Welcome to my website

I am Shashika Petta Mestrige.

I am currently working as an assistant professor at Vermont State University, Randolph Campus. I graduated from Louisiana State University in Fall 2021.  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:

(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.

(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.


(https://digitalcommons.lsu.edu/gradschool_dissertations/5703/)

Current work:

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

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


208  Conant Hall

Admin Dr

Randolph Center

VT - 05641

sxp00133@ vtc dot vsc dot edu