DEPARTMENT OF BASIC SCIENCES AND HUMANITIES

DR. STEPHEN P. A. A. DIAS BARRETO

Designation:Professor & Registrar
Qualification:
PHD Mathematics,Goa University
MSc Mathematics,Goa University
BSc Mathematics,University of Bombay
Experience :

Research: 1 year and 3 months
Teaching: 19 years and 3 months

Areas of Interest :
Operator Algebras, Operator Theory, Random Operators, Probability Theory and Quantum Statistical Mechanics
Email:
  • 19 years and 3 months Professor at PCCE : January 2010 till date,
  • Assistant Professor at PCCE :August 2002 to December 2009,
  • Lecturer at PCCE : July 1998 to June 1999 and November 2000 to July 2002 
  • NBHM (National Board for Higher Mathematics, DAE) Postdoctoral Fellow at the Indian Statistical Institute, Bangalore from July 1999 to July 2000 and at Goa University from August to October 2000
  • International Congress on Mathematical Physics (ICMP) , 2018 23rd to 28th July, 2018 International Association on Mathematical Physics / Montreal,Canada
  • International conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics, QP38 ,2nd to 6th of October, 2017 Association for Quantum Probability and Infinite Dimensional Analysis / Tokyo University of Science (TUS), Noda City, Japan
  • Workshop on Disordered Quantum Many-Bodied Systems ,27th October to 1st November October, 2013 ,Michael Aizenman and Others/ BIRS, Banff, Canada.
  • Spring School and International Conference on Product Systems and Independence in Quantum Dynamics ,7th to 16th March , 2011, Michael Schurmann and Others / Krupp Wissenchaftskolleg, Greifswald, Germany
  • Workshop on Geometry of Banach Spaces and Applications ,1st June to 13th June , 2009 Statistics and Mathematics Unit of Indian Statistical Institute / Indian Statistical Institute, Bangalore,
  • Programme on Mathematical Horizons for Quantum Physics ,24th of August to 6th September August, 2008 Institute for Mathematical Sciences,NUS/ National University of Singapore (NUS), Singapore.
  • Workshop on “Ergodic theory and von Neumann Algebras ,3rd to 13th of December December, 2007 ,Erwin Schrödinger International Institute for Mathematical Physics / Vienna, Austria
  • Workshop on “Recent Advances in Operator Theory and Operator Algebras-II”, 24th of December to 4th January December, 2001, Indian Statistical Institute, Bangalore Centre / Bangalore
  • International conference on “Spectral and Inverse Spectral Problems for Schrodinger Operators” 13th to 16th December December, 2000 Institute of Mathematical Sciences, Chennai, and Department of Mathematics, Goa University / Donapaula, Goa.
  • International workshop on “Classical and Non-Commutative Probability” 27th to 28th of June June, 2000 University of Greifswald / Greifswald, Germany,
  • International Conference on Noncommutative Algebra, Probability and Analysis in Action, University of Greifswald/ Alfred Krupp Koleg, Greifswald, Germany 20 – 25 September, 2021.
  • 42nd International Conference on Quantum Probability and Infinite Dimensional AnalysisAssociation of Quantum Probability and Infinite Dimensional Analysis (AQPIDA) /\Indian Statistical Institute, Bangalore, India 17 – 20 January, 2022
  • Workshop on Disordered Quantum Many-Bodied Systems Banff, Canada Michael Aizenman and Others Quantum Disordered Graded Lattice Systems October, 2013
  • 33rd Conference on Quantum Probability and Related Topics Luminy, France Association for Quantum Probability and Infinite Dimensional Analysis Disordered Fermion Systems on a Lattice ,October, 2012
  • International Symposium on Non Commutative Geometry, Number Theory and Mathematical Physics ,Bhubaneshwar, Orissa Institute of Mathematics and Applications, Bhubaneswar Lattice Fermionic Systems with Random Interactions January, 2011
  • International conference on Quantum
    Probability and Related Topics – Satellite Conference of ICM 2010 ,Bangalore-India, Association for Quantum Probability and Infinite Dimensional Analysis Spectral Properties of Disorderd Fermions on Lattices, August, 2010
  • Annual Conference of the Ramanujan Mathematical Society, Bangalore, India ,Ramanujan Mathematical Society On the type of von Neumann Algebra Associated with a Disordered System,May, 2009

