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Tata Institute of Fundamental Research Tata Institute of Fundamental Research NAAC Self-Study Report, 2016 VOLUME 2 VOLUME 2 1 Departments, Schools, Research Centres and Campuses School of Technology and School of Mathematics Computer Science (STCS) School of Natural Sciences Chemical Sciences Astronomy and (DCS) Main Campus Astrophysics (DAA) Biological (Colaba) High Energy Physics Sciences (DBS) (DHEP) Nuclear and Atomic Condensed Matter Physics (DNAP) Physics & Materials Theoretical Physics (DTP) Science (DCMPMS) Mumbai Homi Bhabha Centre for Science Education (HBCSE) Pune National Centre for Radio Astrophysics (NCRA) Bengaluru National Centre for Biological Sciences (NCBS) International Centre for Theoretical Sciences (ICTS) Centre for Applicable Mathematics (CAM) Hyderabad TIFR Centre for Interdisciplinary Sciences (TCIS) VOLUME 2 2 SECTION B3 Evaluative Report of Departments (Main Campus) VOLUME 2 3 Index VOLUME 1 A-Executive Summary B1-Profile of the TIFR Deemed University B1-1 B1-Annexures B1-A-Notification Annex B1-A B1-B-DAE National Centre Annex B1-B B1-C-Gazette 1957 Annex B1-C B1-D-Infrastructure Annex B1-D B1-E-Field Stations Annex B1-E B1-F-UGC Review Annex B1-F B1-G-Compliance Annex B1-G B2-Criteria-wise inputs B2-I-Curricular B2-I-1 B2-II-Teaching B2-II-1 B2-III-Research B2-III-1 B2-IV-Infrastructure B2-IV-1 B2-V-Student Support B2-V-1 B2-VI-Governance B2-VI-1 B2-VII-Innovations B2-VII-1 B2-Annexures B2-A-Patents Annex B2-A B2-B-Ethics Annex B2-B B2-C-IPR Annex B2-C B2-D-MOUs Annex B2-D B2-E-Council of Management Annex B2-E B2-F-Academic Council and Subject Boards Annex B2-F B2-G-Cases Annex B2-G B2-H-Accounts Annex B2-H B4-Declaration by the Head of the Institution B4-1 VOLUME 2 4 VOLUME 2 B3-Evaluative Report of Departments (Main Campus) B3-I-Mathematics B3-I-1 B3-II- Department of Astronomy and Astrophysics (DAA) B3-II-1 B3-III-Department of Biological Sciences (DBS) B3-III-1 B3-IV-Department of Chemical Sciences (DCS) B3-IV-1 B3-V-Department of Condensed Matter Physics and Materials B3-V-1 Science (DCMPMS) B3-VI-Department of High Energy Physics (DHEP) B3-VI-1 B3-VII-Department of Nuclear and Atomic Physics (DNAP) B3-VII-1 B3-VIII-Department of Theoretical Physics (DTP) B3-VIII-1 B3-IX- School of Technology and Computer Science (STCS) B3-IX-1 VOLUME 3 B3-Evaluative Report of Departments (Research Centres) B3-X-Homi Bhabha Centre for Science Education (HBCSE) B3-X-1 B3-XI-National Centre for Radio Astrophysics (NCRA) B3-XI-1 B3-XII-National Centre for Biological Sciences (NCBS) B3-XII-1 B3-XIII-Centre for Applicable Mathematics (CAM) B3-XIII-1 B3-XIV-International Centre for Theoretical Sciences (ICTS) B3-XIV-1 B3-XV-TIFR Centre for Interdisciplinary Sciences (TCIS) B3-XV-1 VOLUME 2 5 Abbreviations BF Balloon Facility, TIFR CAM Centre for Applicable Mathematics, TIFR CCCF Computer Centre and Communication Facility, TIFR CRL Cosmic Ray Laboratory, TIFR CSIR Council of Scientific and Industrial Research, Govt. of India DAA Department of Astronomy and Astrophysics, TIFR DAE Department of Atomic Energy, Govt. of India DBS Department of Biological Sciences, TIFR DBT Department of Biotechnology, Govt. of India DCMPMS Department of Condensed