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Dr. R. Prakash

Assistant Professor, Mathematics, School of Engineering, Chennai | Assistant Professor, Mathematics, School of Engineering, Chennai

Qualification: MPhil, MSc, Ph.D
@amrita.edu @amrita.edu

Bio Publications Academic Qualifications Awards Received Academic Experience Areas of Specialization Membership of Professional Body Teaching Interests
Bio

Dr. R. Prakash currently serves as an Assistant Professor (Sr Gr.) of Mathematics in the Department of Science and Humanities, School of Engineering, Amrita Vishwa Vidyapeetham, Chennai Campus, India.

Publications

Journal Article

Year : 2018

Existence of invariant subspaces

Cite this Research Publication : R. Prakash, Existence of invariant subspaces, Int. J. Funct. Anal. Oper. Theory Appl. 10 (2) 2018, 73 - 80

Publisher : International Journal of Functional Analysis, Operator Theory and Applications

Year : 2010

Malliavin’s theorem for weak synthesis on nonabelian groups

Cite this Research Publication : K. Parthasarathy and R. Prakash, Malliavin’s theorem for weak synthesis on nonabelian groups, Bulletin des Sciences Mathématiques (134) 2010, 561 - 578
DOI:10.1016/j.bulsci.2010.03.007

Publisher : Bulletin des Sciences Mathématiques

Year : 2007

Spectral subspaces for the Fourier algebra

Cite this Research Publication : K. Parthasarathy and R. Prakash, Spectral subspaces for the Fourier algebra, Colloq. Math. (108) 2007, 179 - 182
DOI:10.4064/cm108-2-2

Publisher : Colloquium Mathematicum

Year : 2007

Spectral synthesis in the Fourier algebra and the Varopoulos algebra

Cite this Research Publication : K. Parthasarathy and R. Prakash, Spectral synthesis in the Fourier algebra and the Varopoulos algebra, Tohoku Math. J. 59 (3), 2007, 441 - 45 (2007)

Publisher : Tohoku Math. J.

Year : 2006

Spectral synthesis and Operator synthesis

Cite this Research Publication : K. Parthasarathy and R. Prakash, Spectral synthesis and Operator synthesis,StudiaMath. 177 (2) 2006, 173 - 181

Publisher : StudiaMath

Academic Qualifications
  • 2000 – 2007 : Ph.D., Mathematics
    Ramanujan Institute for Advanced Study in Mathematics (RIASM), University of Madras
    Dissertation Title: Spectral Synthesis, Operator Synthesis and Spectral Subspaces
  • 1999 – 2000 : M.Phil Mathematics – First Class with Distinction
    Ramanujan Institute for Advanced Study in Mathematics (RIASM), University of Madras
    Dissertation Title: Frames and Wavelet Analysis
  • 1997 – 1999 : M.Sc Mathematics – First Class
    Ramanujan Institute for Advanced Study in Mathematics (RIASM),
    University of Madras, Chennai.
  • 1994 – 1997 : B.Sc Mathematics – First Class
    D G Vaishnav College, Arumbakkam, Chennai
Awards Received
Year Title
2008 PIMS (Pacific Institute for Mathematical Sciences) Postdoctoral Fellowship, Canada
2008 IMSc (Institute of Mathematical Sciences) Postdoctoral Fellowship, Chennai, India
2007 NBHM Postdoctoral Fellowship, India
2002 CSIR-UGC-NET Eligibility Test for Lectureship, India
2000 NBHM Research Award for pursuing PhD, India
Academic Experience
Year Affiliation
July 2021 – Present Assistant Professor (Sr Gr),
AmritaSchool of Engineering,
Amrita Vishwa Vidyapeetham, Chennai
September 2011 – June 2021 Assistant Professor,
Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia
December 2009 – September 2011 Assistant Professor,
Indian Institute of Science Education and Research
(IISER),Thiruvananthapuram, Kerala, India
December 2009 – September 2011 Assistant Professor,
Indian Institute of Science Education and Research
(IISER),Thiruvananthapuram, Kerala, India
July 2006 – February 2008 Lecturer,
R. M. K. Engineering College, Kavaraipettai,
Tamil Nadu, India
Areas of Specialization
  • Harmonic Analysis
  • Functional Analysis
Membership of Professional Body
  • Life Member of Indian Mathematical Society
Teaching Interests
  • Functional Analysis
  • Real Analysis
  • Complex Analysis
  • Algebra
  • Linear Algebra
  • Probability Theory
  • Discrete Mathematics
  • Ordinary and Partial Differential Equations
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