Department of Mathematics at FAS, AUB
 
Department Research 

Recent Publications by Department Faculty:
(this list contains only selected publications since 2011; more faculty publications may be found on the individual faculty member's page)

Forthcoming:

  • Alhakim, A. ``Limit Theorems for Bessel processes for General Dimension d," (with S. Molchanov), to appear in Markov Processes and Related Fields.
  • Bright, M. " Brauer groups of singular del Pezzo surfaces", to appear in the Michigan Mathematical Journal..
  • Lyzzaik, A. ``On a question of T. Sheil-Small regarding valency of harmonic mappings," (with D. Bshouty), to appear in Ann. Univ. Mariae Curie-Sklodowska, Section A.
  • Nassif, N. ``Globally adaptive explicit numerical method for exploding systems of ordinary differential equations," (with N. Makhoul Karam & J. Erhel), to appear in Journal of Applied Numerical Mathematics.  
  • Raji W., ``Quadratic Polynomials, Period Polynomials and Hecke Operators" (with M. Jameson), to appear in Acta Arithmetica.
  • Raji W., " Eichler Integrals of Maass Cusp Forms of Real Weight " (with T. Muhlenbruch), to appear in Illinois Journal of Mathematics.

  • 2013:

  • Raji, W. ``Eichler Cohomology of Generalized Modular Forms of Real Weights,"Proc. Amer. Math. Soc. 141 (2013), 383-392.
  • Raji W.  " Generalized Maass Waveforms," (with t. Muhlenbruch).  Proc. Amer. Math. Soc. vol. 141, no. 4 (2013), 1143–1158
  • 2012:

  • Alhakim, A. ``Spans of Preference Functions for De Bruijn Sequences," Discrete Applied Mathematics 160 (2012), Issues 7-8, 992-998.
  • Brock, F. ``A relative isoperimetric inequality," (with M. Willem), Communications in Contemporary Mathematics , 14 (3).
  • Brock, F. ``Weighted isoperimetric inequalities in cones and applications," (with F. Chiacchio and A. Mercaldo), Nonlinear Analysis T.M.A. , 75 (2), 5737-5755.
  • Egeileh, M. ``Some remarks on the geometry of superspace supergravity," (with F. El Chami), Journal of Geometry and Physics , Vol. 62 (2012), Issue 1, 53--60.
  • Khuri-Makdisi, K. ``Moduli interpretation of Eisenstein series,'' International Journal of Number Theory 8 (2012), no. 3, 715-748.
  • Kuffner, T.A. "Objective Bayes, conditional inference and the signed root likelihood ratio statistic," (with T.J. DiCiccio and G.A. Young), Biometrika 99 (2012), no. 3, 675–686.
  • Lyzzaik, A. ``On the boundary behaviour of univalent harmonic mappings, (with D. Bshouty & A. Weitsman), Ann. Acad.Sci. Fenn. Ser. A. I. Math., Vol. 37, 2012, pp. 135-147.
  • Nahlus, N. ``Linear maps on k^I and homomorphic images of infinite direct product algebras," (with G. Bergman) Journal of Algebra, 356 (2012), 257-274.
  • Raji, W. ``On generalized Modular Forms Supported on Cuspidal and Elliptic Points," (with L. Kilford). Ramanujan Journal , Vol 27 No. 3 (2012) 285-295.
  • Raji, W. ``Expansion of Vector Valued Modular Forms of Negative Weights," (with J. Gimenez). Ramanujan Journal , Vol 27 No. 1 (2012) 1-13.
  • Raji W. "Meromorphic Functions Compatible with Homomorphisms of Actions on C, " (with R. Maalouf).  Comm. Math. Anal. Vol 1, no. 2 (2012), 116-130.
  • Shayya, B. ``When the cone in Bochner's theorem has an opening less than {pi}," Bulletin of the London Mathematical Society, 44 (2012), no. 2, 207--221.

  • 2011:

  • Abu-Khuzam, H. ``On Boolean-Like Rings and Related Rings," (with A. Yaqub). International Journal of Algebra 5 (2011), no. 6, 275-284.
  • Alhakim, A. ``A recursive construction of nonbinary de Bruijn sequences," (with M. Akinwande), Designs, Codes and Cryptography 60 (2011), no. 2, 155-169.
  • Azar, M. ``Some Lower Bounds in the B. and M. Shapiro Conjecture for Flag Varieties," (with A. Gabrielov), Discrete and Computational Geometry, v.46, no.4, 2011, p.636-659.
  • Bright, M. ``Torsors under tori and Néron models," Journal de Théorie des Nombres de Bordeaux, volume 23(2), 2011, pp. 309–321.
  • Bright, M. ``The Brauer–Manin obstruction on a general diagonal quartic surface," Acta Arithmetica, volume 147(3), 2011, pp. 291–302.
  • Bright, M. ``Evaluating Azumaya algebras on cubic surfaces," Manuscripta Mathematica, volume 134(3), 2011, pp. 405–421.
  • El Khoury, S. ``Upper Bounds for the Hilbert Coefficients of Almost Cohen-Macaulay Algebras," Int. J. Algebra , Vol. 5 (2011), no. 14, 679-690.
  • Lyzzaik, A. ``Close-to-Convexity Criteria for Planar Harmonic Mappings," (with D. Bshouty), Complex Analysis and Operator Theory, Vol. 5, no. 3 (2011), pp. 767-774.
  • Nahlus, N. ``Homomorphisms on infinite direct product algebras, especially Lie algebras," (with G. Bergman) Journal of Algebra, 333 ( 2011), 67-104.
  • Raji, W. ``Eichler Cohomology Theorem for Generalized Modular Forms," International Journal of Number Theory , Vol 7 No. 4 (2011) 1103-1113.
  • Shayya, B. ``The WAT conjecture on the torus," Proceedings of the American Mathematical Society, 139 (2011), no. 10, 3633--3643.
  • Shayya, B. ``Measures with Fourier transforms in L^2 of a half-space," Canadian Mathematical Bulletin, 54 (2011), no. 1, 172--179.
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