Department of Pure Mathematics
University of Waterloo
Waterloo ON N2L 3G1
Email: rjaoui at uwaterloo.ca
I am a researcher in mathematics working in model theory and applications of model theory to concrete geometric settings. I have worked on several applications of geometric stability theory and Zilber's trichotomy to the study of transcendance properties for the solutions of algebraic differential equations. In my research, I have combined model-theoretic techniques with other techniques coming from more classical treatments of ordinary differential equations such as the theory of algebraic foliations and the classical real-analytic treatement of ordinary differential equations.
I am currently a Postdoctoral fellow in the Department of Pure Mathematics, University of Waterloo where I am working with Professor Rahim Moosa . I obtained my Ph.D in June 2017 from the Départment de mathematiques d'Orsay, Université Paris Saclay under the supervision of Jean-Benoît Bost (Orsay) and Martin Hils (Münster).
Here is a my recent Curriculum Vita .
Research interests: Geometric stability theory, Zilber's trichotomy, algebraic vector fields and foliations, ergodic properties of vector fields
Publications and preprints
Flots géodésiques et théorie des modèles des corps différentiels , 2017.
- PMATH 330 - Introduction to Mathematical Logic, University of Waterloo, Fall 2018.
- MATH 207 - Calculus 3 (Non-Specialist Level) , University of Waterloo, Spring 2018.
- MATH 135: Algebra for Honours Mathematics-,University of Waterloo, Fall 2017.
- (TA) : Reduction des endomorphismes - Université d'Orsay, Fall 2014 - 2017.
- (TA): Algèbre II - Université d'Orsay, Spring 2014 - 2017
Disintegration and planar algebraic vector fields, Workshop on Model Theory, Differential/Difference Algebra, and Applications, CUNY/Courant, March 2019. ( video )
Disintegrated differential equations, DART IX, Leeds, July 2018. ( slides )
Disintegrated differential equations and mixing Anosov flows , Conference Model Theory and Applications, Institut Henri Poincaré, March 2018. ( slides and video )
Geodesic flows and model theory of differential fields, Canadian Mathematical Society Winter Meeting (Model theory session), Waterloo, December 2017. ( slides )