Eric Schmutz

@drexel.edu: Eric.Jonathan.Schmutz
Mathematics Department
Off Campus Winter 2021

Courses Winter 2021

• Math 332 Abstract Algebra II
• Math 220 Mathematical Reasoning

Research

• Selected papers.
  • Permutations with equal orders
    with Huseyin Acan, Charles Burnette, Sean Eberhard, James Thomas, to appeqr in Combinatorics, Probability, and Computing.
  • Periods of iterations of mappings over finite fields with restricted preimage sizes
    with R.Martins, D.Panario,and C.Qureshi, ACM Trans. Algorithms 16 (2020).
  • Periods of Iterated Rational Functions over a Finite Field
    with Charles Burnette. Int. J. Number Theory 13, 1301 (2017). https://doi.org/10.1142/S1793042117500713
  • Representing Random Permutations as the Product of Two Involutions
    with Charles Burnette, OJAC , Issue 11 (2016).
  • Part-Products of S-Restricted Compositions
    (with Caroline Shapcott), Appl. Anal. Discrete Math. 7, no. 1, 2013
  • Period Lengths for Iterated Functions
    Combinatorics, Probability, and Computing 20,(2011), 289 - 298.
  • Rational Points on the Unit Sphere
    Centr.Eur.J.Math 6 (2008) 482-487.
  • The Expected Order of a Random Unitary Matrix ,
    Journal of Group Theory, 11 (4), 2008.
  • Splitting Fields for Characteristic Polynomials of Matrices with Entries in a Finite Field,
    Finite Fields Appl. 14(1) (2008), 250--257.
  • Limit distribution for the maximum degree of a random recursive tree,
    with William M.Y.Goh, J. Comput. Appl. Math. 142 (1) (2002), 61--82.
  • The Number of Distinct Part Sizes in a Random Partition ,
    with William M.Y.Goh , Journal of Combinatorial Theory Ser A. 69 (1995) 149-158.
  • How Random is the Characteristic Polynomial of a Random Matrix?,
    with Jennie C. Hansen, Mathematical Proceedings of the Cambridge Philosophical Society 114(3) (1993), 507--515.
  • Gap Free Set Partitions ,
    with William M.Y.Goh Random Structures and Algorithms 3(1) (1992), 9--18.
  • Carmichaels Lambda Function
    with Paul Erdos and Carl Pomerance, Acta Arith. 58 (1991), no. 4, 363--385.
  • The Expected Order of a Random Permutation
    with William M.Y.Goh, Bull. London Math. Soc. 23(1) (1991), 34--42.