phd in applied mathematics in india

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The International Centre for Theoretical Sciences (ICTS-TIFR) and the Centre for Applicable Mathematics (TIFR-CAM) jointly invites applications for doctoral research in Applied and Computational Mathematics. ICTS is a novel institution with a three-pronged mandate: to conduct world-class research in theoretical sciences, to provide a platform to organize various visitor-driven programs for the benefit of the wider scientific community, and to spread scientific temper and the spirit of inquiry through public outreach activities. CAM on the other hand, located about 10 km from ICTS, is a unique applied mathematics institute in India known for its interdisciplinary research and a highly competitive graduate program. Students enrolled in this joint PhD program will enjoy the benefits of being part of the vibrant academic environment at two TIFR Centres in Bengaluru.

The Applied and Computational Mathematics PhD program has research priorities on the following themes: mathematical modeling of climate-ocean-atmosphere processes, compressible flows, numerical methods for partial differential equations, and the application of machine learning and AI in these disciplines. Students with a strong background in computational research, based on semester or year long thesis work or projects completed under a mentor are especially encouraged to apply for this program.

100 Best universities for Applied Mathematics in India

Updated: February 29, 2024

Art & Design
Computer Science
Engineering
Environmental Science
Liberal Arts & Social Sciences
Mathematics

Below is a list of best universities in India ranked based on their research performance in Applied Mathematics. A graph of 411K citations received by 41.2K academic papers made by 153 universities in India was used to calculate publications' ratings, which then were adjusted for release dates and added to final scores.

We don't distinguish between undergraduate and graduate programs nor do we adjust for current majors offered. You can find information about granted degrees on a university page but always double-check with the university website.

1. Indian Institute of Technology Bombay

For Applied Mathematics

2. Indian Institute of Technology Kanpur

3. Indian Institute of Science

4. Indian Statistical Institute

5. Indian Institute of Technology Roorkee

6. Indian Institute of Technology Kharagpur

7. Indian Institute of Technology Delhi

8. Aligarh Muslim University

9. Indian Institute of Technology Madras

10. Banaras Hindu University

11. University of Delhi

12. National Institute of Technology, Rourkela

13. Savitribai Phule Pune University

14. Bharathiar University

15. Tata Institute of Fundamental Research

16. VIT University

17. Jadavpur University

18. Gandhigram Rural University

19. Indian Institute of Technology Guwahati

20. University of Calcutta

21. Indian Institute of Engineering Science and Technology, Shibpur

22. Thapar Institute of Engineering and Technology

23. Bharathidasan University

24. National Institute of Technology, Jamshedpur

25. Anna University

26. Birla Institute of Technology and Science

27. Indian Institute of Technology, BHU

28. University of Madras

29. Motilal Nehru National Institute of Technology Allahabad

30. Panjab University

31. Indian School of Mines

32. Dr. Babasaheb Ambedkar Marathwada University

33. Sardar Vallabhbhai National Institute of Technology, Surat

34. University of Kerala

35. Sant Longowal Institute of Engineering and Technology

36. Visvesvaraya National Institute of Technology

37. Cochin University of Science and Technology

38. Karnatak University

39. Indian Institute of Technology Patna

40. Indian Institute of Technology Mandi

41. University of Kashmir

42. University of Rajasthan

43. Visva-Bharati University

44. SASTRA University

45. Jai Narain Vyas University

46. University of Hyderabad

47. University of Kalyani

48. National Islamic University

49. Delhi Technological University

50. Andhra University

51. National Institute of Technology, Durgapur

52. University of Burdwan

53. National Institute of Technology, Kurukshetra

54. Shivaji University

55. Vikram University

56. Thiruvalluvar University

57. Institute of Chemical Technology

58. National Institute of Technology, Silchar

59. SRM Institute of Science and Technology

60. National Institute of Technology, Tiruchirappalli

61. KIIT University

62. National Institute of Technology, Karnataka

63. Indian Institute of Technology Hyderabad

64. National Institute of Technology, Calicut

65. South Asian University

66. Malaviya National Institute of Technology, Jaipur

67. Gauhati University

68. Amrita University

69. National Institute of Technology, Warangal

70. Central University of Punjab

71. Birla Institute of Technology

72. Periyar University

73. Pondicherry University

74. Maulana Azad National Institute of Technology

75. University of Lucknow

76. Indian Institute of Technology Indore

77. Veer Surendra Sai University of Technology

78. Amity University

79. Maharishi Dayanand University

80. Siksha O Anusandhan University

81. Indian Institute of Space Science and Technology

82. Chaudhary Charan Singh University

83. Jawaharlal Nehru University

84. Indian Institute of Science Education and Research, Kolkata

85. PDPM Indian Institute of Information Technology, Design and Manufacturing

86. Dibrugarh University

87. National Institute of Technology, Raipur

88. University of Allahabad

89. University of Mumbai

90. Indian Institute of Technology Ropar

91. Bangalore University

92. Osmania University

93. Central University of Rajasthan

94. Kurukshetra University

95. Presidency University - Kolkata

96. National Institute of Technology, Agartala

97. Lovely Professional University

98. Graphic Era University

99. Davangere University

100. National Institute of Technology, Hamirpur

The best cities to study Applied Mathematics in India based on the number of universities and their ranks are Mumbai , Kanpur , Bangalore , and Kolkata .

