Curriculum Vitae


(Abridged)

 


Personal Information


                           Ratnakumar P.K.

                School of Mathematics,

                Harish-Chandra Research Institute,

                Chhatnag Road, Jhunsi 211 019,

                Allahabad, India.


                Tel: +91-532-2569510, Extn. 4415 (W),

                       +91-532-2274069(R).

                e-mail : ratnapk[at]hri.res.in

                Fax : +91-532-2567748


                Date of birth : 02-03-1968

                Male, Married

                Nationality : Indian


Educational Background


           B.Sc. (Mathematics), University of Calicut, India, 1988. Passed with distinction.


         M.Sc. (Mathematics), University of Calicut, India, 1990. Passed with distinction.


         Doctoral thesis           :  Titled “On some problems related to Hermite and Laguerre 

                                               expansions”,

         Thesis Supervisor      :  Prof. S. Thangavelu.


         Year of Ph.D.             :  1997 (From the Indian Statistical Institute)


         Area of specialisation:  Harmonic analysis.


Current Position


           Associate Professor G, School of Mathematics, Harish-Chandra Research Institute, Allahabad, since January 2011.


Positions held


         Visiting Scientist in the Stat-Math Unit, Indian Statistical Institute, Bangalore centre,

India, from January 1996 to April 1996.


         National Board for Higher Mathematics Post Doctoral Fellow in the Stat-Math Unit,

Indian Statistical Institute, Bangalore centre, India, from May 1996 to 15th October 1998.  


         Visiting Scientist in the Dept. of Mathematics, Brock University, St. Catherines,

Ontario, Canada, from 15th September 1997 to 15th December 1997 on invitation from

Prof. Ron Kerman.


         Post doctoral fellow in the Institute of Advanced Studies in Mathematics, Technion -

Israel Institute of Technology, Haifa, Israel, from October 1998 to October 1999. Invited

by Prof. Amos Nevo.


         Research Scientist, Poorna Pra jna Institute of Scientific Research, Bangalore.

Affiliated to the department of mathematics, Indian Institute of Technology, Kanpur,

from November 1999 to September 2000.


         Lecturer in Applied Mathematics, Department of Mathematics and Statistics,

University of Hyderabad, From October 2000 to June 2004.


         Fellow E, School of Mathematics, Harish-Chandra Research Institute, Allahabad.

From July 2004 to July 2005.


         Reader F, School of Mathematics, Harish-Chandra Research Institute, Allahabad.

From August 2005 to December 2011.


Awards, Grants and Recognition


            National Board for Higher Mathematics research award during Ph.D., 1991-95.


          National Board for Higher Mathematics post doctoral fellowship, May 1996 to

15th October 1998.


          Received Post doctoral fellowship from Institute of Advanced Studies in Mathematics, Technion - Israel Institute of Technology, Haifa, Israel, from 16th October 1998 to 15th October 1999.


          Received  grant  from  the  International Mathematical Union  to  participate  in  the International Congress of Mathematicians, Berlin, 1998, within the group of “Younger Mathematicians from the Developing Countries”.


          Received grant from the International Centre for Mathematical Sciences  and  Technion

to participate in the Instructional Conference on Analysis on Lie Groups and Partial Differential Equations, Edinburgh, 1999.


          Received research fellowship from the Poorna Pra jna Institute of Scientific Research, Bangalore, from November 1999 to September 2000.


           Received grant from the National Board for Higher Mathematics to participate in the International Congress of Mathematicians, Madrid, 2006.


           I have been one of the two candidates short listed for the final round of the Swarnajayanti fellowship for the year 2004-2005.


           I  have  been  selected  as  a  reviewer  for Math Reviews of the American Mathematical

Society, since January 2006.


           My name has been included in the 2010 edition of Marquis Who’s Who in the world.



Courses Taught

The following sub jects have been taught at the level of M.Sc. / Ph.D. course work


  1. 1. Real Analysis


2.  Measure and Integration


3.  Harmonic Analysis


4.  Ordinary Differential Equations


5.  Partial Differential Equations


6.  Mathematical Methods


7.  Classical Mechanics


8.  Algebraic Topology


Mini Courses Taught

The following short courses have been given in workshops/conferences.


  1. 1.  Basic Differential Geometry (Summer Programme in Mathematics, 2007)


  1. 2.  Elementary Fourier Analysis (Summer Programme in Mathematics, 2008)


  1. 3.  Lectures in Measure Theory (Summer Programme in Mathematics, 2009)


  1. 4.  Lectures on Weyl quantisation (Discussion Meeting on Geometry and Analysis,

                                                                                                      HRI, Allahabad, 2010)


  1. 5.Lectures in Fourier Analysis ( Workshop in Analysis, Algebra and Topology,

                                                                 Kerala School of Mathematics, Calicut, 2011)

Conferences/Workshops Organised


  1. 1.  Ninth Discussion Meeting on Harmonic Analysis, Organised at the Harish-Chandra 

     Research Institute, Allahabad from 17th to 19th of October 2005.


  1. 2.  Organised Visiting Students Study Programme (VSSP)  for  M.Sc.  students, during

     June, 2006 at HRI, jointly with Kalyan Chakraborty.


  1. 3.  Organised Summer Programme  in  Mathematics (SPIM) for M.Sc. students  for  the   

     years 2007, 2008 and 2009 during June-July, at HRI, Jointly with Kalyan Chakraborty.


  1. 4.  Organised Discussion Meeting  on  Geometry and Analysis,  at  the Harish-Chandra  

     Research Institute, from 19th January-2nd February 2010, jointly with Rukmini Dey.


Participation in Conferences

This is a selected list of conferences that I participated:


  1. 1.  Recent Developments in Harmonic Analysis and their Applications, Marrakech, Morocco,

     2011. Gave a lecture on “A Benedick’s type uncertainty theorem on the Heisenberg group”.


  1. 2.  Satellite Conference on  Harmonic  Analysis, Bhubaneswar, India 2010. Gave a talk

     “On Schrodinger propagator for a class of differential operators with discrete spectrum”.


  1. 3. International  Congress  of  Mathematicians (ICM),  Hyderabad, India,  August,  2010.


4.   Workshop  on  Harmonic  Analysis   and  Partial  Differential  Equations,  Ciudad

     Universitaria  Mexico,  Merida,  Mexico,  4 - 8  February,  2008.  Gave  a  talk  on 

     “Schroedinger  propagator  for  the  special  Hermite  operator,  some  regularity questions”.


5.  International  Congress  of  Mathematicians (ICM),  Madrid,  22 - 30  August,  2006.


6.  Satellite  conference  on  Harmonic  and  Geometric  Analysis  with  Applications  to 

     Partial Differential Equations, Sevilla, 14-18 August, 2006. Presented a poster.


7.  Discussion Meeting on Recent Advances in operator Theory and Operator Algebras III,  

     Indian Statistical Institute, Bangalore Centre, 19-22 December, 2005. Gave a lecture on 

     “Schroedinger equation and the oscillatory semi-group for the Hermite operator”.


8.  Instructional conference on Analysis on Lie Groups and Partial Differential Equations,

     University of Edinburgh, 6-16 April, 1999.


9.  International Congress of Mathematicians, Berlin, 18-27 August, 1998 and presented a 

     short communication.


10. Conference  on  Geometric  aspects  of  Fourier  and  Functional  analysis,   Christian-

      Albrechts - University of  Kiel,  Germany, 10 - 14 August, 1998 and presented a poster.


11. International  conference  on Nonlinear  Differential  equations  and  applications, Tata

      Institute of Fundamental Research, Bangalore, 1996.