Source Title: New York Journal of Mathematics, Quartile: Q3, DOI Link
View abstract ⏷
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p- adic fields the associated unitary group G = U(n, n + 1) contains a parabolic subgroup p with Levi component L isomorphic to GLn (E) X U1 (E). Let ? be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation lG P ? is reducible
Patents
Projects
Scholars
Interests
Advanced Statistics
Machine Learning
Number Theory
Representation Theory of Finite Groups
Representation Theory of p-adic Groups
Thought Leaderships
There are no Thought Leaderships associated with this faculty.
Top Achievements
Education
2003
BTech
IIT Madras
2008
MSc
University of Hyderabad
2013
MA
University of Oklahoma
USA
2019
PhD
University of Oklahoma
USA
Experience
Sep 2008 to Apr 2009 - Temporary Lecturer, University of Hyderabad
June 2011 to May 2019 - Teaching Assistant, Mathematics Department, University of Oklahoma, USA
June 2019 to March 2021- Postdoctoral Research Fellow, IISER- Tirupati
April 2021 to July 2021- Guest Faculty in Mathematics, SRM University-AP
Aug 2021 to Nov 2021- Postdoctoral Fellow, IISER Berhampur
Nov 2021 to May 2023- Lead Trainer for Data Scientists,Tiger Analytics, Chennai
Research Interests
Representation Theory of p-adic Groups and Finite Groups- Hecke Algebras, Types and Covers, L-functions, Local Langlands Correspondence.
Algebraic and Analytic Number Theory- Modular forms
Awards & Fellowships
2011- National Board of Higher Mathematics (NBHM) PhD Scholarship Award
2011- Secured 42nd Rank in GATE Mathematics Exam
2006- Secured 165th Rank in IIT JAM Exam
1999- Secured 131st Rank in AP EAMCET Exam
1999- Secured 1416th Rank in IIT-JEE Exam
2009- CSIR- Council of Scientific and Industrial Research (Mathematics), UGC(JRF)-NET Fellowship
2018- Mathematics Graduate Student Association(MGSA ) Good Citizen Award, University of Oklahoma
2021- Postdoctoral Fellowship in Mathematics- HRI, Allahabad (Did not avail)
2019- Postdoctoral Fellowship in Mathematics- IISER Tirupati
2021- Postdoctoral Fellowship in Mathematics- IISER Berhampur
Memberships
No data available
Publications
On reducibility of induced representations of odd unitary groups: the depth zero case
Source Title: New York Journal of Mathematics, Quartile: Q3, DOI Link
View abstract ⏷
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p- adic fields the associated unitary group G = U(n, n + 1) contains a parabolic subgroup p with Levi component L isomorphic to GLn (E) X U1 (E). Let ? be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation lG P ? is reducible
Source Title: New York Journal of Mathematics, Quartile: Q3, DOI Link
View abstract ⏷
We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p- adic fields the associated unitary group G = U(n, n + 1) contains a parabolic subgroup p with Levi component L isomorphic to GLn (E) X U1 (E). Let ? be an irreducible supercuspidal representation of L of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation lG P ? is reducible
