Jamshid Moori (SENIOR PROFESSOR  OF MATHEMATICS)   

School of Mathematical Sciences

  University of KwaZulu-Natal

P Bag X01,  Scottsville 3209,  Pietermaritzburg, SOUTH AFRICA

Phone (W): +27 33 260 5649,   Phone (H): +27 33 3473 265

Fax: +27 33 260 5648,  Cell: 0828725674    Email:  moori@ukzn.ac.za           

RESEARCH INTERESTS:  I do research in the areas of Finite Simple Groups, Representation Theory of Finite Groups  and Applications of Finite Groups to Codes, Combinatorial Designs and Geometries. My contributions began with my MSc and PhD work.  Most of my refereed papers are published in  the Journal of Algebra,  Journal of London Mathematical Society, Communications in Algebra, Journal of Group Theory, European Journal of  Combinatorics and  Discrete Mathematics. All these papers are reviewed (or are in the waiting list to be reviewed) by the Mathematical Reviews.  Presently I have two PhD students working with me on Codes and Designs from Finite Groups and Representation Theory. I have acted as an external examiner for various PhD and MSc dissertations, and as a referee for various international journals.  I have been  acting as a reviewer for the Mathematical Reviews since 1990.  

My Erdos Number is 3: Moori - J D Key - N J Calkin - Erdos.

My Mathematics Genealogy: Moori - D Livingstone - A Aitken - E Whittaker - A R Forsyth - A Cayley.

TEACHING EXPERIENCE:  I have taught various courses at under-graduate, honours and post-graduate levels in Iran, UK, USA and South Africa. For under-graduate and service courses, class sizes varied from less than ten to large classes of up to 350 students. 

bulletUnder-graduate Courses:  Abstract Algebra; Advanced Calculus; Calculus;  Complex Analysis;  Discrete Mathematics; Galois Theory; Group Theory;  Linear Algebra; Linear Transformations and Functions of Several Variables;  Number Theory; Real Analysis; Ring Theory; Theory of Differential Equations. 
bulletHonours and Post-graduate Courses: Finite Simple Groups; Further Linear Algebra; Group Theory; Permutation and Linear Groups;  Representation Theory of Finite Groups; Rings and Modules. 
bulletService Courses : Linear Algebra; General Mathematics; Differential and Integral Calculus for Engineers; Differential and Integral Calculus for Life Sciences; Algebra and Number Theory, and Discrete Mathematics for Computer Sciences; Quantitative Methods for Commerce and Finance.
 
CURRENT RESEARCH PROJECTS:  The following are my current research projects, which are supported by the NRF (National Research foundation of South Africa) and University of KwaZulu-Natal Research Funds.   

1. Computerised Documentation of the Finite Groups and Combinatorial Structures:  The use of computing machines is influencing the current trends in a wide variety of fields of modern algebra. The utilization of ideas from modern algebra in other branches of pure mathematics together with their application to areas of modern applied mathematics (e.g. coding theory, graph theory ) has generated a demand for efficient computation in Finite Groups, Rings, Modules and Algebraic Number Fields. GAP and MAGMA are systems that support convenient and efficient computation with groups and other structures. They have already made significant contributions to the solution of problems in many areas of mathematics.   
  
2. Clifford-Fischer Matrices and Group Extensions:  In this area we are  continuing our research on the method of Clifford-Fischer Matrices and its applications for computing the character tables of group extensions (split and non-split cases).  Research students registered for masters and doctoral degrees are  contributing to this project.   
  
3. Generations and Spread of Finite Simple  Groups: This will be the continuation of my earlier work  and work with Dr M S Ganief. The research presently carried out in collaboration with Dr F Ali and Dr J Bradley (postdoctoral fellow).  

4. Codes and Designs Related to Finite Simple Groups: Research is carried out in collaborations with Professor J D Key (Clemson, USA) and Dr B Rodrigues (UKZN-Durban).  
 

