Swaminathan A. - Department of Mathematics,Indian Institute of Technology Roorkee
Swaminathan A.
A. Swaminathan Professor a.swaminathan@ma.iitr.ac.in 01332-285182
Areas of Interest
  • Complex Analysis, Orthogonal Polynomials and Special Functions, Functional Analysis: Operator Theory and Approximation Theory
Multiple Posts
FromPeriodPositionOrganisation
2021-04-29OngoingAssociate Dean of Academic Affairs (IT Systems & Admission)I.I.T. Roorkee
2013-01-013 years Chairman, Institute Time Table CommitteeIIT Roorkee
Educational Details
DegreeSubjectUniversityYear
Ph.D.MathematicsUniversity of Madras2000
Sponsored Research Projects
TopicFunding AgencyStart DatePeriod
Recent Trends in Orthogonal PolynomialsASEM DUO India 2020 (SPARC-MHRD)2020-01Ongoing
Spectral properties of perturbed Orthogonal Polynomals generated by rational functions and their qDST SERB (Core Grant)2020-01Ongoing
Zeros of R-II type Bi-orthogonal rational functions and corresponding numerical quadrature rulesDST SERB (MATRICS)2020-01Ongoing
Applications of hypergeometric functions in Geometric Function TheoryDST, SERC (FAST TRACK)2007-0113 years 7 months
Participation in seminars
NamePlaceSponsored ByDate
15th International Symposium on Orthogonal Polynomials, Special Functions and applications, OPSFA 15RISC, Hagenberg, Linz, AustriaOPSF, SIAM2020-08
International Conf. on Orthogonal Polynomials and Holomorphic Dynamics OPDS 2018, Aug 14-17, 2018Carlsberg Academy, Copenhagen, DenmarkTechnical University of Denmark2020-08
VII IberoAmerican Workshop on Orthogonal Polynomials and ApplicationsUniversidad Carlos III de Madrid, Leganes, SpainUC3M, ICMAT Spain2020-08
14th International Symposium on Orthogonal Polynomials, Special Functions and Applicaitons, OPSFA 14University of Kent, Canterbury, United Kingdom 2020-08
International Conference on Special Functions and its ApplicaitonsCity University of Hong Kong 2020-08
Dunkl Operators, Special Functions, Harmonic AnalysisUniversitat Paderborn, Germany 2020-08
13th International Symposium on Orthogonal Polynomials, Special Functions and Applications, OPSFA 13NIST, Washington USASIAM, USA2020-08
12th International Symposium on Orthogonal Polynomials, Special Functions and ApplicationsSousse, TunisiaOPSFA, SIAM2020-08
11th International Symposium on Orthogonal Polynomials, Special Functions and ApplicationsUniversidad Carlos III de Madrid, SpainOPSFA, SIAM2020-08
National Seminar on Recent advances in MathematicsBrahmanand College, KanpurAICTE2011-01
International Conference in MathematicsCenter for Mathematical Sciences, Pala, KeralaDST2011-01
International conference in Mathematics and Statistics 2010American University of SharjahAmerican Mathematical Society2010-01
Asian Mathematical CongressKaula Lampur, MalaysiaMalaysian Math. Society2009-01
Pre ICM ConferenceUniveristy of Delhi, New DelhiNBHM, AMS2008-01
International Conference in Geometric Function TheoryIstanbul Kultur University, TurkeyIstanbul Kultur University, Turkey2008-01
Memberships
  • SIAM (Society for Industrial and Applied Mathematics), Member
  • SIAM (Orthogonal Polynomials and Special Functions Group), Member
  • Society for Special Functions and its Applications, India, Life Member
  • American Mathematical Society, Sponsored Member
  • Research Group in Mathematical Inequalities and Applications, Member
  • Forum d' Analystes, LIfe Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Complex AnalysisMAN-201M.Sc. Mathematics (Integrated)Autumn
Measure TheoryMAN 651M.Sc. MathematicsAutumn
Complex Analysis IIMAN 520M.Sc. MathematicsSpring
Orthogonal Polynomials and Special FunctionsMAN 654M.Sc. MathematicsSpring
