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JRF in Mathematics

1. About the ISI JRF in Mathematics

The Indian Statistical Institute (ISI) offers Junior Research Fellowships (JRF) in Mathematics, giving students the opportunity to conduct advanced research in areas such as Analysis, Algebra, Geometry, Probability, and Applied Mathematics.Applicants typically:

  • Hold a Master’s degree in Mathematics, or closely related fields.

  • Must qualify through a challenging written examination followed by a research proposal and interview.

  • Face very few available seats, requiring deep conceptual understanding and problem-solving expertise.

The fellowship selection evaluates:

  • Advanced Mathematical Theory and Problem-Solving Skills.

  • Ability to connect abstract concepts to research applications.

  • Research aptitude and proposal presentation skills.

2. What Our Course Includes

Interactive Live Classes

  • Conducted online (Zoom/Skype) and offline (Kolkata & New Delhi centres).

  • Comprehensive coverage of:

    • Real Analysis & Measure Theory

    • Linear Algebra & Abstract Algebra (Groups, Rings, Fields)

    • Complex Analysis & Differential Equations

    • Functional Analysis & Topology

    • Probability Theory & Stochastic Processes

    • Geometry, Number Theory, and Applied Mathematics topics relevant to ISI research

    • Research methodology and academic writing

  • All sessions are recorded, ensuring unlimited revision access.

Research-Oriented Training

  • Advanced topic-specific lectures blending theory with research-style problems.

  • Weekly assignments and ISI-level problem sets to build rigor and speed.

  • Special workshops on research proposal drafting, literature review, and ISI interview preparation.

Mock Test Series

  • Full-length ISI-pattern mock exams covering pure, applied, and probabilistic mathematics.

  • Detailed solutions and personalized progress reports after each test.

  • Mock interviews replicating the fellowship panel experience.

Past-Year Papers & Practice

  • Step-by-step solved solutions for previous ISI JRF Mathematics exams.

  • Additional practice banks on Olympiad-style and research-level problems.

Free Study Materials

  • Notes compiled from ISI references, global mathematics texts, and research sources.

  • Includes theory summaries, solved examples, and practice problems.

  • Free for all enrolled students.

24×7 Doubt Support

  • Quick assistance via WhatsApp, email, or direct calls.

  • One-to-one mentorship sessions for particularly challenging research or theoretical questions.

3. What We Cover (Syllabus Highlights)

  • Real & Complex Analysis – Sequences, Series, Functions, Measure Theory, Analytic Functions.

  • Linear & Abstract Algebra – Groups, Rings, Fields, Vector Spaces, Eigenvalues/Eigenvectors.

  • Topology & Functional Analysis – Metric Spaces, Normed Spaces, Hilbert Spaces.

  • Probability & Stochastic Processes – Random Variables, Convergence, Markov Chains.

  • Differential Equations & Geometry – PDEs, ODEs, Manifolds (basics).

  • Research Skills – Proposal writing, academic presentations, and scientific documentation.

4. Mode of Classes

  • Online – Interactive live sessions with video backups.

  • Offline – Classroom learning at Kolkata & New Delhi centres.

  • Both modes include identical coverage, test series, and mentorship.

5. Why Choose Dr. Sourav Sir’s Classes?

  • Faculty with ISI-level research and teaching expertise in Mathematics.

  • Regular assessments and feedback to ensure steady progress.

  • Specialized guidance for research proposals and ISI interviews.

  • Free, premium-quality study materials and past-paper solutions.

  • Proven record of students securing ISI JRF fellowships every year.

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