E-mail: prakashn@nitt.edu
Functional Analysis
Best Approximation Theory
Geometry of Banach spaces
| 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 |
| Examination | Board / 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 | Bharathidasan University | 2007 | First | Mathematics |
| Position | Faculty/Department/Centre/Institution | From | To |
|---|---|---|---|
| Warden | Institute | 25-01-2020 | 23-11- 2021 |
| CSAB-2019 Working Committee Member | Central Seat Allocation Board (CSAB-2019) - NITT | 13-06-2019 | 02-04-2020 |
| Coordinator - Budget and Purchase Committee | Department of Mathematics, NITT | 12-02-2020 | 31-03-2023 |
| Executive Member - Welfare Committee | Department of Mathematics, NITT | 12-02-2020 | 31-03-2023 |
| Year of Award | Name of the Award | Awarding Organization |
|---|---|---|
| 2010 | UGC-JRF | CSIR-UGC |
| Year of Award | Name of the Fellowship | Awarding Organization | From (Month/Year) | To (Month/Year) |
|---|---|---|---|---|
| 2019 | Post-Doctoral Fellowship | National Board for Higher Mathematics (NBHM) | - | - |
| 2013 | Senior Research Fellowship (SRF) | UGC | July 2013 | June 2014 |
| 2011 | Junior Research Fellowship (JRF) | UGC | July 2011 | June 2013 |
| 2010 | Ph.D. Research Fellowship | Pondicherry Central University | August 2010 | June 2011 |
| 2009 | M.Phil Research Fellowship | Pondicherry Central University | July 2009 | May 2010 |
| 2011 | GATE | IIT Madras | - | - |
| 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 |
K.V. Sangeetha (Completed in 2024)
M. Vimal Kumar (September 2021 - ongoing)
S. Muthu Kumar (July 2023 - ongoing)
[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)
[MAIR22] Complex Analysis and Differential Equations (Jan 2022, Jan 2024)
[MAIR31] Transforms, Special Functions and PDE (July 2017)
[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)
[MA703] Linear Algebra (July 2019)
[MA702] Algebra (Jan 2020)
[MA713] Functional Analysis (July 2020, July 2021, July 2022, July 2023)
[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)
| Date (s) | Title of Activity | Level of Event (International/ National/ Local) | Role (Participant/ Speaker/ Chairperson, Paper presenter, Any other) | Event Organized by | Venue |
|---|---|---|---|---|---|
| February 14, 2024 | International Conference on New Ideas in Technology and Innovations | International | Speaker | Cauvery College for Women | Tiruchirappalli |
| 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 |
| December 11-22, 2023 | Advanced Training School on Functional Analysis for Research Scholars and Teachers | National | Speaker (6 Lectures) | IIT Tirupati | Tirupati |
| October 26, 2023 | Workshop on Applications of Mathematics in Engineering | National | Speaker | Dhanalakshmi Srinivasan University | Samayapuram, Tiruchirappalli |
| September 25-27, 2023 | Workshop on Problem Solving in Analysis, Algebra and Differential Equations | National | Speaker | St. Joseph's College | Tiruchirappalli |
| April 17-21, 2023 | FDP on Functional Analysis | National | Speaker | VIT Chennai | Chennai |
| December 20-22, 2022 | Workshop on Problem Solving in Algebra and Analysis | National | Speaker | St. Joseph's College | Tiruchirappalli |
| September 29-October 3, 2022 | Mathematics Workshop for Undergraduate Students | National | Speaker | NIT Puducherry | NIT Puducherry |
| May 11-15, 2020 | Training programme on “E-content Development” | Local | Participant | NITTTR, Chennai | Online |
| January 09-12, 2020 | International Conference on Algebra, Analysis and their Applications | International | Speaker | Madurai Kamaraj University | Madurai |
| May 15-19, 2019 | Short term course on “Numerical Analysis using Matlab” | National | Participant | NIT Tiruchirappalli | NIT Tiruchirappalli |
| June 21- 23, 2018 | Faculty Development Programme on “Teaching” | Local | Participant | IIT Madras | NIT Tiruchirappalli |
| February 25-26, 2016 | Recent Developments in Mathematical Analysis and its Applications | National | Paper presenter | Pondicherry University | Puducherry |
| August 27-28, 2015 | Modern Trends in Mathematical Analysis and Applications | National | Paper presenter | Sri Akilandeswari Women’s College | Wandiwash, Thiruvannamalai (DT) |
| February 13-14, 2014 | Algebraic Geometry and Lie Groups | National | Participant | Pondicherry University | Puducherry |
| January 27-28, 2014 | Recent Advances in Numerical Methods and its Applications | National | Participant | Pondicherry University | Puducherry |
| December 16-20, 2013 | IWOTA 2013 | International | Participant | IISc Bangalore | Bangalore |
| March 4-16, 2013 | Instructional School for Lecturers on Functional Analysis | National | Participant | ISI Bangalore | Bangalore |
| October 4-5, 2012 | Fuzzy Soft Computing Mathematical Analysis | National | Participant | Pondicherry University | Puducherry |
