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](https://en.wikipedia.org/wiki/Coclass). My work involves a great deal of computation in [GAP](https://www.gap-system.org/). 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. Regarding location, I am open to any place but in specific I am looking for some positions in USA & Canada, Europe & UK or in Australia & New Zealand.



Research in applied algebra
In the UK, there is the [Applied Algebra and Geometry Research Network](https://www.nottingham.ac.uk/Mathematics/Research/Algebra-and-Analysis/AppliedAlgebraGeometry.aspx). You could browse the list of former speakers and abstracts for ideas.


The University of St Andrews has a [strong group](http://www-maths.mcs.st-andrews.ac.uk/pg/pure/Algebra/members.php) in Combinatorics and Algebra, with some members (such as [Rosemary Bailey](http://www-groups.mcs.st-andrews.ac.uk/~rab/)) working on computations and applications.


In Ireland, [Graham Ellis](http://www.nuigalway.ie/our-research/people/mathematics-statistics-and-applied-mathematics/grahamellis/)'s group at NUI Galway is very active in the field of computational algebra.


In Leipzig, Germany there is the Max Planck Institute for Mathematics in the Sciences, where in particular [Bernd Sturmfels' group](https://www.mis.mpg.de/nlalg/research.html) works on applications of algebra to non-linear models


