Dr. N. Prakash

 

 

E-mail: prakashn@nitt.edu

Research Interests

  • Functional Analysis

  • Best Approximation Theory

  • Geometry of Banach spaces

  • Linear Algebra

Employment Profile

Job Title Employer From To
Assistant Professor Grade-I National Institute of Technology Tiruchirappalli September 2022 Till date
Assistant Professor Grade-II National Institute of Technology Tiruchirappalli March 2018 September 2022
Temporary Faculty National Institute of Technology Tiruchirappalli July 2017 March 2018
Assistant Professor (On Contract) Central University of Tamil Nadu July 2014 May 2017

Academic Qualifications

Examination College / University Year Division/ Grade Subjects
Ph.D. Pondicherry Central University 2017 NA Mathematics
M.Phil Pondicherry Central University 2010 First Mathematics
M.Sc Pondicherry Central University 2009 First Mathematics
B.Sc Khadir Mohideen College, Adirampattinam (Affiliated to Bharathidasan University) 2007 First Mathematics

Academic/Administrative Responsibilities within the University

S.No. Position Faculty/Department/Centre/Institution From To
1. Warden Institute  25-01-2020       23-11- 2021   
2. CSAB-2019 Working Committee Member Central Seat Allocation Board (CSAB-2019) - NITT 13-06-2019 02-04-2020
3. Coordinator - Budget and Purchase Committee Department of Mathematics, NITT 12-02-2020 31-03-2023
4. Executive Member - Welfare Committee Department of Mathematics, NITT 12-02-2020 31-03-2023
5. Member - Academic committee (UG,PG) Department of Mathematics, NITT Jan 2023 till date
6. Member - Welfare Committee Department of Mathematics, NITT Jan 2023 till date
7. MIS - Coordinator Department of Mathematics, NITT 09-07-2024 till date

Awards, Associateships etc.

Year of Award Name of the Award Awarding Organization
2010 UGC-JRF CSIR-UGC

Fellowships

S.No. Year of Award Name of the Fellowship Awarding Organization From (Month/Year) To (Month/Year)
1. 2019 Post-Doctoral Fellowship National Board for Higher Mathematics (NBHM) Not Availed -
2. 2013 Senior Research Fellowship (SRF) UGC July 2013 June 2014
3. 2011 Junior Research Fellowship (JRF) UGC July 2011 June 2013
4. 2010 Ph.D. Research Fellowship Pondicherry Central University August 2010 June 2011
5. 2009 M.Phil Research Fellowship Pondicherry Central University July 2009 May 2010
6. 2011 GATE IIT Madras - -

Details of Academic Work

  • Curriculum Development: Designed the syllabus for M.Sc Mathematics program of NITT for the courses Real Analysis, Lebesgue Measure Theory, Functional Analysis and Topology.
  • Projects guided at Postgraduate level:
  • S. No. Title of the Thesis Name of the Student Year
    1. Best Approximation From Convex Cones                           Vimal Kumar M 2021
    2. Some Geometric Properties of the Unit Sphere of Banach spaces Preethi Kumari 2022
    3. Some Results on the Number of Group Homomorphisms Suresh Chand Meena 2022
    4. Birkhoff-James Orthogonality of Linear Operators Suman Kalyan Chowdhury 2023
    5. Numerical Radius Inequalities for Hilbert space Operators Keya Bera 2024
    6. On the existence of best proximity points with an application in Game theory Joyantika Das 2025
    7. Existence and Convergence of Best Proximity Points Masud Ajhar 2025

Ph.D. Students

1. K.V. Sangeetha (Completed in 2024)

2. M. Vimal Kumar (Completed in 2026)

3. S. Muthu Kumar (July 2023 - ongoing)

4. Joyantika Das (July 2025 - ongoing)

Courses Taught

UG Level

  • [MAIR11] Mathematics - I (July 2017, July 2018)

  • [MAIR11] Matrices and Calculus (July 2019, July 2021, July 2022)

  • [MAIR12] Linear Algebra and Calculus (July 2020)

  • [MAIR21] Mathematics - II (Jan 2018, Jan 2019)

  • [MAIR21] Complex Analysis and Differential Equations (Jan 2020, Jan 2021, Jan 2025, Jan 2026)

  • [MAIR22] Complex Analysis and Differential Equations (Jan 2022, Jan 2024)

  • [MAIR31] Transforms, Special Functions and PDE (July 2017)

  • [MAIR32] Fourier Transforms and Numerical Techniques (July 2024, July 2025)

  • [MAIR33] Real Analysis and Probability Theory (July 2023)

  • [MAIR43] Fourier Transforms and Numerical Techniques (Jan 2021)

  • [MAIR47] Probability and Statistics (Jan 2019)

