Broadly, I am interested in geometric and combinatorial group theory. I am currently working with Mealy automaton and CAT(0) square complexes associated to a finite Mealy automaton. Further, I study the fundmental group of this associated CAT(0) square complex. I also study self-similar groups. One such beautiful example of a self-similar group that I started my journey with is the Grigorchuk group defined by some special automorphisms on the binary tree. Below are some of the objects I spend a lot of time with:

• Rooted binary tree 

• CAT(0) cube complexes 

• Mealy automaton