Matter Physics and Materials Science, TIFR DCS Department of Chemical Sciences, TIFR DHEP Department of High Energy Physics, TIFR DNAP Department of Nuclear and Atomic Physics, TIFR DST Department of Science and Technology, Govt. of India DTP Department of Theoretical Physics, TIFR GMRT Giant Metrewave Radio Telescope, TIFR GRIHA Green Buildings Rating System India HBCSE Homi Bhabha Centre for Science Education, TIFR ICTS International Centre for Theoretical Sciences, TIFR I-Ph.D. Integrated-M.Sc.-Ph.D programme, TIFR IQAC Internal Quality Assurance Cell NAAC National Assessment and Accreditation Council NCBS National Centre for Biological Sciences, TIFR NCRA National Centre for Radio Astrophysics, TIFR RAC Radio Astronomy Centre, TIFR SIRC Scientific Information Resource Centre, TIFR STCS School of Technology and Computer Science, TIFR TCIS TIFR Centre for Interdisciplinary Sciences TIFR Tata Institute of Fundamental Research UGC University Grants Commission, Govt. of India VOLUME 2 6 B3-I School of Mathematics (Math) VOLUME 2 7 VOLUME 2 8 Evaluative Report of Departments (B3) I-Math-1 School of Mathematics 1. Name of the Department : School of Mathematics (Math) 2. Year of establishment : 1945 3. Is the Department part of a School/Faculty of the university? It is an entire School. 4. Names of programmes offered (UG, PG, M.Phil., Ph.D., Integrated Masters; Integrated Ph.D., D. Sc, D. Litt, etc.) 1. Ph.D. 2. Integrated M.Sc.-Ph.D. The minimum eligibility criterion for admission to the Ph.D. programme is a Master's degree in any of Mathematics/Statistics/Science/Technology (M.A. / M.Sc. / M. Math / M. Stat / M.E. / M. Tech.). The minimum eligibility criterion for admission to the Integrated Ph.D. programme is a Bachelor's degree in any of Mathematics/Statistics/Science/Technology (B.A. / B.Sc. / B. Math. / B. Stat. / B.E. / B. Tech.). Students without a Master's degree will generally be admitted to the Integrated Ph.D. program and will obtain an M.Sc. degree along the way subject to the completion of all requirements. Students with a four-year Bachelor's degree may be considered for admission to the Ph.D. Programme. 5. Interdisciplinary programmes and departments involved None 6. Courses in collaboration with other universities, industries, foreign institutions, etc. None TIFR NAAC Self-Study Report 2016 VOLUME 2 9 I-Math-2 Evaluative Report of Departments (B3) 7. Details of programmes discontinued, if any, with reasons There are no such programmes. 8. Examination System: Annual/Semester/Trimester/Choice Based Credit System There is an evaluation at the end of each semester course, based on assignments and written examinations, and an annual evaluation of courses based on an interview. 9. Participation of the department in the courses offered by other departments NA 10. Number of faculty positions: Faculty Designation with DAE Grade Abbreviation (Item 11) Number 1. Distinguished Professor Dist. Prof -- 2. Senior Professor (I) Sr. Professor (I) 4 3. Professor (H) -- 11 4. Associate Professor (G) Assoc. Professor (G) 9 5. Reader (F) -- 3 6. Others -- 2 Total 29 11. Faculty profile with name, qualification, designation, area of specialization, experience and research under guidance Name Deg* Designation