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
My research interests are in discrete mathematics, including
probabilistic
methods,
asymptotic
enumeration, and some topics in number theory.
 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).

PartProducts of SRestricted 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) 482487.

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), 250257.

Limit distribution for the maximum
degree of a random recursive tree,
with
William
M.Y.Goh,
J. Comput. Appl. Math.
142 (1) (2002), 6182.
 The
Number of Distinct Part Sizes in a
Random Partition ,
with William M.Y.Goh
, Journal of Combinatorial Theory Ser A. 69
(1995) 149158.

How Random is the Characteristic
Polynomial of a Random Matrix?,
with Jennie C. Hansen, Mathematical Proceedings of the
Cambridge Philosophical Society 114(3) (1993),
507515.
 Gap
Free Set Partitions ,
with William M.Y.Goh
Random Structures and Algorithms
3(1) (1992), 918.

Carmichaels Lambda Function
with Paul Erdos and Carl Pomerance,
Acta Arith. 58 (1991), no. 4, 363385.

The Expected Order of a Random
Permutation
with William M.Y.Goh,
Bull.
London Math. Soc. 23(1) (1991), 3442.