  • [MAIR42] Probability and Numerical Techniques (Jan 2023)

PG Level

  • [MA703] Linear Algebra (July 2019)

  • [MA702] Algebra (Jan 2020)

  • [MA713] Functional Analysis (July 2020, July 2021, July 2022, July 2023, July 2024, July 2025)

  • [MA751] Applied Mathematics (July 2017)

  • [MA851] Applied Mathematics (July 2018, Jan 2019, July 2020, July 2021, July 2022, Jan 2024)

  • [MA857] Approximation Theory (July 2019, July 2021, July 2023)

  • [MA858] Convex Analysis (July 2019, July 2021, July 2023)

Participation in Workshops/ Symposia/ Conferences/ Colloquia /Seminars/ Schools etc. (mentioning the role)

S.No. Date (s) Title of Activity Level of Event (International/ National/ Local) Role (Participant/ Speaker/ Chairperson, Paper presenter, Any other) Event Organized by Venue
1. February 14, 2024 International Conference on New Ideas in Technology and Innovations International Speaker Cauvery College for Women Tiruchirappalli
2. February 03, 2024 National level Workshop on Effective Methodology and Techniques for CSIR-NET Mathematical Sciences National Speaker Swamy Dayananda College of Arts and Science  Manjakkudi, Tiruvarur
3. December 11-22, 2023 Advanced Training School on Functional Analysis for Research Scholars and Teachers National Speaker (6 Lectures) IIT Tirupati Tirupati
4. October 26, 2023 Workshop on Applications of Mathematics in Engineering National Speaker Dhanalakshmi Srinivasan University Samayapuram, Tiruchirappalli
5. September 25-27, 2023 Workshop on Problem Solving in Analysis, Algebra and Differential Equations National Speaker St. Joseph's College Tiruchirappalli
6. April 17-21, 2023 FDP on Functional Analysis National Speaker VIT Chennai Chennai
7. December 20-22, 2022 Workshop on Problem Solving in Algebra and Analysis National Speaker St. Joseph's College Tiruchirappalli
8. September 29-October 3, 2022 Mathematics Workshop for Undergraduate Students National Speaker NIT Puducherry NIT Puducherry
9. May 11-15, 2020 Training programme on “E-content Development” Local Participant NITTTR, Chennai Online
10. January 09-12, 2020 International Conference on Algebra, Analysis and their Applications International Speaker Madurai Kamaraj University Madurai
11. May 15-19, 2019 Short term course on “Numerical Analysis using Matlab” National Participant NIT Tiruchirappalli NIT Tiruchirappalli
12. June 21- 23, 2018 Faculty Development Programme on “Teaching” Local Participant IIT Madras NIT Tiruchirappalli
13. February 25-26, 2016 Recent Developments in Mathematical Analysis and its Applications National Paper presenter Pondicherry University Puducherry
14. August 27-28, 2015 Modern Trends in Mathematical Analysis and Applications National Paper presenter Sri Akilandeswari Women’s College Wandiwash, Thiruvannamalai (DT)
15. February 13-14, 2014 Algebraic Geometry and Lie Groups National Participant Pondicherry University Puducherry
16. January 27-28, 2014 Recent Advances in Numerical Methods and its Applications National Participant Pondicherry University Puducherry
17. December 16-20, 2013 IWOTA 2013 International Participant IISc Bangalore Bangalore
18. March 4-16, 2013 Instructional School for Lecturers on Functional Analysis National Participant ISI Bangalore Bangalore
19. October 4-5, 2012 Fuzzy Soft Computing Mathematical Analysis National Participant Pondicherry University Puducherry
20. January 30-31, 2012 Number Theory and Cryptography National Participant Pondicherry University Puducherry
21 January 9-12, 2012 Geometry of Banach spaces and Best Approximation Problems International Participant Pondicherry University Puducherry
22. December 19-20, 2011 Algebra International Participant Pondicherry University Puducherry
23. November 28, 2011 Modern Mathematics National Participant Pondicherry University Puducherry
24. February 7-9, 2011 Graph Theory National Participant Pondicherry University Puducherry
25. September 2-3, 2010 Non-Commutative Rings & Combinatorial Representation Theory International Participant Pondicherry University Puducherry
26. August 12-17, 2010 ICM-2010 Satellite – Conference on Integrable Systems and Geometry International Participant Pondicherry University Puducherry
27. December 18-19, 2009 Analysis of PDE National Participant Pondicherry University Puducherry
28. December 3-27, 2008 Annual Foundation School in Mathematics-I National Participant Panjab University Chandigarh, Panjab
29. 16th June to 4th July 2008 Summer Programme in Mathematics National Participant Harish-Chandra Research Institute, Allahabad. Allahabad, U.P.
30. April 3-5, 2008 Lecture-Workshop in Mathematics National Participant Pondicherry University Puducherry
31. March 14, 2008 Algebra & Analysis National Participant Pondicherry University Puducherry

