Admission Helpline 1800 120 102 102
1800 120 102 102
Admissions Open 2026-27 Register Now Fee 2026-2027
Register Now Fee 2026-2027

Request a call

  • Home
  • Ph.D. (Mathematics)

Course Overview

The Ph.D. in Mathematics is a research-intensive doctoral programme designed to foster original and significant contributions to the field of mathematical sciences. The programme provides scholars with an opportunity to undertake advanced research in diverse areas of pure and applied mathematics under the guidance of experienced faculty members.

Research in the Department encompasses a wide range of areas, including Algebra, Coding Theory, Real Analysis, Complex Analysis, Differential Equations, Numerical Analysis, Optimization, Mathematical Modelling, Scientific Computing, Data Science, Number Theory, and other emerging interdisciplinary fields. Scholars are encouraged to develop innovative methodologies, address challenging mathematical problems, and contribute to the advancement of knowledge through high-quality research publications.

The programme cultivates independent thinking, analytical rigour, and research excellence, preparing graduates for careers in academia, research institutions, industry, and other knowledge-driven sectors. Through seminars, workshops, conferences, and collaborative research activities, scholars gain valuable exposure to contemporary developments in mathematical sciences and global research practices.

Structure of the Program

Ph.D. programmes in Mathematics typically include the following components:

A. Coursework (First Semester)

Scholars undertake advanced coursework designed to build a strong foundation in research and subject-specific knowledge. The coursework typically includes:

  • Research Methodology and Publication Ethics
  • Tools and Techniques
  • Elective Papers

B. Qualifying / Comprehensive Examination

After completing the coursework, Ph.D. scholars must demonstrate their depth of understanding through qualifying or comprehensive examinations. Successful completion of these examinations allows scholars to advance to Ph.D. candidacy and formally begin their research work.

C. Research Phase

After qualifying and identifying a research supervisor, scholars focus on their chosen research topic. This phase may include:

  • Conducting a comprehensive literature review and identifying open problems
  • Undertaking original research
  • Publishing research findings in peer-reviewed journals
  • Presenting research work at seminars, workshops, and conferences

Key Milestones in the Ph.D. Journey

At Shri Guru Ram Rai University, the Ph.D. programme generally includes the following stages:

  • Coursework completion
  • Qualifying / Comprehensive Examination
  • Research synopsis/proposal presentation
  • Original research and publication
  • Thesis submission
  • Final Oral Defence (Viva-Voce)

The final defence involves presenting the thesis and research findings before a panel of experts, who evaluate the originality, quality, and significance of the contribution made to the field of Mathematics.

Areas of Research

Research areas in Mathematics include, but are not limited to:

Applied Mathematics

  • Numerical Analysis
  • Reliability
  • Optimization
  • Mathematical Modelling
  • Decision Analysis

Pure Mathematics

  • Non-additive Measure Theory

Interdisciplinary Areas

  • Computational Mathematics

Skills and Outcomes

Upon completion of the Ph.D. programme, scholars develop:

  • Advanced mathematical knowledge and expertise
  • Research and problem-solving skills
  • The ability to publish and communicate complex ideas effectively
  • Teaching and academic experience
  • Qualifications for careers in academia, research institutions, industry R&D, and quantitative professions
 
Card image

High-Quality Education, Experienced Faculty, Research Opportunities, Strong Career Support

