A. Swaminathan
Professor
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Interests
Complex Analysis, Orthogonal Polynomials and Special Functions, Functional Analysis: Operator Theory and Approximation Theory
a.swaminathan@ma.iitr.ac.in
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01332-285182
Biosketch
Educational Details
Professional Background
Administrative Positions

Research
Projects
Papers
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Miscellaneous
BioSketch
Educational Details
University of Madras
2000
Ph.D., Mathematics
Administrative Positions
Associate Dean of Academic Affairs (IT Systems & Admission)
29 Apr 2021 - Present
I.I.T. Roorkee
Chairman, Institute Time Table Committee
01 Jan 2013 - 01 Jan 2016
IIT Roorkee
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
Recent Trends in Orthogonal Polynomials 01 Jan 2020 Recent Trends in Orthogonal Polynomials 4.05 lakhs ASEM DUO India 2020 (SPARC-MHRD) Prof. Francisco Marcellan, Universidad Carlos III de Madrid, Spain
Computational aspects in Biorthogonal Rational functions 28 Jun 2021 Mathematics 15,15,900 National Board for Higher Mathematics NBHM (DAE)
Spectral properties of perturbed Orthogonal Polynomals generated by rational functions and their q 01 Jan 2020 Spectral properties of perturbed Orthogonal Polynomals generated by rational functions and their q 26.37 lakhs DST SERB (Core Grant)
Zeros of R-II type Bi-orthogonal rational functions and corresponding numerical quadrature rules 01 Jan 2020 Zeros of R-II type Bi-orthogonal rational functions and corresponding numerical quadrature rules 6.6 lakhs DST SERB (MATRICS)
Applications of hypergeometric functions in Geometric Function Theory 01 Jan 2007 Applications of hypergeometric functions in Geometric Function Theory 2.03 lakhs DST, SERC (FAST TRACK)




Honors And Awards
MemberShips
SIAM (Society for Industrial and Applied Mathematics)
31 Aug 2020 - Present
Member
SIAM (Orthogonal Polynomials and Special Functions Group)
31 Aug 2020 - Present
Member
Society for Special Functions and its Applications, India
31 Aug 2020 - Present
Life Member
American Mathematical Society
31 Aug 2020 - Present
Sponsored Member
Research Group in Mathematical Inequalities and Applications
31 Aug 2020 - Present
Member
Forum d' Analystes
31 Aug 2020 - Present
LIfe Member
Teaching Engagements
Teaching Engagements
Complex Analysis ( MAN-201 )
Autumn
Measure Theory ( MAN 651 )
Autumn
Complex Analysis II ( MAN 520 )
Spring
Orthogonal Polynomials and Special Functions ( MAN 654 )
Spring
Students
SuperVisions
Geometric properties of hypergeometric type functions using positivity theory
01 Jan 2006 - 19 Oct 2010
Other Supervisors: , Scholar: Saiful R Mondal
Finite class of classical orthogonal polynomials
01 Jan 2008 - 01 Nov 2011
Other Supervisors: , Scholar: Pradeep Malik
Geometric properties of hypergeometric type functions and their q-analogue
01 Jan 2008 - 01 Oct 2012
Other Supervisors: , Scholar: Raghavendar K
Geometric properties of integral transforms of a second order differential inequality
01 Jan 2010 - 01 Apr 2015
Other Supervisors: , Scholar: Satwanti Devi
Representations and Monotonic properties related to triple gamma functions
01 Jan 2012 - 05 Sep 2017
Other Supervisors: , Scholar: Sourav Das
Generalized Positivity Techniques applied to hypergeometric type functions
01 Jan 2013 - 30 Apr 2018
Other Supervisors: , Scholar: Priyanka Sangal
Biorthogonality of R1, R2 polynomials and Complementary Chain sequences
01 Jan 2013 - 25 Oct 2018
Other Supervisors: , Scholar: Kiran Kumar Behera
Geometric Properties of Starlike functions associated with a Nephroid domain
01 Jan 2016 - 23 Oct 2020
Other Supervisors: , Scholar: Lateef Ahmad Wani
Hypergeometric type functions in Function Spaces
01 Jan 2018 - Present
Other Supervisors: , Scholar: Vinay Shukla
Hypergeometric type functions in Spectral Theory
01 Jan 2019 - Present
Other Supervisors: , Scholar: Vikash Kumar
Selected topics in Function Spaces
01 Jan 2019 - Present
Other Supervisors: , Scholar: Neha
Spectral Transformation
12 Feb 2021 - Present
Other Supervisors: , Scholar: Deepshikha Mishra
Orthogonal Polynomials
12 Feb 2021 - Present
Other Supervisors: , Scholar: Pradyuman Sharma
Miscellaneous
Events
LaTex Programming 2019 in Department of Mathematics, NIT Jamshedpur
31 Aug 2020 - Present
TEQIP III
Annual Foundation School I, I.I.T. Delhi
01 Jan 2017 - Present
National Center for Mathematics, I.I.T. Bombay and TIFR Mumbai
Complex Analysis, Fourier Series and Special Functions (with outline on the Mathematical Software)
31 Aug 2020 - Present
TEQIP-II
Orthogonal Polynomials and Special Functions (using Mathematical Software)
01 Jan 2013 - Present
QIP, AICTE
International Conference on Mathematical Analysis and its Applications ICMAA 2016 27 Nov-02 Dec 2016
31 Aug 2020 - Present
DST, NBHM, ISRO, CSIR, INSA, Forum, IMU, SCUBE
STC on Complex Analysis, Fourier Analysis, Special Functions (with mathematical Software Techniques)
31 Aug 2020 - Present
TEQIP-II
International Conference of Mathematics and Computer science
21 Nov 2020 - 29 Nov 2020
University of Rzeszow, Poland
International Conference on Special Functions and its Applications 2020 (ICSFA-2020)
22 Dec 2020 - 23 Dec 2020
Society for Special Functions and its Applications (SSFA)
Orthogonal Polynomials and Special Functions (using Mathematical Software)
31 Aug 2020 - Present
AICTE, QIP
Visits
UNESP, SJ, SP, Brazil
2013-01-01
Research Collaboration in Positivity techniques of hypergeometric functions
School of Mathematical Sciences, Universiti Sains Malaysia
2014-01-01
Visiting Scientist, Research Collaboration
Universidad Carlos III de Madrid, Spain
2012-01-01
Research Collaboration
ENS, Lyon France
2012-01-01
Research Collaboration
Universidad Carlos III de Madrid, Spain
2011-01-01
Research Collaboration
School of Mathematical Sciences, Universiti Sains Malaysia
2010-01-01
Visiting Scientist
School of Mathematical Sciences, Universiti Sains Malaysia
2009-01-01
Visiting Scientist
Refereed Journal Papers