{"id":524,"date":"2021-10-06T16:52:38","date_gmt":"2021-10-06T16:52:38","guid":{"rendered":"https:\/\/www.butler.edu\/arts-sciences\/math-stats-actuarial\/faculty-research\/"},"modified":"2026-01-30T09:26:58","modified_gmt":"2026-01-30T14:26:58","slug":"faculty-research","status":"publish","type":"page","link":"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/faculty-research\/","title":{"rendered":"Mathematical Sciences Faculty Research"},"content":{"rendered":"<section class=\"wysiwyg wysiwyg-primary-block alignfull\" >\n\t<div class=\"container grid-default wysiwyg__container\">\n\t\t\t\t\t\t<nav class=\"sidebar-menu \" aria-label=\"Site Menu\" id=\"page-nav\">\n\t\t<div class=\"sidebar-menu__wrapper\">\n\t\t\t<header class=\"sidebar-menu__header\">\n\t\t\t\t<span class=\"sidebar-menu__headerLabel\">Mathematical Sciences Menu<\/span>\n\n\t\t\t\t\t\t\t\t<button class=\"sidebar-menu__mobileToggle\" title=\"Toggle Menu\" :aria-expanded=\"mobileOpen\"><\/button>\n\t\t\t\t\t\t\t<\/header>\n\n\t\t\t<ul class=\"sidebar-menu__list\" v-show=\"mobileOpen\">\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/math-stats-actuarial\/mathematics\/\" class=\"sidebar-menu__listLink\" >Mathematics Program<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/math-stats-actuarial\/actuarial-science\/\" class=\"sidebar-menu__listLink\" >Actuarial Science Program<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/math-stats-actuarial\/statistics\/\" class=\"sidebar-menu__listLink\" >Statistics Program<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/data-science\/\" class=\"sidebar-menu__listLink\" target=\"_blank\">Data Science Program<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/math-stats-actuarial\/additional-minors\/\" class=\"sidebar-menu__listLink\" >Additional Minors<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/internships\/\" class=\"sidebar-menu__listLink\" target=\"_blank\">Mathematical Sciences Internships<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"\/arts-sciences\/mathematical-sciences\/faculty-staff\" class=\"sidebar-menu__listLink\" target=\"_blank\">Mathematical Sciences Faculty &#038; Staff<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem initial-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/student-research\/\" class=\"sidebar-menu__listLink\" >Student Research Opportunities<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem hide-overflow\">\n\t\t\t\t\t\t<a href=\"\/arts-sciences\/mathematical-sciences\/professional-associations\" class=\"sidebar-menu__listLink\" >Professional Associations<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem hide-overflow\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/courses\/\" class=\"sidebar-menu__listLink\" >Course Descriptions &#038; Frequency of Offerings<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem hide-overflow\">\n\t\t\t\t\t\t<a href=\"\/arts-sciences\/mathematical-sciences\/tutoring-lab\" class=\"sidebar-menu__listLink\" >Mathematical Sciences Tutoring Lab<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem hide-overflow\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/actuarial-board-visitors\/\" class=\"sidebar-menu__listLink\" >Actuarial Science Board of Visitors<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem hide-overflow\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/student-awards\/\" class=\"sidebar-menu__listLink\" >Student Awards<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li class=\"sidebar-menu__listItem hide-overflow\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/actuarial-science\/sliit-program\/\" class=\"sidebar-menu__listLink\" >SLIIT 2+2 Program<\/a>\n\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t<\/ul>\n\t\t<\/div>\n\t\t\t\t<button class=\"sidebar-menu__desktopToggle\" v-text=\"desktopLabel\" :aria-expanded=\"desktopOpen\">More Links<\/button>\n\t\t\t<\/nav>\n\t\t\t\t<div class=\"wysiwyg__wrapper wysiwyg__wrapper--hasSidebar\">\n\t\t\t<!