Dr. Abdullahi Umar
Dr. Abdullahi Umar Professor & Associate Dean of Graduate Studies
Teaching Areas
Research Interests

Professor, Department of Mathematics AND ASSOCIATE DEAN FOR GRADUATE STUDIES

Dr. Abdullahi Umar earned his PhD in Mathematics from the University of St Andrews, Scotland in 1992, following on his first class Hons BSc in Mathematics from Ahmadu Bello University, Zaria, Nigeria (1983).

After holding several positions in universities in Nigeria, Dr. Umar joined the King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi Arabia in 1997 as an assistant professor. He was promoted to the rank of Associate Professor at KFUPM in 2005. In 2007, he moved to Sultan Qaboos University (SQU), Oman, where he remained until 2014 when he moved to the Petroleum Institute, (now part of Khalifa University of Science and Technology) as an associate professor. While at SQU, he won a substantial research grant (approx. US$150,000) from The Research Council TRC of Oman for “Studies in semigroups of contractions mappings of a finite chain”.

Dr. Umar is an expert on the theory of semigroups of transformations, especially on their algebraic, combinatorial and rank properties. He has published more than 50 peer reviewed research papers (approx. 500 citations; h-index = 13 – Google Scholar). In 2015-16, a German mathematician and his coauthors, Billhardt et al. recognized the importance of his constructions (in his paper of 1994), by exhibiting certain universal properties it possesses and named $E(F_A)$ and $F_A$ as Umar band and Umar semigroup, respectively in his honor. It is one of the greatest achievements to see a mathematical object named after someone, more so during their lifetime. He also has interests in recreational mathematics: magic squares and cubes, and calendars.

As a faculty member Dr. Umar has co-supervised four PhD students and three MSc students to graduation, and currently co-supervising a PhD student. He is a journal referee for several international journals and is reviewer for Mathematical Reviews (since 2008). He is also currently a member of the Nigerian Mathematical Society (NMS, since 1987), Edinburgh Mathematical Society (EMS, since 2008), American Mathematical Society (AMS, since 2016) and Combinatorial and Mathematical Society of Australasia (CMSA, since 2011, now a life member).

Advisor to the following students & staffs: 8 undergraduate students and a mentor to Dr. Mo’tassem Al Arydah.

  • PhD, Mathematics, University of St. Andrews, Scotland, UK (1992)
  • MSc, Mathematics, Ahmadu Bello University, Zaria, Nigeria (1987)
  • BSc (Hons.), Mathematics, Ahmadu Bello University, Zaria, Nigeria (1983)
Teaching Areas
  • Algebra and Trigonometry II
  • Calculus I 
  • Calculus II
  • Finite Mathematics 
  • Applied Calculus
  • Calculus III
  • Differential Equations
  • Introduction to Sets and Structures
  • Introduction to Linear Algebra
  • Pre-Calculus
  • Foundation of Mathematics
  • Discrete Mathematics for ECCE
  • Combinatorics
  • Abstract Algebra I


At PI/KU, I have taught

  • Calculus II (MATH161/112)
  • Calculus III (MATH212/231)
  • Differential Equations (MATH261/206)
  • MATH241 (Probabilty and Statistics)
  • Modern Algebra (MATH 411)
  •  Linear Algebra (MATH 461/204).
Research Interests
  • Semigroups of mappings/transformations
  • Recreational mathematics: calendars, magic squares, and cubes
  • Studies in semigroups of finite contraction mappings of a finite chain