Abdalrazzaq Zalloum (Abdul)

I am a Coleman post-doctoral fellow at Queen's University. 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 and CAT(0) cube complexes.