Our research is part of evolutionary graph theory, focusing on the dynamics of mutations in structured populations. We primarily study the Moran process and its modifications to understand how network structures influence evolutionary outcomes.

A significant part of our recent work explores the concept of "replacers",  efficient competitors that optimize their reproduction by always replacing an individual of another type. We study the evolutionary advantage and stability of such phenotypes on various graphs, revealing that these strategies can grant immense evolutionary stability to the resident population. 

We have obtained several results in this area. You can find our recent preprints below.