Frederick Butler, Ph.D.

Frederick Butler
Kinsley School of Engineering, Sciences and Technology
Associate Professor, Mathematics
Contact Information
Appell Life Sciences, Room 320

Meet Frederick Butler


  • PhD, University of Pennsylvania (2004)
  • MA, University of Pennsylvania (2001)
  • BA, McDaniel College (1998)


  • Differential Equations
  • Math Structures
  • Graph Theory and Combinatorics
  • Modern Algebra I and II
  • Mathematics Seminar

Research Interests

  • Combinatorics-Rook Theory and Permutation Statistics
  • Mathematics Education

Recent Publications

  • Butler, F. (2022). Stirling-Euler-Mahonian triples of permutation statistics. In preparation.
  • Butler, F. & Butler, M. (2011). A matched-pairs study of interactive computer laboratory activities in a liberal arts math course. Australasian Journal of Educational Technology, 27(2), 192-203.
  • Butler, F, Cervesato, I., Jaggard, A., Scedrov, A. & Walstad, C. (2006). Formal analysis of Kerberos 5. Theoretical Computer Science, 367(1), 57-87.
  • Butler, F. (2006). Symmetry and unimodality in the q,x,y-hit numbers. Séminaire Lotharingien de Combinatoire 54A. Retrieved from
  • Butler, F. (2004). Rook theory and cycle-counting permutation statistics. Advances in Applied Mathematics, 33, 655-675.