Mathematics subfields in India

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Ph.d – mathematics.

Convocation 2024, BITS Pilani- Pilani Campus

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Workshop on Collaborative Teaching-Learning Proces...

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Prof. N. N. Ghosh and Prof. Sudipta Chatterjee nam...

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23 September, 2024 | Pilani

A One-Day Symposium on Museum Studies

20 September, 2024 | K K Birla Goa

First PhD student admitted under the PhD Drive pro...

17 September, 2024 | K K Birla Goa

Prof. Anjan Chattopadhyay was invited as distin...

14 September, 2024 | K K Birla Goa

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Workshop on Epistemic Community of the Mhadei Riv...

29 August, 2024 | K K Birla Goa

Join BITS Pilani as a Professor of Practice

27 August, 2024 | Join BITS Pilani as a Professor of Practice

BITS Pilani WILP Convocation 2024

24 August, 2024 | Hyderabad

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16 August, 2024 | Pilani

2 August, 2024 | Hyderabad

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24 July, 2024 | Pilani

Rs 1000 Cr allocation in Budget towards venture ca...

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22 July, 2024 | Hyderabad

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19 July, 2024 | Hyderabad

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19 July, 2024 | BITS Pilani Hyderabad: Revolutionising Education For Industry And Entrepreneurs

Heartiest congratulations to Prof. Satyajit Patra�...

18 July, 2024 | Pilani

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16 July, 2024 | Springer Nature and BITS Pilani signed a Memorandum of Understanding

International Symposium cum Workshop

11 July, 2024 | Hyderabad

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1 July, 2024 | BITS Pilani and Mercedes-Benz Research and Development India join forces for advanced technology research

Workshop on Additive Manufacturing

24 June, 2024 | K K Birla Goa

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14 June, 2024 | Call for Creating Future-Ready Digital Platforms for Education

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13 June, 2024 | BITS Pilani Raises the Bar in University Rankings!

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10 June, 2024 | BITS-RMIT Higher Education Academy Students Discover RMIT and Melbourne

Dr Mrinmoyee Basu has been selected for the presti...

15 May, 2024 | Pilani

PhD Admissions | 2024-25

14 May, 2024 | K K Birla Goa

Workshop on “Collaborative Teaching-Learning Pro...

30 April, 2024 | K K Birla Goa

Inauguration of the HSS Media Lab.

20 April, 2024 | K K Birla Goa

BITS Pilani – RMIT PhD Recruitments

17 April, 2024 | K K Birla Goa

An International Conference on Sustainable Urban W...

6 April, 2024 | Hyderabad

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5 April, 2024 | K K Birla Goa

National Symposium on Current Trends in Pharmac...

1 April, 2024 | Hyderabad

Research Methodology Workshop Series on Conducting...

22 March, 2024 | K K Birla Goa

Research Methodology Workshop Series on Action Res...

17 March, 2024 | K K Birla Goa

Research Methodology Workshop Series on Ethnograph...

International women’s day celebrations ̵....

6 March, 2024 | Hyderabad

Admission to the Ph.D Programme (Full-time and Par...

4 March, 2024 | Pilani

BITSAT-2024

29 February, 2024 | Pilani

Celebration of Founder’s Day with great enthusia...

27 February, 2024 | Pilani

International conference on Wit, Humour, and the C...

13 February, 2024 | K K Birla Goa

Research Methodology Workshop Series Topic – Dat...

6 February, 2024 | K K Birla Goa

Research Methodology Workshop Series Topic –...

27 January, 2024 | K K Birla Goa

HSS Research Forum invites you for Research Method...

15 January, 2024 | Hyderabad

2024 Batch Reunion for Batches of 2012 & 2013

11 January, 2024 | Hyderabad

IUCN CEM Forest Ecosystem Specialist Group, CEM So...

11 December, 2023 | K K Birla Goa

An international workshop on: Depth, Surface and M...

1 December, 2023 | K K Birla Goa

Overseas Student Doctoral Programme Academic Year ...

