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Dr. Muhammad Ashiq
Associate Professor
Department of Humanities & Basic Sciences

National University of Sciences and Technology (NUST)
Military College of Signals, Humayun Road, Rawalpindi.
Tel :  0092-51 - 561 - 52-33302

Theory of Group Graphs

PhD (Mathematics) Quaid-e-Azam University Pakistan

Dr.  Muhammad Ashiq did his B.Sc. from Punjab University, Lahore in 1986 and M.Sc. in 1988, M.Phil in 1991 and Ph.D in 2005 from Quaid-i-Azam University, Islamabad. At present, he is working in Military College of Signals Rawalpindi, a constituent institution of National University of Sciences and Technology (NUST), Islamabad, Pakistan.

After completing his M.Phil, he got Commission in Army Education Corps of Pakistan Army in 1992.  He has served on different instructional and staff appointments. He has also remained on the faculties of Federal College of Education H-9, Islamabad, Military College Jhelum, College of E & ME, Rawalpindi, Military College of Engineering, Risalpur and PMA, Kakul, Abbottabad. He has done most of his professional courses with distinction and has also been selected for Ph. D. by merit.

His research papers are published in international journals of high repute, namely, Mathematica Japonica, Communications in Algebra, Kobe Journal of Mathematics, Algebra Colloquium, European Journal of Combinatorics, Algebra, Group and Geometry, Advances in Algebra, Southeast Asian Bulletin of Mathematics, Quasigroups and Related Systems and Acta Mathematica Scientia.

He has the honour and privilege of representing Pakistan on international forum. He represented his research papers in international conferences held in Hong Kong, China, Sweden, Singapore, Spain and Egypt.

  • The Symmetric Groups as Quotients of G3,8,720, Math. Japonica, 37, 1(1992), 9-16. (co-authors Q.Mushtaq and T. Maqsood). MR 1148511.
  • Factor Groups of G5,5,120, Communications in Algebra, 20, 12(1992), 3759-3767 (co-authors Q.Mushtaq and T. Maqsood). MR 1191978.
  • The Quotients of G5,7,84, Math. Japonicae, 40, 2 (1994), 349-353 (co-authors Q.Mushtaq  and T. Maqsood). MR 1297253.
  • On the Group G4,5,276, Kobe Jour. Math., 12 (1995), 1-7 (co-author T. Maqsood and Q.Mushtaq). MR 1362219.
  • Alternating or Symmetric Groups as Quotients of G5,5,60, Algebra Colloquium, 4,3 (1996), 379-382 (co-author Q.Mushtaq). MR 1422976.
  • The Quotients of  ,   European Jour.  Combinatorics,   22, 7(2001),  905-909 (co-authors: M.Aslam, Q.Mushtaq, T.Maqsood). MR 1857253.
  • The Coxeter Group  ,   Communications in Algebra, 30, 5(2002), 2175-2182 (co-authors: Q.Mushtaq, T. Maqsood, and M.Aslam). MR 1904532.
  • Parametrization of   on    Advances in Algebra – Proc. of ICM Sattellite Coference in Algebra and Related Topics (2002), 264-270, (co-author Q.Mushtaq). MR 2088447.
  • Homomorphic Images of    as Subgroups of  , Algebras, Groups and Geometries, 20,4(2003), 485-500 (co-authors: M.Aslam, Q.Mushtaq, T.Maqsood). MR 2030402.
  • Real Quadratic Irrational Numbers and the Group  , Southeast Asian Bulletin of Mathematics, Springer-Verlag, 27: (2003), 409-415, (co-authors: M.Aslam, Q.Mushtaq, T.Maqsood). MR 2045552.
  • Finite Presentation of a Linear-Fractional Group, Algebra Colloquium,  (co-author Q. Mushtaq). MR 2183507
  • Action of a two Generator Group on a Real Quadratic Field, Southeast Asian Bulletin of Mathematics, 30: (2006), 399 – 404. MR 2243682
  • Action of a Subgroup of the Modular Group on an Imaginary Quadratic Field, Quasigroups and Related Systems, 14(2006), 133 - 146.
  • Action of a 2-generated group on  : The Parametrization Problem,  Algebras, Groups and Geometries, 24(2007), 187 - 202.Triangle Groups , The Egyptian mathematical Society, Cairo, vol.1(2007), 35 – 43.
  • Coset Diagrams for a Homomorphic image of  ,  Acta Mathematica Scientia, 28B(2008), 363 – 370.

    Paper Presented in International Journals

  • The Coxeter Group  G5,5,12, Quasigroups and Related Systems, 23 (2015), 175 – 180, (co-author T. Imran).
  • Defining relations of a group G3,4(2,Z)  and its action on real quadratic field, Bulletin of Iranian Mathematical Society, accepted.

  • Calculus
  • Multivariable Calculus
  • Linear Algebra
  • Differential Equations(ODEs & PDEs)
  • Complex Analysis
  • Number Theory
  • Numerical Analysis
  • Probability and Statistics
  • Discrete Mathematics
  • Transformations (Fourier, Laplace etc)
  • Engineering Mathematics