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Computational Analysis on Pure and Applied Mathematics

Introduction​​

Mathematics plays a vital role in all sciences. The computational analysis on Pure and Applied Mathematics Research Group in Department of Humanities & Basic Sciences at Military College of Signals, NUST focuses research activities in three diversified areas of Pure & Applied Mathematics namely Algebraic Number Theory, Group Actions and Fluid Dynamics.

In Algebraic Number Theory the focus of research group is to compute integral basis of Integral Domains to determine monogenity of quartic and higher dimensional algebraic number fields and work for their applications in canonical number systems, cryptography,  coding theory and network security. Theory of finite fields, irreducible polynomials and theory of primes in higher dimensional fields are also focused for their established application in Cryptography and Network Security. 

In Theory of Group Actions / Theory of Group Graphs we use graphical techniques, called coset diagrams, to investigate properties of certain linear groups acting on the projective lines over finite fields, sets, real and imaginary quadratic fields. We use these techniques to investigate local-global relationship between real quadratic irrational numbers and the elements of the group. 

The research is also focused on the mathematical modeling in fluid dynamics, peristaltic transport of Newtonian and Non-Newtonian fluids under various geometries, assumptions and boundary conditions, Magneto hydrodynamics, heat and mass transfer effects, nanofluid in Newtonian and Non-Newtonian fluids, Complaint wall problems in Newtonian and Non-Newtonian fluids.​

Research Areas​

  • Monogenity of Algebraic Number Fields.
  • Group Generalization / Theory of Group Actions / Theory of Group Graphs​.
  • Mathematical Modeling in Fluid Dynamics​.
  • Group Members

    ​S.No. ​Name ​Qualification ​Specialization ​Contact Detail
    1.​ ​Dr. Abdul Hameed (Group Head) ​Ph.D ​Monogenity of Algebraic Number Fields and its Applications T​el Office: 051-9271505
    Mobile: 0301-8162543​
    E-mail: hameed.lamp@mcs.edu.pk
    ​2. ​Dr. Muhammad Ashiq ​​Ph.D ​Group Generalization / Theory of Group Actions / Theory of Group Graphs ​Tel Office: 051-9271504
    Mobile: 0334-5067134
    E-mail: m.ashiq@mcs.edu.pk​
    ​3. ​Dr. Safia Akram ​Ph.D ​Fluid Mechanics ​Tel Office: 051-9271504
    Mobile: 00300-9825620
    E-mail: drsafiaakram@mcs.edu.pk
      

    Objectives / Targets​

  • Improve quality as well as quantity of research to have indirect impact on university raking.​
  • Improve reaching out to Govt/Semi Govt depts to fully exploit opportunities of research grants.
  • Collaborate with Engg Depts/Institutions of MCS/NUST so that mathematical subjects relevant to engg needs are identified and given preference.
  • Identify shortcomings and hurdles due to internal working and problems faced therein and suggest measures to improve research productivity.
  • Start PG program in Mathematics under H&BS Dept of MCS.
  • Increase the visibility of Mathematics education/research in the NUST in general and in MCS in particular.
  • Bring together and explore issues in Mathematics that are of scientific interest.
  • Research Facilities:​

    Computer Labs, Seminar Halls, Library, HEC Digital Library​.

    Research Projects

    Integrated security System (conducted at UG level)​

    Collaborations

    ​S.No. ​Description
    ​1. ​National University of Computer and Emerging Sciences, Lahore Campus, Pakistan
    ​2. ​Department of Mathematics, Quaid​​​​-i-Azam University Islamabad, Pakistan
    ​3. ​School of Natural Sciences, National University of Sciences and Technology, Islamabad
    ​4. ​University of Peshawar, KPK, Pakistan

     Contact of Focal Person​

    Dr.  Safia Akram
    Mobile: 00300-9825620
    E-mail: drsafiaakram@mcs.edu.pk