30 November, 2023 | Pilani

One – day International Workshop as part of...

14 November, 2023 | K K Birla Goa

Indian-European Advanced Research Network & De...

7 November, 2023 | K K Birla Goa

Beaux Arts and the Second Empire

26 September, 2023 | K K Birla Goa

JOINT PH.D. SCHOLARSHIP – BITS PILANI AND RMIT U...

18 September, 2023 | Pilani

16 September, 2023 | Pilani

12 September, 2023 | Pilani

BITS RMIT PhD Admission | Sem-II 2023-24

7 September, 2023 | Pilani

BITS Pilani launches PhD Program to create Deep Te...

18 August, 2023 | Pilani

Independence Day was celebrated at BITS Pilani, Pi...

15 August, 2023 | Pilani

Convocation 2023 held at BITS Pilani, Pilani campu...

Class coordinators for fd and hd programs.

11 August, 2023 | Pilani

List of Electives (1st SEM)

Farewell to phd scholar saurabh mundra., admissions 2017, iccd3 2-4 march 2017- some glimpses, department of pharmacy at bits pilani, pilani camp..., applications are invited from the eligible candida..., jrf position in dst-rajasthan project (dr. anupama..., jrf position in industry sponsored project on “n..., phd admission in i sem 2018-19, bits m. pharm-2018 advertisement, applications are invited from suitable candidates ..., dr anil jindal conferred with eudragit award 2017 ..., mr. ginson george (ph.d. scholar working with dr. ..., bits admission test – 2019 “bitsat-2019..., phd short listing criteria, phd admission in i sem 2019-20, jrf positions under dr. deepak chitkara and dr. an..., jrf for “the office of principal scientific advi..., dst inspire fellowship to mr. prashant auti (phd r..., dr. p.d. sethi memorial national award 2019 confer..., call for research position (jrf / srf) in indo-aus..., ph.d admission in first semester 2021-22, world pharmacist day celebrated on 25th september ..., applications are invited from interested and motiv..., mr. arihant kumar singh, phd scholar working with ..., mr. s n c sridhar (ph.d research scholar working w..., phd admission in ii sem 2018-19, jrf position in an icmr sponsored project under dr..., dr. atish t. paul conferred the “best professor ..., guest lecture delivered by dr. sanyog jain, associ..., miss arisha mahmood (m.pharm, ii semester ) won th..., jrf position under dr. anupama mittal in icmr spon..., jrf position under dr. paul atish tulshiram in dst..., jrf position under prof. ranendra n. saha (pi) &am..., mr. kishan s italiya (ph.d. research scholar) work..., a two day workshop on pharmacokinetic & pharma..., ph.d admission in first semester 2020-21, pharmacist day celebrated at department of pharmac..., international virtual conference on drug discovery..., 03 phd scholars (department of pharmacy) selected ..., virtual conference on regulatory aspects and intel..., prof. rajeev taliyan conferred the nams membership..., miss violina kakoty, phd scholar working with prof..., ms. paramita saha (ph.d. scholar working under dr...., virtual conference on pharmacy: always trusted for..., deepak kumar sahel, phd scholar with prof. deepak ..., deepak kumar sahel, ph.d. student working with pro..., ms. shreeya p shah (b. pharm. 2ndyear) working wit..., disso research presentations india (drpi) 2022, department of pharmacy, bits pilani has organised ..., dr. raj kumar gupta visited raman research instit....

10 August, 2023 | Pilani

Dr. Manjula Devi visited IISC Bangalore for a coll...

“fp7-people-irses msnano network”, which is be..., recently department of physics has started its own..., international project on msnano of european commis..., international workshop on data analytics & app....

3 August, 2023 | Pilani

INDO – CHILE Workshop on BIG Data

Workshop on blockchain technology and applications, congratulations to dr. mamta devi sharma for her s....

1 August, 2023 | Pilani

Congratulations to Dr. Bintu Kumar for his success...

Welcome dr. nitika grover in the department of che..., congratulations to dr. jyothi yadav for her succes..., congratulations to dr. chikkagundagal k. mahesha f..., congratulations to dr. amol prakash pawar for his ..., heartiest congratulation to manisha for receiving ..., congratulation to prof. indresh kumar for receivin..., one jrf/project associate-i position is available ..., applications are invited from highly motivated and..., chemistry department seminar are held on every thu..., aspects of effective teaching.

22 July, 2023 | Hyderabad

Convocation 2023

20 July, 2023 | Hyderabad

The Indian Mathematical Society (IMS)-2023

19 July, 2023 | Hyderabad

13 June, 2023 | Pilani

Learn more about BITS-RMIT Higher Education Academ...

