headshot photo of Dr. Ahmed Sebbar

Dr. Ahmed Sebbar

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

Biography

Education

1978-1980
PhD in Mathematics, Bordeaux University

1976-1977
Master in pure Mathematics, Bordeaux University

1975-1976
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.

Keywords 

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

 

Recent Creative, Scholarly Work and Publications

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.
Sur deux formules de Frobenius et Stickelberger et inversion de Lagrange, Complex Analysis and Operator Theory, January 2016, Volume 10, Issue 1, pp 29-60.
Fa`a di Bruno’s Formula and Modular forms, Complex Analysis and Operator Theory, January 2016, Volume 10, Issue 2, pp 409-435.
Finite and Infinite Order Differential Relations for Theta Functions, Milan J. Math. (2016) 84: 317-347.