
Program - Mathematics
This course offers a comprehensive and rigorous study in advanced mathematical theories and their applications. With a focus on both theoretical foundations and practical research, scholars engage in cutting-edge exploration across various domains such as algebra, analysis, geometry and applied mathematics. Under the guidance of esteemed faculty members, candidates delve into specialized areas of interest, contributing to the advancement of mathematical knowledge. The program fosters a collaborative and interdisciplinary environment, encouraging scholarly exchange and innovation. Graduates emerge equipped with the analytical prowess and research acumen to excel in academia, industry, and beyond, making significant contributions to the field of mathematics.
Faculty Members
- Amritapuri
- Amaravati
- Bengaluru
- Coimbatore
- Kochi

Dr. Srinivasarao Thota
Chairperson | Associate Professor

Dr. V. M. K. Prasad Goura
Assistant Professor (Sl. Gd.)

Dr. Rashmi Prasad
Assistant Professor

Dr. Rajan Sundaravaradan
Chairperson | Associate Professor

Dr. Sreeja V. K.
Professor

Dr. Manju B. R.
Associate Professor

Dr. Pramod P. Nair
Assistant Professor

Dr. Manjusha R.
Assistant Professor

Dr Pavithra Celeste R
Assistant Professor

Dr. Sreedeep C. D.
Assistant Professor

Dr. A .V. Prajeesh
Assistant Professor

Dr. S. Pitchai Murugan
Assistant Professor

Dr. B. Venkatesh
Chairperson | Professor

Dr. K. V. Nagaraja
Professor | Research Head

Dr. K. N. Meera
Associate Professor

Dr. Neetu Srivastava
Associate Professor

Dr. V. Kesavulu Naidu
Associate Professor

Dr. Sarada Jayan
Head of Department | Associate Professor

Dr. K. Murali
Assistant Professor

Dr. Geetha K. N.
Assistant Professor

Dr. T. V. Smitha
Assistant Professor (Sl. Gd.)

Dr. Mullai Venthan Selvam
Assistant Professor

Dr. J. U. Viharika
Assistant Professor

Dr. Naveen Kumar R
Assistant Professor

Dr. Somasundaram K.
Chairperson | Professor

Dr. Ravichandran J.
Professor

Dr. Shailendhra K.
Professor

Dr. Palanisamy T.
Professor

Dr. Deepa Gopakumar O. S.
Vice Chairperson | Associate Professor

Dr. Radha Iyer R.
Associate Professor

Dr. Vinodkumar A.
Associate Professor

Dr. Murali Krishna P.
Assistant Professor (Sl. Gd.)

Dr. Puvaneshwari P.
Assistant Professor (Sl. Gd.)

Dr. Gayathri K.
Assistant Professor

Praveen I.
Assistant Professor (Sl. Gd.)

Dr. Paramanathan P.
Assistant Professor (Sr. Gd.)

Dr. Kiruthika S.
Assistant Professor (Sr. Gd.)

Dr. Biswambhar Rakshit
Assistant Professor (Sl. Gd.)

Dr. J. Geetha
Assistant Professor (Sr. Gd.)

Dr. V. Pragadeeswarar
Assistant Professor (Sl. Gd.)

Dr. A. Ramesh Babu
Assistant Professor (Sr. Gd.)

Dr. K. S. Sreeranjini
Assistant Professor (Sr. Gd.)

Dr. J. Mahalakshmi
Assistant Professor (Sr. Gd.)

Dr. P. Tamilalagan
Assistant Professor

Dr. Prakash P
Assistant Professor

Dr. S. Santhakumar
Assistant Professor

Dr. Sumathi I. R.
Assistant Professor

Dr. Rajitha C. S.
Assistant Professor

Dr. G. Poonguzali
Assistant Professor

Dr. Lolugu Govindarao
Assistant Professor

Dr. M. Ganesh Kumar
Assistant Professor

Dr. Sangeeta Kumari
Assistant Professor

Dr. Sekar E
Assistant Professor

Dr. K.S. Ravichandran
Distinguished Professor

Dr. Devika V.
Assistant Professor

Dr. Mageshwari V.
Assistant Professor

Dr. P. Sriramakrishnan
Assistant Professor

Dr. Kirubavathi G.
Assistant Professor

Dr. Neha Singh
Assistant Professor

Diya Bhattacharyya
Assistant Professor

Dr. Archana Nair
Assistant Professor

Dr. Sreekanth K. M.
Assistant Professor

Dr. T. Senthilkumar
Assistant Professor
Research Areas
- Amritapuri
- Amaravati
- Bengaluru
- Coimbatore
- Chennai
- Kochi