| January 30-31, 2012 | Number Theory and Cryptography | National | Participant | Pondicherry University | Puducherry |
| January 9-12, 2012 | Geometry of Banach spaces and Best Approximation Problems | International | Participant | Pondicherry University | Puducherry |
| December 19-20, 2011 | Algebra | International | Participant | Pondicherry University | Puducherry |
| November 28, 2011 | Modern Mathematics | National | Participant | Pondicherry University | Puducherry |
| February 7-9, 2011 | Graph Theory | National | Participant | Pondicherry University | Puducherry |
| September 2-3, 2010 | Non-Commutative Rings & Combinatorial Representation Theory | International | Participant | Pondicherry University | Puducherry |
| August 12-17, 2010 | ICM-2010 Satellite – Conference on Integrable Systems and Geometry | International | Participant | Pondicherry University | Puducherry |
| December 18-19, 2009 | Analysis of PDE | National | Participant | Pondicherry University | Puducherry |
| December 3-27, 2008 | Annual Foundation School in Mathematics-I | National | Participant | Panjab University | Chandigarh, Panjab |
| 16th June to 4th July 2008 | Summer Programme in Mathematics | National | Participant | Harish-Chandra Research Institute, Allahabad. | Allahabad, U.P. |
| April 3-5, 2008 | Lecture-Workshop in Mathematics | National | Participant | Pondicherry University | Puducherry |
| March 14, 2008 | Algebra & Analysis | National | Participant | Pondicherry University | Puducherry |
| Title of Activity | Level of Event (International/ National/ Local) | Date (s) | Role | Venue |
|---|---|---|---|---|
| Five Days National Workshop on Algebra and Analysis | National | 22-26, May 2023 | Coordinator | NIT Tiruchirappalli |
| Five Days National Level Workshop on Algebra, Analysis and Differential Equations | National | 14-18, June 2021 | Coordinator | NIT Tiruchirappalli |
| National Conference on Mathematical Analysis and Applications | National | 23-24, April 2021 | Secretary | NIT Tiruchirappalli |
| International Workshop and Conference on Mathematical Analysis and Computation | International | 02-06, December 2019 | Secretary | NIT Tiruchirappalli |
| Topic | Date | Inviting Organization |
|---|---|---|
| Strict convexity and smoothness of Banach spaces | December 11-22, 2023 | IIT Tirupati |
| Problem Solving in Analysis | September 25-27, 2023 | St. Joseph's College, Tiruchirappalli |
| Problem Solving in Real Analysis | 21-12-2022 | St. Joseph's College, Tiruchirappalli |
| Basics of Real Analysis | 03-10-2022 | National Institute of Technology Puducherry |
| Ball proximinal subspaces of Banach spaces | 28-05-2021 | Sree Sevugan Annamalai College, Devakottai |
| Poitwise and Uniform Convergence of Sequence of Functions | 11-03-2021 | Rajah Serfoji Government College, Thanjavur |
| Problem Solving in Algebra and Analysis | 07-01-2020 | PSGR Krishnammal College for Women, Coimbatore |
| Applications of Hahn-Banach Theorem in Approximation Theory | 19-03-2020 | Rajah Serfoji Government College, Thanjavur |
| Awareness on SET/CSIR Examinations for Mathematics | 26-03-2019 | Khadir Mohideen College, Adirampattinam |
| Fixed Point Theorems | 03-10-2016 | Thiruvalluvar Govt. Arts College, Rasipuram |
(A) Refereed Research Journals:
| Author(s) | Title of Paper | Journal | Volume (No.) | Page numbers | Year | Impact Factor of the Journal (Optional) |
|---|---|---|---|---|---|---|
| V. Indumathi, N. Prakash | Ball proximinal and strongly ball proximinal hyperplanes | Journal of Approximation Theory | 172 | 37-46 | 2013 | 0.993 |
| V. Indumathi, N. Prakash | E-proximinal subspaces | Journal of Mathematical Analysis and Applications | 450 | 1-11 | 2017 | 1.417 |
| 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 | 1.042 |
| N.Prakash | Stability of E-proximinality | Palestine Journal of Mathematics | 11(1) | 524-530 | 2022 | |
| N.Prakash, K.V. Sangeetha | Best Approximative Properties of Exposed Faces | Journal of Convex Analysis | 29(3) | 731-747 | 2022 | 0.853 |
| N.Prakash, K.V. Sangeetha | Proximinal faces of some Banach spaces | Annals of Functional Analysis | 14 | Published online | 2023 | DOI: https://doi.org/10.1007/s43034-023-00261-5 |
| N.Prakash, K.V. Sangeetha | Strong Proximinality of Exposed Faces of C0(T) | The Journal of Analysis | 31 | 2877-2888 | 2023 | 0.8 |
| M.Vimal Kumar, N.Prakash | Polyhedral points, QP-points and Q-points | Rendiconti del Circolo Matematico di Palermo Series 2 | 73 | 651-661 | 2024 | 1 |
(B) Conferences/Workshops/Symposia Proceedings
| Author(s) | Title of Abstract/ Paper | Title of the Proceedings | Page numbers | Conference Theme | Venue | Year |
|---|---|---|---|---|---|---|
| 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 |
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Department of Mathematics,
Room No. 218, Lyceum Building,
National Institute of Technology Tiruchirappalli,
Tiruchirappalli - 620 015, Tamil Nadu, India.
