I did my master in the university of Lisbon under the supervision of professor Csaba Schneider.
The research topic of my master work fits in the frame of permutation group theory, more specifically, I studied a property of permutation groups called synchronization.
The synchronization property emerged in automata theory, related to the Cerny Conjecture and the study of this property was translated in the language of permutation groups.
It is known that a synchronizing group is primitive.
So an instesting question is to find when the converse is also true, that is, which primitive groups are synchronizing.
An interesting survey by Peter Cameron, João Araújo and Benjamin Steinberg can be found here.
In my dissertation I studied the class of affine groups, since in this class there are examples of synchronizing and non-synchronizing groups.
It turns out that the existence of the synchronization property in primitive affine permutation groups is deeply connected to the study of a widely studied class of graphs, called the generalized Paley graphs.
In my thesis I characterize affine synchronizing groups on dimension 2.
You can find more details in my master thesis and defense presentation copies.