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Pratyoosh Kumar


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Pratyoosh Kumar

Associate Professor Ph.D. (IIT Kanpur)

+91 (0)361 258 2631    pratyoosh ◊ iitg ⋅ ac ⋅ in

Research Area: Harmonic Analysis
Room No: E1-309
Personal Website | IRINS Profile

Department Responsibilities:
Faculty Advisor, M.Sc. (M & C) 2014, 2020
Infrastructure Advisory and Purchase Committee, Member

Research

Harmonic Analysis on Riemannian Symmetric Spaces and Harmonic NA Groups

Education

PhD (IIT Kanpur, India)
MA (University of Delhi, India)
 

Experience

  • Assistant Professor, Indian Institute of Technology Guwahati Oct 2012-Till date.
  • Visiting Scientist, Indian Statistical Institute Kolkata, Aug 2011-July 2012. 
  • T.A. in MTH 102 (Complex analysis and Linear algebra core course for B.E. 1st year), 2007.
  • T.A. in MTH 401 (Real and complex analysis for M.Sc. 2 year statistics), 2007.
  • Tutor in MTH 101 (Calculus core course for B.E. 1st year), 2008.
  • Tutor in MTH 102 (Complex analysis and Linear algebra core course for B.E. 1st year), 2008 and 2010.
  • T.A in MTH 404 (Analysis II, for M.Sc.), 2009.
  • T.A. in MTH 203 (ODE and PDE core course for B.E. 2nd year), 2009.
  • T.A in MTH 403 (Complex Analysis for M.Sc. ), 2010  T.A. in MTH 102 (Complex analysis and Linear algebra core course for B.E. 1st year), 2007.
  • T.A. in MTH 401 (Real and complex analysis for M.Sc. 2 year statistics), 2007.
  • Tutor in MTH 101 (Calculus core course for B.E. 1st year), 2008.
  • Tutor in MTH 102 (Complex analysis and Linear algebra core course for B.E. 1st year), 2008 and 2010.
  • T.A in MTH 404 (Analysis II, for M.Sc.), 2009.
  • T.A. in MTH 203 (ODE and PDE core course for B.E. 2nd year), 2009.
  • T.A in MTH 403 (Complex Analysis for M.Sc. ), 2010 

Courses

Jan-April 2020 Prepertory.
Past

  1. (July-Nov 2019) MA642 Real Analysis-1 for PhD.
  2. (Jan-April 2019) MA642 Real Analysis-1 for PhD.
  3. (July-Nov 2018) MA201 MATHEMATICS-III (Complex Analysis part) for B.Tech.
  4. (Jan-April 2018) MA641 Operator Theory in Hilbert Spaces.          
  5. (July-Nov 2017) MA642 Real Analysis-1 for PhD.
  6. (Jan-April 2017) MA224 Real Analysis for B.Tech Math and Computing.
  7. (July-Nov 2016) MA201 MATHEMATICS-III (Complex Analysis part) for B.Tech.
  8. (Jan-April 2016) MA642 Real Analysis-1 for PhD.
  9. (July-Nov 2015) MA211M Real Analysis for B.Tech Mainor in Mathemaics.
  10. (Jan-April 2015) MA224 Real Analysis for B.Tech Math and Computing.
  11. (July-Nov 2014) MA201 MATHEMATICS-III (Complex Analysis part) for B.Tech.
  12. (Jan-April 2014) MA641 Operator Theory in Hilbert Spaces.
  13. (July-Nov 2013) MA 522 Linear Algebra for MSc Math and Computing.
  14. (Jan-April 2013) Prepertory.

Journal Publications

6. Pratyoosh Kumar and Sumit K. Rano, "A characterization of weak Lp -eigenfunctions of the Laplacian on Homogeneous Trees (Published online) DOI: 10.1007/s10231-020-01011-3", Ann. Mat. Pura Appl. , vol.4 [2021]

5. Pratyoosh Kumar and Ewa Damek, "Eigenfunctions of Laplace-Beltrami operator on harmonic NA groups", J. Geom. Anal , vol.26 (3) ,pp.1913-1924, [2016]

4. Pratyoosh Kumar, "Simplicity of Poisson transform on harmonic NA group", J. Ramanujan Math. Soc , vol.31 (1) ,pp.1-15, [2016]

3. Pratyoosh Kumar., "Fourier restriction theorem and characterization of weak L2 -eigenfunctions of the Laplace-Beltrami Operator.", J. Funct. Anal (accepted for publication), In press. [2014]

2. Pratyoosh Kumar, Swagato K. Ray, Rudra P. Sarkar., "Characterization of almost L^2 -eigenfunctions of the Laplace-Beltrami Operator.", Trans AMS (pubished online) , vol.366 (6) ,pp.3191-3225, [2013]

1. Pratyoosh Kumar, Swagato K. Ray, Rudra P. Sarkar., "The role of restriction theorems in harmonic analysis on harmonic NA groups.", J. Funct. Anal MR2584750 , vol.258 (7) ,pp.2453-2482, [2010]

Current

1 Manali Sajjan
2 Mandeep Singh

Completed

1 Sumit Kumar Rano

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