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Program Details

Ph.D. (in areas of Mathematics, Computer Science, Probability and Statistics)

The aim of the PhD programme is to produce students with high quality research capability and independent thinking in various areas of Mathematics, Statistics and Computer Science.

Computer Science
  • Algorithms
  • Approximation Algorithms
  • Computational Geometry
  • Distributed Computing
  • Formal Languages and Automata Theory
  • Theoretical Computer Science
  • Wireless Networks
  • Wireless Sensor Networks

 

 

 

 

 
   
Mathematics
  • Algebraic Combinatorics
  • Algebraic Geometry
  • Combinatorial Matrix Theory
  • Combinatories
  • Complex Dynamics and Fractals
  • Computational Fluid Dynamics
  • Flow through porous media
  • Functional Analysis
  • General Algebra
  • Graph Theory
  • Harmonic Analysis
  • Hydrodynamic Loading
  • Hyperbolic 3-manifolds
  • Low Dimensional Topology
  • Mathematical Biology
  • Matrices & Graphs
  • Number Theory
  • Numerical Analysis
  • Numerical Functional Analysis
  • Numerical Homogenization
  • Numerical Linear Algebra
  • Numerical Methods for PDEs
  • Numerical solution to Differential Equations
  • Optimal Control Theory
  • Optimization Techniques
  • River mechanics
  • Sloshing dynamics
  • Special Functions
  • Spectral Graph Theory
  • Two-phase Flows
  • Water Wave Mechanics
Statistics
  • Distributions models and its applications
  • Financial Mathematics
  • Operations Research
  • Queueing Theory
  • Stochastic Modelling
  • Biostatistics
  • Machine Learning
  • Clinical Trials
  • Spatiotemporal Forecasting
  • Synthetic Data (Generative AI)
  • Public Health
  • Personalized Medicine
  

Ph.D Batch |

Ph.D Batch

Code Course Name L–T-P Credits
MA615 Programming and Data Structures 3-0-2 8
MA617/MA6004 Design and Analysis of Algorithms 3-0-0 6
MA618/MA6005 Mathematics for Computer Science 3-0-0 6
MA619/MA6006 Data Structures Lab 0-2-2 6
MA625/MA6002 Linear Algebra - 1 3-1-0 8
MA642/MA6001 Real Analysis - 1 3-1-0 8
MA662/MA6003 Differential Equations 3-1-0 8
MA683/MA5051 Probability Theory 3-1-0 8
MA684/MA6052 Advanced Probability 3-0-0 6
MA689/MA6053 Applied Statistics 3-0-0 6
MA719/MA7026 Linear Algebra - II 4-0-0 8
MA721 Introduction to Analytic Number Theory and Algebraic Number Fields 4-0-0 8
MA722/MA7021 Topological Groups and Advanced Algebra 4-0-0 8
MA723 Permutation Groups and Group Actions 4-0-0 8
MA724/MA7022 Combinatorial Group Theory 4-0-0 8
MA725/MA7023 Non-Negative Matrix Theory 4-0-0 8
MA726/MA7024 Number Theory 4-0-0 8
MA727 Modern Algebra and Number Theory 4-0-0 8
MA728/MA7025 Universal Algebra 4-0-0 8
MA731/MA7027 Functional Analysis 4-0-0 8
MA732/MA7028 Spectral perturbation theory for bounded linear operators 4-0-0 8
MA733/MA7029 Spectral perturbation theory for matrices and matrix pencils 4-0-0 8
MA741/MA6044 Complex Analysis-I 4-0-0 8
MA742/MA7031 Iteration Theory 4-0-0 8
MA745/MA7040 Theory of Distribution and Sobolev Spaces 4-0-0 8
MA746/MA7032 Fourier Analysis 4-0-0 8
MA747/MA7033 Measure Theory 4-0-0 8
MA748/MA7030 Advanced Complex Analysis 4-0-0 8
MA751/MA7034 Differential Equations and Boundary-Value Problems 4-0-0 8
MA752/MA7039 Theory of Partial Differential Equations 4-0-0 8
MA753/MA7035 Perturbation Techniques 4-0-0 8
MA754/MA7036 Homogenization 4-0-0 8
MA761/MA7042 Advanced Fluid Dynamics 4-0-0 8
MA763 Introduction to Environmental Diffusion 4-0-0 8
MA765 Wave Structure Interaction 4-0-0 8
MA771/MA7037 Advanced Numerical Analysis 4-0-0 8
MA773/MA7041 Finite Element Methods 4-0-0 8
MA781/MA7051 Statistical Methodologies for Modern Clinical Studies 3-0-0 6
MA782 Lévy Processes 4-0-0 8
MA793 DATA STRUCTURES AND ALGORITHMS 3-0-2 8
Total Credit  


* Courses for Any Semester [If a course in this column is offered in Odd Semseter, then it will not be offered in even semester for the same academic year]

