Dr. P.G ROMEO


Professor & Head
Department of Mathematics
Cochin University of Science And Technology
EMail : 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 20012002.
 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 SemigroupsII ; Crossconnections, 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 (ICAA10), 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, 1011July2013.
 Invited talk in the National WorkshopcumColloquium 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 (NCANT2012) ,Department of Mathematics, CUSAT, August 1618, 2012.
 Convener, Instructional Workshop on Semigroups and Applications, Department of Mathematics, CUSAT, February 2224, 2014.
 Convener, International Conference on Semigroups, Algebras and Operator Theory (ICSAOT2014) , Department of Mathematics, CUSAT, February 2628, 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.
