willis, Y. Yang
- Accepted to Algebra and Number Theory (2025). [arXiv]
- I am on the executive board for UM's AWM chapter. I liaise with the department to invite diverse speakers for our colloquium. Have an idea for a speaker for UM's colloquium? Drop me an email!
- I help run and mentor for UM's DRP program.
- In 2023-24, I am organizing a student number theory reading seminar on automorphic representations and related topics.