Odd Semester

Sl.No Code Course Name
1 MA502/MA5021 Graph Theory
2 MA503/MA5071 Network Flows Algorithms
3 MA505 Algebraic Coding Theory
4 MA509/MA5023 ALGEBRAIC NUMBER THEORY
5 MA517 FUNCTIONAL AND LOGIC PROGRAMMING
6 MA518/MA5074 Database Management Systems
7 MA563/MA5031 Calculus of Variations and Optimal Control
8 MA575/MA5034 Mathematical Methods
9 MA593/MA5052 Statistical Methods and Time Series Analysis
10 MA614/MA6023 Applications of Computational Geometry
11 MA626/MA6032 Representation Theory of Finite and Compact Groups
12 MA661/MA6040 Integral Transforms and Integral Equations

Even Semester

Sl.No Code Course Name
1 MA516/MA5073 Semantics of Programming Languages
2 MA519/MA5075 Complexity Theory
3 MA562/MA5030 Mathematical Modelling and Numerical Simulation
4 MA571/MA4226 Numerical Linear Algebra
5 MA573/MA4227 Numerics of Partial Differential Equations
6 MA594 Statistical Decision Theory
7 MA598/MA5063 MATHEMATICS OF FINANCIAL DERIVATIVES
8 MA601/MA6021 Graphs and Matrices
9 MA621/MA6028 Rings and Modules
10 MA622/MA6029 Galois Theory
11 MA623/MA6024 Introduction to Algebraic Geometry
12 MA624/MA6030 Introduction to Lie Algebras
13 MA641/MA6033 Operator Theory in Hilbert Spaces
14 MA645/MA6034 Introduction to C*- Algebras
15 MA646/MA6035 Advanced Operator Theory
16 MA648/MA6037 Operator Theory on Hardy Spaces
17 MA663/MA6041 Fractional Calculus and Fractional Differential Equations
18 MA664/MA6042 Theory and Applications of Sobolev Spaces
19 MA671/MA6043 Finite Element Methods for Partial Differential Equations
20 MA685/MA6055 Martingales and Brownian Motion
21 MA687/MA6062 Generalized Linear Models

Any Semester

Sl.No Code Course Name
1 MA4022 Numerial Optimization
2 MA422/MA4024 Matrix Analysis and Applications
3 MA472/MA4063 Insurance Statistics
4 MA474/MA4061 Financial Management and Corporate Finance
5 MA475/MA4062 Financial Derivatives and Risk Management
6 MA5028 Fourier Analysis
7 MA510/MA5024 Combinatorics (Renamed as Algebraic Combinatorics)
8 MA513/MA5072 Parallel Computing
9 MA544/MA5025 Wavelets and Applications
10 MA545/MA5026 Complex Dynamics and Fractals
11 MA546/MA5027 Differential Algebraic Equations
12 MA561/MA5029 Fluid Dynamics
13 MA564/MA4023 Fractals and Chaos
14 MA565/MA5032 Mathematical Biology
15 MA566/MA5033 Mathematics in sustainable development
16 MA576/MA5035 Large Scale Scientific Computation
17 MA577/MA5036 Perturbation Methods
18 MA578/MA6039 Computational Fluid Dynamics
19 MA592/MA5061 Mathematical Finance
20 MA595/MA5054 Stochastic Programming and Applications
21 MA596/MA5062 Stochastic Calculus for Finance
22 MA597/MA5055 QUEUEING THEORY AND APPLICATIONS
23 MA611/MA6022 Differential Geometry of Curves and Surfaces
24 MA612/MA5076 Logic Programming
25 MA613/MA5077 Software Defined Networking
26 MA616/MA6071 Algorithms for Wireless Ad Hoc and Sensor Networks
27 MA627/MA6031 Modular Forms
28 MA639/MA6045 Complex Analysis - II
29 MA640/MA6025 Topology and Calculus of Surfaces
30 MA643/MA6026 Algebraic Topology
31 MA644/MA6027 Differential Topology
32 MA647/MA6036 Riemann Surfaces
33 MA649/MA6046 Harmonic Analysis on Euclidean Spaces
34 MA650/MA6038 Advanced course on Hardy spaces
35 MA651/MA6072 Distributed Algorithms
36 MA652/MA6073 Approximation Algorithms
37 MA653/MA5078 Network Science
38 MA654/MA6074 Advanced Data Structures and Algorithms
39 MA665/MA6054 Stochastic Models in Biology
40 MA667/MA6063 Actuarial Mathematics
41 MA668/MA6061 Algorithmic and High-Frequency Trading
42 MA681/MA6051 Applied Stochastic Processes
43 MA682/MA5053 Statistical Inference
44 MA684/MA6052 Advanced Probability
45 MA686 Random Graphs
46 MA688 Stochastic Calculus
47 MA689/MA6053 Applied Statistics
48 MA690/MA6056 Understanding Statistical Learning Theory
49 MA691/MA6057 Advanced Statistical Algorithms
50 MA691/MA6058 Statistical Simulation and data Analysis
51 MA719/MA7026 Linear Algebra - II
52 MA726/MA7024 Number Theory
53 MA781/MA7051 Statistical Methodologies for Modern Clinical Studies