Noor Muhammad

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Noor Muhammad
Born 15 April 1951
Abbottabad, Haripur District, North-West Frontier Province, Pakistan
Died 12 April 2004(2004-04-12) (aged 52)
Islamabad, Islamabad Capital Territory
Residence Islamabad, Pakistan
Citizenship Pakistan
Nationality Pakistani
Fields Mathematics
Institutions Quaid-i-Azam University, Pakistan
Universiti Brunei Darussalam, Brunei
University of Münster, Germany
International Centre for Theoretical Physics, Italy
Alma mater University of Peshawar, N.W.F.P.
Quaid-i-Azam University, Islamabad
Moscow State University, Russia.
Doctoral advisor Grigory Barenblatt
Notable students Dr. Muhammad Farooq
Known for his work on C*-algebra, Pseudo-differential operator, approximation theory, topological algebra, and symmetric topology
Influenced Abdus Salam
Notable awards Gold medal, Pakistan Mathematician Society

Noor Muhammad (15 April 1951 – 12 April 2004) was a notable Pakistani mathematician and mathematics writer who made an original contribution to the fields of C*-algebra, symmetric topology and pure mathematics.[1] He was the chairman of Department of Mathematics, in which he assumed this position in 2000 until 2002. He was a distinguished student of Russian mathematician dr. Grigory Barenblatt, and made significant efforts to the fields of topological algebras.

Life and education[edit]

Muhammad was born in Abbottabad, Haripur District where he completed his high school from there. In 1971, Muhammad gained his Bachelor of Science in Mathematics from University of Peshawar, followed by his Master of Science in Mathematics in 1973 from Quaid-i-Azam University. With a scholarship awarded by the Quaid-i-Azam University, Muhammad travelled to Soviet Union in 1979, and completed his thesis in 1983 under the direction of dr. Grigory Barenblatt from Moscow State University. His doctoral thesis covered the functional analysis, namely C*-algebras. He taught mathematics at the Moscow State University until 1984 and subsequently moved to Trieste, Italy the same year.[2]

International Centre for Theoretical Physics[edit]

Noor Muhammad joined International Centre for Theoretical Physics on the request of prominent theoretical physics and nobel laureate in Physics Dr. Prof. Abdus Salam. As a post-doctoral fellow, he also worked on P-Commutative Topological Algebras. From 1990 until 1995, he became an associate member of mathematician at ICTP. Noor Mohammad, at ICTP, published more than 30 articles in refereed international journals during the course of his career.[3]

Academic career in mathematics[edit]

He reluctantly returned to Pakistan where he joined Quaid-i-Azam University and became a chairperson of the Department of Mathematics. he produced a number of research papers on elliptic pseudo-differential operators over C*-algebras for compact manifold. He had also published papers on topics in approximation theory, derivation on topological algebras and multipliers of topological algebra.[citation needed]

In mathematics, functional analysis depends heavily upon topology, especially the branch of Functional Analysis that Dr. Noor Muhammad specialised in. His lectures notes on a first course on functional analysis, a copy of which is still available, are topological based. He was a close associate and college of dr. Qaiser Mushtaq, and had cordial relationship with him. In 2000, Dr. Noor Muhammad began to write college-level textbook on topology, however, after his death, the book is remained incompleted.[citation needed]


In 2003, Dr. Noor Muhammad, was diagnosed with a heart ailment. Soon after, he had heart surgery, which he barely survived. His friends and colleague in the Department of Mathematics advised him to take at least a semester off. Dr. Qaiser Mushtaq, who became a new head of the department, managed to arrange a substitute professor Dr. Akbar Azam, who was then teaching at the Government College University.[citation needed]

After about a semester's respite, Dr Noor Muhammad restarted lecturing in the department. He regularly attended the meetings.[citation needed]

According to the Dr. Qaisar Mustaq's memoir, Dr. Noor Muhammad was very tense in the PhD Committee Meeting that he attended one day before he died. Dr Noor Muhammad could not take the pressure any more and asked for leave half way through.[citation needed]

Next morning, he was pronounced dead. He did not live to marry off his daughter, enjoy driving in his newly bought Toyota car, and publish his book on topology. His death has deprived the Mathematics Department, Quaid-i-Azam University, of its sole Functional Analyst.[citation needed]

Research papers[edit]

  • "An explicit projection method for a system of nonlinear variational inequalities with different (γ,r)-cocoercive mappings", by Noor Muhammad.
  • "Double multipliers on topological algebras", L. A. Khan, N. Mohammad, and A. B. Thaheem, International Journal of Mathematics and Mathematical Sciences. Volume 22 (1999), Issue 3, Pages 629–636.
  • "A note on one-parameter groups of automorphisms", A. B. Thaheem and Noor Mohammad, International Journal of Mathematics and Mathematical Sciences
  • "Best approximations in topological vector spaces" by Noor Mohammad, A. B. Thaheem – 1987


  • Symmetric Topological Algebras and Applications by Noor Muhammad and Maria Fragoulopoulou.
  • The Topological Algebra and Mathematics, by Noor Muhammad (Incompleted)

See also[edit]


  1. ^ Mushtaq, Qaiser (2005). "A Manuscript Unpublished" (PDF). Pakistan Mathematical Society – Newsletter (Islamabad: Pakistan Mathematical Society (PakMS)) 4 (3): 6–8. ISSN 1816-2215. Retrieved 2010. 
  2. ^ Khan, Faisal Shah.; Ali, Muhammad Irfan; Saeed, Muhammad Srawar (2004), "Dr. Noor Muhammad (1951–2004)" (PDF), Pakistan Mathematical Society – Newsletter (Islamabad: Pakistan Mathematical Society) 3 (2): 50–57, ISSN 1816-2215 
  3. ^ (ICTP), International Centre for Theoretical Physics (2002). "Noor Muhammad". News from ICTP (Trieste). Retrieved 2010.