My name is Abdul and I am currently a post-doctoral fellow at Queens 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, 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. Also, here is a link to my google scholar profile.
Email address 1 : abdul dot zalloum at utoronto dot ca
Email address 2 : zalloumabdul at gmail dot com
Positions I have held so far:
2014-2019: Finished my PhD from SUNY Buffalo under the supervision of Johanna Mangahas and Ruth Charney.
2019-2022: Held a post-doctoral fellowship at Queens University working with Thomas Barthelmé and Francesco Cellarosi.
2022-2024: Held a post-doctoral fellowship at the University of Toronto 2022-2024 working with Kasra Rafi and Giulio Tiozzo.
2024-2025: Held a researcher position at IASM.
2025-Now: Post-doctoral fellowship at Queens University working with Thomas Barthelmé.