Simran Khunger

I am a fourth 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 Interests

    My advisor is Tasho Kaletha. I'm interested in various 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.

Publications/Preprints
  1. On the moments of one-level densities in families of holomorphic cusp forms in the level aspect.
      2. 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.
      Algebra & Number Theory 20-2 (2026), 237–298. [arXiv]

  2. Generalizations of Alder's Conjecture via a conjecture of Kang and Park.
      A. Duncan, S. Khunger, H. Swisher, R. Tamura.

  3. 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]

  4. Explicit zero-free regions for automorphic L-functions.
      S. Creech, A. Hamieh, S. Khunger, K. Sinha, J. Streipel, K. Tsang.
      Submitted. (2025) [arXiv]

  5. Mod p Iwasawa algebras of pro-p Iwahori subgroups.
      R. Ariaz, S. Creech, B. Hu, S. Khunger, K. Koziol, B. Rankothge, N. Reddy, B. Zhang.
      Submitted. (2026) [arXiv]
Current Involvement
  • I am on the executive board for UM's AWM chapter.
  • I help mentor for UM's DRP program.