Workshops/ Symposia/ Conferences/ Colloquia/Seminars Organized (as Chairman/ Organizing Secretary/ Convenor / Co-Convenor)

S.No. Title of Activity Level of Event (International/ National/ Local) Date (s) Role Venue
1. Five Days National Workshop on Algebra and Analysis National 16-20, December 2024 Coordinator NIT Tiruchirappalli
2. Five Days National Workshop on Algebra and Analysis National 22-26, May 2023 Coordinator NIT Tiruchirappalli
3. Five Days National Level Workshop on Algebra, Analysis and Differential  Equations National 14-18, June 2021 Coordinator  NIT Tiruchirappalli    
4. National Conference on Mathematical Analysis and Applications National 23-24, April 2021 Secretary NIT Tiruchirappalli
5. International Workshop and Conference on Mathematical Analysis and Computation International 02-06, December 2019 Secretary NIT Tiruchirappalli

Invited Talks delivered

S. No. Topic Date Inviting Organization
1. Problem Solving in Real Analysis 18-02-2025 Holy Cross College, Tiruchirappalli
2. Strict convexity and smoothness of Banach spaces December 11-22, 2023 IIT Tirupati
3. Problem Solving in Analysis September 25-27, 2023 St. Joseph's College, Tiruchirappalli
4. Problem Solving in Real Analysis 21-12-2022 St. Joseph's College, Tiruchirappalli
5 Basics of Real Analysis 03-10-2022 National Institute of Technology Puducherry
6. Ball proximinal subspaces of Banach spaces 28-05-2021 Sree Sevugan Annamalai College, Devakottai
7. Poitwise and Uniform Convergence of Sequence of Functions 11-03-2021 Rajah Serfoji Government College, Thanjavur
8. Problem Solving in Algebra and Analysis 07-01-2020 PSGR Krishnammal College for Women, Coimbatore
9. Applications of Hahn-Banach Theorem in Approximation Theory 19-03-2020 Rajah Serfoji Government College, Thanjavur
10. Awareness on SET/CSIR Examinations for Mathematics 26-03-2019 Khadir Mohideen College, Adirampattinam
11. Fixed Point Theorems 03-10-2016 Thiruvalluvar Govt. Arts College, Rasipuram

Publications

(A) Refereed Research Journals:

S.No. Author(s) Title of Paper Journal Volume (No.) Page numbers Year
1. V. Indumathi, N. Prakash Ball proximinal and strongly ball proximinal hyperplanes Journal of Approximation Theory 172 37-46 2013
2. V. Indumathi, N. Prakash E-proximinal subspaces Journal of Mathematical Analysis and Applications 450 1-11 2017
3. V. Indumathi, N. Prakash Local Uniform Strong Proximinality of the Space of Continuous Vector-Valued Functions Numerical Functional Analysis and Optimization 38(8) 1014-1023 2017
4. N.Prakash Stability of E-proximinality Palestine Journal of Mathematics 11(1) 524-530 2022
5. N.Prakash, K.V. Sangeetha Best Approximative Properties of Exposed Faces Journal of Convex Analysis 29(3) 731-747 2022
6. N.Prakash, K.V. Sangeetha Proximinal faces of some Banach spaces Annals of Functional Analysis 14(2) Article No.37 2023
7. N.Prakash, K.V. Sangeetha Strong Proximinality of Exposed Faces of C0(T) The Journal of Analysis 31(4) 2877-2888 2023
8. M.Vimal Kumar, N.Prakash Polyhedral points, QP-points and Q-points Rendiconti del Circolo Matematico di Palermo Series 2 73(2) 651-661 2024
9. N.Prakash, M.Vimal Kumar Quasi-Polyhedral Convex Bodies in Locally Convex Spaces Journal of the Ramanujan Mathematical Society 40(4) 421-432 2025

(B) Conferences/Workshops/Symposia Proceedings

S.No. Author(s) Title of Abstract/ Paper Title of the Proceedings Page numbers Conference Theme Venue Year
1. N. Prakash E-proximinality in l∞-direct sum of two Banach spaces National Level Conference on Modern Trends in Mathematical Analysis and Applications 459-464 Mathematical Analysis and Applications Sri Akilandeswari Women's College, Wandiwash, Thiruvannamalai (DT), Tamil Nadu 2015

Other Profiles

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Office 

Department of Mathematics,

Room No. 218, Lyceum Building,

National Institute of Technology Tiruchirappalli,

Tiruchirappalli - 620 015, Tamil Nadu, India.