MOST RECENT PUBLICATIONS: 

1. Some  binary codes from symplectic geometry of odd characteristic, Utilitas Mathematica, 67 (2005), 121-128. (With J D Key and B Rodrigues). MR2137926 (2006e:94072)

2. A self-orthogonal doubly even code invariant under the M^{c}L:2 group, J. Comb. Theory, Series A, 110 (2005), 53--69. (With B Rodrigues). MR2128966 (2006a:05174)

3. The permutation actions of the symmetric groups S_{n} on the groups Z_{m}ⁿand \overline {Z_{m}ⁿ}, Quaestiones Mathematicae, 28 (2005), 179--193. (With K. Zimba). MR2146388 (2006c:20020)

4. Fischer-Clifford matrices of B(2,n), Quaestiones Mathematicae, 29 (2006), 9--37. (With K Zimba). MR2209789 (2006m:20014)               

5.  Binary codes from graphs on triples and permutation decoding, Ars Combinatoria, 79 (2006), 11--19. (With J D Key and B Rodrigues). MR2218255 (2006k:94181)
6. On the exact spread of the sporadic simple groups, Communications in Algebra, 35(8) (2007), 2588--2599. (With J Bradley).
MR2345803 (2008g:20029)
7. Some designs and codes invariant under the simple group Co_2, J. of Algerbra, 316 (2007), 649--661. (With B Rodrigues).
MR2358607  

8. Fischer-Clifford matrices of the non-split group extension 2^6.U4(2), Quaestiones Mathematicae, 31 (2008), 27--36. (With F Ali). MR2404644 (2008m:20013)

9. On the ranks of the Janko simple groups J1, J2, J3 and J4, Quaestiones Mathematicae, 31 (2008), 37--44. (With F Ali). MR2404645 (2009a:20026)
10. On the affine subgroup of the symplectic group, Far East J. Math. Sci, to appear. (With B Rodrigues).
11. A self-orthogonal doubly even code invariant under the M^{c}L group, Ars Combinatoria, to appear. (With B Rodrigues).
12. Partial permutation decoding for some binary codes from graphs on triples, Ars Combinatoria, to appear. (With J D Key and B Rodrigues).
13. ome ternary codes invariant under the simple group M^{c}L:2, Ars Combinatoria, to appear. (With B Rodrigues).

14. Ternary codes from graphs on triples, Discrete Mathematics, to appear. (With J D Key and B Rodrigues).

bd14565_.gif (183 bytes) FULL PUBLICATIONS LIST:   PDF;  DVIbd14565_.gif (183 bytes) REVIEWS OF MY PAPERS (requires access to MathSciNet)

bd14565_.gif (183 bytes)Talks (NATO ASI): Lecture I and II; Lecture III

bd14565_.gif (183 bytes) My   Short  CV:   PDF; DVI

bd14565_.gif (183 bytes) Postgraduate Opportunities

bd14565_.gif (183 bytes)Course Information:

Math211 (Introduction to Algebra and Number Theory); Math340 (Abstract Algebra) Math751 (Further Group Theory)

Finite Groups and Representation Theory (A course given at AIMS , African Institute for Mathematical Sciences)

 

bd14565_.gif (183 bytes)NATO ASI: Programme and Pictures; DrawingByKWilson

bd14565_.gif (183 bytes) PRESTIGIOUS SCIENTIFIC AWARD FOR Ayoub Basheer (PG Student)

bd14565_.gif (183 bytes) Happy NowRooz

bd14565_.gif (183 bytes) SanDiego (January 2008): Poster; Pic1; Pic2

Birmingham  (December  2006): MSM4P14 Class

bd14565_.gif (183 bytes) AIMS (February 2006): Group Picture

bd14565_.gif (183 bytes)SAMS Congress (November 2005: Photo1; Photo2;

bd14565_.gif (183 bytes) Groups at St Andrews 2005: Photo1; Photo2 ;  P CameronA Seress

bd14565_.gif (183 bytes) SAMS Congress (November 2004): Photo1; Photo2; Photo3

bd14565_.gif (183 bytes)  Fun Walk (June 2004): Photo1; Photo2

bd14565_.gif (183 bytes) Persepolis (Takht-e-Jamshid): Pic1; Pic2; Pic3  bd14565_.gif (183 bytes)Cyrus the Great: Tomb; Pic1

 

USEFUL LINKS

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