Ila Varma

I am a fifth year graduate student at Princeton University under the advisement of Manjul Bhargava and Richard Taylor.
I'm mainly interested in:

Contact Info

Email: ivarma at math dot princeton dot edu
Office: Room 511 in Fine Hall, Princeton University
Mailing Address: Fine Hall, Washington Road, Princeton NJ 08544

Preprints


The mean number of 3-torsion elements in ray class groups of quadratic fields with fixed squarefree conductor
(in preparation)
arXiv logo
p-adic q-expansion principles on unitary Shimura Varieties
with Ana Caraiani, Ellen Eischen, Jessica Fintzen, and Elena Mantovan.
(submitted)
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Local-global compatibility for regular algebraic cuspidal automorphic representations when ℓ ≠ p
(submitted)

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On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields
with
Manjul Bhargava
to appear in Duke Mathematical Journal
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The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders
with
Manjul Bhargava
to appear in the Proceedings of the London Mathematical Society

Papers

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Finding elementary formulas for theta functions associated to even sums of squares
Indagationes Mathematicae 22 (2011), Issues 1-2, Pg. 12-26

Notes & Miscellanea

PDF logo Sums of Squares, Modular Forms, and Hecke Characters
Master Thesis, Leiden University, June 2010.
PDF
                logo Kummer, Regular Primes, and Fermat's Last Theorem
Harvard Mathematics College Review, 2 (2008), Issue 2, Pg. 12-24
PDF logo Classification of vector bundles on P^1 over a field via elementary operations on matrices
Lecture Notes, Fall 2009.