Ph.D. PROGRAMME IN MATHEMATICS offers an exciting and unique opportunity to students for pursuing research in the following areas:
Under this programme students undergo a substantial amount of relevant course work consisting of advance topics in Aglebra, Analysis, Topology, Numerical Analysis, Solid & Fluid Mechanics and Statistics, followed by research work under the supervision of an Advisor, who is decided by the Department, taking into account the aptitude, the needs and the preferences of the student.
The Department of Mathematics is well recognised for teaching and research. It has a large faculty with research interests covering a wide range of fields:
Collabortive research with other Science and Engineering Departments of the Institute is encouraged. Faculty members undertake projects sponsored by organizations such as National Board for Higher Mathematics, Indian National Science Academy, Board of Research in Nuclear Science, Council of Scientific & Industrial Research, Department of Science and Technology, Department of Bio-Technology and Indian Council of Medical Research etc. A strong group of Industrial Mathematics has evolved in the Department for providing Industry-Academic linkage.
The graduates of this Department have been placed in various academic institutions - IITs, IISc and several universities in India and abroad. The Training and Placement Office of the Institute arranges Campus Interviews for the students with prospective employer in Industry and R & D Organisations with strong inputs from the Department. In recent years our students have been hired by prestigious organisations like TCS, ISRO, Infotech, TRDDC, CDAC, ORG etc.
The Institute offers Teaching Assistantships requiring eight hours of work per week. Students can also be supported by scholarships / fellowships of other organizations such as National Board for Higher Mathematics, Council of Scientific & Industrial Research, University Grants Commission, Department of Science & Technology. For the current round of admissions, RA category seats are not available. Admissions take pace twice a year in June and in December. The candidates should have obtained first class at the Masters degree in Mathematics/Statistics/Computer Science and must have a valid GATE score or an award of NBHM/CSIR/UGC Research Fellowship.
Syllabus for qualifying examinations can be found here.
The following courses are likely to be offered in each of the corresponding semesters.
Course Code | Name of the Course | L | T | P | C |
---|---|---|---|---|---|
MA 811 | Algebra I | 3 | 0 | 0 | 6 |
MA 813 | Measure Theory | 3 | 0 | 0 | 6 |
MA 815 | Differential Topology | 3 | 0 | 0 | 6 |
MA 817 | Partial Differential Equations I | 3 | 0 | 0 | 6 |
MA 833 | Weak Convergence and Martingale Theory | 3 | 0 | 0 | 6 |
MA 861 | Combinatorics-I | 3 | 0 | 0 | 6 |
MA 863 | Theoretical Statistics I | 3 | 0 | 0 | 6 |
Course Code | Name of the Course | L | T | P | C |
---|---|---|---|---|---|
MA 812 | Algebra II | 3 | 0 | 0 | 6 |
MA 814 | Complex Analysis | 3 | 0 | 0 | 6 |
MA 816 | Algebraic Topology | 3 | 0 | 0 | 6 |
MA 818 | Partial Differential Equations II | 3 | 0 | 0 | 6 |
MA 820 | Stochastic Processes | 3 | 0 | 0 | 6 |
MA 823 | Probability I | 3 | 0 | 0 | 6 |
MA 824 | Functional Analysis | 3 | 0 | 0 | 6 |
MA 862 | Combinatorics-II | 3 | 0 | 0 | 6 |
MA 867 | Statistical Modelling- I | 3 | 0 | 0 | 6 |
1. The credit requirements for students having M.Sc. or equivalent qualification shall be 34 to 46 credits.
2. Credits acquired through Ph.D courses shall be 24 or more.
3. Students may earn upto a maximum of 8 credits through seminars which should be spread over two semesters.
4. Each student must credit at least 3 of the above listed first year Ph.D courses excluding MA 839.
PhD students are also required to take two courses on communication skills, viz, HS791 (Communication Skills I) offered by the HSS department and MA792 (Communication Skills II) offered by the Mathematics department
a) These courses are compulsory for all Ph.D. students.
b) Ph.D. students are normally required to clear the Communication skills course within the first two semesters.
c) These courses are an addition to the minimum course credit requirement prescribed by the DPGCs/IDPCs.
d) Students having a qualifying degree from IIT who have cleared the ‘Communication Skills’ course during their M.Tech. Programme are exempted from this requirement.
In addition to the above courses, some or all of the following courses may be offered subject to sufficient demand from the students and availability of faculty.
Course Code | Name of the Course | L | T | P | C |
---|---|---|---|---|---|
MA 839 | Advanced Commutative Algebra | 3 | 0 | 0 | 6 |
MA 841 | Topics in Algebra I | 3 | 0 | 0 | 6 |
MA 843 | Topics in Analysis I | 3 | 0 | 0 | 6 |
MA 845 | Topics in Combinatorics I | 3 | 0 | 0 | 6 |
MA 847 | Topics in Geometry I | 3 | 0 | 0 | 6 |
MA 849 | Topics in Topology I | 3 | 0 | 0 | 6 |
MA 851 | Topics in Number Theory I | 3 | 0 | 0 | 6 |
MA 853 | Topics in Differential Equations I | 3 | 0 | 0 | 6 |
MA 855 | Topics in Numerical Analysis I | 3 | 0 | 0 | 6 |
MA 857 | Topics in Probability I | 3 | 0 | 0 | 6 |
MA 859 | Topics in Statistics I | 3 | 0 | 0 | 6 |
MA 864 | Topics in Category Theory I | 3 | 0 | 0 | 6 |
MAS 801 | Seminar | 0 | 0 | 0 | 4 |
Course Code | Name of the Course | L | T | P | C |
---|---|---|---|---|---|
MA 842 | Topics in Algebra II | 3 | 0 | 0 | 6 |
MA 844 | Topics in Analysis II | 3 | 0 | 0 | 6 |
MA 846 | Topics in Combinatorics II | 3 | 0 | 0 | 6 |
MA 848 | Topics in Geometry II | 3 | 0 | 0 | 6 |
MA 850 | Topics in Topology II | 3 | 0 | 0 | 6 |
MA 852 | Topics in Number Theory II | 3 | 0 | 0 | 6 |
MA 854 | Topics in Differential Equations II | 3 | 0 | 0 | 6 |
MA 856 | Topics in Numerical Analysis II | 3 | 0 | 0 | 6 |
MA 858 | Topics in Probability II | 3 | 0 | 0 | 6 |
MA 860 | Topics in Statistics II | 3 | 0 | 0 | 6 |
MA 865 | Topics in Category Theory II | 3 | 0 | 0 | 6 |
MAS 802 | Seminar | 0 | 0 | 0 | 4 |
Note: Each course is of 6 credits with the structure of 3-0-0-6. A prerequisite for an even numbered course is exposure to the preceding odd numbered course, except in the case of MA 824 for which exposure to MA 819 shall be the prerequisite.