-- content from editor -->\n\t\t\t<div class=\"wysiwyg__content wysiwyg__contentContainer\">\n\t\t\t\t<div class=\"acf-innerblocks-container\">\n\n<h1 class=\"wp-block-heading\" id=\"h-faculty-research\">Faculty Research<\/h1>\n\n\n\n<p>Congratulations to the following professors who have recently published their&nbsp;research.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-jenny-cox\">Jenny Cox<\/h2>\n\n\n\n<p>Cox, J.&nbsp;&amp; Ataide Pinheiro, W. (2024). Advancing equitable and responsible research involving gender and sexuality within mathematics education.&nbsp;<em>The Educational Forum.<\/em>&nbsp;doi.org\/10.1080\/00131725.2024.2339218&nbsp;<\/p>\n\n\n\n<p>Cox, J., Kaschner, S., &amp; Krohn, M. (2024). An Intervention to Support Students Placed Below Introductory Coursework.&nbsp;<em>PRIMUS<\/em>, 1-17. doi.org\/10.1080\/10511970.2023.2289408<\/p>\n\n\n\n<p>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<\/p>\n\n\n\n<p>Burch, L., Tillema, E., Cox, J., Yavuz, S., &amp; Sianturi, I. (2021). Productive mathematical meanings as a guide to analyzing algebra textbooks. In&nbsp;Olanoff, D., Johnson, K.,&nbsp;&amp;&nbsp;Spitzer, S.M.&nbsp;(Eds).&nbsp;In&nbsp;<em>Productive Struggle: Persevering Through Challenges: Proceedings&nbsp;of the 43rd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education,<\/em><em>&nbsp;<\/em>Philadelphia.&nbsp;<a href=\"http:\/\/2021.pmena.org\/\">http:\/\/2021.pmena.org<\/a><\/p>\n\n\n\n<p>Cox, J. &amp; Jacobson, E. (2020). Mathematics anxiety as a mediator for gender differences in 2012 PISA mathematics scores. In Sacrist\u00e1n, A. &amp; Cort\u00e9s, J., (Eds.).&nbsp;<em>Mathematics Education Across Cultures:<\/em>&nbsp;<em>Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education<\/em>, M\u00e9xico. doi.org\/10.51272\/pmena.42.2020<\/p>\n\n\n\n<p>Cox, J.<strong>&nbsp;<\/strong>(2019). A focus on factoring: Taking the difficulty out of Algebra students\u2019 least favorite topic,&nbsp;<em>Indiana Mathematics Teacher,&nbsp;<\/em>Indiana Council of Teachers of Mathematics (ICTM), 18-21.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-john-herr\">John Herr<\/h2>\n\n\n\n<p>Herr, John; Jorgensen, Palle; Weber, Eric. (2017) <em>Linear Algebra and its Applications..<\/em><\/p>\n\n\n\n<p><em>A Matrix Characterization of Boundary Representations of Positive Matrices in the Hardy Space<\/em>. Herr, John; Jorgensen, Palle; Weber, Eric. Comtemporary Mathematics. <\/p>\n\n\n\n<p><em>Positive Matrices in the Hardy Space with Prescribed Boundary Representations via the Kaczmarz Algorithm<\/em>. Herr, John; Jorgensen, Palle; Weber, Eric. Journal d&#8217;Analyse Mathematique.<br><a href=\"https:\/\/doi.org\/10.1090\/conm\/706\/14211\">https:\/\/doi.org\/10.1090\/conm\/706\/14211<\/a><\/p>\n\n\n\n<p><em>Fourier Series for Singular Measures<\/em>, with Eric Weber, 2015.&nbsp; ArXiver 1503.04856<\/p>\n\n\n\n<p><em>Singular Measure Reproducing Kernels Within the Hardy Space<\/em>.&nbsp; Submitted for publication in a Contemporary Mathematics volume in March 2017.<\/p>\n\n\n\n<p><em>A Characterization of Boundary Representations of Positive Matrices in the Hardy Space via the Abel Product<\/em>, with Eric Weber and Palle Jorgensen, 2018. Linear Algebra and Its Applications.