Publications:
-
Elbasraoui, A.; Sebbar, A. Equivariant forms: Structure and geometry. 12 pages. Accepted in Canadian Mathematical Bulletin
-
Elbasraoui, A.; Sebbar, A. Rational equivariant forms. 20 pages. Accepted in International Journal of Number theory
-
Sebbar, Abdellah; Saber, Hicham. On the critical points of modular forms. 11 pages. Submitted
-
Sebbar, Abdellah; Sebbar, Ahmed. Equivariant functions and integrals of elliptic functions. 43 pages. Accepted in Geometriae Dedicata
-
Sebbar, Abdellah; Sebbar, Ahmed. Eisenstein series and modular differential equations. Canadian Mathematical Bulletin
doi:10.4153/CMB-2011-091-3
-
Elbasraoui A.; Sebbar, A. Zeros of the Eisenstein series $E_2$. Proc. Amer. Math. Soc. 138 (2010) 2289-2299.
-
McKay, J.; Sebbar, A. Replicable functions: an introduction. Frontiers in number theory, physics, and geometry. II, 373--386, Springer, Berlin, 2007.
-
Belhaj, A.; Rasmussen, J.; Sebbar, A.; Sedra, M.B. On ADE Quiver Models and F-Theory Compactification. J. Phys. A 39 (2006) 9339-9354
-
Belhaj, A.; Rasmussen, J.; Saidi, H.; Sebbar, A. Non-commutative ADE geometries as holomorphic wave equations.
Nuclear Phys. B 727 (2005), no. 3, 499--512
- Belhaj, A.; Drissi, L. B.; Rasmussen, J.; Saidi, E. H.; Sebbar, A. Toric Calabi-Yau supermanifolds and mirror symmetry.
J. Phys. A 38 (2005), no. 28, 6405--6418
- Conway, John; McKay, John; Sebbar, Abdellah. On the discrete groups of Moonshine. Proc. Amer. Math. Soc. 132 (2004), no. 8, 2233--2240
- Sebbar, Abdellah. Modular subgroups, forms, curves and surfaces. Canad. Math. Bull. 45 (2002), no. 2, 294--308.
- McKay, John; Sebbar, Abdellah. Arithmetic semistable elliptic surfaces. Proceedings on Moonshine and related topics (Montréal, QC, 1999), 119--130,
CRM Proc. Lecture Notes, 30, Amer. Math. Soc., Providence, RI, 2001.
- Moonshine and related topics.< Proceedings of the Moonshine Workshop held in Montréal, QC, May 1999. Edited by John McKay and Abdellah Sebbar.
CRM Proceedings & Lecture Notes, 30. American Mathematical Society, Providence, RI, 2001. xii+268 pp. ISBN: 0-8218-2879-7
- Sebbar, Abdellah. Torsion-free genus zero congruence subgroups of PSL(2,R). Duke Math. J. 110 (2001), no. 2, 377--396.
- Sebbar, Abdellah. Classification of torsion-free genus zero congruence subgroups of PSL(2,Z). Proc. Amer. Math. Soc. 129 (2001), no. 9, 2517--2527.
- Sebbar, Abdellah. Twisted L-functions and complex multiplication. J. Number Theory 88 (2001), no. 1, 104--113.
- McKay, John; Sebbar, Abdellah.Fuchsian groups, automorphic functions and Schwarzians. Math. Ann. 318 (2000), no. 2, 255--275.
- Sebbar, Abdellah. Quantum screening operators and canonical q-de Rham cocycles. Comm. Math. Phys. 198 (1998), no. 2, 283--309.
- Sebbar, Abdellah. Quantized universal enveloping algebras and q-de Rham cocycles. J. Algebra 210 (1998), no. 2, 630--663.
- McKay, John; Sebbar, Abdellah. Fuchsian groups, Schwarzians, and theta functions. C. R. Acad. Sci. Paris Sér. I Math. 327 (1998), no. 4, 343--348.