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Dr. S. Pitchai Murugan

Assistant Professor, Department of Mathematics, School of Physical Sciences

Qualification: MPhil, MSc, Ph.D
pitchaims@am.amrita.edu
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Research Interest: Wavelet Analysis

Bio

Dr. S. Pitchai Murugan, an Assistant Professor at Amrita Vishwa Vidapeetham since August 2022, previously served as a CSIR-UGC Senior Research Fellow at the Ramanujan Institute for Advanced Study in Mathematics, University of Madras, from January 2019 to November 2021, following a stint as a CSIR-UGC Junior Research Fellow from January 2017 to December 2018.

Qualification

M.Sc., M.Phil., Ph.D., GATE, CSIR-UGC JRF/SRF.

Publications

Journal Article

Year : 2023

Smooth Orthonormal Basis for L^2(R^2) using Smooth Projections on L^2(R^2) Associated With Rectangles in R^2

Cite this Research Publication : S. Pitchai Murugan and G. P. Youvaraj, Smooth Orthonormal Basis for L^2(R^2) using Smooth Projections on L^2(R^2) Associated With Rectangles in R^2. The journal of Analysis.

Publisher : Springer

Year : 2023

Rational Franklin MRA and its Wavelets

Cite this Research Publication : S. Pitchai Murugan and G. P. Youvaraj, Rational Franklin MRA and its wavelets, International Journal of Wavelets, Multiresolution Analysis and Information Processing, 2023

Year : 2023

Lambda_s-Nonuniform multiresolution analysis

Cite this Research Publication : S. Pitchai Murugan and G. P. Youvaraj, \Lambda_s-Nonuniform multiresolution analysis, Journal of the Australian Mathematical Society, 114(3), 359-377 (2023).

Year : 2021

Frame Multiresolution Analysis of Contin-uous Piecewise linear functions

Cite this Research Publication : S. Pitchai Murugan and G. P. Youvaraj, Frame Multiresolution Analysis of Contin-uous Piecewise linear functions, International Journal of Wavelets, Multiresolution Analysis and Information Processing, 19(6), 2150032 (2021),

Year : 2021

On Franklin wavelets

Cite this Research Publication : S. Pitchai Murugan and G. P. Youvaraj, On Franklin Wavelets, Asian-European Journal of Mathematics, 14(7), 2150126 (2021)

FDP / Workshops
  1. Summer Fellowship Programme held at Indian Institute of Technology, Chennai, during May 15 – July 14, 2012.
  2. One day Symposium on “Geometric Function Theory” held at Indian Statistical Institute, Chennai on February 9, 2015.
  3. Annual Foundation School – II held at Indian Institute of Science and Research, Thiruvananthapuram during 11 May – 6 June , 2015.
  4. National workshop on “Scientific Computing – Today Challenges” held at Justice Basheer Ahmed Sayeed College for Women, Chennai on February 7, 2015.
  5. FACETS 2015, held at Institute of Mathematical Sciences, Chennai during June 29-30, 2015.
  6. Workshop on “An Introduction to Several Complex Variables”, held at Indian Statistical Institute, Chennai during December 18-23, 2015.
  7. One day Symposium on “Geometric Function Theory III” held at Indian Statistical Institute, Chennai on January 26, 2016.
  8. FACETS 2016, held at Institute of Mathematical Sciences, Chennai during July 04-05, 2016.
  9. Attended Gian (Global Initiative of Academic Networks) Course on “Fractals and Splines in Approximation and Interpolation Theory”, held at Indian Institute of Technology Madras, during July 15-29, 2016.
  10. One day Symposium on “Geometric Function Theory and Special Functions” held at Indian Statistical Institute, Chennai on August 31, 2016.
  11. Workshop on “Harmonic Analysis” held at Indian Institute of Science, Bangalore, during December 11-16, 2017.
  12. 15th Discussion Meeting in Harmonic Analysis held at Indian Institute of Science, Bangalore, during December 18-21, 2017.
  13. Attended Gian (Global Initiative of Academic Networks) Course on “Mathematical Foundations of Signal Analysis(A fresh look at Harmonic Analysis)”, held at Indian Institute of Technology Madras, during January 08-20, 2018.
  14. Teachers Enrichment workshop on “Algebra, Analysis and Topology of p-adic numbers” held at Institute of Mathematical Sciences, Chennai, during May 21-26, 2018.
  15. International Web-Conference on Complex Analysis and Differential Geometry: Revisiting conducted by Sidho-Kanho-Birsha University, West Bangal, during June 29-30, 2020.
Talks Delivered

Research Talks Delivered

  • A paper entitled “Smooth Orthonormal Basis for L^2(R^2) using Smooth Projections on L^2(R^2) associated with rectangles in R^2 in 22nd Ramanujan Symposium – National Conference on Pure and Applied Mathematics” held during March 06-08, 2019 at RIASM, University of Madras, Chennai.
  • A paper entitled ” On Franklin Wavelets ” in the 34th Annual Conference of the Ramanujan Mathematical Society held during August 1-3, 2019 at Pondicherry University, Pudhucherry.

Invited Talks Delivered

  • Invited lectures on Elementary Mathematics for CDS at Ex-Servicemen Welfare office, Chennai (2018 and 2019).
  • Invited talk on LATEX at Refresher Course on Engineering Mathematics(PFD-90), NITTTR, Chennai (2019).
Achievements

Awards

  • GATE 2015.
  • CSIR UGC NET – December 2015.
  • CSIR UGC JRF – June 2016.

Membership

  • Life Member – Ramanujan Mathematical Society.

 

Conferences Attended
  1. International Conference on “Fourier Analysis and Wavelets (ICFAWL)” held at RIASM, University of Madras, Chennai, during March 21-25, 2017.
  2. National Conference on “Algebra and its Applications” held at RIASM, University of Madras, Chennai, during February 28 – March 02, 2018.
  3. National Conference on Pure and Applied Mathematics held at RIASM, University of Madras, Chennai, during March 06-08, 2019.
  4. 34th Annual Conference of Ramanujan Mathematical Society held at Pondicherry University, Pudhucherry, during August 01-03, 2019.
  5. National Conference on Graph Theory and its Applications, held at RIASM, University of Madras, Chennai, during March 04-06, 2020.
  6. National Conference on Stochastic Modeling and Computational Techniques held at RIASM, University of Madras, Chennai, during March 24-26, 2021.
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