Publications


1 Research Papers

  • Semisimple elements of order 3 in finite Chevalley groups, Journal of Algebra, Vol. 56 (1979), 481-498.
  • Structure constants of algebraic groups, Journal of Algebra,
    Vol. 75(1982), 209-222.
  • Root groups, Journal of Algebra, Vol. 76(1982), 211-213.
  • The Jacobi identity, Punjab University Journal of Mathematics,
    Vol. XVI (1983), 9-30.

    PDF
  • Homogeneous CR manifolds (co-authors: A. Huckleberry and W.
    Richthofer), Journal fuer die Reine and Angewandte Mathematik,
    Vol. 358(1985), 126-154.
  • Levi-curvature of manifolds with a Stein-rational fibration, Manuscripta Mathematica, Vol. 50(1985), 269-311.
  • On a theorem of Kempf and Ness (co-author: J.J. Loeb), Indiana Univ. Math. Journal, Vol. 39(1) (1990), 61-65.
  • On the structure of parabolic subgroups (co-authors: M.J. Barry and
    G.M. Seitz), Communications in Algebra, Vol. 18(2) (1990),
    551-562.
  • Plurisubharmonic functions and the Kempf-Ness theorem (co-author: J.J.
    Loeb), Bull. London Math. Soc. 25(1993), 162-168.
  • Plurisubharmonic functions and Kaehlerian metrics on complex symmetric
    varieties (co-author: J.J. Loeb), Indagationes Mathematicae, N.S. 3(4) (1992), 365-375.
  • Totally real orbits in affine quotients of reductive groups,
    (co-authors: J.J. Loeb and M.N. Qureshi), Nagoya Math
    . Journal, Vol. 139(1995).
  • A remark on the moment map, Proc. Amer. Math. Soc., Vol.
    12(4), (1994), 1295-1297.
  • Spherically symmetric manifolds which admit five isometrics (co-author:
    M. Ziad), J. Math. Phyics, 36(1995), 1908-1911.
  • Quasi-potentials and Kaehler-Einstein metrics on flag manifolds,
    (co-authors: M.N. Qureshi and R. Kobayashi), Journal of Algebra, Vol. 126 (1997), 620-629.
  • Some applications of plurisubharmonic functions to orbits of real
    reductive groups, (co-author: J.J. Loeb), Indagationes Mathematicae, NS., 10(4) (1999), 473-482.

    PDF
  • Comments on the paper “Geometric phase, bundle classification and group
    representation” (co-authors: M.N. Qureshi, M. Ziad), J. Math. Physics, 40(1999), 3693-3696.
  • Holomorphic principal bundles over a compact Kaehler manifold
    (co-authors: B. Anchouche and I. Biswas), C. R. Acad. Sci. Paris Ser. I Math., 330(2000), no.
    2, 109-114.
  • Homogeneous affine bundles, Comm. Algebra, 16(1988), no. 8,
    1599-1603.
  • On the third Betti number of some compact homogeneous manifolds, Studia Sci. Math. Hungar. 25(1990), no. 1-2, 1-2.
  • On holomorphic principal bundles over a compact Riemann surface
    admitting a flat connection (co-author: I. Biswas), Math Annalen, 322(2002), 333-346.
  • Harder-Narasimhan reduction for principal bundles over a compact
    Kaehler manifold (co-authors B. Anchouch and I. Biswas), Math Annalen, 323 (2002), 333-346.
  • On holomorphic principal bundles over a compact Riemann surface
    admitting a flat connection II (co-author: I. Biswas), Bull. London Math. Soc (accepted).
  • Quasi-potentials and Kaehler-Einstein metrics on flag manifolds II
    (co-author: I.Biswas), Journal of Algebra, 269 (2003),
    480-491.

    PDF
  • On principal bundles over a flag manifold, (coauthor I.Biswas), Journal
    of Lie Theory,14(2004), no.2, 569-581).
  • Focusing Surfaces (Coauthors: A. Laradji, A. Qadir) , Math.Gazette 90
    (2006), no.519, 404-411).PDF
  • Harmonic morphisms of warped product type from Einstein manifolds
    (coauthor M.T.Mustafa) Archiv der Mathematik, 88,
    368-377 (2007).
  • Symmetry Analysis of Wave Equation on Sphere (coauthor M.T. Mustafa) J. Math. Anal. Appl., 333, 1180-1188 (2007).
  • Symplectic Geometry of Semisimple Orbits (coauthors,E.P.Van den Ban and
    I. Biswas) Indagationes Mathematicae 19(4), 507-533
    (2008).
  • A note on the symplectic geometry of semisimple groups (coauthor I.
    Biswas) Bulletin des Sciences Mathematiques 133(4), 330-334
    (2009).
  • A note on the tangent bundle of G/P (coauthor I.Biswas) Proc. Indian Acad. Sci. Math. Sci. 120(2010), no. 1,
    69–71.

