Faculty Research

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

Jenny Cox

Cox, J. & Ataide Pinheiro, W. (accepted for publication in January 2024). Advancing equitable and responsible research involving gender and sexuality within mathematics education. The Educational Forum.

Ataide Pinheiro, W. Childers, G., Cox, J., Lynn, R. (submitted November 2023). Powerful groups targeted for oppression: Queer high school students’ experiences in mathematics in the United States. Mathematics Education Research Journal.

Cox, J., Kaschner, S., & Krohn, M. (2024). An Intervention to Support Students Placed Below Introductory Coursework. PRIMUS, 1-17. doi.org/10.1080/10511970.2023.2289408

Cox, J. (2022). Compliance, competitiveness, and confidence: Investigating patterns in mathematics anxiety using a nuanced view of Gender. . DOI: 10.13140/RG.2.2.28147.60963

Burch, L., Tillema, E., Cox, J., Yavuz, S., & Sianturi, I. (2021). Productive mathematical meanings as a guide to analyzing algebra textbooks. In Olanoff, D., Johnson, K., & Spitzer, S.M. (Eds). In Productive Struggle: Persevering Through Challenges: Proceedings of the 43rd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Philadelphia. http://2021.pmena.org

Cox, J. & Jacobson, E. (2020). Mathematics anxiety as a mediator for gender differences in 2012 PISA mathematics scores. In Sacristán, A. & Cortés, J., (Eds.). Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, México. doi.org/10.51272/pmena.42.2020

Cox, J. (2019). A focus on factoring: Taking the difficulty out of Algebra students’ least favorite topic, Indiana Mathematics Teacher, Indiana Council of Teachers of Mathematics (ICTM), 18-21.

John Herr

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

A Matrix Characterization of Boundary Representations of Positive Matrices in the Hardy Space. Herr, John; Jorgensen, Palle; Weber, Eric. Comtemporary Mathematics.

Positive Matrices in the Hardy Space with Prescribed Boundary Representations via the Kaczmarz Algorithm. Herr, John; Jorgensen, Palle; Weber, Eric. Journal d’Analyse Mathematique.
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 5^th edition, published by Kendall-Hunt, Fall 2021.

Rasitha Jayasekare

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

Jayasekare, R. (2016). 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. (2021). 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  https://doi.org/10.1057/s41271-021-00282-1

Arora, P., Muehrcke, M., Russell, M., & Jayasekare, R. (2022). Impact of comparative effectiveness research on Medicare coverage of direct oral anticoagulants. Journal of Comparative Effectiveness Research, 11(15), 1105-1120.  https://doi.org/10.2217/cer-2021-0307

Kvapil, L., Kimpel, M., Jayasekare, R., Shelton, K. (2022). Using Gaussian mixture model clustering to explore morphology and standardized production of ceramic vessels: A case study of pottery from Late Bronze Age Greece, Journal of Archaeological Science: Reports. https://doi.org/10.1016/j.jasrep.2022.103543

William Johnston

Books in print:

Johnston, W., The Calculus of Complex Functions, AMS Press: MAA Textbook Series Vol. 71, Washington DC. (2022) ISBN 978-1-4704-6565-0  (https://bookstore.ams.org/text-71)

Johnston, W., The Lebesgue Integral for Undergraduates, AMS Press: MAA Textbook Series Vol. 27, Washington, DC. (2015) ISBN 978-1-93951-207-9  (https://bookstore.ams.org/text-27/)

Johnston, W., and McAllister, A., A Transition to Advanced Mathematics: A Survey Course, Oxford University Press, New York, (2009). ISBN 978-0-19-531076-4. (https://global.oup.com/us/companion.websites/9780195310764/)

Articles:

Johnston, W., A new paradigm for Cantor’s infinite cardinalities, submitted. (2024)

Johnston, W., Moore, S., and Wahl, R., Harmonic functions on four dimensions, ArXiv ( arXiv:2311.17033v2 ) (2024). 

W. Johnston, R. Wahl, Bicomplex matrices and operators: Jordan forms, invariant subspace lattice diagrams, and compact operators, ArXiv (https://arxiv.org/abs/2305.13219) (2023).

Johnston, W., Makdad, C., A Comparison of Norms: Bicomplex Root and Ratio Tests and an Extension Theorem, The American Mathematical Monthly, 128 (2021): 525-533. (https://www.tandfonline.com/doi/full/10.1080/00029890.2021.1898871)

C. Cowen, W. Johnston, R. Wahl, Constructing invariant subspaces as kernels of commuting matrices, Linear Algebra and its Applications, 583(2019): 46-62. (https://www.sciencedirect.com/science/article/pii/S0024379519303544)

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 (2017) (https://www.tandfonline.com/doi/pdf/10.1080/10511970.2016.1188431)

Johnston, W., The weighted Hermite polynomials form a basis for L²(R), The American Mathematical Monthly, 121(3), (March 2014): 249-253. (https://www.jstor.org/stable/10.4169/amer.math.monthly.121.03.249)

