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Faculty and Staff

Melkamu Zeleke

Professor • Department of Mathematical Sciences

I joined William Paterson University in 1998 after earning my PhD in Mathematics from Temple University, where I worked under the mentorship of Doron Zeilberger, a distinguished Experimental Mathematician and passionate advocate for rethinking how we teach and engage with mathematics. Teaching mathematics with enthusiasm brings me immense joy, and the success of my students is my constant source of motivation. I am deeply committed to the belief that every individual has the innate ability to learn, including mathematics, and I work diligently to ensure my students grasp the concepts I present in class.
My primary research interest lies in Combinatorics, a field of modern mathematics with significant applications in computer science, probability theory, data analysis, and algorithms. I have published peer-reviewed research in respected mathematics journals, such as the Annals of Combinatorics and Advances in Applied Mathematics. Currently, my work focuses on Riordan arrays and their applications in Combinatorics. Riordan arrays, when combined with Shapiro’s multiplication rule, form a group that offers a unique framework for solving combinatorial problems. I am a Fellow of the Institute of Combinatorics & its Applications and serve as a referee for several prominent mathematics journals.
From July 2004 to June 2010, I had the privilege of serving as the Chair of the Mathematics Department. Currently, I am the Associate Dean of the College of Science and Health. Additionally, I am honored to have received the J. William Fulbright Foreign Scholarship Board award and served as a US Fulbright Scholar at Addis Ababa University in Ethiopia from August 2010 to June 2011.

Professional Interests

Conducting research in enumerative combinatorics and mentoring students.

Other Interests

Sports: Tennis, Basketball, and Soccer; World History; Classic Movies.

Degrees

PhD Mathematics, Temple University Philadelphia, PA

MS Mathematics, Addis Ababa University Addis Ababa, Ethiopia

BS Mathematics, Addis Ababa University Addis Ababa, Ethiopia

Specialization

Combinatorics and Number Theory

Representative Publications


Central Trinomial Numbers, Motzkin Trees, and the Riordan Group;


On Combinatorial Interpretations of Some Elements of the Riordan Group; Combinatorics, Graph Theory and Computing; Springer Proceedings in Mathematics & Statistics; 2024


On the Mobius Function of a Pointed Graded Lattice; , Indian Journal of Pure and Applied Mathematics; Volume 49, 2018
https://link.springer.com/article/10.1007/s13226-018-0255-x


On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers ; , Proceedings of INTEGERS 2013 conference: The Erdos Centennial; Volume 15A, 2015
http://math.colgate.edu/~integers/vol15a.html

Representative Presentations


Central Trinomial Numbers, Motzkin Trees, and the Riordan Group
9th International Conference on Riordan Arrays and Related Topics (9 RART) National Science Foundation
Washington, DC 2024


On Combinatorial Interpretations of Shapiro’s Identities Involving some Elements of the Bell Subgroup.
Joint Mathematics Meetings AMS Special Session American Mathematical Society
Baltimore, MD 2019


Riordan Arrays and their Applications in Combinatorics
International Science Symposium Adama Science and Technology University
Adama, 2016


On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers
Algorithmic and Enumerative Combinatorics Summer School Research Institute for Symbolic Computation (RISC)
Hagenberg, 2014

Awards and Honors

Fulbright
J. William Fulbright Scholarship Board
01/01/2010

Distinguished Teaching Award
Temple University
05/01/1997

Gold Medal for Outstanding Student of the Year
Addis Ababa University
07/01/1989

Notable Courses Taught

Riordan Arrays and their Applications in Combinatorics, Selected Topics in Algebraic & Enumerative Combinatorics, Advanced Discrete Mathematics, Ordinary Differential Equations, and Logic & Methods of Higher Mathematics.

3050 Hennings Science East

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