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Math and Actuarial Science Background
Mathematics, Statistics & Actuarial Science

Faculty Research

Congratulations to the following professors who have recently published their research:

John Herr

 Herr, John; Palle Jorgensen, Weber, Eric.  (2017) Linear Algebra and its Applications (accepted for future publication)

A Matrix Characterization of Boundary Representations of Positive Matrices in the Hardy Space. Herr, John; Jorgensen, Palle; Weber, Eric. Comtemporary Mathematics. (accepted for future publication)

Positive Matrices in the Hardy Space with Prescribed Boundary Representations via the Kaczmarz Algorithm. Herr, John; Jorgensen, Palle; Weber, Eric. Journal d'Analyse Mathematique. (accepted for future publication)
https://doi.org/10.1090/conm/706/14211

Fourier Series for Singular Measures, with Eric Weber, 2015.  ArXiver 1503.04856

Singular Measure Reproducing Kernels Within the Hardy Space.  Submitted for publication in a Contemporary Mathematics volume in March 2017.

A Characterization of Boundary Representations of Positive Matrices in the Hardy Space via the Abel Product, with Eric Weber and Palle Jorgensen, 2018. Linear Algebra and Its Applications.
https://doi.org/10.1016/j.laa.2018.02.023

On the Existence of Complex Hadamard Submatrices of the Fourier Matrices, with Bailey Bond and R. Alexander Glickfield, 2019. Demonstratio Mathematica, Vol 52, Iss 1.
https://doi.org/10.1515/dema-2019-0001

Karen Holmes

AR212 Win, Lose, or Draw workbook published by Kendall-Hunt in Fall 2013. Second edition Fall 2014 and third edition is currently at the publishers and will be ready for either Summer 2016 or Fall 2016.

Rasitha Jayasekara

Mellis B, Soto P, Bruce CD, Lacueva G, Wilson AM, Jayasekare R (2018) Factors affecting the number and type of student research products for chemistry and physics students at primarily undergraduate institutions: A case study. PLoSONE 13(4): e0196338.

Crawford, Novak, and Jayasekare, Volunteerism, Alcohol Beliefs, and First-Year Colege Students' Drinking Behaviors: Implications for Prevention
The journal of Primary Prevention 40.4 (2019): 429-448.
https://link.springer.com/article/10.1007/s10935-019-00558-z

Modeling Discrete Stock Price Changes using a Mixture of Poisson Distributions, Journal of the Korean Statistical Society, 2016, doi:10.1016/j.jkss.2016.01.002.

Arora, P., Johnson, A., Jayasekare, R., Desai K., Association between marijuana use and nonmedical prescription opioid use in the United States: are we shifting from one epidemic to another?. Journal of Public Health Policy (2021).
https://doi.org/10.1057/s41271-021-00282-1

Bill Johnston

The Lebesgue Integral for Undergraduates, MAA Press, Washington, DC. ISBN 978-1-93951-207-9*  Published by Mathematical Association of America Textbooks 

Johnston, W., Webster, J., and Wilson, C., An introductory research experience in mathematics for undergraduates, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies,  00(0): 1–10, 2016. ISSN: 1051-1970 (Print) 1935-4053 (Online).

Johnston, W., The weighted Hermite polynomials form a basis for L2(R), The American Mathematical Monthly, 121(3), (March 2014):249-253.

Johnston, W. and McAllister, A., A survey transition course, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 22:1, (January 2012): 30-42.

Scott Kaschner

Rational Maps of CP² with No Invariant Foliation (with R. Perez and R. Roeder), Bulletin de la Société Mathématique de France.  September 2015.

Symmetrization of Rational Maps: Arithmetic Properties and families of Lattès Maps of Pk   (with B. Hutz and T. Gauthier). Submitted to The Conformal Geometry and Dynamics. March 2019.

Logical Misconceptions on True-False Assessments in Early Undergraduate Mathematics (with S. Durst). Problems, Resources, and Issues in Mathematics Undergraduate Studies.  2016.

Geometric limits of Julia sets for sums of power maps and polynomials (with M. Brame), Complex Analysis and Its Synergies. 2019.

Amber Russell

L. Rider, A. Russell, Perverse Sheaves on the Nilpotent Cone and Lusztig’s Generalized Springer Correspondence. Proceedings of Symposia in Pure Mathematics, 92 (2016). arXiv:1409.7132

Rebecca (Becky) Wahl

C. Cowen, R. Wahl, Commutants of Finite Blaschke Product Multiplication Operators, Contemporary Mathematics 638, (2015), pp. 99-

C. Cowen, R. Wahl, Shift-Invariant subspaces invariant for composition operators on the Hardy Hilbert space, Proceedings of the American Mathematical Society 142, no. 12 (2014): 4143-4154.

Jonathan Webster

B. Johnston, C. Wilson, and J. Webster An Introductory Research Experience in Mathematics for Undergraduates, accepted to PRIMUS, and available online.

J. Sorenson and J. Webster Strong Pseudoprimes to Twelve Prime Bases, accepted to Mathematics of Computation, available online.

M. Bauer and J. Webster, Computations in Cubic Function Fields of Characteristic Three, Contributions to Discrete Mathematics, Vol. 8, No. 1, 2013.

Chris Wilson

An Introductory Research Experience in Mathematics for Undergraduates. With coauthors, Jonathan Webster and William Johnston. Accepted for publication in Problems, Resources, and Issues in Mathematics Undergraduate Studies; to appear.

Constructing the hereditary crossed product order containing a given crossed product order and a criterion for weakness. Journal of Algebra and Its Applications, September 2015.

Strategic curricular decisions in Butler University’s actuarial science major. Problems, Resources, and Issues in Mathematics Undergraduate Studies, Volume 24(9-10), 2014, pages 820-830.

Hereditary crossed product orders over discrete valuation rings. Journal of Algebra, Volume 371, 1 December 2012, pages 329-349.