PhD Mathematics

A ⁺ A A ^- A A
Login

Seats 4

Duration 3 Years

Eligibility

Candidates seeking admission in MPhil or PhD programme must have completed MA/MSc from a recognised University/Institute in Mathematics or a related subject with 55% marks or an equivalent grade.

Scholars enrolling in MPhil will have to submit a dissertation for examination within 2 years from date of enrolment. Synopsis presentation is expected to take place within 6 months of completion of coursework prior to thesis Submission. An MPhil student is also expected to present a paper/ research work at a conference as part of pre-submission requirement of their dissertation. The minimum period for completion of PhD, including coursework period is three years, and maximum is 5 years. More details regarding rules governing MPhil and PhD programmes at AUD are available in the Research Studies Regulation. The supervisor and the RAC will monitor five milestones during the PhD process: ◊Successful completion of coursework: normally within 12 months of enrolment. ◊Presentation and defence of research synopsis: before 5 semesters are completed after enrolment. ◊Publication of a paper based on research work done for thesis: before submission of thesis. ◊Pre-dissertation public viva: to be arranged by the SLS RSC. ◊ PhD defence in presence of AUD supervisor, co‐supervisor (if any), thesis examiners, and any other experts invited as per research studies regulations of AUD.

Applications are invited for MPhil and PhD Programmes in Mathematics. Supervision will be available in Algebra, Analysis, Differential Equations and Mathematical Modelling.

A Supervisor from the Mathematics Faculty of SLS shall be assigned to each MPhil and PhD Scholar. A Research Advisory Committee (RAC) would be constituted for each MPhil and PhD scholar.

The RAC will meet regularly to monitor the research scholar’s progress during the programme and will also make recommendations as required to ensure that the scholar completes all requirements of course work. A 6-monthly progress report has to be submitted by supervisor in consultation with RAC.

Co‐supervisory arrangements are possible with experts and scholars outside the School or even outside AUD on the conditions that they have recognised academic credentials, and the Research Studies Committee (RSC) of the School should be convinced that the involvement of this person would significantly enhance the quality of the scholar’s research.

All research programmes are geared to promote research and train students with objective to be a good researcher. The outcome of all these programmes is to create a cadre of good scholars.

Candidates admitted in the MPhil and PhD programmes are required to complete 16 credits of course work during a period of two semesters.

A PhD scholar having an MPhil degree may be exempted from course work if the Scholar’s RAC makes such a recommendation and the same is accepted by the RSC of the School. In the first semester, 8 credits of core courses in Algebra and Analysis will be offered. In the second semester the research scholar will be expected to complete two elective courses from those offered, worth 3 credits each and a Research Methodology course for 2 credits.

Participation in course work presumes a scholar’s residence in Delhi region during the officially recognised academic year/ sessions and the scholar’s regular attendance of classes and related exercises.

Exceptions to the ‘residency requirement’ could be for scholars who are prescribed course work or ‘pre‐thesis’ learning activities of a kind which cannot be fulfilled at AUD or which the RSC specifically prescribes to be done in some other place/under special conditions.

Other courses and pre‐submission activities could be prescribed to a research scholar by the RSC, according to the scholar’s particular research requirements.

Course Code	Course Name	Credit
SLS3MA034	Group Rings	3
SLS3MA035	Lie Algebra	3
SLS3MA031	Advanced Group Theory	3
SLS3MA038	Numerical Analysis	3
SLS3MA032	Fractional Differential Equations	3
SLS3MA041	Approximation Theory	3
SLS3MA001	Algebraic Number Theory	2
SLS3MA003	Differential and Integral Equations	2
SLS3MA007	Group Theory	2
SLS3MA005	Fractional Calculus	2
SLS3MA012	Discrete Functional Analysis	2
SLS3MA009	Module Theory	2
SLS3MA029	Research Methodology	2