<br><a href=\"https:\/\/doi.org\/10.1016\/j.laa.2018.02.023\">https:\/\/doi.org\/10.1016\/j.laa.2018.02.023<\/a><\/p>\n\n\n\n<p><em>On the Existence of Complex Hadamard Submatrices of the Fourier Matrices<\/em>, with Bailey Bond and R. Alexander Glickfield, 2019. Demonstratio Mathematica, Vol 52, Iss 1.<br><a href=\"\/\/doi.org\/10.1515\/dema-2019-0001\">https:\/\/doi.org\/10.1515\/dema-2019-0001<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-karen-holmes\">Karen Holmes<\/h2>\n\n\n\n<p><em>AR212 Win, Lose, or Draw&nbsp;workbook<\/em>&nbsp;5<sup>th<\/sup>&nbsp;edition,&nbsp;published by Kendall-Hunt, Fall&nbsp;2021.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rasitha-jayasekare\">Rasitha Jayasekare<\/h2>\n\n\n\n<p>Burke, J. L., Novosel, E. C., Kipnis, D. G., &amp; Jayesekere, R. R. (2025). Adding Libraries to the Equation: Mathematical Sciences\u2019 Underutilization of Academic Librarians.&nbsp;Issues in Science and Technology Librarianship, (110).&nbsp;<a href=\"https:\/\/doi.org\/10.29173\/istl2857\">https:\/\/doi.org\/10.29173\/istl2857<\/a><\/p>\n\n\n\n<p>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. <em>PLoSONE<\/em> 13(4): e0196338.<\/p>\n\n\n\n<p>Crawford, Novak, and Jayasekare (2019). Volunteerism, Alcohol Beliefs, and First-Year Colege Students&#8217; Drinking Behaviors: Implications for Prevention. <em>The journal of Primary Prevention<\/em> 40.4: 429-448. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10935-019-00558-z\">https:\/\/link.springer.com\/article\/10.1007\/s10935-019-00558-z<\/a><\/p>\n\n\n\n<p>Jayasekare, R. (2016). Modeling Discrete Stock Price Changes using a Mixture of Poisson Distributions.  &nbsp;<em>Journal of the Korean Statistical Society<\/em>, 2016, doi:10.1016\/j.jkss.2016.01.002.<\/p>\n\n\n\n<p>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?.&nbsp;<em>Journal of Public Health Policy<\/em>&nbsp; <a href=\"https:\/\/doi.org\/10.1057\/s41271-021-00282-1\">https:\/\/doi.org\/10.1057\/s41271-021-00282-1<\/a><\/p>\n\n\n\n<p>Arora, P., Muehrcke, M., Russell, M., &amp; Jayasekare, R. (2022).&nbsp;Impact of comparative effectiveness research on Medicare coverage of direct oral anticoagulants.&nbsp;<em>Journal of Comparative Effectiveness Research<\/em>,&nbsp;11(15), 1105-1120.&nbsp;&nbsp;<a href=\"https:\/\/doi.org\/10.2217\/cer-2021-0307\">https:\/\/doi.org\/10.2217\/cer-2021-0307<\/a><\/p>\n\n\n\n<p>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, <em>Journal of Archaeological Science: Reports<\/em>.&nbsp;<a href=\"https:\/\/doi.org\/10.1016\/j.jasrep.2022.103543\">https:\/\/doi.org\/10.1016\/j.jasrep.2022.103543<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-william-johnston\">William Johnston<\/h2>\n\n\n\n<p>Books in print:<\/p>\n\n\n\n<p>Johnston, W.,&nbsp;<em>The&nbsp;Lebesgue Integral for Undergraduates<\/em>, AMS Press: MAA Textbook Series Vol. 27, Washington, DC. (2015) ISBN 978-1-93951-207-9&nbsp; (<a href=\"https:\/\/bookstore.ams.org\/text-27\/\">https:\/\/bookstore.ams.org\/text-27\/<\/a>)<\/p>\n\n\n\n<p>Johnston, W.,&nbsp;<em>The Calculus of Complex Functions<\/em>, AMS Press: MAA Textbook Series Vol. 71, Washington DC. (2022) ISBN 978-1-4704-6565-0 &nbsp;(<a href=\"https:\/\/bookstore.ams.org\/text-71\">https:\/\/bookstore.ams.org\/text-71<\/a>)<\/p>\n\n\n\n<p>Johnston, W., and McAllister, A.,&nbsp;<em>A Transition to Advanced Mathematics: A Survey Course<\/em>, Oxford University Press, New York, (2009). ISBN 978-0-19-531076-4. (<a href=\"https:\/\/global.oup.com\/us\/companion.websites\/9780195310764\/\">https:\/\/global.oup.com\/us\/companion.websites\/9780195310764\/<\/a>)<\/p>\n\n\n\n<p>Articles:<\/p>\n\n\n\n<p>Johnston, William and Webster, Jonathan, Light the Undergraduate Research Flame: Starting a Mathematics Research Camp at Your Institution,&nbsp;<em>MAA Focus<\/em>, 45:2, (April\/May 2025): 38-41.