My name is Abdul and I am a post-doctoral fellow at University of Toronto. I have obtained my PhD in May 2019 under the supervision of Johanna Mangahas and Ruth Charney. I am mainly interested in geometric group theory, which studies the interplay between the algebraic structures of groups and the geometries of the spaces on which they act. The following theorem is a naive example of the above phenomenon "a group is free if and only if it admits a free action on some tree". In this theorem, the geometric property of the tree having no loops, informed the algebraic property of the group being free and vice versa; this is a theme in geometric group theory. 


I am particularily interested in generalizations of hyperbolicity, boundaries of groups, CAT(0) spaces (and cube complexes); and growth. Recently, I have become interested in hierarchichally hyperbolic groups and their relations to CAT(0) cube complexes. For more details, see my Research Statement and CV 

 

Email address: abdul dot zalloum at utoronto dot ca