Department of Mathematics

faculty_2016
Faculty & Staff, Mathematics - Spring 2016

Melkamu Zeleke, Ph.D.

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Office: 3050 Sience Hall East
Phone: 973-720-2574
Email: zelekem@wpunj.edu
Office Hours: Tuesdays and Thursdays 8:30-9:30a

Department: Mathematics
Position: Professor of Mathematics

Area Specialization
Enumerative Combinatorics and Combinatorial Number Theory

Highlights of Administrative Experience and Service

  • Chairperson, Department of Mathematics, William Paterson University, September 2004-June 2010.
  • Assistant Chairperson, Department of Mathematics, William Paterson University, September 2003 - August 2004.
  • Member, College of Science & Health Executive Council, William Paterson University, September 2004-June 2010.
  • Member, College of Science & Health Strategic Initiatives Committee, September 2003-June 2010.
  • Member, Senate Council on University Core Curriculum (UCC), Fall 2009 - Spring 2014.
  • Member, Senate UCC Panel on Scientific and Quantitative Perspectives, Fall 2009 - present.
  • Member, University Sabbatical Committe, 2007-2008 & 2012-2013 academic years.
  • Faculty Senate Department Representative, 2001-2004.

Recent Presentations

  • 5th International Conference on Riordan Arrays and Related Topics, Busan, South Korea, June 2018 (5RART)
  • International Symposium on Applied Natural Science, Adama Science and Technology University, Adama, Ethiopia, January 14-16, 2016.
  • Algorithmic and Enumerative Combinatorics Summer School, Research Institute for Symbolic Computation, Johannes Kepler University, Hagenberg, Austria, August 2014.
  • Mathematics Seminar, William Paterson University of New Jersey, Spring 2014.
  • Lectures on Enumerative and Algebraic Combinatorics, Addis Ababa University, Addis Ababa, Ethiopia, December 2013.
  • INTEGERS 2013 – The Erdös Centennial Conference in Combinatorial Number Theory, University of West Georgia, Carrollton, GA, October 2013.
  • Experimental Mathematics Seminar, Rutgers University, NJ, April 2013. (YouTube link of the talk Part 1, Part 2)
  • Experimental Mathematics Seminar, Rutgers University, NJ, April 2012. (YouTube link of the talk Part 1, Part 2)
  • Mathematics Colloquium, Addis Ababa University, Addis Ababa, Ethiopia, February 2011. (Delivered while serving as US Fulbright Scholar in Ethiopia.)
  • From A = B to Z = 60: Conference in Honor of Doron Zeilberger's 60th Birthday, Rutgers University, NJ, May 2010. (YouTube link of the talk Part 1, Part 2)

 

Research Publications

  • On Exponential Pointed Structures, (with S. Asefa Fufa), under preparation.
  • On the Mobius Function of a Pointed Grated Lattice (with S. Asefa Fufa), Indian J. Pure Appl. Math., 49(1): 51-69 (2018).
  • On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers, Proceedings of The Erdös Centennial Conference in Combinatorial Number Theory (with M. Jani), INTEGERS 15A (2015) #A14.
  • On Generalization of Motzkin Numbers using k-Trees (with M. Jani), Ars Combinatoria, 89, 287 – 297 (2008).
  • A Bijective Proof of a Tennis Ball Problem (with M. Jani), Bulletin of Inst. Of Combinat. and its Appl., 41, 89 - 95 (2004).
  • Catalan Identities and k-trees, Congressus Numerantium, 165, 39 - 49 (2003).
  • Enumeration of K-Trees and Applications (with M. Jani & R.G. Rieper), Annals of Combinatorics 6,  375-382 (2002).
  • Skew Diagrams and Ordered Trees (with R.G. Rieper), Advances in Applied Mathematics 27, 671-681 (2001).
  • Valleyless Sequences (with R.G. Rieper), Congressus Numerantium 145, 33-42 (2000).
  • On Disjoint Covering Systems with Precisely One Repeated Modulus (with J. Simpson), Advances in Applied Mathematics 23, 322-332 (1999).
  • Examples of Noninjectivity for the Combinatorial Radon Transform, Journal of Difference Equations and Applications 5, 319 - 322 (1998).
  • On Injectivity of the combinatorial Radon transform of order 5 (with T. Amdeberhan), Journal Computational and Applied Mathematics 83, 251-255 (1997).

 

Doctoral Degree Thesis Supervised

    • Samuel A. Fufa, On the Mobius Function of Pointed Partitions and Pointed Exponential Structures, Addis Ababa University, Ethiopia, May 2015.

Masters Degree Projects Supervised

    • Esubalew Getie, Riordan Arrays and Enumeration Problems, Addis Ababa University, Ethiopia, Spring 2013.
    • Daniel Workneh, Pattern Avoiding Permutations, Addis Ababa University, Ethiopia, Spring 2013.
    • Temesgen Molla, Fibonacci Numbers, Schur Polynomials, and the Rogers-Ramanujan Identities, Addis Ababa University, Ethiopia, Spring 2011.
    • Thomas Berhanu, K-Trees and q-Catalan Numbers, Addis Ababa University, Ethiopia, Spring 2011.
    • Fufa Beyene, Survey of Fine and Motzkin Numbers, Addis Ababa University, Ethiopia, Spring 2011.

 Other Conference Presentations

    • 3rd Annual South American Conference on  Algebra, Number Theory & Combinatorics, Universidad Industrial de Santander, Bucaramanga, Colombia, July 2008.
    • Algebra Seminar, Universidad de Antioquia, Medellin, Colombia, July 2008.
    • Mathematics Colloquium, Colgate University, Hamilton, NY, November 2007.
    • 6th International Conference on Lattice Path Combinatorics, Eastern Tennessee University, Johnstown, TN, July 2007.
    • Experimental Mathematics Seminar, Rutgers University, Piscataway, NJ, March 2006.
    • 37th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Florida Atlantic University, Boca Raton, FL, March 2006.
    • The 2005 INTEGERS Conference, University of West Georgia, Carrollton, GA, October 2005.
    • International Conference on Paths, Permutations and Trees, Nankai University, Tianjin, P.R. China, February 2004.
    • Joint Mathematics Meetings, Contributed Papers, Baltimore, MD, January 2003.
    • 966th AMS Meeting, Stevens Institute of Technology, Hoboken, NJ, April 2001.
    • 9th Annual Faculty-Student Scholarship Day, William Paterson University, Wayne, NJ, October 2000.
    • 9th Quadrennial International Conference on Graph Theory, Combinatorics and Applications, Western Michigan University, Kalamazoo, MI, June 2000.
    • Mathematics Colloquium, Howard University, Washington, D.C., October 1999.
    • AMS Eastern Sectional Meeting, State University of New York, Buffalo, NY, April 1999.

       

      Awards and Fellowships

    • US Fulbright Scholar, Addis Ababa University, August 2010 – June 2011.
    • Distinguished Teaching Award, Temple University, April 1997.
    • DAAD, German Academic Exchange Fellowship, University of Griefswald, June 1992-Aug 1992.
    • DAAD, German Academic Exchange Inter-country Fellowship, Addis Ababa University, September 1990 - June 1992.
    • Gold Medalist, College of Natural Science, Addis Ababa University, July 1989.