Abdalrazzaq Zalloum (Abdul)
I am a Coleman postdoctoral 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.
Papers:
 Rank one isometries in Sublinearly Morse Boundaries with Yulan Qing. [pdf]
 A symbolic coding of the
Morse boundary. [pdf]
 Regular languages for contracting geodesics with Joshua Eike. [pdf]
Current projects:
 Sublinearly Morse geodesics in CAT(0) cube complexes, with Devin Murray and Yulan Qing.
 Growth of stable subgroups in Morselocaltoglobal groups, with Mathew Cordes, Jacob Russell and Davide Spriano.
Theses
Invited Seminar Talks:

University at Albany, February 13, 2020

McGill University, January 8, 2020

Colombia University, November 1, 2019

Queen's University, October 21, 2019

University of Toronto, August 16, 2019

Technion  Israel Institute of Technology, May 23, 2019

Hebrew University, May 21, 2019

Vanderbilt University, January 23, 2019

University at Buffalo, November 9, 2018

Brandeis University, November 6, 2018

Brown University, October 31, 2018

Cornell University October 23, 2018

University at Buffalo, March 16, 2018