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program overview

Ph. D. in Mathematics

Ph. D. in Mathematics is offered by Amrita School of Arts ans Sciences at Kochi campus.

Ph. D. in Mathematics

The department’s full-time Ph.D. programme lasts for a minimum of three years. Every research programme at the university is created in accordance with UGC guidelines. For each Faculty, the university publishes a set of Ph.D. regulations. The researchers must conform to the publication standards and thesis submission guidelines, as well as the most recent university policy released in connection with the Ph.D. programme. Within 18 months of registering for the programme, each scholar is required to complete course work totaling up to 21 credits. The courses are provided in accordance with University standards and are specifically designed to meet the needs of the individual scholar’s doctoral study in terms of research. For each Ph.D. scholar to be qualified to continue with their doctorate study, these courses must be successfully completed with a minimum grade of B+. The scholar is needed to take a Comprehensive oral examination following the conclusion of the course work in order to demonstrate that they have done the background reading for the research project. The next step is the qualifying exam, which advances the candidate to the level of advanced candidacy. The scholar appears for the last open defence before the programme is completed after meeting all of the program’s requirements and receiving approval from the Examiners and Committee members. At the university, interdisciplinary research methods are also promoted.


Doctoral programs at Amrita Vishwa Vidyapeetham are designed to develop outstanding educational researchers with a wide range of research skills as well as in-depth knowledge and practical understanding and expertise in their chosen field of educational research.

Learning Steps for Ph.D.

Course Work (Ph.D.)

The number of course-work credits that a doctoral student undertakes is decided by the Doctoral Committee and depends upon the student’s background and intended Ph.D. research area.
Research Methodology and Foundation Course are compulsory courses for all streams.

In addition:

Students entering with an M.A., M.Com., M.F.A., and M.S.W. degree must complete a minimum of 12 credits.
All students have to complete a 3-credit Minor course, i.e., one that falls outside the student’s research area. This course could be from the same school as that of the student (but different department) or it could be from a different school. The credits for the Minor course are included in the above-mentioned course-work credits. When necessary, the Doctoral Committee may prescribe more course-work credits than the minimum number of credits stated above.

In addition to course-work, the doctoral student is expected to carry out creative and scholarly research leading up to the completion of a written Ph.D. Thesis. Doctoral research must result in original and substantial contributions to the chosen specialized field of study. This requires mastery of the literature in the specialized field, and critical thinking and judgment. The student should also relate the field of study to the broader discipline within which the research falls.
In recognition of the substantial nature of Ph.D. thesis work, it will carry 60 credits. Full-time doctoral students shall register for 10-15 credits per semester. Satisfactory progress in thesis work will result in an ‘O’ grade (for ongoing) and unsatisfactory progress will result in an ‘I’ grade (for incomplete), which is to be made up within one semester.

Satisfactory progress will be judged by the Doctoral Committee on the basis of semester wise progress reports submitted by the doctoral student and/or the completion of publishable papers.

Comprehensive Examination

All doctoral students must take a Comprehensive Examination after completion of all course-work. The Comprehensive Examination is an oral (in some Schools, a written-cum-oral) examination administered by the Doctoral Committee and examines the course work undergone by the candidate.


After completion of the Comprehensive Examination, every doctoral student is expected to publish one refereed paper a year. These papers should be in a Scopus indexed journal or conference proceedings.

Qualifying Examination and Thesis Proposal

All doctoral students must take a Qualifying Examination. The Qualifying Examination is an oral examination administered by a Qualifying Examination Committee consisting of the Doctoral Committee together with an external expert from a reputed academic or R&D institution in India. The Convener of the Doctoral Committee will be the Convener of the Qualifying Examination Committee.

Open Seminars

After advancement to candidacy, all doctoral candidates are required to present two research seminars. The two seminars should be at least six months apart, with the second seminar being held immediately before the submission of the Synopsis

Thesis Synopsis

Once the Thesis Advisor and Doctoral Committee are satisfied that the doctoral candidate has completed the required research for the award of the Ph.D. degree and the candidate has published (or has an acceptance of) a refereed Scopus indexed journal paper and has also given the second Open Seminar the candidate is required to submit a written Synopsis to the Doctoral Committee for approval. The Synopsis should include the motivation, significance and main objectives of the research, along with a brief literature survey and a detailed report on the thesis research.

Thesis Submission and Evaluation

The doctoral candidate should submit the Ph.D. Thesis to the Doctoral Committee normally within six weeks from the date of submission of the Synopsis.

Thesis Defense and Final Recommendation

On getting reports from examiners regarding the acceptance of thesis.

Progress Reports

Recommendation reports of the doctoral committee and open defense panel.

Award of the Ph.D. Degree
Placement Details

After successfully completing the programme, the students would be introduced to placements in a variety of industries, including educational institutions, MNCs like Cognizant, TCS, and Infosys, and other comparable companies. They are qualified to work as Scientists and Research Associates in well-known companies like ISRO, DRDO, and CSIR because of their strong potential in teaching and research. Graduates have been hired by companies like Tata Consultancy Services, PwC India, Indian Public School, TCS, Cognizant, ZifoRnD, and SPI Global, among others.

Career Prospects

The curriculum strives to shape the students into competent math educators and researchers. The curriculum and syllabus are created so that students will have a direction for taking competitive exams and aspiring to further education. Our students receive additional preparation from MATHLAB, Cochin for the CSIR NET/JRF qualifying exams.

Project Activities

The programme includes opportunities and trainings that help students become capable of handling the challenges of the workplace and becoming ready for various competitive exams. A Memorandum of Understanding (MoU) has been signed with MATHLAB, Cochin, an exclusive coaching facility for the CSIR-UGC NET (JRF) in Mathematical Sciences, to provide students with intensive and ongoing coaching that will help them pass the NET/ JRF Exams and become eligible for advanced study and assistant professorship.

To stay current with the newest developments in mathematics, the Department sponsors national and international conferences, seminars, workshops, and guest lectures. The department’s innovative programme called Vidayamritam features lectures from outside-the-campus professionals in a variety of subjects. Students gain a more comprehensive understanding of current trends in mathematics and related fields. In order to inspire the students, the department runs a Pragati research club that puts on events like workshops and Meet-The-Experts.

Important Note

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