Curriculum Vitae
(Abridged)
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. 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. Basic Diﬀerential Geometry (Summer Programme in Mathematics, 2007)
2. Elementary Fourier Analysis (Summer Programme in Mathematics, 2008)
3. Lectures in Measure Theory (Summer Programme in Mathematics, 2009)
4. Lectures on Weyl quantisation (Discussion Meeting on Geometry and Analysis,
HRI, Allahabad, 2010)
5.Lectures in Fourier Analysis ( Workshop in Analysis, Algebra and Topology,
Kerala School of Mathematics, Calicut, 2011)
Conferences/Workshops Organised
1. Ninth Discussion Meeting on Harmonic Analysis, Organised at the Harish-Chandra
Research Institute, Allahabad from 17th to 19th of October 2005.
2. Organised Visiting Students Study Programme (VSSP) for M.Sc. students, during
June, 2006 at HRI, jointly with Kalyan Chakraborty.
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.
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. 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”.
2. Satellite Conference on Harmonic Analysis, Bhubaneswar, India 2010. Gave a talk
“On Schrodinger propagator for a class of differential operators with discrete spectrum”.
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.