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  • University of California, Los Angeles, 1985

  • Annual Canadian Conference on Operator Theory/ Operator Algebras, July 1986

  • University of California, SanDiego, 1989

  • University of Georgia, Athens, 1989

  • Mittag - Leffler Institute, Stockholm, 1991

  • Summer school on Multi-variate Operator Theory, Seattle, 1993,

  • Texas A&M University, College Station, 1993

  • International Conferenece in honor of B. Sz.-Nagy, Szeged, 1993

  • B. Sz.-Nagy Memorial Conference, Szeged, 1999

  • SUMRIFAS, Texas A&M University, College Station, 1999

  • Graduate Centre, CUNY, New York, 1999

  • University of Joseph Fourier, Grenoble, May 2001

  • University of Pierre and Marie Curie, Paris, June 2002

  • CIRM, Luminy, June 2003

  • Texas A&M University, November 2003

  • Ben Gurien University, June 2005

  • Romanian Institute of Mathematics and West University in Timisoara,
    Plenary talk, July 2006

  • Ben Gurien University, July 2007

  • Texas A & M University, Oct 2007

  • Operator theory with Application to Geometry and Topology:
    In Honor of Ronald Douglas' Seventieth Birth-day, June 2-6, 2008, China

  • First Indo-Brazilian Symposium on Mathematics, IMPA, July 28 - August 1, 2008

  • A sheaf theoretic model for analytic Hilbert modules , Hilbert Modules and Complex Geometry, Institute for Mathematics, Oberwolfach, April 5-9, 2009

  • Chalmers University, Oct 2010

  • A sheaf model for semi-Fredholm Hilbert modules I, Analysis Seminar, The University of Newcastle upon Tyne, October 28, 2010.

  • A sheaf model for semi-Fredholm Hilbert modules II, Analysis Seminar, The University of Newcastle upon Tyne, November 4, 2010.

  • Yorkshire Functional Analysis Group seminar
    Unnivesity of Leeds, October, 2010

  • Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc, AMS Sectional Meeting Cornell University, September 10-11, 2011

  • Quantum Probability, Noncommutative Geometry, Quantum Information
    ICMS, Edinburgh, 16th - 18th January 2012

  • Pure Mathematics Seminars, Lancaster University, January 2012

  • The complex analysis seminar, University of Vienna, April 2012

  • Chalmers University, Jun 2012

  • Complex Geometry and Operator Theory at IWOTA
    University of New South Wales, July 16-20, 2012

  • Classification of homogeneous operators in the Cowen-Douglas class, Indo-Spanish Conference on Geometry and Analysis, ICMAT, 10-14 September 2012 and
  • University of Marburg, June 12, 2012.

  • Flag structure for operators in the Cowen-Douglas class, Functional Analysis Seminar, University of Saarbrucken, February 12, 2014.

  • Flag structure for operators in the Cowen-Douglas class , Hilbert modules and Complex geometry, Institute for Mathematics, Oberwolfach, April 20-26, 2014.

  • Contractive and completely contractive homomorphisms over function algebras, Functional Analysis Seminar, University of Leipzig, July. 21, 2015.

  • Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class, Hilbert Modules in Analytic Function Spaces, Tsinghua Sanya International Mathematics Forum (TSIMF), May 26, 2017.

  • Homogeneous bundles and operators in the Cowen-Douglas class, International Workshop on Operator Theory and its Applications (IWOTA), East China Normal University, Shanghai, July 26, 2018.

  • The Berger-Shaw theorem for a pair of commuting operators, Hilbert Modules in Analytic Function Spaces, Tsinghua Sanya International Mathematics Forum (TSIMF), Dec 30, 2019.

  • Spherical Operators, School of Mathematics 120th anniversary of the Hebai normal university, May 21, 2022.

    Invariant subspaces of the L2 space of the disc, Joint Spectra and related Topics in Complex Dynamics and Representation Theory, BIRS, Banff, May 21 - May 26, 2023.



  • Institute for Mathematical Sciences, Chennai, 1987

  • International Workshop on invariant subspaces, University of Delhi, 1987

  • Mehta Research Institute, Allahabad, 1987

  • Mehta Research Institute, Allahabad, 1989

  • Discussion meeting on Harmonic Analysis, IIT - Kanpur, 1990

  • Discussion meeting on Harmonic Analysis, IISc., Bangalore, 1992

  • Annual meeting, Indian Mathematical Soc., University of Poona, Pune, 1994

  • Central University, Hyderabad, 1996

  • Discussion meeting on Harmonic Analysis, ISI - Calcutta, 1998

  • Ramanujan Mathematical Society, Thirunelvelli, 1998

  • Workshop on Dynamical Systems and Ergodic Theory, Mumbai, 1999

  • Millenium Lectures on Functional Analysis, IIT-Gwauhati, 1999

  • Discussion meeting on Harmonic Analysis, IIT - Kanpur, 2000

  • International Workshop on functional Analysis,
    Cochin University of Science & Technology, August 2001

  • Annual Meeting of the Jammu Mathematical Society, February 2002

  • International Conference on Harmonic Analysis and Quantum groups,
    Cochin University of Science & Technology, January 2005

  • Indian Institute of Science, February 2006

  • Institute of Physics, Bhubaneswar, September 2006

  • Homogeneous operators on Hilbert spaces of holomorphic functions, Colloquium, Indian Institute of Science, Mar 2006.

  • Institute for Mathematical Sciences (IMSc), Chennai, August 2007

  • Discussion Meeting on non-commutative geometry and operator algebras, Feb 2008

  • Ramanujan Institute for Advanced Study in Mathematics, Mar 2008

  • Ramanujan Mathematical Society, Plenary talk
    Annual Meeting, IIT - Kanpur, May 2008.