Johnston, W. and McAllister, A., A survey transition course, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 22:1, (January 2012): 30-42. (https://www.tandfonline.com/doi/full/10.1080/10511970.2010.489200)

Johnston, W., A condition for absence of singular spectrum with an application to perturbations of self-adjoint Toeplitz operators, American Journal of Mathematics, 113 (1991): 243-267. (https://www.jstor.org/stable/2374907 )

Scott Kaschner

Symmetrization of Rational Maps: Arithmetic Properties and Families of Lattès Maps of P^k (with B. Hutz and T. Gauthier). Conformal Geometry and Dynamics, 27(03), 2023, 98-117.

Spectra of Some Weighted Composition Operators on the Ball (with T. Le, C. Makdad, B. Rempfer, D. Thompson, D. Winters). Acta Sci Math Szeged, 2023, 1–15.

Dissonance, Harmony, and Cultural Conflict in Interdisciplinary Co-Teaching (with A. Neihaus). Philosophy of Mathematics Education Journal, June 2023.

Linear Transformations on Vector Spaces (with A. Russell). Private Academic Library Network of Indiana (PALNI), 2023.

Dynamical Differences in Respiratory Syncytial Virus (with R. Heumann, C. Duncan, C. Stobart). Bulletin of Mathematical Biology, 84(1), 2022, 1–16.

Spectra of Weighted Composition Operators with Quadratic Symbols (with D. Thompson, A. McFarland, J. Doctor,T. Hodges). Concrete Operators, 9, 2022, 75–85.

Dissonance, Harmony, and Cultural Conflict in Interdisciplinary Co-Teaching (with A. Neihaus). Psychology of Mathematics Education – North America Proceedings, 2022, 988–993.

Geometric Limits of Julia Sets for Sums of Power Maps and Polynomials (with M. Brame). Complex Analysis and Its Synergies, 6(3), 2020, 1–8.

Logical Misconceptions on True-False Assessments in Early Undergraduate Mathematics (with S. Durst), Problems, Resources, and Issues in Mathematics Undergraduate Studies, May, 2019, 1–12.

Complex Perspective for the Projective Heat Map Acting on Pentagons (with R. Roeder), Conformal Geometry and Dynamics of the American Mathematical Society, 21(9), 2017, 247–263.

Rational Maps of CP^2 with No Invariant Foliation (with R. Perez and R. Roeder), Bulletin de la Société Mathématique de France, 144(1), 2016, 1–19.

Mohammad Patwary

Modeling extreme rainfall in two major cities in Bangladesh. Submitted– under review (with Dey, A. K.) (2023).

Patwary, M. and Das, K. (2023). Forecasting stock indices with the Covid-19 infection rate as an exogenous variable. Peer J Computer Science, 9:e1532. DOI: https://doi.org/10.7717/peerj-cs.1532.

Kenny, A., Solomon, D., Patwary, M., and Das, K. (2022). Sparse Regression with Clustered Predictors. Journal of Statistical Research, 56 (1), 37-53. DOI: https://doi.org/10.3329/jsr.v56i1.63945.

Patwary, M. and Biswas, S. (2021) Application of GEE Models for Assessing Maternal Health Complications. Applied Mathematics, 12, 563-575. DOI: https://doi.org/10.4236/am.2021.127040.

Amber Russell

Russell, A., Graham’s variety and perverse sheaves on the nilpotent cone, Journal of Algebra, Volume 557, (2020), Pages 47-66, ISSN 0021-8693, (https://doi.org/10.1016/j.jalgebra.2020.04.002)

Rider, L., Russell, A. Formality and Lusztig’s Generalized Springer Correspondence. Algebras and Representation Theory, 24, 699–714 (2021). (https://doi.org/10.1007/s10468-020-09966-w)

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

R. Wahl, Kernels of adjoints of composition operators with multivalent symbol via a formal adjoint, Rocky Mountain Journal of Mathematics 37, number 4 (2007), pp.1349-1361.

R. Wahl, Composition operators with multivalent symbol, Acta Sci. Math. (Szeged) 66 (2000), pp. 755-768.
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

R. Brent, C. Pomerance, D. Purdum, and J. Webster, Algorithms for the Multiplication Table Problem, Integers, Vol 21, A92, 2021.

J. Sorenson, N. Sorenson, and J. Webster, An Algorithm and Estimates for the Erdos-Selfridge Function, Proceedings of the Fourteenth Algorithmic Number Theory Symposium. 2020.

J. Sorenson and J. Webster, Two Algorithms to Find Primes in Patterns, Mathematics of Computation, 89 (2020), no 324.

A. Shallue and J. Webster, Fast Tabulation of Challenge Pseudoprimes, Proceedings of the Thirteenth Algorithmic Number Theory Symposium. 2019.

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,  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.

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.