  • Analytic solutions of initial-boundary-value problems of transient
    conduction using symmetries (coauthors: A.F.M.Arif, M.T.Mustafa). Appl. Math. Comput. 215 (2010), no. 12, 4132–4140.

  • Group Classification, optimal system and optimal reductions of a class
    of Klein Gordon equations (coauthor M.T. Mustafa, M. Ziad) Communications in Nonlinear Science and Numerical Simulation,
    15 (5), 1132-1147 (2010)

    Preprint

    .
  • Polynomial solutions of differential equations (coauthors A. Laradji,
    M. T. Mustafa), Advances in Difference Equations Article
    Number: 58 DOI: 10.1186/1687-1847-2011-58 ( 2011)

    Preprint
  • On the Conjugacy of maximal unipotent subgroups of real semisimple
    groups (coauthor I.Biswas), Journal of Lie Theory,
    Vol.22,No.3,2012.
  • On the maximal solvable subgroups of semisimple algebraic groups
    (coauthors I.Biswas and P.Chatterjee), Journal of Lie Theory,
    Vol.22,No.4,2012.
  • Polynomial solutions of certain differential equations arising in
    physics (coauthors A. Laradji, M. T. Mustafa), Mathematical Methods in
    Applied Sciences. 36 (2013), 1615-1624.

    Appendix.
  • Symmetry analysis of wave equation on static spherically symmetric
    spacetimes with higher symmetries (coauthors A. Y. Al-Dweik, R. A.
    Ghanam, M. T. Mustafa), Journal of Mathematical Physics, 54
    (2013), 063509.
  • On computing joint invariants of Lie algebras (coauthors I. Biswas,
    R.A.Ghanam,M.T.Mustafa), Journal of Geometry and Physics(2015).
  • Invariants of third-order ordinary differential equations via point
    transformations, ( coauthors Ahmad Y. Al-Dweik, M. T. Mustafa, and F.
    M. Mahomed), Mathematical Methods in Applied Sciences b(2015).
  • A note on real algebraic groups , H. Azad & Indranil Biswas , Forum
    Mathematicum (2016) Forum Mathematicum , 2016 Volume 28 ,Issue 3.
  • A point symmetry based method for transforming ODEs with
    three-dimensional symmetry algebras to their canonical forms (
    coauthors:Ahmad Y. Al-Dweik, F. M. Mahomed, M. T. Mustafa) , Applied
    Mathematics and Computation (2016).
  • Higher order self-adjoint operators with polynomial coefficients, H.
    Azad, A. Laradji and M.T.Mustafa, (Electronic Journal of Differential
    Equations, Vol. 2016 (2016), No. 22, pp. 1–21. ISSN: 1072-6691. URL:
    http://ejde.math.txstate.edu or http://ejde.math.unt.edu )
  • Embedding algorithms and applications to differential equations
    (coauthorsSajid Ali
    ,Indranil Biswas,
    Ryad Ghanam,
    Tahir Mustafa
    ) to appear : Journal of Symbolic Computation (2017)

  • Equality of the Algebraic and Geometric ranks of Cartans Subalgebras
    and Applications to Linearization of a System of Ordinary Differential
    Equations

    https://arxiv.org/abs/1612.08535
  • A note on the Jordan normal form

    Preprint
  • Orbits of Real Algebraic Groups. Preprint


2 Papers on Education

  • On a theorem of Clay (co-author: A. Laradji), College Math. Journal, Vol. 31, No. 5, Nov. 2000, p. 405.
  • The projection Method in Evaluating Multiple Integrals, Intl. J. of Math. Ed. in Sc. and Tech. (UK)
    2001, Vol. 32, 444-466.
  • On the Definition of the Cross Product (IJMEST) (UK), 2001,
    Vol. 32, # 4, 585-587.
  • An equality for certain exponential sums (coauthor: A. Laradji), Math.
    Gazette, Vol.87, No.510, (2003).p.525-527.
  • Some impossible constructions in elementary geometry (coauthor: A.
    Laradji), Math. Gazette, Vol.88, No.513 (2004), 548-551.
  • Why do certain limacons have a dimple (coauthor T.Mustafa), Teaching
    Mathematics and its Applications, Oxford Univ. Press. Advance Access
    published on March 29, 2006. (doi:10.1093/teamat/hrl003).
  • Technology and Calculus Sequence (coauthor M. T. Mustafa).


3 Books

  • Algebraic Groups by T.A. Springer, Birkhauser Verlag (1981). I wrote
    the first draft.
  • Post-Modern Analysis by J. Jost, Springer Verlag, 1998. I translated
    the German MS into English.


4 Essays

  • Mathematics as a Profession: Essay written for the Mathematics
    Awareness Committee of KFUPM.
  • Letter from a Mathematician, Plus Magazine, March 2003, Millenium
    Mathematics Project, Cambridge University.
  • Mathematics Around Us: Essay written for Mathematics Awareness
    Committee.
  • Mathematics Arts and Real Life: Reflections on Teaching Mathematics.
  • Group Theory: What is it good for.