headshot photo of Dr. Ahmed Sebbar

Dr. Ahmed Sebbar

Schmid College of Science and Technology; Mathematics
Office Location: Keck Center for Science and Engineering 362



PhD in Mathematics, Bordeaux University

Master in pure Mathematics, Bordeaux University

B.S. in Mathematics, Mohamed V University, Rabat Morocco. 

Research Interests

The research interests of Dr.Sebbar center essentially around the geometric theory of functions. This includes the complex analysis of planar domains and their links to modular forms through uniformisation and to some aspects of Number theory.  Another research subject concerns Groups action on hyperbolic spaces in connection with Frobenius determinant and representation theory.


Green’s functions, Bergman kernel, Heat equation, Modular forms, infinite order differential operators, Frobenius determinant.


Recent Creative, Scholarly Work and Publications

Vieta's formula and Fabius function
Weierstrass functions, Probability and Statistical Mechanics, Notes of course (140 pages, to be continued this year) (The final title is not fixed yet)
On a special étale algebra (80 pages)
Harmonic numbers, harmonic series and zeta function, Moroccan J. of Pure and Appl. Anal. (MJPAA) Vol. 4(2), 2018, Pages 122–157
Finite Union of intervals and Theta Characteristics, Part I. Advances in Complex Analysis and Operators theory. Festschrift in honor of Daniel Alpay’ 60th birthday, p.301-345, Birkhäuser.
Fa\` a di Bruno's Formula and Modular forms (with D. Meguedemi), Complex Analysis and Operator Theory, January 2016, Volume 10, Issue 2, pp 409-435.
Sur deux formules de Frobenius et Stickelberger et inversion de Lagrange (with R.Gay et M. Grang\'e), Complex Analysis and Operator Theory, January 2016, Volume 10, Issue 1, pp 29-60.
Anharmonic Solutions of the Riccati equation and modular function. Forum Math. 2018 30(2):433-455.