9 June, 2023 | Pilani

BITS Pilani invites applications to register for P...

11 May, 2023 | Pilani

Admission to Ph.D Programmes

2 May, 2023 | Hyderabad

Bachelor of Science in Computer Science

20 April, 2023 | Pilani

President Droupadi Murmu confers Padma Bhushan, In...

28 March, 2023 | President Droupadi Murmu confers Padma Bhushan, India’s third-highest civilian award, to our Chancellor Dr. Kumar Mangalam Birla at the Rashtrapati Bhavan.

BITS Law School, Mumbai Campus

9 March, 2023 | Mumbai

26 January, 2023 | Pilani

National Startup Investor Day celebrated by BITS P...

18 January, 2023 | K K Birla Goa

National Symposium on Convergence of Chemistry �...

3 January, 2023 | Hyderabad

2 Day National Workshop on Challenges in Welding a...

Chancellor’s medal winners 2022.

2 January, 2023 | Dubai

International conference on ‘Aggregation-Induced...

24 December, 2022 | K K Birla Goa

BPDC Wins The BEST ENGINEERING UNIVERSITY – ...

19 December, 2022 | Dubai

Heartiest congratulation to sumit for receiving th...

16 December, 2022 | Pilani

BPDC’s Wall Street Club Secures the Top Posi...

16 December, 2022 | Dubai

Utilizing microbiome science to improve host healt...

26 November, 2022 | Pilani

AUTO Ltd. SCHOLARSHIP Announcement

24 November, 2022 | Pilani

FDP on Sustainability in Civil Engineering begins ...

21 November, 2022 | Pilani

Programmable DNA nanodevices to instruct biologica...

19 November, 2022 | Pilani

SPARKS 2022

31 October, 2022 | Dubai

Identifying risk predictors for Cardiovascular Dis...

31 October, 2022 | Pilani

GANDHI JAYANTI

28 October, 2022 | Dubai

Studying the mechanisms underlying anti-inflammati...

26 October, 2022 | Pilani

Chemistry department has organized DST-STUTI works...

15 October, 2022 | Pilani

Innate immune recognition of bacterial toxins

14 October, 2022 | Pilani

Cell Counting As A Part Of The Animal Cell Technol...

27 September, 2022 | Pilani

5 September, 2022 | Pilani

Memorandum of Understanding (MoU)

30 August, 2022 | Pilani

ICON-BITS-2023

25 August, 2022 | Pilani

Convocation 2022

22 August, 2022 | Pilani

Convocation 2022, Pilani Campus

Independence day celebration- 2022.

15 August, 2022 | Pilani

Drosophila eye model to study patterning and dise...

2 May, 2022 | Pilani

Informatics-Driven Advances in Biological Sciences

2 March, 2022 | Pilani

Lung cancer and Lung cancer screening

8 February, 2022 | Pilani

Sleep modulation by glial transporters in Drosophi...

23 October, 2021 | Pilani

Applications of Synthetic Biology in Metabolic Eng...

Engineering analysis of living systems.

15 June, 2021 | Pilani

Genesis issue

24 April, 2021 | Pilani

The joys and sorrows of any life in science

6 March, 2021 | Pilani

Deeper exploration of cellular heterogeneity with ...

22 February, 2021 | Pilani

Biomolecular interactions measurement using Thermo...

12 February, 2021 | Pilani

A Demo on ‘FPLC’

29 January, 2021 | Pilani

Indian Workshop on Applied Deep Learning (IWADL201...

15 December, 2019 | Pilani

One day Workshop on Blockchain Technology and Appl...

10 November, 2019 | Pilani

International conference on Intelligent Human Comp...

12 December, 2016 | Pilani

Department of Physics, BITS Pilani has successfull...

5 November, 2015 | Pilani

“International Conference on Soft Materials&...

6 October, 2014 | Pilani

Indo-Chile Workshop on Big Data 2014 (ICWBD)

4 June, 2014 | Pilani

The Department of Physics, BITS Pilani, Pilani Cam...

23 March, 2014 | Pilani

Department of Physics, BITS Pilani organized a wor...

7 March, 2014 | Pilani

“Proton acceleration by circularly polarized...

8 July, 2013 | Pilani

Dr. Tapomoy Guha Sarkar taught a course on General...

1 July, 2013 | Pilani

“Thermal studies on materials: A case study...

20 June, 2013 | Pilani

Dr. Tapomoy Guha Sarkar visited the Department of ...

10 June, 2013 | Pilani

Dr. Navin Singh has delivered an invited lecture o...

30 March, 2013 | Pilani

Dr. Anshuman Dalvi has delivered an invited lectu...

Research paper titled “conformational and or....