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Date
Geometric properties of hypergeometric type functions using positivity theorySaiful R MondalA2006-01-01
Finite class of classical orthogonal polynomialsPradeep MalikA2008-01
Geometric properties of hypergeometric type functions and their q-analogueRaghavendar KA2008-01
Geometric properties of integral transforms of a second order differential inequalitySatwanti DeviA2010-01
Representations and Monotonic properties related to triple gamma functionsSourav DasA2012-01-01
Generalized Positivity Techniques applied to hypergeometric type functionsPriyanka SangalA2013-01
Biorthogonality of R1, R2 polynomials and Complementary Chain sequencesKiran Kumar BeheraA2013-01
Geometric Properties of Starlike functions associated with a Nephroid domainLateef Ahmad WaniA2016-01-01
Hypergeometric type functions in Function SpacesVinay ShuklaO2018-01
Hypergeometric type functions in Spectral TheoryVikash KumarO2019-01
Selected topics in Function SpacesNehaO2019-01
Spectral TransformationDeepshikha MishraO2021-02
Orthogonal PolynomialsPradyuman SharmaO2021-02
Visits to outside institutions
Institute VisitedPurpose of VisitDate
UNESP, SJ, SP, BrazilResearch Collaboration in Positivity techniques of hypergeometric functions2013-01-01
School of Mathematical Sciences, Universiti Sains MalaysiaVisiting Scientist, Research Collaboration2014-01-01
Universidad Carlos III de Madrid, SpainResearch Collaboration2012-01-01
ENS, Lyon FranceResearch Collaboration2012-01-01
Universidad Carlos III de Madrid, SpainResearch Collaboration2011-01-01
School of Mathematical Sciences, Universiti Sains MalaysiaVisiting Scientist2010-01-01
School of Mathematical Sciences, Universiti Sains MalaysiaVisiting Scientist2009-01-01
Invitations
TopicOrganistaionDate
Geometric properties of Hypergeometric type functionsUniversiti Sains Malaysia, Penang, Malaysia2020-08
Positivity Techniques in Geometric Function TheoryUNESP, SJ, SP, Brazil2020-08
Participation in short term courses
Couse NameSponsored ByDate
LaTex Programming 2019 in Department of Mathematics, NIT JamshedpurTEQIP III 2020-08
Annual Foundation School I, I.I.T. DelhiNational Center for Mathematics, I.I.T. Bombay and TIFR Mumbai2017-01
Complex Analysis, Fourier Series and Special Functions (with outline on the Mathematical Software)TEQIP-II2020-08
Orthogonal Polynomials and Special Functions (using Mathematical Software)QIP, AICTE2013-01
Courses or Conferences Organised
Conference NameSponsored ByDate
International Conference of Mathematics and Computer scienceUniversity of Rzeszow, Poland2020-11
International Conference on Special Functions and its Applications 2020 (ICSFA-2020)Society for Special Functions and its Applications (SSFA)2020-12
International Conference on Mathematical Analysis and its Applications ICMAA 2016 27 Nov-02 Dec 2016DST, NBHM, ISRO, CSIR, INSA, Forum, IMU, SCUBE2020-08
STC on Complex Analysis, Fourier Analysis, Special Functions (with mathematical Software Techniques)TEQIP-II2020-08
Orthogonal Polynomials and Special Functions (using Mathematical Software)AICTE, QIP2020-08
National International Collaboration
TopicOrganisation
Orthogonal Polynomials on the unit circleUNESP, SJ, SP, Brazil
Geometric Function TheoryUniversiti Sains Malaysia, Penang, Malaysia
Finite Class of Classical Orthogonal PolynomialsUniversidad Carlos III de Madrid, Leganes, Madrid, Spain
Interlacing of zeros of special functionsUniversity of Pretoria, South Africa
Gamma functions and Stieltjes representationUniversity of Copenhagen, Denmark
Geometric properties of Pick functions ENS Lyon France
Refereed Journal Papers

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