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Programmes

The Department of Mathematics & Statistics, since its inception, is committed to excellence of instruction and scholarship. As an integral part of IISER Kolkata, it is devoted to the objective of integrating education with research so as to disseminate research-based knowledge and to provide maximal research opportunities at all levels of the curriculum. In a department where a faculty member is more a facilitator of the learning process than just an instructor, each student is given individual attention along with an exposure to research activity at a level found only in the elite institutes of highest order. While Mathematics can be studied and pursued for its own sake, the department acknowledges the ever-increasing role of Mathematics in the advancement of various disciplines.
Recognizing this instrumental role of Mathematics across disciplines, the department offers a diverse bouquet of courses comparable in content to what is offered in departments with much larger infrastructure. Courses offered range from introductory topics to the frontiers of current research.
At present, the Department of Mathematics & Statistics offers three academic programmes.

BS-MS Programme

This is a five-year programme where students are admitted through an annual selection after the completion of high school. An MS degree is obtained on successful completion of the programme. In the first year, there are courses on all five basic sciences i.e. Biology, Chemistry, Earth Sciences, Mathematics and Physics following which three pre-major subjects are selected out of the aforementioned five in the second year. The major subject is chosen out of the pre-majors at the third year. The programme requires a project to be executed at the fifth year for its completion. At present, there are thirteen BS-MS students in the Department of Mathematics & Statistics. The following mathematics courses are offered in the BS- MS programme.

1st Semester

Mathematics-I

2nd Semester

Mathematics-II

3rd Semester

Analysis-I
Linear Algebra
Foundations-I

4th Semester

Analysis-II
Probability & Statistics
Foundations-II

5th Semester

Analysis-III
Algebra-I
Graph Theory & Combinatorics
Elementary Number Theory
Computer Laboratory: C & Data Structures

6th Semester

Topology
Geometry of Curves & Surfaces
Algebra-II
Analysis-IV
Advanced Data Structures & Algorithms

7th Semester

Complex Analysis
Functional Analysis
Algebra-III
Mathematical Statistics
Numerical Analysis
Seminar Course

8th Semester

Fourier Analysis
Algebraic Topology
Differential Geometry
Ordinary Differential Equations
Computer Laboratory
Statistics Laboratory
Seminar Course

9th Semester

Partial Differential Equations
Elective I
Elective II
MS Project

10th Semester

Elective
MS Project

Integrated PhD Programme

This is primarily a research programme geared towards students who have completed a bachelor’s
degree in Mathematics, and who are strongly motivated to pursue a career in research. The programme
consists of coursework and a project during the initial years upon completion of which a student
continues as a PhD candidate. Presently, the department has four Integrated PhD students. The
following courses are offered in the Integrated PhD programme.

1st Semester:

Analysis-III
Algebra-I
Graph Theory & Combinatorics
Elementary Number Theory
Mathematical Statistics
Seminar Course I
Seminar Course II

2nd Semester:

Topology
Algebra-II
Analysis-IV
Ordinary Differential Equations
Differential Geometry
Seminar Course I
Seminar Course I

3rd Semester:

Complex Analysis
Functional Analysis
Algebra-III
Elective/Seminar Course
MS Project

4th Semester:

Algebraic Topology
Elective I
Elective II
MS Project

PhD Programme

This is the regular PhD programme where students are admitted after the completion of masters degree. The programme consists of coursework in the first year following which research work is carried out under the supervision of a faculty member of the department. There is an option of joint-supervision as well in this programme. The Department of Mathematics & Statistics at IISER Kolkata has an active, lively and growing group of researchers in various areas of Mathematics and Statistics. In Mathematics and Statistics, the areas of research are Algebraic Geometry, Algebraic Topology, Bayesian Modelling, Biological Networks, Calculus of Variations, Commutative Algebra, Computational Neuroscience, Fluid Mechanics, Functional Analysis, Graph Theory, Nonlinear Analysis, Nonlinear Dynamics, Theory of Outliers, Operator Theory, Partial Differential Equations, Reliability Theory, and Statistical Pattern Recognition. The department has six PhD students at present.

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