Research
Preprints:
Translation functors for locally analytic representations (joint with Akash Jena and Matthias Strauch, submitted)- https://arxiv.org/abs/2107.08493
Presentation of an Iwasawa algebra:The pro-p-Iwahori of reductive groups (joint with Jishnu Ray, submitted)- https://arxiv.org/abs/2301.00458
Dagger groups and p-adic distribution algebras (joint w/ Claus Sorensen and Matthias Strauch)-https://arxiv.org/pdf/2312.00227.pdf
Work in progress:
Mechanical Modelling of Natural Phenomena- Why Fibonacci numbers are everywhere (joint w/ Sanjana Agarwal)
Overconvergent vectors in p-adic principal series representations(continued work w/ Claus Sorensen and Matthias Strauch)
Publications:
Rigid Analytic Vectors in Locally Analytic Representations ( Annales mathématiques du Québec )
Resolutions of locally analytic principal series representations of GL2 -Research in Number Theory (2021)
Rigid vectors in p-adic principal series representations (joint with Claus Sorensen)- Israel journal of mathematics (2022)
Talks:
Rigid vectors in p-adic principal series representations. TCS Number Theory Seminar, 2022
Rigid vectors in p-adic principal series representations. Binghampton Number Theory Seminar, 2022.
"A Motivated Introduction to Locally Analytic Representations. " Mathematics students seminar, TIFR, 2021
"Resolution of locally analytic principal series of GL_2" UCSD Number Theory Seminar, 2021
"Resolution of locally analytic principal series of GL_2" Indiana University Algebra Seminar, 2020
"Resolution of locally analytic principal series of GL_2" BUGCAT, 2020
"Rigid analytic vectors in locally analytic representations: Examples and applications" Binghamton, AMS Sectional Meeting, 2020
"Rigid analytic vectors in locally analytic representations: Examples and applications" , ICTS, Perfectoid Spaces, 19. Video of the talk can be found here and slides (although I hate slide talks) here.
A 5 minute talk given in jest (when I was bold and/or naive enough to talk about Shimura Curves) .