The Ottawa-Carleton Institute of Mathematics has active research groups in algebra, Lie theory and representation theory. The research interests of the faculty that comprise these groups include Lie algebras, Jordan algebras, algebraic geometry, group theory, representation theory, number theory, and quantum groups. There are regular seminars in algebra and Lie theory as well as frequent workshops and conferences.

Faculty Members

Below is a list of faculty members associated with the Algebra group, Lie Theory group, and/or Representation Theory group (for a list of which uOttawa members are in which group, see here).

University of Ottawa

• Walter Burgess - noncommutative rings, finite dimensional algebras, rings of continuous functions
• Daniel Daigle - Algebraic geometry, commutative algebra, geometry of affine spaces
• Barry Jessup - Rational homotopy, Lie algebra cohomology
• Jason Levy - Automorphic forms
• Erhard Neher - Lie algebras, Jordan algebras and groups
• Monica Nevins - Representation theory of p-adic Lie groups, cryptography
• Michel Racine - Algebra, Jordan algebra, superalgebras, polynomial identities
• Damien Roy - Transcendental number theory
• Hadi Salmasian - Lie groups, Lie algebras and their representations
• Alistair Savage - Geometric and combinatorial representation theory
• Abdellah Sebbar - Number theory, quantum groups
• Kirill Zaynullin - Linear algebraic groups, algebraic geometry, homological algebra

Carleton University

• Yuly Billig - Lie algebras and groups, Kac-Moody algebras and their representations
• Inna Bumagin - Geometric and combinatorial group theory
• John Dixon - Group theory, algebra computation
• Vlastimil Dlab - Finite dimensional algebras, representation theory
• Paul Mezo - Representations of algebraic groups, automorphic representations
• Luis Ribes - Group theory
• Benjamin Steinberg - Semigroups, automata, and groups

Postdoctoral Researchers

• Sanghoon Baek, Supervisors: Kirill Zaynullin
• Alexander Hoffnung, Supervisors: Richard Blute, Alistair Savage, Philip Scott
• Jose Malagon-Lopez, Supervisors: Daniel Daigle, Kirill Zaynullin

Graduate Students

• Reem Omar Alsmaida, Supervisor: Abdellah Sebbar
• Nifeen Altaweel, Supervisor: Abdellah Sebbar
• Renaud Brien, Supervisors: Monica Nevins and Hadi Salmasian
• Alex Goncharov, Supervisor: Hadi Salmasian
• Katherine Jarvis, Supervisor: Monica Nevins
• Caroline Junkins, Supervisor: Kiril Zaynullin
• Camelia Karimianpour, Supervisors: Monica Nevins and Hadi Salmasian
• Jonathan Ladouceur, Supervisor: Yuly Billig
• Marc-Antoine Leclerc, Supervisors: Erhard Neher and Kirill Zaynullin
• Jonathan Lemaire-Beaucage, Supervisors: Thierry Giordano and Barry Jessup
• Joel Lemay, Supervisor: Alistair Savage
• Negin Mehrdad, Supervisor: Erhard Neher
• Ngoc Ai Van Nguyen, Supervisor: Damien Roy
• Alexandra Nur, Supervisor: Daniel Daigle
• Hicham Saber, Supervisor: Abdellah Sebbar
• John Talboom, Supervisor: Yuly Billig