<\/p>\n\n\n\n<p>Johnston, William and Wahl, Rebecca, Idempotent vector spaces and their linear transformations,&nbsp;<em>Concrete Operators<\/em>, 11:10 (October 2024): 0003-0015.&nbsp;&nbsp;<a href=\"https:\/\/doi.org\/10.1515\/conop-2024-0003\">https:\/\/doi.org\/10.1515\/conop-2024-0003<\/a><\/p>\n\n\n\n<p>Johnston, W., A new paradigm for Cantor\u2019s infinite cardinalities,&nbsp;<em>submitted<\/em>. (2024)<\/p>\n\n\n\n<p>Johnston, W., Moore, S., and Wahl, R., Harmonic functions on four dimensions, ArXiv (&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2311.17033v2\">arXiv:2311.17033v2<\/a>&nbsp;) (2024).&nbsp;<\/p>\n\n\n\n<p>W. Johnston, R. Wahl,&nbsp;Bicomplex matrices and operators: Jordan forms, invariant subspace lattice diagrams, and compact operators, ArXiv (<a href=\"https:\/\/arxiv.org\/abs\/2305.13219\">https:\/\/arxiv.org\/abs\/2305.13219<\/a>) (2023).<\/p>\n\n\n\n<p>Johnston, W., Makdad, C., A Comparison of Norms: Bicomplex Root and Ratio Tests and an Extension Theorem,&nbsp;<em>The American Mathematical Monthly<\/em>, 128 (2021): 525-533. (<a href=\"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00029890.2021.1898871\">https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00029890.2021.1898871<\/a>)<\/p>\n\n\n\n<p>C. Cowen, W. Johnston, R. Wahl, Constructing invariant subspaces as kernels of commuting matrices,&nbsp;<em>Linear Algebra and its Applications,&nbsp;<\/em>583(2019):&nbsp;46-62. (<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0024379519303544\">https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0024379519303544<\/a>)<\/p>\n\n\n\n<p>Johnston, W., Webster, J., and Wilson, C.,&nbsp;An introductory research experience in mathematics for undergraduates,&nbsp;<em>PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies<\/em>,&nbsp; 00(0): 1\u201310, 2016.&nbsp;ISSN: 1051-1970 (2017) (<a href=\"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10511970.2016.1188431\">https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10511970.2016.1188431<\/a>)<\/p>\n\n\n\n<p>Johnston, W.,&nbsp;The weighted Hermite polynomials form a basis for L<sup>2<\/sup>(R),&nbsp;<em>The American&nbsp;Mathematical Monthly<\/em>, 121(3), (March 2014): 249-253. (<a href=\"https:\/\/www.jstor.org\/stable\/10.4169\/amer.math.monthly.121.03.249\">https:\/\/www.jstor.org\/stable\/10.4169\/amer.math.monthly.121.03.249<\/a>)<\/p>\n\n\n\n<p>Johnston, W. and McAllister, A.,&nbsp;A survey transition course,&nbsp;<em>PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies<\/em>, 22:1, (January 2012): 30-42. (<a href=\"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10511970.2010.489200\">https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10511970.2010.489200<\/a>)<\/p>\n\n\n\n<p>Johnston, W., A condition for absence of singular spectrum with an application to perturbations of self-adjoint Toeplitz operators,&nbsp;<em>American Journal of Mathematics<\/em>, 113 (1991): 243-267. (<a href=\"https:\/\/www.jstor.org\/stable\/2374907\">https:\/\/www.jstor.org\/stable\/2374907<\/a>&nbsp;)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-scott-kaschner\">Scott Kaschner<\/h2>\n\n\n\n<p>Symmetrization of Rational Maps: Arithmetic Properties and Families of Latt\u00e8s Maps of P^k (with B. Hutz and T. Gauthier).