  • International Conference, Quantum Probability, Information and Control Symposium(QPICS) Nottingham, United Kingdom Association for Quantum Probability and Infinite Dimensional Analysis Quantum Disordered systems, July, 2006
  • International Conference on Operator Theory  and Operator Algebras-III Bangalore, India Indian Statistical Institute and Department of  Mathematics. IISc, Bangalore Some Topics on Quantum Disordered Systems December, 2005
  • International Conference on Operator Theory , Non- Commutative Geometry and Quantum Probability Kolkata, India Indian Statistical Institute, kolkata Borchers Spectrum of Disordered Systems December, 2004
  • Joint India-AMS (American Mathematical Society), Mathematics Meeting Bangalore, India AMS On the Structure of KMS States of Disordered Systems December, 2003
  • International workshop on Classical and Non-Commutative Probability Greifswald, Germany University of Greifswald Arveson Spectrum of a Random Evolution June, 2000
  • International Conference on Quantum
    Probability and Infinite Dimensional Analysis (QP-IDA) Bangalore, India Association for Quantum Probability and Infinite Dimensional Analysis A Quantum Spin System with Random Interactions December, 1999
    • J. Ramanujan Math. Soc. Ramanujan Mathematical Society Uniqueness of Equilibrium State of a Quantum Spin System on a Graph June, 2012 23203110
    • Journal of Statistical Physics Springer Disordered fermions on lattices and their Spectral Properties April, 2011 10.1007/s10955-011-0197-8
    • Atti Sem. Mat. Fis., Univ. Modena e Reggio Emilia, LIII Univ. Modena Reggio Emilia, Modena Some Topics in Quantum Disordered Systems 2005 1825-1269
    • Commun. Math. Phys. Springer On the Structure of KMS States of Disordered Systems July, 2004,10.1007/s00220-004-1137-0
    • Journal of Functional Analysis Elsevier Type I Product Systems of Hilbert Modules 2004 10.1016/j.jfa.2003.08.003
    • Proc. Indian Acad. Sci. Indian Academy of Sciences A Quantum Spin System with Random Interactions I November, 2000 0253-4142
    • Goa University Preprint – A Quantum Spin System with Random Interactions II 1998
    • Goa University Preprint – A Quantum Spin System on an Infinite Graph 1996
  • International conference on Operator Algebras in Non-Equilibrium Statistical Mechanics 17th to 21st December December, 2012 Department of Basic Sciences and Humanities in association with the Department of Mathematics, Goa University / Bambolim, Goa Convenor
  • International conference on Operator Algebras in Non-Equilibrium Statistical Mechanics 17th to 21st December December, 2012 Department of Basic Sciences and Humanities in association with the Department of Mathematics, Goa University / Bambolim, Goa Convenor
  • Short Term Scientific Visits
    1.Visited Memorial University of Newfoundland’s Department of Mathematics and Statistics, St. John’s, Canada, from November 20 to December to 9, 20116.
    2. Visited McGill University’s Department of Mathematics and Statistics, Montreal, Canada, from November 1 to 8, 2013.
    3. Visited McGill University’s Department of Mathematics and Statistics, Montreal, Canada, from May 10 to June 2, 2013.
    4 .Visited University of Cottbus, Germany, for a period of one month in June 2000 in connection with the DST-DAAD project on “Tensor Product Systems of Hilbert Modules”.

    Funded Project : Participated in a joint Indo-German project entitled “Tensor Product Systems of Hilbert Modules” sponsored jointly by DST, India and DAAD, Germany from May 2000 to April 2002.