Computer Algebra

Numerical Analysis

Mathematical Modelling

Computational Finance

Differential Equation

Solid Mechanics

Generalized Thermoelasticity

Wave Propagation

Numerical Methods

Partial Differential Equations

Stochastic Modelling and Analysis

Number Theory

Semi-group Theory

Machine Learning and Deep Learning

Physics Informed Neural Networks

Graph Theory and Applications

Metric Fixed Point Theory

Stochastic Modelling and Distribution Theory

Inverse Problems, Ill-posed Problems, and Numerical Analysis

Graph Theory and Combinatorics

Wavelet Analysis

Probability Theory and Stochastic Modelling

Theoretical Computer Science

Numerical Functional Analysis

Numerical Methods

Finite Element Method

Computational Sciences

Optimization Techniques

Numerical Mathematical Logics

Graph Theory

Fluid Mechanics

Fluid Dynamics

Mathematical Modelling

Computational Mathematics

Real Analysis

Mathematical Logics

Heat and Mass Transfer

Numerical Technique

Pure Mathematics

Applied Mathematics

Computational Mathematics

Graph Colorings, Graph Indices and Graph Algorithms

Domination, Graph Indices

Graph Colorings and Graph Indices

Fem with Wavelets and B-splines

Hybrid Numerical Methods for Singularly Perturbed Problems

Inventory Control

Singularly Perturbed PDE

Numerical Methods on Singularly Perturbed Differential Equations

Statistical Inference and Six Sigma

Estimation in Robust Regression

Designing of Control Charts

Statistical Inference Based on Lifetime Probability Distributions

Hematocrit Depended on Viscosity of Blood and Cardiovascular Problems

B-splines Methods

Investigation of Pulsatile Blood Flow Behaviour in Human Large Arteries

Mathematical Models for Heat Transfer System

Fractional Differential Equations

Mathematical Models for Semiconductor Devices

Mathematical Modelling of Disease Transmission

Fractional Nonlinear PDEs, Lie Group Analysis, Conservation Laws, Non-linear PDEs and ODEs

Generalization of Fuzzy Numbers and Multi-criteria Decision Models

Deciphering HIV Infection Models

Approximation of Fractal Interpolation Surfaces

Functional Analysis

Time Series Models, Deep Neural Network Models and Hybrid Models

Reservoir Computing

Fractal Based Image Classification

Multi Criteria Decision Making, Medical Image Processing

Linear Algebra

Coding Theory

Coding Theory and Ring Theory

Graph Based Deep Learning Models, Data Networks, Medical Image Processing

Fuzzy DEMATEL and Fuzzy VIKOR in Health Care

Pattern Classification and Clustering

Multi Criteria Decision Making, Medical Image Processing

Stability Analysis and Control System of Differential Equations

Dynamical Robustness in a Network of Oscillators

Stability Analysis of Dynamical System

Prey-predator Modelling by Considering Allee and Fear Effects

Number Theory

Highly Composite Numbers

Mathematics

Statistics

Computer Science

Data Science

Climate Modelling

Queueing Theory

Non-linear Dynamical Systems and Control
Why Amrita?!
The core vision of Amrita lies in providing education for life, grounded in intellectual social responsibility through compassion driven research that will translate into a positive global impact. The Schools under the aegis of Amrita University have over 108 programmes in disciplines as diverse as Biotechnology, Engineering, Management, Medicine, Dentistry, Ayurveda, Pharmacy, Nanotechnology, Communication, Arts & Science and Education, providing our students with an outstanding training in our several campuses across multiple states. Needless to add, this multi-disciplinary character of our University facilitates a laudable synergy within our midst greatly enabling us all to derive maximum benefit from the expertise of each other.
Outstanding Faculty from India and Abroad
Industry-Aligned Curriculum
Immersive Learning Experience
Top-Ranked University
Admission Procedure
ELIGIBILITY
FULL TIME PHD
B. Tech / M. Tech in Aerospace, Aeronautical, Mechanical, Automobile, Civil, Electrical and Electronics Engineering, and Equivalent Degrees.
applicants are expected to have strong academic records.
PART TIME PHD
Applicants who have a full-time appointment at Amrita Vishwa Vidyapeetham or at another academic/ R&D organization are eligible to apply for part-time admission. Other eligibility requirements of such applicants are same as full time applicants. Part Time students are permitted to proceed at a slower pace in completing their doctoral requirements.
INTEGRATED PHD
Exceptional students pursuing a Bachelor's or Master's degree at Amrita will be allowed to apply for the Integrated Ph.D. program subject to the requirement that he or she completes all the requirements of the Bachelor's or Master's degree prior to 'advancement to candidacy'
DUAL DEGREE PHD
Exceptional students who satisfy the eligibility requirements of Amrita and that of Amrita's International Partner University (IPU), as stated in the Dual PhD. MoU signed between Amrita and the IPU, are eligible for admission to the Dual PhD program.

Fee Structure
TUITION FEES (Per Annum) External Scholars |
TUITION FEES (Per Annum) Internal Scholars |
|
AMRITAPURI | ₹30,000 | ₹20,000 |
AMARAVATI | ₹30,000 | ₹20,000 |
COIMBATORE | ₹30,000 | ₹20,000 |
BENGALURU | ₹30,000 | ₹20,000 |
KOCHI | ₹30,000 | ₹20,000 |
Admission
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.

We Facilitate Your Education
At Amrita, students work closely with the faculty who become their mentors, advisors and friends. Our faculty aims to provide holistic education to students, strives to structure their skills, helping them to reflect on real-world issues by thinking critically, allowing them to channelize their skills to be used in real life scenarios, by giving them optimal industrial and academic exposure.

Important Links
PhD Telegram Group
By joining the official Amrita Telegram group, we can provide you quick details on interview dates, programs, admission procedures, departments, student achievements, career advice, research, and the scholarship program.
Email: phd@amrita.edu