&nbsp;<i>Conformal Geometry and Dynamics<\/i>, 27(03), 2023, 98-117.<\/p>\n\n\n\n<p>Spectra of Some Weighted Composition Operators on the Ball (with T. Le, C. Makdad, B. Rempfer, D. Thompson, D. Winters).&nbsp;<i>Acta Sci Math Szeged<\/i>, 2023, 1\u201315.<\/p>\n\n\n\n<p>Dissonance, Harmony, and Cultural Conflict in Interdisciplinary Co-Teaching (with A. Neihaus).&nbsp;<i>Philosophy of Mathematics Education Journal<\/i>, June 2023.<\/p>\n\n\n\n<p><i>Linear Transformations on Vector Spaces<\/i>&nbsp;(with A. Russell). Private Academic Library Network of Indiana (PALNI), 2023.<\/p>\n\n\n\n<p><a href=\"https:\/\/blue.butler.edu\/~skaschne\/Dynamical_Differences_in_RSV.pdf\">Dynamical Differences in Respiratory Syncytial Virus<\/a> (with R. Heumann, C. Duncan, C. Stobart). <i>Bulletin of Mathematical Biology<\/i>, 84(1), 2022, 1\u201316.<\/p>\n\n\n\n<p><a href=\"https:\/\/par.nsf.gov\/biblio\/10351912-spectra-weighted-composition-operators-quadratic-symbols\" target=\"_blank\" rel=\"noreferrer noopener\">Spectra of Weighted Composition Operators with Quadratic Symbols <\/a>(with D. Thompson, A. McFarland, J. Doctor,T. Hodges). <i>Concrete Operators<\/i>, 9, 2022, 75\u201385.<\/p>\n\n\n\n<p>Dissonance, Harmony, and Cultural Conflict in Interdisciplinary Co-Teaching (with A. Neihaus).&nbsp;<i>Psychology of Mathematics Education &#8211; North America Proceedings<\/i>, 2022, 988\u2013993.<\/p>\n\n\n\n<p>Geometric Limits of Julia Sets for Sums of Power Maps and Polynomials (with M. Brame).&nbsp;<i>Complex Analysis and Its Synergies<\/i>, 6(3), 2020, 1\u20138.<\/p>\n\n\n\n<p>Logical Misconceptions on True-False Assessments in Early Undergraduate Mathematics (with S. Durst),&nbsp;<i>Problems, Resources, and Issues in Mathematics Undergraduate Studies<\/i>, May, 2019, 1\u201312.<\/p>\n\n\n\n<p>Complex Perspective for the Projective Heat Map Acting on Pentagons (with R. Roeder), <i>Conformal Geometry and Dynamics of the American Mathematical Society<\/i>, 21(9), 2017, 247\u2013263.<\/p>\n\n\n\n<p>Rational Maps of CP^2 with No Invariant Foliation (with R. Perez and R. Roeder),&nbsp;<i>Bulletin de la Soci\u00e9t\u00e9 Math\u00e9matique de France<\/i>, 144(1), 2016, 1\u201319.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-mohammad-patwary\">Mohammad Patwary<\/h2>\n\n\n\n<p>Haque, M. M., Islam, M. I., Rabbani, M., Das, D., Schwichtenberg, A., Bansal, N., Soron, T. R., Akhter, S., Parveen, S., Begum, A.,&nbsp;<strong>Patwary, M. S. A<\/strong>, Schmidt, A., Franczak, B., Ahmed, S. I., &amp; Ahamed, S. I. (2025). Study Results of mCARE: Developing, Deploying, and Analysing the End-to-End Results of a Mobile-Based Remote Monitoring Tool for Children with Autism Spectrum Disorder in Bangladesh. EAI Endorsed Transactions on Pervasive Health and Technology, 11. DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.4108\/eetpht.11.9981\">https:\/\/doi.org\/10.4108\/eetpht.11.9981<\/a>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>Dey, A. K. and&nbsp;<strong>Patwary, M. S. A<\/strong>. (2025) Utilizing non-stationary extreme value model to quantify extreme rainfall in two major cities in Bangladesh. Stochastic Environmental Research and Risk Assessment, 39, 2281-2296. DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1007\/s00477-025-02969-3\">https:\/\/doi.org\/10.1007\/s00477-025-02969-3<\/a><\/p>\n\n\n\n<p>Haque, M. M., Zarif, M. I. I., Rabbani, M., Das, D., Schwichtenberg, A., Bansal, N., Soron, T., Parveen, S., Akhter, S., Begum, A.,&nbsp;<strong>Patwary, M. S. A.,&nbsp;<\/strong>Schmidt, A., Ahmed, S. I., and Ahamed, S. I. (2024\/2025). mCARE: Integrating Mobile Phones, Caregivers, and Health Practitioners to Provide Regular Monitoring and Care for the Children with ASD in Bangladesh. In: Kondylakis, H., Triantafyllidis, A. (eds) Pervasive Computing Technologies for Healthcare. Pervasive Health 2024. