Swaminathan A.

Areas of Interest

- Computational Complex Analysis, Positivity of Trigonometric Polynomials, Geometric Function Theory
- Approximation Theory, Orthogonal Polynomials on the Unit Circle, Orthogonality of Finite Class of Polynomials
- Polynomial Approximation, Zero-free and Maximal polynomials
- Special Functions, Geometric properties of hypergeometric type functions, Zeros, bounds and inequalities

Professional Background

From | To | Designation | Organisation |
---|---|---|---|

2012 | Till date | Associate Professor | I.I.T. Roorkee |

2006 | 2012 | Assistant Professor | I.I.T. Roorkee |

2005 | 2006 | Lecturer | Anna University, Chennai |

Educational Details

Degree | Subject | University | Year |
---|---|---|---|

Ph.D. | Mathematics | University of Madras | 2000 |

Administrative Background

From | To | Designation | Organisation | Level |
---|---|---|---|---|

July 2013 | May 2016 | Chairman, Institute Time Table Committee | IIT Roorkee |

Sponsored Research Projects

Topic | Funding Agency | Year |
---|---|---|

Positivity of polynomial sums in geometric function theory | SRIC, I.I.T. Roorkee | 2007 |

Applications of hypergeometric functions in Geometric Function Theory | DST, India | 2007 |

Participation in seminars

Name | Place | Sponsored By | Date |
---|---|---|---|

VII IberoAmerican Workshop on Orthogonal Polynomials and Applications | Universidad Carlos III de Madrid, Leganes, Spain | UC3M, ICMAT Spain | 3-6 Jul'18 |

14th International Symposium on Orthogonal Polynomials, Special Functions and Applicaitons, OPSFA 14 | University of Kent, Canterbury, United Kingdom | 3-7 Jul'17 | |

International Conference on Special Functions and its Applicaitons | City University of Hong Kong | 5-9 May'17 | |

Dunkl Operators, Special Functions, Harmonic Analysis | Universitat Paderborn, Germany | 12.08.2016 | |

13th International Symposium on Orthogonal Polynomials, Special Functions and Applications, OPSFA 13 | NIST, Washington USA | SIAM, USA | 1-5.6.2015 |

12th International Symposium on Orthogonal Polynomials, Special Functions and Applications | Sousse, Tunisia | OPSFA, SIAM | 25.03.2013 |

11th International Symposium on Orthogonal Polynomials, Special Functions and Applications | Universidad Carlos III de Madrid, Spain | OPSFA, SIAM | 29.08.2011 |

National Seminar on Recent advances in Mathematics | Brahmanand College, Kanpur | AICTE | 12-02-2011 |

International Conference in Mathematics | Center for Mathematical Sciences, Pala, Kerala | DST | 04-01-2011 |

International conference in Mathematics and Statistics 2010 | American University of Sharjah | American Mathematical Society | 18-03-2010 |

Asian Mathematical Congress | Kaula Lampur, Malaysia | Malaysian Math. Society | 27-06-2009 |

Pre ICM Conference | Univeristy of Delhi, New Delhi | NBHM, AMS | 18-12-2008 |

International Conference in Geometric Function Theory | Istanbul Kultur University, Turkey | Istanbul Kultur University, Turkey | 12-09-2008 |

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

Title | Course Code | Class Name | Semester |
---|---|---|---|

Complex Analysis | MAN-201 | M.Sc. Mathematics (Integrated) | Autumn |

Real Analysis | MAN 513 | M.Sc. Mathematics | Autumn |

Complex Analysis II | MAN 520 | M.Sc. Mathematics | Spring |

Orthogonal Polynomials and Special Functions | MAN 654 | M.Sc. Mathematics | Spring |

PHDs Supervised

Topic | Scholar Name | Status of PHD | Registration Year |
---|---|---|---|

Geometric properties of hypergeometric type functions using positivity theory | Saiful R Mondal | A | 2006 |

Finite class of classical orthogonal polynomials | Pradeep Malik | A | 2008 |

Geometric properties of hypergeometric type functions and their q-analogue | Raghavendar K | A | 2008 |

Geometric properties of integral transforms of a second order differential inequality | Satwanti Devi | A | 2010 |

Representations and Monotonic properties related to triple gamma functions | Sourav Das | A | 2012 |

Biorthogonality of R1, R2 polynomials and Complementary Chain sequences | Kiran Kumar Behera | O | 2013 |

Generalized Positivity Techniques applied to hypergeometric type functions | Priyanka Sangal | A | 2013 |

Polynomial Approximation | Lateef Ahmad Wani | O | 2016 |

Hypergeometric type functions in function spaces | Vinay Shukla | O | 2018 |

Visits to outside institutions

Institute Visited | Purpose of Visit | Date |
---|---|---|

School of Mathematical Sciences, Universiti Sains Malaysia | Visiting Scientist, Research Collaboration | May 2014 |

UNESP, SJ, SP, Brazil | Research Collaboration in Positivity techniques of hypergeometric functions | Oct 2013 |

ENS, Lyon France | Research Collaboration | May 2012 |

Universidad Carlos III de Madrid, Spain | Research Collaboration | March 2012 |

Universidad Carlos III de Madrid, Spain | Research Collaboration | Aug 2011 |

School of Mathematical Sciences, Universiti Sains Malaysia | Visiting Scientist | May 2010 - |

School of Mathematical Sciences, Universiti Sains Malaysia | Visiting Scientist | May 2009 |

Invitations

Topic | Organistaion | Category | Year |
---|---|---|---|

Geometric properties of Hypergeometric type functions | Universiti Sains Malaysia, Penang, Malaysia | I | 2009-2014 |

Positivity Techniques in Geometric Function Theory | UNESP, SJ, SP, Brazil | I |

Participation in short term courses

Couse Name | Sponsored By | Date |
---|---|---|

Annual Foundation School I, I.I.T. Delhi | National Center for Mathematics, I.I.T. Bombay and TIFR Mumbai | Dec., 2017 |

Complex Analysis, Fourier Series and Special Functions (with outline on the Mathematical Software) | TEQIP-II | March.2017 |

Orthogonal Polynomials and Special Functions (using Mathematical Software) | QIP, AICTE | July, 2013 |

Courses or Conferences Organised

Conference Name | Sponsored By | Date |
---|---|---|

International Conference on Mathematical Analysis and its Applications ICMAA 2016 27 Nov-02 Dec 2016 | DST, NBHM, ISRO, CSIR, INSA, Forum, IMU, SCUBE | 27.11.2016 |

STC on Complex Analysis, Fourier Analysis, Special Functions (with mathematical Software Techniques) | TEQIP-II | 06.03.2017 |

Orthogonal Polynomials and Special Functions (using Mathematical Software) | AICTE, QIP | 08.07.2013 |

National International Collaboration

Topic | Organisation | Level |
---|---|---|

Orthogonal Polynomials on the unit circle | UNESP, SJ, SP, Brazil | RP |

Geometric Function Theory | Universiti Sains Malaysia, Penang, Malaysia | RP |

Interlacing of zeros of special functions | University of Pretoria, South Africa | RP |

Finite Class of Classical Orthogonal Polynomials | Universidad Carlos III de Madrid, Leganes, Madrid, Spain | RP |

Gamma functions and Stieltjes representation | University of Copenhagen, Denmark | RP |

Geometric properties of Pick functions | ENS Lyon France | RP |