Welcome to my website

I am Shashika Petta Mestrige.

I am a graduate student at Louisiana State University. In my research, I investigate the divisibility properties of partition functions using the theory of modular forms. My work has included a significant amount of explicit computation with modular forms, as well as with modular function fields and related bases for modular curves of small genus. I am currently investigating the l-adic module structures associated with several partition functions. My advisors are Prof. Karl Mahlburg and Prof. Fang-Ting Tu. You can access my CV here.

Publications:

  1. Congruences modulo powers of 11 for some eta quotients.

(https://link.springer.com/article/10.1007%2Fs40993-019-0180-z)

Here I proved the congruences between the coefficients of a class of eta quotients modulo powers of 11 using the work of Basil Gordon.

  1. Congruences for a class of eta quotients and their applications.

(https://arxiv.org/abs/2010.01594)

In this paper, I extended the ideas of the previous paper and proved the congruences between the coefficients of the same class of eta quotients modulo powers of primes 5, 7, 13, and 17. I used this result to give simple proofs of several recent results about partition congruences.

Current work:

l- adic module structures associated with several partition generating functions.

This is a joint work with Prof. Karl Mahlburg. Following the work of Folsom-Kent-Ono-Boylan-Webb , I am investigating similar l-adic module structures associated to several partition generating functions, including l-regular partitions and l-core partitions.

Contact me


3 6 1 Lockett Hall

Field House Dr

Baton Rouge

LA - 70803

p c h a m a 1 @ l s u dot e d u