Publications:

• Equivariant solutions to modular Schwarzian equations. J. Math. Anal. Appl. 508 (2022). With Hicham Saber


• On the modularity of solutions of certain differential equations of hypergeometric type. The Bulletin of the Australian Math. Soc. DOI: https://doi.org/10.1017/S0004972721000721. With Hicham Saber


• Automorphic Schwarzian equations and integrals of weight 2 forms. The Ramanujan Journal (2021) DOI 10.1007/s11139-020-00348-w. With Hicham Saber


• Automorphic Schwarzian equations. Forum Math. 32 (2020), no. 6, 1621–1636. With Hicham Saber


• Modular groups and planar maps. Accepted in The Rocky Mountain Journal of Math. https://arxiv.org/abs/1910.03050. With Khalil Besrour.


• Schwarzian equations and equivariant functions. 2017 MATRIX annals, 449–460, MATRIX Book Ser., 2, Springer, Cham, 2019.


• Elliptic zeta functions and equivariant functions. Canadian Mathematical Bulletin 61(2018), no. 2, 376-389. With I. Al-Shbail.


• On the existence of Vector-valued automorphic forms. Kyushu J. of Math. Volume 71 (2017) Issue 2 Pages 271-285. With H. Saber.


• Equivariant functions and vector-valued modular forms. Int. J. Number Theory 10 (2014), no. 4, 949–954 With H. Saber.


• On the critical points of modular forms. J. of Number Theory 132 (2012) 1780-1787, DOI No:10.1016/j.jnt.2012.03.004. With H. Saber.


• Equivariant forms: Structure and geometry. Canadian Mathematical Bulletin, DOI No: 10.4153/CMB-2011-195-2. With A. Elbasraoui


• Rational equivariant forms. International Journal of Number theory, DOI No: 10.1142/S1793042112500571. With A. Elbasraoui


• Equivariant functions and integrals of elliptic functions. Geometriae Dedicata, DOI No:10.1007/s10711-011-9688-7. With Ahmed Sebbar.


• Eisenstein series and modular differential equations. Canad. Math. Bull. Vol. 55 (2), 2012 pp. 400-409 doi:10.4153/CMB-2011-091-3. With Ahmed Sebbar.


• Zeros of the Eisenstein series $E_2$. Proc. Amer. Math. Soc. 138 (2010) 2289-2299. With A. Elbasraoui


• Replicable functions. Frontiers in number theory, physics, and geometry. II, 373--386, Springer, Berlin, 2007. With J. McKay


• On ADE Quiver Models and F-Theory Compactification. J. Phys. A 39 (2006) 9339-9354. With A. Belhaj, J. Rasmussen and M. Sedra


• Non-commutative ADE geometries as holomorphic wave equations. Nuclear Phys. B 727 (2005), no. 3, 499--512. A. Belhaj, J. Rasmussen and H. Saidi


• Toric Calabi-Yau supermanifolds and mirror symmetry. J. Phys. A 38 (2005), no. 28, 6405--6418. A. Belhaj, L. Drissi, J. Rasmussen and H. Saidi


• On the discrete groups of Moonshine. Proc. Amer. Math. Soc. 132 (2004), no. 8, 2233--2240. With J. Conway and J. McKay


• Modular subgroups, forms, curves and surfaces. Canad. Math. Bull. 45 (2002), no. 2, 294--308.


• Arithmetic semistable elliptic surfaces. Proceedings on Moonshine and related topics (Montr?al, QC, 1999), 119--130,
  CRM Proc. Lecture Notes, 30, Amer. Math. Soc., Providence, RI, 2001. with J. McKay


• Moonshine and related topics.< Proceedings of the Moonshine Workshop held in Montr?al, 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


• Torsion-free genus zero congruence subgroups of PSL(2,R). Duke Math. J. 110 (2001), no. 2, 377--396.


• Classification of torsion-free genus zero congruence subgroups of PSL(2,Z). Proc. Amer. Math. Soc. 129 (2001), no. 9, 2517--2527.


• Twisted L-functions and complex multiplication. J. Number Theory 88 (2001), no. 1, 104--113.


• Fuchsian groups, automorphic functions and Schwarzians. Math. Ann. 318 (2000), no. 2, 255--275. with J. McKay


• Quantum screening operators and canonical q-de Rham cocycles. Comm. Math. Phys. 198 (1998), no. 2, 283--309.


• Quantized universal enveloping algebras and q-de Rham cocycles. J. Algebra 210 (1998), no. 2, 630--663.


• Fuchsian groups, Schwarzians, and theta functions. C. R. Acad. Sci. Paris S?r. I Math. 327 (1998), no. 4, 343--348. with J. McKay