Eligibility, Fee Details & Syllabus

1. Laboratory Based Courses (Total fee for six semesters: 3,12,000)
Particulars I SEM II SEM III SEM IV SEM V SEM VI SEM
Admission fee# 5,000          
Enrollment fee 2,000          
Tuition fee 44,000 44,000 44,000 44,000 44,000 44,000
Development fee 1,500 1,500 1,500 1,500 1,500 1,500
Other fee (library etc) 11,000          
Thesis submission fee           11,000
Security deposit (Refundable) 10,000          
Total 73,500 45,500 45,500 45,500 45,500 56,500
2. Non-Laboratory Based Courses (Total fee for six semesters: 2,46,000)
Particulars I SEM II SEM III SEM IV SEM V SEM VI SEM
Admission fee# 5,000          
Enrollment fee 2,000          
Tuition fee 33,000 33,000 33,000 33,000 33,000 33,000
Development fee 1,500 1,500 1,500 1,500 1,500 1,500
Other fee (library etc) 11,000          
Thesis submission fee           11,000
Security deposit (Refundable) 10,000          
Total 62,500 34,500 34,500 34,500 34,500 45,500
1. Laboratory Based Courses (Total fee for six semesters: 4,04,400)
Particulars I SEM II SEM III SEM IV SEM V SEM VI SEM
Admission fee# 5,000          
Enrollment fee 2,000          
Tuition fee 59,400 59,400 59,400 59,400 59,400 59,400
Development fee 1,500 1,500 1,500 1,500 1,500 1,500
Other fee (library etc) 11,000          
Thesis submission fee           11,000
Security deposit (Refundable)* 10,000          
Total 88,900 60,900 60,900 60,900 60,900 71,900
2. Non-Laboratory Based Courses (Total fee for six semesters: 3,15,300)
Particulars I SEM II SEM III SEM IV SEM V SEM VI SEM
Admission fee# 5,000          
Enrollment fee 2,000          
Tuition fee 44,550 44,550 44,550 44,550 44,550 44,550
Development fee 1,500 1,500 1,500 1,500 1,500 1,500
Other fee (library etc) 11,000          
Thesis submission fee           11,000
Security deposit (Refundable)* 10,000          
Total 74,050 46,050 46,050 46,050 46,050 57,050

# Non-Refundable

* Refundable

Course Name

Ph.D. (Mathematics)

Course Duration

3-6 Years

Eligibility

Post Graduate Degree in Mathematics with at least 55% marks or with an equivalent Grade Point average (GPA). Relaxation of 5% marks to SC/ST/OBC (non –creamy layer) differently-abled categories applicant.

Admission Process

On the basis of Entrance Exam /Merit

Uniform Fee Extra

  • Fee structure subject to revision from time to time.
  • The Institute without any prejudice reserves the right to change or delete any information without any prior information.

Schedule of Depositing the Fee:

  • 1st Installment at the time of Admission.
  • 2nd, 4th, 6th and 8th Installment (as applicable) - Last Date Payment: 15th January each academic year.
  • 3rd, 5th and 7th Installment (as applicable) - Last Date Payment: 15th July each academic year.
split Images

Why Choose Our Education Program?

  • Access to Expert Faculty Learn under the guidance of highly qualified and experienced educators who bring real-world insights and research into the classroom, helping you build a strong academic foundation.
  • Hands-on Teaching Practice Gain real school experience through internships, teaching simulations, and micro-teaching exercises, preparing you for real-world classroom challenges with confidence.
  • Modern Learning Resources Benefit from digital classrooms, a well-stocked education library, and teaching-learning materials that support innovative and interactive pedagogy.
  • Career Guidance & Support Receive personalized mentoring and career counselling, helping you choose the right career path in teaching, research, or administration.
  • Recognition & Professional Growth Stand out with a degree from a reputable institution known for producing successful teachers, researchers, and education leaders nationwide.

Job Opportunities

Graduates of the Ph.D. in Mathematics programme are well-equipped for leadership roles in academia, research, industry, and government organizations.

Career Paths

  • Assistant Professor, Lecturer, and Postdoctoral Researcher
  • Research Scientist in Universities and Research Institutions
  • Scientists and Research Officers in Government Organizations
  • Industry R&D Professionals in Technology, Data Science, Artificial Intelligence, Cryptography, and Finance
  • Quantitative Analysts and Mathematical Modellers
  • Data Scientists and Analytics Professionals
  • Scientific Consultants and Technical Experts

The programme prepares scholars for advanced research, innovation, teaching, and leadership positions in academic, scientific, and technology-driven sectors worldwide.

Get Every Single Answer Here

Welcome to the Student FAQ! Here you'll find answers to common questions to help you navigate your academic journey. To register for classes, log in to the student portal, navigate to the course registration section, select your courses, and confirm your schedule.

