# Andrew Rajah Balasingam Gnanaraj

Andrew Rajah a/l Balasingam Gnanaraj B.Sc., Ph.D. USM Algebra, Groups and Moufang Loops Room no:124, Ext: 4780 andy@usm.my |

## Profile

Main research areas

- Moufang Loops
- Group Theory

Post-grad students graduated under main supervision:

- Chong Kam Yoon, M.Sc.
- Chee Wing Loon, Ph.D.
- Muatazz A. Bashir, M.Sc.
- Shuker Mahmud Al-Salem, Ph.D.

Short Biodata (< 100 words)

Graduated B.Sc. (Mathematics) USM in 1993. Continued with M.Sc. in USM in 1993 but converted to Ph.D. program in 1994. Graduated Ph.D. in 1997 with thesis title “Which Moufang Loops are Associative”. Employed as a lecturer in School of Mathematics, USM in 1997. Currently an Associate Professor after promotion in 2009. Mainly trying to determine orders for which all Moufang loops are necessarily associative and constructing minimally nonassociative Moufang loops for those orders for which existence could be established.

Sample publications within the last 5 years:

- WING LOON CHEE, STEPHEN M. GAGOLA III and ANDREW RAJAH, CLASSIFICATION OF MINIMAL NONASSOCIATIVE MOUFANG LOOPS OF ORDER pq3, International Journal of Algebra and Computation Vol. 23, No. 8 (2013) 1895–1908.
- ANDREW RAJAH and WING LOON CHEE, Moufang Loops of Odd Order
*p*_{1}^{2}*p*_{2}^{2}···*p*_{n}^{2}*q*^{3}, International Journal of Algebra, Vol. 5, 2011, no. 20, 965 – 975.

## Details

Full Name

Assoc. Prof. Dr. Andrew Rajah a/l Balasingam Gnanaraj

Academic Qualifications

B.Sc. (USM), Ph.D. (USM)

Current Professional Membership

Life Member, Malaysian Mathematical Sciences Society

Current Teaching and Administrative Responsibilities

Teaching: MAT222 – Further Differential Equations & MSS211 – Modern Algebra

Administrative Responsibilities:

a. Affairs Pertaining to B. Sc. Mathematics.

b. Chairman, Lecture Courses Committee.

c. Affairs Pertaining to Minor Projects.

d. Academic Chairman Pure Mathematics.

e. Program Chairman Pure Mathematics.

f. Chairman, Library Committee.

Previous Employment

- None -

Conferences and Training

Conferences attended/presented paper at:

a. VI th. National Symposium in Matematical Sciences, May 3-5, 1994.

b. National Colloquium, School of Mathematical Sciences, Penang, Malaysia, May 27-28, 1999.

c. Conference Loops ’99, Prague, Czech Republic, July 27 – August 1, 1999.

d. Regional Conference on “Integrating Technology in the Mathematical Sciences”, Penang, Malaysia, April 14-15, 2003.

e. Conference Loops ‘03, Prague, Czech Republic, August 5-17, 2003.

f. Invited Speaker, Asian Mathematical Conference, National University of Singapore, Singapore, July 20-23, 2005.

g. Second IMT-GT Regional Conference on Mathematics, Statistics and Applications, Penang, Malaysia, June 13-15, 2006.

h. Conference Loops ‘07, Prague, Czech Republic, August 14-25, 2007.

i. Invited Speaker, The 30th Ohio State - Denison Mathematics Conference, 21-23, 2010.

j. Invited Speaker, Special Session on "Quasigroups, loops, and nonassociative division algebras" at the American Mathematical Society Central Sectional Meeting, Notre Dame, Indiana, USA, November 5-7, 2010.

