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Mathematical Sciences

Naiomi T. Cameron

Associate Professor of Mathematics and Associate Dean of the College of Arts and Sciences

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Albany

My scholarship lies in the field of algebraic and enumerative combinatorics.  The objects of study in my research have included the Riordan group, Fibonacci tableaux, combinatorial determinants and dessins d’enfants.  The main recurring theme of my research is the pursuit of new combinatorial insights which uncover new or illuminate existing algebraic knowledge.

Teaching

Courses I have taught include Introductory Statistics, Calculus, Discrete Mathematics, Linear Algebra, Differential Equations, Number Theory, Combinatorics, and Abstract Algebra.

Research

Publications:

  • N. Cameron, L. Matthews, A Motzkin variation on the tennis ball problem, Ars Combinatoria, 114 (2014), 145–152.
  • N. Cameron, K. Killpatrick, Symmetry and log-concavity results for statistics on fibonacci tableaux, Annals of Combinatorics, 17 (2013), no. 4, 603-618.
  • N. Cameron, A. Yip, Hankel determinants of sums of consecutive Motzkin numbers, Linear Algebra and its Applications,  434 (2011), 712–722.
  • A. Benjamin, N. Cameron, J. Quinn, C. Yerger, Catalan determinants–a combinatorial approach, Congressus Numerantum, Proceedings of the Twelfth Conference on Fibonacci Numbers and their Application, Vol. 200 (2010), 169–177.
  • N. Cameron, K. Killpatrick, $k$-ribbon Fibonacci tableaux, Discrete Mathematics, 309 (2009),  no. 4, 721–740. 
  • A. Benjamin, N. Cameron, J. Quinn, Fibonacci determinants–a combinatorial approach, Fibonacci Quarterly, 45 (2007), no. 1, 39–55.
  • N. Cameron, K. Killpatrick, Domino Fibonacci tableaux, Electronic Journal of Combinatorics, 13 (2006), no. 1, Research Paper 45, 29 pp.
  • N. Cameron, A. Nkwanta, On some (pseudo) involutions in the Riordan group, Journal of Integer Sequences, 8 (2005), no. 3, Article 05.3.7, 16 pp.
  • A. Benjamin, N. Cameron, Counting on determinants, American Mathematical Monthly, 112 (2005), 481–492.
  • N. Cameron, The combinatorics of even trees, Proceedings of the Thirty-first Southeastern International Conference on Combinatorics, Graph Theory and Computing (Boca Raton, FL, 2000).

Academic Credentials

Ph.D. 2002, B.S. 1995 Howard University

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