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 612. Springer, Cham. DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1007\/978-3-031-85575-7_4\">https:\/\/doi.org\/10.1007\/978-3-031-85575-7_4<\/a><\/p>\n\n\n\n<p>Modeling extreme rainfall in two major cities in Bangladesh.&nbsp;Submitted\u2013 under review&nbsp;(with Dey, A. K.) (2023).<\/p>\n\n\n\n<p><strong>Patwary, M<\/strong>.&nbsp;and Das, K. (2023). Forecasting stock indices with the Covid-19 infection rate as an exogenous variable.&nbsp;<em>Peer J Computer Science<\/em>, 9:e1532. DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.7717\/peerj-cs.1532\">https:\/\/doi.org\/10.7717\/peerj-cs.1532<\/a>.<\/p>\n\n\n\n<p>Kenny, A., Solomon, D.,&nbsp;<strong>Patwary, M<\/strong>.,<strong> <\/strong>and Das, K. (2022). Sparse Regression with Clustered Predictors. <em>Journal of Statistical Research<\/em>, 56 (1), 37-53. DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.3329\/jsr.v56i1.63945\">https:\/\/doi.org\/10.3329\/jsr.v56i1.63945<\/a>.<\/p>\n\n\n\n<p><strong>Patwary, M.<\/strong>&nbsp;and Biswas, S. (2021) Application of GEE Models for Assessing Maternal Health Complications. <em>Applied Mathematics, <\/em>12, 563-575. DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.4236\/am.2021.127040\">https:\/\/doi.org\/10.4236\/am.2021.127040<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-amber-russell\">Amber Russell<\/h2>\n\n\n\n<p>Russell, A., <em>Graham&#8217;s variety and perverse sheaves on the nilpotent cone<\/em>, Journal of Algebra, <strong>Volume 557<\/strong>, (2020), Pages 47-66, ISSN 0021-8693, (<a href=\"https:\/\/doi.org\/10.1016\/j.jalgebra.2020.04.002\">https:\/\/doi.org\/10.1016\/j.jalgebra.2020.04.002<\/a>)<\/p>\n\n\n\n<p>Rider, L., Russell, A. <em>Formality and Lusztig\u2019s Generalized Springer Correspondence<\/em>.&nbsp;Algebras and Representation Theory,&nbsp;<strong>24<\/strong>,&nbsp;699\u2013714 (2021). (<a href=\"https:\/\/doi.org\/10.1007\/s10468-020-09966-w\">https:\/\/doi.org\/10.1007\/s10468-020-09966-w<\/a>)<\/p>\n\n\n\n<p>L. Rider, A. Russell,&nbsp;<em>Perverse Sheaves on the Nilpotent Cone and Lusztig\u2019s Generalized Springer Correspondence.<\/em>&nbsp;Proceedings of Symposia in Pure Mathematics, 92 (2016). arXiv:1409.7132<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rebecca-becky-wahl\">Rebecca (Becky) Wahl<\/h2>\n\n\n\n<p>Johnston, William, and Wahl, Rebecca G. &#8220;Idempotent vector spaces and their linear transformations&#8221; <em>Concrete Operators,<\/em> vol. 11, no. 1, 2024, pp. 20240003. &nbsp;<a href=\"https:\/\/doi.org\/10.1515\/conop-2024-0003\">https:\/\/doi.org\/10.1515\/conop-2024-0003<\/a><\/p>\n\n\n\n<p>R. Wahl, Kernels of adjoints of composition operators with multivalent symbol via a formal adjoint, <i>Rocky Mountain Journal of Mathematics 37<\/i>, number 4 (2007), pp.1349-1361.<\/p>\n\n\n\n<p>R. Wahl, Composition operators with multivalent symbol, <em>Acta Sci. Math. (Szeged)<\/em> <strong>66 <\/strong>(2000), pp. 755-768.<br>C. Cowen, R. Wahl, <em>Commutants of Finite Blaschke Product Multiplication Operators<\/em>,&nbsp;Contemporary Mathematics&nbsp;638, (2015), pp. 99-<\/p>\n\n\n\n<p>C. Cowen, R. Wahl, <em>Shift-Invariant subspaces invariant for composition operators on the Hardy Hilbert space<\/em>,&nbsp;Proceedings of the American Mathematical Society&nbsp;142, no. 12 (2014): 4143-4154.