Research Plan Topic:

Symbolic Dynamics and its connections with Leavitt Path Algebras and other related Algebras

Introductory book/lecture notes: 

1. An Introduction to Symbolic Dynamics and Coding, D. Lind and B. Marcus.

2. Leavitt Path Algebras, G. Abrams, P. Ara, M. Siles Molina.

3. Symbolic Dynamics and Matrices, M.Boyle

Prerequisite: A basic understanding of Linear Algebra, Group Theory, Theory of Rings and Modules, brief idea about Categories, Functors, Directed graphs.