25 March, 2013 | Pilani

26 February, 2013 | Pilani

“Program on CP Violation in elementary parti...

19 February, 2013 | Pilani

Dr. Jayendra N Bandyopadhyay has delivered Colloqu...

Dr. jayendra n bandyopadhyay has delivered prestig....

18 February, 2013 | Pilani

Dr. Jayendra N Bandyopadhyay has delivered an ivi...

25 January, 2013 | Pilani

Dr. Madhukar Mishra has recently given a talk on &...

18 January, 2013 | Pilani

Dr. Jayendra N Bandyopadhyay has delivered an invi...

6 January, 2013 | Pilani

Dr Subhashis Gangopadhyay presented a paper title...

3 January, 2013 | Pilani

Dr. Tapomoy Guha Sarkar participated in the ASTRON...

19 December, 2012 | Pilani

Workshop on Introduction to Graphs and Geometric A...

22 January, 2009 | Pilani

K K Birla Goa, Hyderabad, Pilani

The main objective of the doctoral program is to create scholarly responsibility among researchers and provide them with an intellectually stimulating environment for focused research. The study phase of the research includes a solid foundation in advanced mathematics with a particular sequence of courses designed to enhance the professional ability of the candidates.

Research Areas

The department offers a full time Ph.D. programme in the following thrust areas of its research.

Linear Algebra
Numerical Analysis
Graph Theory
Control Theory
Operator Theory
Complex Analysis
Topology & Geometry
Functional Analysis
Fracture Mechanics
Harmonic & Wavelet Analysis
Number Theory & Cryptography
Financial Mathematics
Theoretical and Computational Differential Equations
Mathematical Modelling
Discrete Mathematics
M. Sc. In Mathematics or equivalent degree with 60% aggregate. Shortlisted candidates will have to appear for a written test and/or interview. Candidate having NET/GATE/M. Phil/JRF will be exempted from the written test
M.Sc. or equivalent: ₹ 28,000 per month. After qualifying, the coursework through examinations, the scholarship will increase to ₹ 31,000 per month.
M.Phil./M. Tech./JRF: ₹ 31,000 per month.
The higher fellowship may be made available in subsequent years subject to the institute norms and performance of the candidates.

To learn more about the Ph.D admissions process at BITS Pilani, please visit the website https://www.bitsadmission.com

Associate Professor

Numerical Methods

Amiya Kumar Pani

Visiting Professor

Numerical Analysis and Scientific Computing, Partial Differential Equations and Control

Numerical Analysis, Optimal Control Theory

Anirudh Singh Rana

Associate Professor, Department of Mathematics, BITS Pilani, Pilani Campus

Continuum Mechanics, Finite Volume methods, Fluid dynamics, Gas dynamics, Micro/Nanofludics, Non-equilibrium Thermodynamics, Transport Phenomenon

Anupama Sharma

Assistant Professor, Gr-I

Complex systems, Dynamical Systems, Mathematical Biology, Mathematical modelling

Anushaya Mohapatra

Dynamical Systems, Mathematical Biology

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Best Ph.D in Mathematics Universities in India

Institute type, gender diversity, popular private colleges.

ICFAI Business School-IBSAT 2024

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Fees : ₹ 2.54 Lakhs
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Bengaluru city university, bengaluru, bennett university, greater noida, berhampur university - berhampur university, berhampur.

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Fees : ₹ 3.31 K
Ph.D ( 11 Courses )

Bharath Institute of Higher Education and Research, Chennai

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Exams : UGC NET

BITS Pilani - Birla Institute of Technology and Science, Pilani

Birla institute of technology, mesra (bit mesra) - birla institute of technology, mesra, bir tikendrajit university, imphal, bodoland university, rangalikhata.

Fees : ₹ 3.91 Lakhs

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Capital University, Koderma

Career point university, hamirpur.

Fees : ₹ 6.24 Lakhs

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Fees : ₹ 1.62 Lakhs

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Ph. D. in Applied Mathematics

The programme enables students to learn new methods in research to predict the observed, and unobserved phenomena and find solutions to real-world problems. In today’s world, new challenges and problems arising in all fields require solutions that are precise through numerical methods that involve differential equations, statistics, numerical methods, and analysis. With a close-knit community of learners working together diligently towards impactful research work, students get an opportunity to create new frontiers of knowledge in the fields of mathematics through quality research and a world-class framework.

Commence of the course

Course duration, mode of study, eligibility.

