Dr. Punya Plaban Satpathy

Dr. Punya Plaban Satpathy

Designation: Post-Doctoral Fellow

Qualification: Ph.D., Mathematics (University of Michigan)

Phone No.:

ORCID: 0000-0003-2436-3191

E-mail ID: psatpathy81@gmail.com

BIOSKETCH:
Dr. Punya Plaban Satpathy is a Post-Doctoral Fellow at the Institute of Mathematics and Applications, Bhubaneswar. He received his Ph.D. in Mathematics from the University of Michigan in 2020, focusing on scattering theory on locally symmetric spaces. His research interests include the cohomology of arithmetic groups, semisimple linear algebraic groups over Q, and affine Kac-Moody groups, frequently employing Chevalley construction machinery. He previously served as a Postdoctoral Fellow at the University of Alberta and a Visitor at NISER Bhubaneswar. Currently, he is actively collaborating on projects exploring square integrability criteria in affine Kac-Moody settings and stable cohomology of arithmetic groups.

  • Scattering geodesics and higher-dimensional analogs on locally symmetric spaces
  • Compactification techniques for locally symmetric spaces
  • Arithmetic quotients of semisimple Lie groups and affine Kac-Moody (loop) groups
  • Cohomology of arithmetic groups and semisimple linear algebraic groups

Ph.D., Mathematics (University of Michigan)

  • Postdoctoral Fellow, Institute of Mathematics and Applications, Bhubaneswar (Aug 2025–
    Present)
  • Visitor, School of Mathematical Sciences, NISER Bhubaneswar (Jan 2025–July 2025)
  • Postdoctoral Fellow, University of Alberta (Aug 2021–Nov 2023)

  • Manish M. Patnaik and Punya Plaban Satpathy. Borel-Serre type bordifications and canonical pairs for loop groups. Submitted. arXiv:2507.13980 (2025).
  • Sudhir Pujahari and Punya Plaban Satpathy. Erdős-Kac type theorem for the number of
    scattering geodesics on the modular surface. Submitted. arXiv:2506.07474 (2025).
  • Sudhir Pujahari and Punya Plaban Satpathy. Prime scattering geodesic theorem. Submitted.
    arXiv:2505.04973 (2025).
  • Sudhir Pujahari and Punya Plaban Satpathy. Prime scattering geodesic theorem on the
    Picard orbifold. Submitted.

  • Rackham One-Term Dissertation Fellowship, University of Michigan (2018)
  • Michigan Mathematics Graduate Fellowship, University of Michigan (2015–2017)
  • CSIR-NET Junior Research Fellowship, AIR 16 (2013)
  • Kishore Vaigyanik Protsahan Yojana (KVPY) Fellowship (2009–2014)