Dr. Muhammad Ashiq

PERSONALS
Name:	Dr. Muhammad Ashiq
Designation:	Associate Professor
Department:	Department of Humanities & Basic Sciences
Phone (off.):	051 - 561 - 5233302
Mobile:	0334 - 5067134
Email:	m.ashiq@mcs.edu.pk, ashiqjaved@yahoo.co.uk
Fax:
HEC Approved Supervisor:	Yes
Detailed CV
INTRODUCTION
Did M. Sc, M. Phil and Ph.D in Mathematics from Quaid-i-Azam University, Islamabad. The topic of my Ph.D. research is "Parametrization of Certain Group Actions". The aim of the research is to study actions of the group generated by the linear fractional-transformations on the projective lines over finite fields, sets, and real and imaginary quadratic fields.

Courses/Teaching
Number Theory Engineering Mathematics LA & ODE Complex and Fourier Analysis Discrete Mathematics Vector Calculus & Partial Differential Equations Vector Algebra & Calculus Vector Caculus Calculus - I Calculus - II Linear Algebra Numerical Analysis Probability and Statistics Differential Equations Complex Analysis
Research & Development
Research Interests Linear Groups Theory of group Graphs Permutation Groups
Completed Projects

Current Projects

Future Projects

Publications
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 G^* (2,Z) on PL(F_q), 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 delta(2, 3,9) as Subgroups of PGL(2,q), 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 Projective line, The Parametrization Problem, Algebras, Groups and Geometries, 24(2007), 187 - 202. Triangle Groups , The Journal of the Egyptian mathematical Society, vol.1(2007), 35 – 43. Coset Diagrams for a Homomorphic image of delta(3,3,k), Acta Mathematica Scientia, 28B(2008), 363 – 370.
Professional Memberships & Affiliations
Information secretary of Pakistan Mathematical Society
Contact Info
Email: m.ashiq[at]mcs.edu.pk, ashiqjaved[at]yahoo.co.uk Telephone (Off): 051 - 561 - 5233302 Telephone (Res): 051 - 561 - 5233302 Mobile #: 0334 - 5067134

Research Interests