Specialization Exp† Stu‡ A. J. Parameswaran Ph. D. Singular theory, Topology 25 - 1. Professor (H) of open surfaces A. Ph. D. 26 1 2. Professor (H) Number theory Sankaranarayanan Amalendu Krishna Ph. D. Associate Algebraic cycles and K- 15 2 3. Professor (G) theory Amitava Ph. D. 16 2 4. Reader (F) Combinatorics Bhattacharya TIFR NAAC Self-Study Report 2016 VOLUME 2 10 Evaluative Report of Departments (B3) I-Math-3 Name Deg* Designation Specialization Exp† Stu‡ Anish Ghosh Ph. D. Associate Ergodic Theory and 10 2 5. Professor (G) Number Theory Arvind N. Nair Ph. D. Associate Lie groups and 19 1 6. Professor (G) representation theory 7. C.S. Rajan Ph. D. Professor (H) Number theory 23 1 Dipendra Prasad Ph. D. Senior 27 2 8. Number theory Professor (I) Eknath Ghate Ph. D. Number theory, 19 2 9. Professor (H) automorphic forms and L- functions Indranil Biswas Ph. D. Senior 23 2 10. Vector Bundles Professor (I) J. Sengupta Ph. D. Modular forms, harmonic 30 - 11. Professor (H) analysis on symmetric spaces 12. Mahan MJ Ph. D. Professor (H) Topology/Geometry 19 3 N. Fakhruddin Ph. D. Associate 21 - 13. Algebraic Geometry Professor (G) N. Saradha Ph. D. Number theory, 32 1 14. Professor (H) exponential Diophantine equations Nitin Nitsure Ph. D. Algebraic Geometry, 29 1 15. Professor (H) Vector bundles, D-modules Radhika Ganapathy Ph. D. 4 - 16. Reader (E) Representation Theory Raja Sridharan Ph. D. Associate Projective modules and 21 - 17. Professor (G) complete intersections 18. Ravi. A. Rao Ph. D. Professor (H) Classical algebraic K-theory 32 1 Ritabrata Munshi Ph. D. Associate 10 - 19. Number Theory Professor (G) S. E. Rao Ph. D. Representation of toroidal 28 - 20. Professor (H) Lie algebras S. K. Roushon Ph. D. Associate 19 - 21. Topology Professor (G) 22. S. Subramanian Ph. D. Professor (H) Algebraic Geometry 27 - 23. Sandeep Varma Ph. D. Reader (F) Representation Theory 7 - Siddharth Ph. D. 16 - 24. Reader (F) Ergodic theory Bhattacharya T. N. Ph. D. Senior Liegroups and arithmetics 26 2 25. Venkataramana Professor (I) groups 26. Tanmay Deshpande Ph. D. Reader (E) Representation Theory 5 - 27. V. Srinivas Ph. D. Senior Algebraic cycles and K- 33 4 TIFR NAAC Self-Study Report 2016 VOLUME 2 11 I-Math-4 Evaluative Report of Departments (B3) Name Deg* Designation Specialization Exp† Stu‡ Professor (I) theory V. Trivedi Ph. D. Hilbert-Samuel functions, 20 1 Associate Frobenius splitting, Hilbert- 28. Professor (G) Kunz function and multiplicity Yogish Holla Ph. D. Associate 14 1 29. Vector bundles Professor (G) * Highest degree obtained † Years of Experience as a regular Faculty Member (TIFR and elsewhere) ‡ Ph.D. students guided within the last 4 years (including those joined and those graduated) 12. List of senior Visiting Fellows, adjunct faculty, emeritus professors (a) List of Visiting Fellows 1. Ambily A A 2. Chetan Balwe 3. Romie Banerjee 4. Saurav Bhaumik 5. Saikat Chatterjee 6. Seshadri Chintapalli 7. Anisha Chorwadwala 8. Emre Coskun 9. Soumya Das 10. Umesh Dubey 11. Shane D'Mello 12. Abhik Ganguli 13. Thomas G. Gotsbacher 14. Neena Gupta TIFR NAAC Self-Study Report 2016 VOLUME 2 12 Evaluative Report of Departments (B3) I-Math-5 15. Sagar Kolte 16.
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