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.
Congruences between coefficients of a class of eta quotients and their applications to combinatorics.
(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