Dr. N. Prakash

 

 

E-mail: prakashn@nitt.edu

Research Interests

  • Functional Analysis

  • Best Approximation Theory

  • Geometry of Banach spaces

Academic Qualifications

  • Ph.D., Mathematics, Pondicherry University, Puducherry - 605 014, India ( 2017).

  • M.Phil., Mathematics, Pondicherry University, Puducherry - 605 014, India (2010).

  • M.Sc., Mathematics, Pondicherry University, Puducherry - 605 014, India (2009).

  • B.Sc., Mathematics, Bharathidasan University, Tiruchirappalli - 620 024, Tamil Nadu, India (2007).

Teaching Positions

  • Assistant Professor, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tiruchirappalli - 620 015, Tamil Nadu, India  (March 2018 - till date).

  • Temporary Faculty, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tiruchirappalli - 620 015,Tamil Nadu, India (July 2017 -  March 2018).

  • Assistant Professor (on contract), Department of Mathematics, Central University of Tamil Nadu, Thiruvarur - 610 005, Tamil Nadu, India (July 2014 - May 2017).

List of Publications

International SCI Journals

  1. Local Uniform Strong Proximinality of the Space of Continuous Vector-Valued Functions,  V. Indumathi, N. Prakash, Numerical Functional Analysis and Optimization, Taylor & Francis,  Volume 38, Issue 8, Pages 1014-1023,  2017.

  2. E-proximinal subspaces,  V. Indumathi, N. Prakash,  Journal of Mathematical Analysis and Applications, Elsevier,  Volume 450, Pages 1-11, 2017.

  3. Ball proximinal and strongly ball proximinal hyperplanes, V. Indumathi, N. Prakash, Journal of Approximation Theory, Elsevier, Volume 172, Pages 37-46,  2013.

Conference Papers

  1. On a sufficient condition for E-proximinal hyperplane in c,  N. Prakash, National Conference on Recent Developments in Mathematical Analysis and its Applications held at Department of Mathematics of Pondicherry University, Puducherry, during February 25-26, 2016.

  2. E-proximinality in l∞-direct sum of two Banach spaces, N. Prakash, National Level Conference on Modern Trends in Mathematical Analysis and Applications held at Department of Mathematics of Sri Akilandeswari Women's College, Wandiwash, Thiruvannamalai (DT), Tamil Nadu, during August 27-28, 2015.

Fellowships / Awards

  • NBHM Post Doctoral Fellowship (January 2019)

  • UGC - Senior Research Fellowship (July 2013- June 2014)

  • UGC - Junior Research Fellowship (July 2011 – June 2013)

  • GATE 2011

  • Ph.D. Research Fellowship by Pondicherry University 

  • M.Phil Research Fellowship by Pondicherry University

  • CSIR-UGC NET with UGC – JRF in December 2010

Courses Taught

UG Level

  • Calculus - I

  • Calculus - II

  • Analysis - II

  • Algebra - II

  • Mathematics - I (Linear Algebra, Analysis, Calculus)

  • Mathematics – II (Vector Calculus, ODE, Complex Analysis)

  • Transforms, Special Functions and PDE

PG Level

  • Functional Analysis

  • Lebesgue Measure Theory

  • Several Variable Calculus and Differential Geometry

  • Applied Mathematics 

 

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.