## 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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