Research and Publications

Research: 20 years experience

Publications:

a. On Moufang loops of odd order (jointly with Leong Fook), Journal of Algebra 176 (1995), 265-270.

b. Moufang loops of odd order (jointly with Leong Fook), Journal of Algebra 181 (1996), 876-883.

c. All f-loops are groups (jointly with Leong Fook), Communications in Algebra 24 (1996), 385-394.

d. Moufang loops of odd order (jointly with Leong Fook), Journal of Algebra 184 (1996), 561-569.

e. Moufang loops of odd order (jointly with Leong Fook), Journal of Algebra 190 (1997), 474-486.

f. Split extension in Moufang loops (jointly with Leong Fook), Publicationes Mathematicae Debrecen 52 (1998), 33-42.

g. Moufang loops of order (jointly with Ena Jamal), Publicationes Mathematicae Debrecen 55 (1999), 47-51.

h. The Quadratic Cypher (jointly with Leong Fook), Proceedings of the National Colloquium, School of Mathematical Sciences, USM (1999), 54-57.

i. Possible orders of nonassociative Moufang loops (jointly with Orin Chein), Commentationes Mathematicae Universitatis Carolinae 41 (2000), 237-244.

j. Moufang loops of odd order , Journal of Algebra 235 (2001), 66-93.

k. Loops and the Lagrange property (jointly with Orin Chein, Michael Kinyon and Petr VojtÄ•chovský), Results in Mathematics 43 (2003), 74-78.

l. An alternative construction of the Moufang loop (jointly with Chong Kam Yoon), Proceedings of the 2nd IMT-GT Regional Conference on Mathematics, Statistics and Applications: Volume 1 (2006), 23-27.

m. Moufang Loops of Odd Order with non-trivial nucleus, (jointly with Chong Kam Yoon), Commentationes Mathematicae Universitatis Carolinae 49, 2 (2008), 301-307.

Consultancy

a. Program Latihan Guru Madrasah Indonesia (Indonesian Madrasah Teachers’ Training Program) at Universiti Sains Malaysia, in collaboration with the Indonesian Government, which involved a grant of RM400,000, Involved in Preparation of Evaluation Questions in Mathematics and teaching of a course in Linear Algebra, 1999.

b. External Examiner of Mathematics for the Centre for Matriculation and Foundation Studies, Asian Institute of Medicine, Science & Technology, Malaysia, in the Matriculation Program, (Honorarium of RM750 per year), 2003 – 2006.

c. External Examiner of Mathematics for both the Centre for Matriculation and Foundation Studies, and the Faculty of Engineering and Computer Technology, Asian Institute of Medicine, Science & Technology, Malaysia, in the Matriculation Program, (Honorarium of RM2,000 per year), 2006 – 2009.

d. External Examiner of Mathematics for both the Centre for Matriculation and Foundation Studies, and the Faculty of Engineering and Computer Technology, Asian Institute of Medicine, Science & Technology, Malaysia, in the Matriculation Program, (Honorarium according to services rendered), 2009 – 2011.

e. External Examiner of Mathematics for Surya College, (Honorarium according to services rendered), 2010 – 2012.

Community Service

a. Blood donor for 36 times, 1986 – 2006.

b. Organization of “State Level Mathematical Quiz for Lower Secondary School Students”, Penang, Malaysia, April 23, 1994.

c. Support and Services to The Penang Cheshire Home for the Disabled, Penang, Malaysia, Certificate of Appreciation given dated January 18, 2000.

d. Community Clean-Up Project organized by Dato’ Kee Phaik Cheen, MPPP (Local Municipal Council) and Excel Point Community Church, Penang, Malaysia, September 14, 2002.

e. Involvement in a “Blood Drive” together with Penang General Hospital and Excel Point Community Church, Penang, Malaysia, September 15, 2002.

f. Community Christmas Concert organized by Makro and Excel Point Community Church, Penang, Malaysia, December 21-22, 2002.

g. Teaching in “A Successful Life & Learning Camp” for Form 4 and Form 5 students, organized by Excel Point Community Church, Penang, Malaysia, June 11-12, 2004.

h. Counsellor for courting couples for Excel Point Community Church, Penang, Malaysia, 2006 – current.

i. Committee member, Parents-Teachers Association of SK Bukit Gambir, Penang, Malaysia, 2010.

j. Chairman, Joint Management Corporation, I-Regency/ The Pallazia, Jalan Bukit Gambir, Penang, Malaysia.

Other Relevant Informatiion

a. Best Ph. D. Thesis Award at the National Level, awarded jointly by PERSAMA (Malaysian Mathematical Society) and Sime Darby, Malaysia in 1998.

b. 21st Century Award for Achievement, awarded by the International Biographical Centre, Cambridge, England, December 12, 2003.