Dr. P.G ROMEO
Professor & Head
Department of Mathematics
Cochin University of Science And Technology
E-Mail : romeo_parackal@yahoo.com
RESEARCH AND TEACHING EXPERIENCE
  • PhD from university of Kerala, 1993.
  • Worked as post doctoral fellow at Centre for Math.Science from 1993 to 1995.
  • Assistant Professor at S. N.College, Nattika from 1995- 2001.
  • Assistant Professor at T. M. Govt. College Tirur from 2001-2002.
  • Worked as Associate Professor at G. E. C Thrissur from 2002 to 2011.
  • Professor at Department of Mathematics CUSAT from 2011 onwards.
  • Title of the Thesis : Cross connections of concordant semigroups
MAJOR FIELDS OF INTEREST
  • Algebraic Theory of Semigroups.
  • Linear Algebra.
  • Module Theory.
  • Functional Analysis.
  • Theory of Categories.
  • Algebraic Topology.
RESEARCH PUBLICATIONS (International Journals)
  • Universal Regular Semigroup of a Concordant Semigroup, Bull. Calcutta Math. Soc 88, 7 - 36 (1996).
  • Concordant Semigroups and Balanced Categories, The Southeast Asian Bulletin of Mathematics, (2007) 31; 949 - 961.
  • Fundamental Weakly abundant semigroups, Journal of  Algebra and Discrete Structures, Vol.7 (2009), No1, pp. 43 - 51
  • Concordant categories and semigroups, Advances in Algebra, Vol 3, No 1, (2010) pp 63 - 77.
  • Fundamental Representation of Weakly Adequate Semigroups, Advances in Algebra, Vol 4, No.1 (2011) pp 1 - 8.
  • Coextensions of Abundant Semigroups, The Southeast Asian Bulletin of Mathematics, (2011), 35, 1 - 5.
  • On Category of S - Sets, Journal of Algebra and Discrete Structures, Vol.9 (2011) No 1, pp. 19 - 29.
  • Natural Partial Order on Some Class of Semigroups; (jointly with M.S Jisha), International Journal of Algebra, Vol. 8 ( 2014) No. 10, 479 - 484.
  • On Rees Matrix Semirings (jointly with R. Akhila), Advances in Algebra, Vol 7 ( 2014).
BOOKS PUBLISHED
  • Structure of Concordant Semigroups-II ; Cross-connections, Academic Publishing AG&Co Saarbrucken Dudweiler LandstraBe 99, 66123 Saarbrucken Germany 2010.
  • Publications in National/International Conferences 15 Numbers.
BOOKS EDITED
  • Tensors, Fractals and Integral transforms. Department of Mathematics, Govt. Engineering College, Thrissur, 2009.
COURSES TAUGHT DURING THE LAST FIVE YEARS
  • For PhD Course work
    Theory of Semigroups , Theory of Generalized Inverses
  • For M.Phil course
    Algebra, Group Representation Theory.
  • For MSc course
    Abstract Algebra, Linear Algebra, Algebraic Topology, Functional Analysis and Real Analysis.
INVITED TALKS DURING THE LAST THREE YEARS
  • International Conference on Algebra and its Applications (ICAA-10), Department of Mathematics, Aligarh Muslim University, Aligarh, February 20 - 22 2011.
  • Invited talk given in the International Conference on Groupoids, Semigroups and Automata, Department of Mathematics, University of Kerala, August 2011.
  • Talk on Rees Matrix Semigroup over a Band given in the 11 conference of International Academy of Physical Sciences ( CONIAPS - XI ), June 19 - 21, 2011.
  • Invited lectures at the vacation training programme at the National Academy of Sciences, Allahabad, India, June 12 - 13, 2011.
  • Invitedtalk On Weakly Orthodox Semigroups in the National Conference, Govt. College Kattapana, November 28 - 30, 2012.
  • Invited Talk given in the National Seminar on Algebra organized by Department of Mathematics, University of Kerala, 26 th March 2013.
  • Invited talk at the Workshop on Syllabus Revision for P.G.Courses in Mathematics organized by Department of Mathematics, University of Kerala, 10-11July2013.
  • Invited talk in the National Workshop-cum-Colloquium on Applicable Mathematics in Basic Science Education & Research organized by Srinivasa Ramanujan Institute for Basic Science under KSCSTE during 05 - 07 April 2013.
  • Invited talk on von Neumann Algebras and Biordered Sets in the International Conference Algebra and Discrete Mathematics by the Department Mathematics, Govt. College Kattapana during March 04 - 06, 2014.
  • Talk on "Singular Value Decompositions" in the training programme on "Machine learning techniques and its applications" organized by department of computer Science and Engineering, College of Engineering, Cherthala, March 2014.
  • Talk on "Generalized Inverses and Factorization of Matrices" in the UGC National Seminar on Advance Mathematical Analysis and Operator Theory organized by Department of Mathematics, Aquinas College, Kochi, January 23 - 24, 2014.
  • Talk on "Inverse and Generalized Inverses" in the UGC National seminar at Cochin College, Kochi, Octaber - 2014.
  • Talk on "Moore Penrose Inverses and Inverse Semigroups" Dept. of Mathematics, Maharajas College, Eranakulam, October 2014.
  • Invited talk entitled "Biordered sets and Von Neumann Regular Rings" at the International Conference on Algebra and its Applications (ICAA - 2014), Department of Mathematics, Aligarh Muslim University, Aligarh, December 15 - 17, 2014.
NATIONAL / INTERNATIONAL SEMINARS ORGANIZED
  • Convener, National Conference on Algebra and Number Theory (NCANT-2012) ,Department of Mathematics, CUSAT, August 16-18, 2012.
  • Convener, Instructional Workshop on Semigroups and Applications, Department of Mathematics, CUSAT, February 22-24, 2014.
  • Convener, International Conference on Semigroups, Algebras and Operator Theory (ICSAOT-2014) , Department of Mathematics, CUSAT, February 26-28, 2014.
OTHER SPECIAL DISTINCTION
  • Mentor/ Resource person for INSPIRE Programme, Department of Science and Technology, NewDelhi.
DETAILS OF MEMBERSHIP HELD
  • Life member Kerala Mathematical Association, also acted as chapter secretary and executive committee member for the period 2001 - 2004.
  • Member in the Board of Studies (U.G) of the University of Calicut for the period 2007 - 2010.
  • Life member Indian Mathematical Association, 2013.