  • Kerala University, Dec 2008

  • IISER Pune, October 2009

  • Kerala School of Mathematics, Calicut, Feb 2010

  • Conference on Mathematical Foundations of Quantum Mechanics
    IISER Kolkata, December 2010

  • Counting, INSPIRE, KIIT Bhubaneswar, January 14 and July 22, 2011.

  • Differentiation (?)!, Institute Colloquium (IISc), April 15, 2011.

  • Computing $\pi$, KVPY-11, IISER Trivandrum, June 21, 2011, 2011.

  • A tale of two hotels, INSPIRE, HNB Garhwal University, Srinagar Garhwal, November 12, 2011.

  • IIT, Chennai, Dec 22, 2011

  • Curvature Inequalities, SunderFest, IMSc, April 4 - Apr 6, 2012.

  • Delhi University, August 2012

  • Almora Mathematical Surveys, Almora, Sep 2012

  • Ramanujan Mathematical Society, Plenary talk
    Annual Meeting, New Delhi, Oct 2012

  • Recent advances in Operator Theory and Operator Algebras
    Indian Statistical Institute, Bangalore, Jan 2013

  • Quasi-invariant kernels, First Department Day, IISER - Kolkata, March 14 - 15, and Colloquium, IISER Pune, Sep 13, 2013.

  • Zeroes of polynomials, Science Academies Lecture workshop, Jain University, Bangalore, December 28, 2013.

  • The Bergman kernel and the Bergman metric, Recent Advances in Operator Theory and Operator Algebras, Indian Statistical Institute, Bangalore, December 15, 2014.

  • Homogeneous Vector Bundles and intertwining Operators for Symmetric Domains, Geometry of Banach Spaces and Operator Theory, March 27, 2015.

  • Curvature Inequalities for operators in the Cowen-Douglas class, Annual Conference of the RMS, IISER Mohalli, May 15, 2015, and also at MSI Belgaum, Feb 27, 2022.

  • Ethics in Science – the dos and don'ts and a short video clip from Nature: Reproducibility Crisis, SRFP 2016 - Special Lecture (Indian Academy of Sciences), June 17, 2016.

  • The bound of Varopolous and embedding of $\ell^1(n)$, Calcutta Mathematical Society, Dec 17 - 19, 2015 and Ramakrishna Mission Vidyamandir, September 27, 2016.

  • Role of the curvature in Operator theory, IIT Kanpur, December 14, 2016.

  • Grothendieck Inequality, R.K. Rubugunday Distinguished Lecture, Chennai Mathematical Institute (CMI), January 18, 2017.

  • The Polynomial Game and the Cantor Set, Pi Day, IISER Pune, March 11, 2017.

  • Fundamental Theorem of Calculus, IIT Dharwad, April 12, 2018.

  • Homogeneous Hermitian holomorphic vector bundles and the Cowen- Douglas class over bounded symmetric domains, Somesh Chandra Bagchi Memorial Lecture, Sep 11, 2018

  • Grothendieck Inequality,   Colloquium, ICTS, Bangalore, April 22, 2019.

  • The Bergman Kernel, Research Scholars Meet, Jammu University, August 22, 2019.

  • The Arveson-Douglas conjecture for semi-submodules, Conference on Functional Analysis @ IIT Bomby 2019, October 19, 2019.

  • A product formula for homogeneous characteristic functions, Plenary Lecture, Indian Mathematical Society, IIT Kharagpur, November 22, 2019.

  • Advanced Functional Analysis and its Applications, IIT Hyderabad, November 25 - 29, 2019.

  • Berger-Shaw Theorem,    KBSFest, ISI Bangalore, December 13, 2019.

  • 1+2+3 + ... = - 1/12, Gujarat University, December 22, 2019.

  • Real stability of polynomials, IIT Kanpur, December 25, 2019.

  • Science of Indias’ Tomorrow,    ANNIVERSARY MEETING, NIO Goa, INSA Dec 16 -18, 2019, and Sushil Kumar Banerji Memorial lecture, Indian Statistical Institute, Kolkata, February 28, 2020.

  • Which homogeneous operators are subnormal,     , Punjab University, Feb 14; IISER Bhopal Math Symposium, Mar 6, and WOTOA, Aug 26, 2020.

  • Mathematics of everything, Pre-Event of IISF 2020, CSIR-CSMCRI, Bhavnagar, Dec 18, 2020.

  • Determinant of an operator , IIT Kharagpur, Mar 03, 2021.

  • The euclidean ball and the polydisc,     , Ramakrishna Mission Centenary college, October 8, 2021

  • Games that mathematicians play,     , Netaji Subhas Open University, November 27, 2021

  • Ahlfors' Schwarz Lemma, Mathematical Sciences Institute Belgaum, Feb 25, 2022.

  • Arnold's proof of the nonexistence of a solution to the quintic equation, Identity, Maths Club of IISER Kolkata, Feb 25, 2022.

  • Around the Schwarz Lemma     , AIS Lectures, May 26, 2022.

  • Curvature Inequalities     , AIS Lectures, May 27, 2022.

  • Biholomorphic inequivalence of the euclidean ball and the poly-disc     , AIS Lectures, May 28, 2022.

  • Unstacking, Conway’s soldiers and Fibonacci numbers, Mathematics Department Colloquium BITS Pilani, K K Birla Goa Campus January 31, 2023.

  • Mackey Imprimitivity and commuting tuples of homogeneous normal operators, Bhagavatula Ramamurthy & Bhagavatula Saradamba Memorial Lecture, University of Hyderabad, March 07, 2024 and Ashoka University, April 02, 2024.



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