A 1-year / 2-semester master's degree programme after a 4-year / 8-semester bachelor’s degree programme or a 2-year / 4-semester master’s degree programme after a 3-year bachelor’s degree programme or qualifications declared equivalent to the master’s degree with 55% marks in aggregate from a recognized University in "relevant discipline" .
Candidate seeking admission after a 4-year / 8-semester bachelor’s degree programme should have a minimum of 75% marks in aggregate or its equivalent grade on a point scale wherever the grading system is followed in "related discipline" .
A candidate with an M. Phil Degree with at least 55% marks in aggregate shall be eligible for admission to the Ph.D. programme.
A relaxation of 5% marks or its equivalent grade may be allowed for those belonging to SC / ST.

Areas of Research

General Topology
Fractional Calculus
Graph Theory
Applied Statistics
Fluid Dynamics
Numerical Methods
Distribution Theory
Machine Learning
Differential Equations
Combinatorics
Stochastic Processes
Artificial Intelligence
Nonlinear Dynamics
Discrete Mathematics
Reliability
Big Data Analytics

Salient Features

Research fellowship of Rs. 35,000 per month and a research allowance of Rs. 25,000 per year for full-time scholars.

Monetary support for attending national and international conferences for Full-Time Research Scholars.

University Journals for the publication of Research Articles.

Periodic similarity check of research papers and chapters.

Experts to guide and supervise research studies.

Intense coursework prior to the commencement of the Research Study.

Facility for Transfer of Research Scholars from other Universities or Research Institutions to Alliance University and vice-versa.

Specific provisions and relaxations with respect to women Research Scholars and specially abled persons.

Extensive interaction with luminaries.

Course Work

Research Methodology – Part A (General)
Linear Algebra
Specialisation-specific Paper
Research Methodology – Part B (Specialisation-specific)
Real Analysis/Measuring Theory
Specialisation-specific Assignment

Course Description

Research Methodology Part A: General (Common subject): This course introduces the students to the importance of systematic approach to research, research ethics, types of research design, research methods, data collection methods, data analysis techniques, and research report writing.
Linear algebra (Compulsory subject): This course introduces the students to the concepts and techniques of linear algebra, vector space theory, Banach space theory, and Lp space theory. These techniques are widely used in almost all fields of mathematics and statistics and are therefore important for developing a foundation for applied mathematics research.
Research Methodology Part B: Specialisation-specific (Compulsory subject): General (Common subject): This course introduces the students to research methods in their domain of specialisation.
Real analysis/Measure theory (Compulsory Subject): This course introduces the students to the concepts and techniques of real analysis, topological theory, measure theory, and differential equations. These techniques are widely used in almost all fields of mathematics and statistics and are therefore important for developing a foundation for applied mathematics research.

Specialisation-specific Assignment: The Specialisation-specific Research Methodology course contents, the Specialisation-specific Paper, and the Specialisation-specific Assignment are to be determined by the candidate’s Research Supervisor in consultation with the Research Advisory Committee.

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IIT Bombay Department of Mathematics

The m.sc mathematics programme, ph.d admissions.

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Admission to Ph.D programme in Mathematics and Statistics

2016 ). With state-of-the art infrastructural facilities and a sound research base, IITB Mathematics offers a Ph.D. programme in a wide variety of areas. The program leading to the Ph.D. degree involves a course credit requirement and a research project leading to thesis submission. All that you need to know about admissions to our PhD program can be found in the information brochure for PhD admissions, which can be found at the following link. ----- A special welcome to all who wish to pursue a career in Mathematics and Statistics research. The Department of Mathematics, IITB offers a Ph.D. program in a wide variety of areas. To know more about the research interests of faculty members, please visit the page here . The program leading to the Ph.D. degree involves a course credit requirement, clearing of qualifier examinations and a research project leading to thesis submission. For more details, follow one of the links below

A special welcome to all who wish to pursue a career in Mathematics and Statistics research. The Department of Mathematics, IITB offers Ph.D. program in the areas of Mathematics and Statistics. Admission to the PhD program is based on a written test and interview. There are separate written tests and interviews for students in Mathematics and Statistics. The syllabus is given below. Students are required to choose one option specifying either Mathematics or Statistics.

To know more about the research interests of faculty members, please visit the page here . The program leading to the Ph.D. degree involves a course credit requirement, clearing of qualifier examinations and a research project leading to thesis submission. For more details, follow one of the links below

Syllabus for Entrance exam can be found here Past question papers can be found here

Syllabus for Mathematics Entrance Exam

Syllabus for Statistics Entrance Exam

Past Question Papers

PhD Admissions

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Ph.D. in Mathematics

The Department of Mathematics & Statistics offers a highly research-intensive Doctoral programme and provides students with excellent facilities and expert guidance to support their research endeavors. The programme is designed to help postgraduate students develop research skills and prepare for careers in academia or research. The programme provides specialised training in research components such as hypothesis creation, research questions, literature review, research ethics, and the use of online tools and resources. The programme has a strong focus on interdisciplinary research and encourages students to pursue innovative and entrepreneurial ideas in their chosen areas of study.