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-jonathan-webster\">Jonathan Webster<\/h2>\n\n\n\n<p>R. Brent, C. Pomerance, D. Purdum, and J. Webster, Algorithms for the Multiplication Table Problem, <em>Integers<\/em>, Vol 21, A92, 2021.<\/p>\n\n\n\n<p>J. Sorenson, N. Sorenson, and J. Webster, An Algorithm and Estimates for the Erdos-Selfridge Function, <em>Proceedings of the Fourteenth Algorithmic Number Theory Symposium<\/em>. 2020.<\/p>\n\n\n\n<p>J. Sorenson and J. Webster, Two Algorithms to Find Primes in Patterns, <em>Mathematics of Computation<\/em>, 89 (2020), no 324.<\/p>\n\n\n\n<p>A. Shallue and J. Webster, Fast Tabulation of Challenge Pseudoprimes, <em>Proceedings of the Thirteenth Algorithmic Number Theory Symposium<\/em>. 2019.<\/p>\n\n\n\n<p>B. Johnston, C. Wilson, and J. Webster&nbsp;A<em>n Introductory Research Experience in Mathematics for Undergraduates<\/em>,&nbsp;accepted to&nbsp;PRIMUS,&nbsp;and available online.<\/p>\n\n\n\n<p>J. Sorenson and J. Webster&nbsp;<em>Strong <\/em>P<em>seudoprimes to Twelve Prime Bases<\/em>,&nbsp;&nbsp;<em>Mathematics of Computation<\/em>,&nbsp;available online.<\/p>\n\n\n\n<p>M. Bauer and J. Webster,&nbsp;<em>Computations in Cubic Function Fields of Characteristic Three<\/em>,&nbsp;Contributions to Discrete Mathematics, Vol. 8, No. 1, 2013.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-chris-wilson\">Chris Wilson<\/h2>\n\n\n\n<p>An Introductory Research Experience in Mathematics for Undergraduates.&nbsp;With coauthors, Jonathan Webster and William Johnston. Accepted for publication in <em>Problems, Resources, and Issues in Mathematics Undergraduate Studies<\/em>.<\/p>\n\n\n\n<p>Constructing the hereditary crossed product order containing a given crossed product order and a criterion for weakness.&nbsp;<em>Journal of Algebra and Its Applications<\/em>, September 2015.<\/p>\n\n\n\n<p>Strategic curricular decisions in Butler University\u2019s actuarial science major.&nbsp;<em>Problems, Resources, and Issues in Mathematics Undergraduate Studies<\/em>, Volume 24(9-10), 2014, pages 820-830.<\/p>\n\n\n\n<p>Hereditary crossed product orders over discrete valuation rings.&nbsp;<em>Journal of Algebra<\/em>, Volume 371, 1 December 2012, pages 329-349.<\/p>\n\n<\/div>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t<\/div>\n<\/section>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":0,"parent":385,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-524","page","type-page","status-publish","hentry"],"revision_note":"","acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v26.4) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mathematical Sciences Faculty Research | Butler University<\/title>\n<meta name=\"description\" content=\"Meet Butler&#039;s passionate faculty who will help expand your knowledge and prepare you for your career.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/faculty-research\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematical Sciences Faculty Research | Butler University\" \/>\n<meta property=\"og:description\" content=\"Meet Butler&#039;s passionate faculty who will help expand your knowledge and prepare you for your career.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.butler.edu\/arts-sciences\/mathematical-sciences\/faculty-research\/\" \/>\n<meta property=\"og:site_name\" content=\"College of Liberal Arts &amp; 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