PhD Mathematics

PhD in Mathematics aims to create individuals with thoroughly polished skills of using mathematics as a compact language to describe problems in any area requiring, which able them theoretically to expand the frontiers to create new and formerly unknown avenues in this discipline. 

(DRC is short for Departmental Research Committee)  


Eligibility:

A candidate may embark on his PhD in Mathematics program at IBA if the applicant has earned an MS (in Mathematics) from a foreign / local university of international repute, and in addition to it:

a) Clears IBA's entry test, or scores 60 percentile in GRE Subjective (Mathematics).
b) Goes through a successful interview at IBA.


Duration:

PhD: 4 – 6 years. (Max. possible is 8 years)


Other Rules:

All eligible candidates would be required to:
a) A PhD student has to spend at least first two years of degree’s duration in IBA as a full-time PhD scholar.
b) A full-time PhD scholar would be required to teach under-graduate courses as per IBA policy.
c) A full-time PhD scholar shall be paid a stipend as per IBA policy.
d) PhD students will be required do to six courses (chosen from the list below) at 600 level as suggested by the research supervisor and/or the DRC.


Courses:

The Departmental Research Committee is authorized to introduce any new courses added to the following list as and when required:

MTS 621 Numerical Treatment of P.D.E
MTS 625 Financial Mathematics
MTS 629 Computational Finance
MTS 637 Computational Astronomy
MTS 645 Applicable Modern Geometry II
MTS 649 Algebraic Geometry II
MTS 653 Algebraic Cycles II
MTS 657 Polylogarithms
MTS 661 Multivariate Statistical Analysis
MTS 665 Mathematical Physics II
MTS 671 Monomial Algebra
MTS 662 Analysis on Manifolds
MTS 655 Algebraic Curves
MTS 691 Topics of Special Interest I
MTS 692 Topics of Special Interest II

On successful completion of the course work with CGPA of at least 3.0, the candidate qualifies to work on PhD dissertation. Failing to achieve this qualification the candidate would be allowed to improve his/her CGPA by doing two of his courses again. In view of candidates request and recommendation of DRC the candidate may do any other two courses to improve the CGPA to the required level.


Comprehensive Test:

The DRC will decide whether a Comprehensive Examination is required or not.


Disqualification:

If the candidate fails to qualify for work on PhD dissertation he/she may be awarded an MS degree on the recommendation of the supervisor/DRC.


Graduation Eligibility:

A candidate who accomplishes all the conditions imposed for acquisition of the PhD degree, is also, in addition, required to take the GRE /GAT (subjective) before finally doctoral diploma may be obtained.


Defense of Research Synopsis / Thesis:

The research synopsis would have to be defended against the DRC. Public defense of the PhD thesis and completion of the degree will commence after examination of the thesis by two external examiners foreign to Pakistan.