Doctor of Philosophy
Programme Overview
The Department of Mathematics offers a doctoral degree in Mathematics with six-month rigorous course-work. The faculty members provide research guidance in the recent and emerging areas of all broad areas of Mathematics. Ph.D. programme in Mathematics equips the candidate with comprehensive knowledge, amplifying their analytical, critical thinking and research skills.
The periodic research scholar seminars, paper presentations, conferences and workshops enable the research scholars to interact with eminent scientists and mathematicians from India and abroad. The duration of the programme is about three to five years.
Structure of the Programme
The courses MATH21-R01 Research Methodology and MATH21-R02 Research and Publication Ethics are compulsory. Apart from this, a research scholar is required to study any of the three courses from the nine courses MATH21-R03 to MATH21-R11. Total credits of the coursework is 16.
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Course No.
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Course Name
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MATH21-R01
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Research Methodology
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MATH21-R02
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Research and Publication Ethics
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MATH21-R03
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Advanced Commutative Algebra
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MATH21-R04
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Topics in Analysis
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MATH21-R05
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Advanced Functional Analysis
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MATH21-R06
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Topology and Mixing
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MATH21-R07
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Convex and Non smooth Analysis
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MATH21-R08
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Hyperbolic System of Conservation Laws and Boundary Layer Theory
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MATH21-R09
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Partial Differential Equations: Theory and Numerics
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MATH21-R010
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Ergodic Theory
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MATH21-R011
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Introduction to Minimal Surfaces
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Guidelines
- For Ph.D. research scholars registered between July 11, 2009 and July 04, 2016 (from post-course work to award of degree. Link
- For M.Phil./Ph.D. research scholars registered on or after July 05, 2016 (from registration to award of degree). Link
- For similarity detection and plagiarism verification of M.Phil. Dissertation/Ph.D. Thesis. Link | Forms
- Research paper requirement for submission of a PhD thesis (effective from 2023- 24 batch): A Ph.D. scholar should publish at least TWO research papers in journals which are SCIE Journals and which do not have mandatory Article Processing Charges (APC). Out of these two SCIE Journal Publications, at least one of them should be abstracted / indexed in the MathSciNet. Documentary evidence of the same duly attested by the supervisor must be submitted.
Syllabus
Attendance
Research scholars shall be required to attend lectures (coursework) and participate in seminars arranged in the department during the programme. The minimum percentage of lectures to be attended during the coursework will be two-thirds of the lectures delivered in all courses, individually.
Department of Mathematics
Faculty of Mathematical Sciences
Guru Tegh Bahadur Road, University of Delhi,
Delhi 110 007, India
+91-11-27666658
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