The Department has a team of young dynamic researchers from various fields of pure as well as applied Mathematics and Statistics. The research supervisors have a good number of publications in peer reviewed reputed national/international journals.

The areas of research are Topology, Topology, Metroid Theory, Combinatory, Graph Theory, Algebra, Lattice Theory, Discrete Mathematics, optimization techniques, logistics and supply chain management, Dynamical Systems, Solid Mechanics, Mathematical Modelling, Clinical Trials etc.

Ph.D. Entrance Test (PET) Syllabus

Guidelines for Research Scholars

Ph.D Programme Fees

The following candidates are eligible to seek admission to the Ph.D. programme

Candidates who have completed:

i) Graduates of 4-year Bachelor of Science programmes/ Engineering & Technology (with sufficient Mathematics background) with minimum CGPA of 7 .5 and above

ii) Master’s degree in mathematical sciences/ Physical Sciences/ Engineering & Technology (with sufficient Mathematics background) with a minimum CGPA of 6.0 or 55% marks in aggregate in the qualifying exam.

A relaxation of 5% marks or its equivalent grade may be allowed for those belonging to SC/ST/OBC (non-creamy layer)/differently-abled and other categories of candidates as per the decision of the commission from time to time.

Reservation is applicable only to Maharashtra domicile candidates provided they submit the necessary documents for reservation before interview. Outside Maharashtra candidates will be considered in the open category.

II. Selection Process for the admission to the Ph.D. programme

1. Candidates satisfying eligibility criteria shall be called to appear for the Ph.D. entrance test conducted by MIT-WPU. The exemption will be given from Ph.D. entrance tests for those students who qualify UGC-NET /UGC-CSIR NET /GATE (valid score)/CEED/GPAT (valid score)and similar national tests.

2. Ph.D. entrance test shall be qualifying with qualifying marks as 50% provided that relaxation from 50% to 45% shall be allowed for the candidates belonging to SC/ST/OBC (Non creamy layer)/Differently abled category and other category of candidates. The syllabus of the entrance test shall consist of 50% of research methodology and 50% shall be subject specific.

3. The interview/viva-voce will be conducted by the university for test qualifying candidates. For selection of candidates a weightage of 70% to the entrance test and 30% to the performance in the interview/Viva-voce shall be given. For GATE/NET/JRF /SET/GPAT/CEED qualified students, the selection will be based on Interview/Viva Voce

4. The recommended candidates will be intimated through email about their selection and the candidates will be offered Ph.D. provisional admission.

5. The eligibility of a candidate is provisional as per information provided by the candidate in his/her application form and is subject to verification of minimum eligibility conditions for admission to the program, educational documents and reservation documents (if any).

6. University keep rights to cancel admission of the Ph.D. scholars in the case of misconduct by the scholar, unsatisfactory progress/absent for consecutive two progress seminars, failure in any examination related to Ph.D., fabrication found in educational and reservation documents, candidate is found ineligible, involved in plagiarism in paper publications and thesis.

7. Provisional eligibility to appear in the selection process is no guarantee for admission to the programme.

8. Candidates who will join the Ph.D. programme full time, they will be provided with the stipend as per MIT-WPU norms.

9. Ph.D. admission will be confirmed after successful completion of the course work with 55% or more as per UGC norms. Ph.D. programme should be minimum of three years including coursework and maximum of six years from the date of admission to the Ph.D. programme.

10. A maximum of an additional two years (2) years can be given through the process of re-registration provided, however, that the total period for completion of a Ph.D. programme should not exceed eight (8) years from the date of admission in the Ph.D. programme.

11. Provided further that, female Ph.D. scholars and persons with Disabilities (having more than 40% disability) may be allowed an additional relaxation of two years (2); however, the total period for completion of a Ph.D. programme in such cases should not exceed ten (10) years from the date of admission of the programme.

12. Female candidates may be provided Maternity Leave/Child Care Leave for up to 240 days in the entire duration of Ph.D. programme.

