Dr. N. Prakash

 

 

E-mail: prakashn@nitt.edu

Research Interests

  • Functional Analysis

  • Best Approximation Theory

  • Geometry of Banach spaces

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 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

Academic/Administrative Responsibilities within the University

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 Till date
Executive Member - Welfare Committee Department of Mathematics, NITT 12-02-2020 Till date

Awards, Associateships etc.

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

Fellowships

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 SRF UGC July 2013 June 2014
2011 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 - -

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

Ph.D. Students

K.V. Sangeetha (January 2019 - ongoing)

M. Vimal Kumar (September 2021 - ongoing)

Courses Taught

UG Level

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

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

  • [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)

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

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

  • [MAIR47] Probability and Statistics (Jan 2019)

PG Level

  • [MA703] Linear Algebra (July 2019)

  • [MA702] Algebra (Jan 2020)

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

  • [MA751] Applied Mathematics (July 2017)

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

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

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

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

Date (s) Title of Activity Level of Event (International/ National/ Local) Role (Participant/ Speaker/ Chairperson, Paper presenter, Any other) Event Organized by Venue
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

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

Title of Activity Level of Event (International/ National/ Local) Date (s) Role Venue
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

Invited Talks delivered

Topic Date Inviting Organization
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

Publications

(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

(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

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.