I am in my final year of my doctoral study in Mathematics, where my research topic is $p$-groups, specifically classification of $p$-groups by coclass. My work involves a great deal of computation in GAP. I really like programming and have knowledge in C, MatLab and Mathematica.
So far all my research is in pure math but for my post-doctoral research I would like to research some applications of algebra/group theory. I don't have sufficient knowledge in this regard though I have heard that genomics and crystallography both rely on applied algebra.
I would appreciate learning of some areas/fields where I can apply computational applied algebra as well as institutions/centers and/or scholars whom I could contact.