Dr. Abdellah Sebbar
Full Professor of Mathematics
STEM Complex
Office 647
University of Ottawa
Department of Mathematics and Statistics, 150 Louis-Pasteur
Ottawa, ON, K1N 6N5 Canada
Education
1992: Bachelor's degree in pure mathematics (Rabat) 1992-1993: Master's degree (DEA) (Strasbourg) 1993-1997: Fulbright Scholarship, PhD in
Mathematics (Stony Brook)
Employment
1997-1999: CRM-ISM Postdoctoral Fellowship
1999-2001: Canadian Mathematical Society Instructor 2001-2004: Assistant Professor (UOttawa)
2004-2013: Associate Professor (UOttawa)
2013- Present : Full Professor (UOttawa)
A solitary serfer on a Soliton wave, and a replicable function!
Groups, Schwarz derivatives, Theta functions, Lattices
and Homogeneous Polynomials, what is the link?
Research Interests
I work on a wide variety of research topics in number theory, arithmetic geometry and algebraic geometry. In particular, I am interested in classical modular forms, vector-valued modular forms, elliptic curves, elliptic surfaces as well as transcendence properties of elliptic periods and pseudo-periods.
One of my favourite research topic is the theory of equivariant functions on the upper half-plane that I have developed in the past few years. It has several applications to modular forms and to automorphic differential equations.
I also work on Moonshine and on the classification of congruence and non-congruence subgroups of the modular group using graph theory and other techniques.
Finally, I am still interested in the representation theory of quantum groups and in mathematical physics.
Oh! I forgot to mention that I am a big fan of the Schwarz derivative.
Courses:
Fall 2018: MAT 2522 & MAT 3720
Winter 2019: MAT 3521 & MAT 3741
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