Q1. What academic programmes are offered at SBAS?

SBAS offers undergraduate, postgraduate, and doctoral programmes across core disciplines including Microbiology, Biotechnology, Forensic Science, Chemistry, Physics, Mathematics, Botany, Zoology, and Geology. The curriculum is designed in alignment with NEP guidelines and focuses on multidisciplinary learning.

Q2. Does the curriculum follow Choice Based Credit System (CBCS)?

Yes, SBAS follows a Choice Based Credit System with continuous internal assessment, enabling students to select elective courses and develop interdisciplinary competencies.

Q3. What teaching–learning methodologies are adopted?

The School employs student-centric teaching approaches including experiential learning, laboratory-based training, project work, field studies, ICT-enabled teaching, and interactive sessions to enhance conceptual understanding.

Q4. What research opportunities are available for students?

SBAS promotes a strong research culture. Students are encouraged to participate in funded projects, dissertation work, publications, conferences, and interdisciplinary research under the guidance of experienced faculty.

Q5. Are there well-equipped laboratory and research facilities?

Yes, the School is equipped with advanced laboratories and modern instrumentation to support teaching, research, and innovation in various scientific domains.

Q6. How does SBAS support innovation and skill development?

The School regularly organizes workshops, hands-on training, seminars, and skill development programmes to enhance employability and research capabilities of students.

Q7. Are internship and industry exposure opportunities provided?

Yes, students are encouraged to undertake internships, industrial training, and collaborative research projects with reputed organizations and industries.

Q8. What student support services are available?

SBAS provides mentoring, academic guidance, career counselling, and support for competitive examinations such as NET, GATE, and other national-level tests.

Q9. What are the career prospects after completing programmes from SBAS?

Graduates have diverse career opportunities in research institutions, healthcare, biotechnology and pharmaceutical industries, environmental agencies, academia, and government sectors. Many students also pursue higher studies.

Q10. Does the School maintain a good student–faculty ratio?

Yes, SBAS maintains an optimal student–faculty ratio to ensure effective mentoring, personalized attention, and quality teaching.

Q11. Are hostel facilities available?

Yes, hostel facilities are available for students on a sharing basis, subject to availability and university policies.

Q12. How does SBAS ensure quality education and continuous improvement?

The School follows outcome-based education, regular feedback mechanisms, academic audits, and quality assurance practices in line with NAAC standards to ensure continuous improvement.

Q13. Is participation in co-curricular and extension activities encouraged?

Yes, students actively participate in extension activities, community outreach programmes, environmental awareness initiatives, and scientific events to promote holistic development.

Q14. What is the admission process for SBAS programmes?

Admissions are based on merit in qualifying examinations followed by counselling as per university norms. Updated information is available on the official website.

Q15. When do admissions typically begin?

Admissions generally commence between May and July each academic year. Applicants should regularly check the university website for current updates.

Admission

Grievances Redresell

More Links

Happenings

Useful Links

SGRR University

Patel Nagar / Pathribagh Campus

SGRR University (Kotdwar Campus)

Padampur

Toll-Free : 1800 120 102 102

+91-7248889111, 7248889112

© 2026 Shri Guru Ram Rai University | All Rights Reserved | Website Developed by IT Section SMIH

Website Disclaimer: The content provided on this website, including information about academic programs, admissions, tuition fees, and campus facilities, is intended for general informational purposes only. While every effort is made to ensure accuracy, SGRR University reserves the right to make changes or updates to programs, policies, and procedures without prior notice. The university does not guarantee that all courses or programs mentioned will be available at all times. Enrollment in specific programs may be limited based on availability and other factors. Users are encouraged to consult with the relevant university departments for the most up-to-date information. SGRR University is not responsible for any errors or omissions in the content of this site and is not liable for any damages arising from the use or reliance on the information provided. External links provided on the website are for convenience only, and the university does not endorse or take responsibility for the content on these third-party sites.

Date Sheet for Theory and Practical of MBBS 1st Professional Exams
Admission Query