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The PhD programme in Mathematics at TIFR CAM is a five-year programme designed for students who have completed a Master’s degree in Mathematics (or equivalent). The program will have intensive coursework in the 1st year followed by cutting-edge research under the supervision of a faculty member at CAM. The research expertise and interests of the CAM faculty can be found at https://www.math.tifrbng.res.in/people/faculty

The PhD Programme consists of 3 stages

Year 1 : The student undergoes rigorous training in advanced Master’s/PhD level mathematics with a strong emphasis on Analysis, Probability, and theoretical and numerical study of PDEs. In the first semester, they will take a mandatory course on Advanced Real Analysis and choose three other electives from Introductory PDE, Probability Theory, Complex Analysis, and Advanced Functional Analysis. In the second semester, the student will do a reading course with a faculty member and will take three other courses from those offered as electives in the Integrated PhD programme. The detailed syllabi of these courses can be found here (link). Year 2 : The student completes a year-long project — usually done under the mentorship of one faculty member (the presumed PhD advisor). In addition, the student takes the following courses :

Research Methodology (4 credits)
Research and Publication Ethics (2 credits)
Non-reading course(s) totalling 6 credits

By the end of the second year, the student must pass the Candidacy Examination to register for PhD (details below). Years 3, 4, and 5: PhD work under the supervision of a faculty member.

Normal progress in the PhD programme

completes non-reading courses, Research Methodology, and Research and Publication Ethics courses with an S (Satisfactory) grade.
completes a year-long research project with the potential PhD advisor in the run-up to the candidacy exam, and
passes the Candidacy Examination and registers for a PhD with the thesis advisor.

Candidacy Examination and Registration for PhD.

The eligibility requirements to appear for a candidacy exam are:

Having a potential PhD advisor.
Passing the Research Methodology and Research and Publication Ethics courses.

The candidacy examination consists of a research presentation followed by a question/answer session before the Candidacy Examination Committee. The research presentation typically consists of background research material as well as potential research problems the student plans to pursue as part of their PhD work. After passing the Candidacy Examination, the student can register for a PhD by applying to the Subject Board within 6 months. The application should contain the name of the proposed thesis adviser and a broad description of the topic of research intended to be pursued, and endorsed by the proposed thesis adviser. At the time of registration of PhD, a Thesis Monitoring Committee will be constituted. The student is responsible for choosing a research topic and finding an advisor who matches their aptitude and interests. There is no formal procedure for drawing up research programmes and assignments to advisers. The student is expected to develop a serious interest in a broad area of specialization by the end of their first year, and they are welcome to consult any faculty member at the Centre for suggestions. Any regular academic member of the School of Mathematics is eligible to be a student’s thesis adviser. For more information, please visit https://www.tifr.res.in/academics/academic_procedures.php

Submission of PhD Synopsis and PhD Thesis

After the student completes their PhD research project(s), with the permission of the thesis adviser, the student forwards a synopsis of the thesis to the Subject Board, to obtain approval for submission of the synopsis to the TIFR Mumbai Graduate Studies Office. The same procedure will once again be followed to obtain approval for submission of their thesis. Once the Subject Board approves the submission of a synopsis/thesis, the rest of the process of submission and evaluation of the synopsis and thesis will be as per the guidelines prescribed by the Academic Council of TIFR. For more information, please visit https://www.tifr.res.in/academics/academic_procedures.php

What if normal progress is not maintained at any stage of the PhD programme?

If a student fails a particular course or if their performance is not satisfactory, the Graduate Studies Committee will decide the future course of action in consultation with the concerned instructor(s).
If a student fails in 2 or more courses, then the Graduate Studies Committee may recommend expulsion of the student from the programme.
A student who has not obtained an S grade in 4 Topics courses will be asked to take further such courses to satisfy this requirement, and this has to be done prior to their candidacy examination.
If a student fails the candidacy examination, the Graduate Studies Committee in consultation with the adviser and the Candidacy Exam Committee, may ask the student to give another one in a few months time. If a student fails the candidacy exam the second time, they will be asked to leave the programme.
If the Thesis Monitoring Committee of a student is not satisfied with the progress of the student at any point, the Graduate Studies Committee may ask the student to leave the programme.
If a student is not in a position to defend the thesis by the end of the 5th year, an extension of a few months with half the normal salary may be granted subject to some restrictions. Therefore a student is strongly advised to successfully defend the thesis by the end of the 5th year.
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The award of the Ph.D. degree is in recognition of high academic achievements demonstrated by independent research and application of knowledge to the solution of technical and scientific problems. Creative and productive inquiry is the basic requirement underlying research work. The academic program leading to the degree involves fulfilling course credit requirements, residential requirements and a thesis giving a critical account of the research carried out in any of the following areas:

Applied group theoretic techniques, Discrete symmetries
Mathematical modeling and simulation, non-linear partial differential equations
Linear Algebra, Numerical Methods, Operations Research
Differential Geometry, Multivariable Calculus
Wave propagation, Wavelets and differential equations, Wavelets in image processing
Algebraic Coding Theory, Sequence Design, Distributed Source Coding
Fuzzy Information Measures, Decision Making, Pattern Recognition
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