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Pepperdine | Seaver College
Kendra Killpatrick Faculty Profile

Kendra Killpatrick

Senior Associate Dean of Seaver College
Professor of Mathematics
Natural Science Division, Seaver College
TAC 320C
310.506.7796

Education

  • PhD in Mathematics, University of Minnesota, 1998
  • MS in Mathematics, University of Minnesota, 1997
  • BS in Mathematics and Biological Sciences, Stanford University, 1993, Graduated with Distinction

 

  • Cameron, N. and Killpatrick, K., “Statistics on Linear Chord Diagrams”, Discrete Mathematics and Theoretical Computer Science, Volume 21, No. 2, #11 (2019).
  • Cameron, N. and Killpatrick, K., "Inversion Generating Functions for Signed Pattern Avoiding Permutations", Electronic Journal of Combinatorics, Volume 24, Issue 1 (2017), P39.
  • Cameron, N. and Killpatrick, K. "Inversion Polynomials for Permutations Avoiding Consecutive Patterns", Advances in Applied Mathematics, Volume 67, (June 2015), 20-35.
  • Garrett, K. and Killpatrick, K., "Generalized Legendre-Stirling Numbers", Open Journals of Discrete Mathematics, Volume 4, No. 4 (2014).
  • Cameron, N. and Killpatrick, K. "Symmetry and Log-Concavity Results for Statistics on Fibonacci Tableaux", Annals of Combinatorics, Volume 17, Issue 4 (2013), pp.603-618.
  • Killpatrick, K., "On the Parity of Certain Coefficients for a q-Analogue of the Catalan Numbers", Electronic Journal of Combinatorics, Volume 19, Issue 4 (2012), P27.
  • Killpatrick, K., "Some Statistics for Fibonacci Tableaux", European Journal of Combinatorics, 30 (2009), 929-933.
  • Cameron, N. and Killpatrick, K., "k-Ribbon Fibonacci Tableaux", Discrete Mathematics, Volume 309, Issue 4, (6 March 2009), 721-740.
  • Killpatrick, K., "Evacuation and a Geometric Construction for Fibonacci Tableaux", Journal of Combinatorial Theory, Series A, 110 (2005) 337-351.
  • Egge, E, Haglund, J., Killpatrick, K., and Kremer, D., "A Schroder Generalization of Haglund's Statistic on Catalan Paths", Electronic Journal of Combinatorics, 10, (2003), no.1. Paper R16, 21pp.
  • Chappell, K., and Killpatrick, K., "The effects of concept-based instruction on the conceptual understanding and skill development of Calculus students", PRIMUS, March 2003, Volume XIII, Number 1. pp 17-37. Joint paper with K. Chappell.
  • Killpatrick, K., "A Combinatorial Proof of a Recursion for the q-Kostka Polynomials", Journal of Combinatorial Theory, Series A, 92, (2000), pg. 29-53.
  • Ph.D. Dissertation: "Recursions for the q-Kostka Polynomials", University of Minnesota Digital Dissertation Archives, 1998.
  • A Combinatorial Proof of a Recursion for the q-Kostka Polynomials, Journal of Combinatorial Theory, Series A, 92, (2000), pg. 29-53.
  • The Effects of Concept-based Instruction on the Conceptual Understanding and Skill Development of Calculus Students, PRIMUS, March 2003, Volume XIII, No. 1, pp. 17-37. Joint paper with K. Chappell.
  • A Schroder Generalization of Haglund's Statistic on Catalan Paths, Electronic Journal of Combinatorics, 10, (2003), no. 1. Paper R16, 21pp. Joint work with E. Egge, J. Haglund and D. Kremer.
  • Evacuation and a Geometric Construction for Fibonacci Tableaux, Journal of Combinatorial Theory, Series A, 110 (2005) 337-351.
  • Howard A. White Award for Teaching Excellence, Seaver College, 2005-2006
  • Math Department Graduate Professor of the Year, Colorado State University, 2001-2002
  • MAA Project NExT Fellow, 2000-2001
  • Member: Mathematical Association of America, American Mathematical Society, Association for Women in Mathematics

Topics

  • Combinatorics
  • Conceptual understanding versus skill development in Calculus 1 courses
  • Fibonacci Tableaux
  • Generalized Stirling Numbers
  • Pattern avoiding permutations
  • q-Catalan Polynomials and q,t-Catalan Polynomials

Courses

  • The Nature of Mathematics
  • Calculus I, II and III
  • Transition to Abstract Mathematics
  • Combinatorics
  • Algebraic Structures
  • Mathematics for Secondary Education