Office: Room 179, 25 University Avenue
|Office:||Room 179, 25 University Avenue|
Department of Mathematics
Room 101, 25 University Avenue
West Chester University
West Chester, PA 19383
My Curriculum Vitae: PDF
New I just became aware that my book, Topics and Methods in q-Series, was given a quite favourable review by Michael Berg, Professor of Mathematics at Loyola Marymount University in Los Angeles, CA, in MAA reviews on 05/23/2018.
"In closing, let me also note that Topics and Methods in q-Series, in addition to presenting such a wonderful sweep of deep and beautiful material, is very strong pedagogically. It’s very well written, in an accessible and clear style, the material dealt with is effectively motivated and discussed in a sound and rigorous manner, all the proofs are there, and McLaughlin gives the reader a large number of exercises to do along the way, as he travels these paths. Again, the expressions and formulas that pepper the pages of this book are at first sight daunting, but they do yield to persistent pressure, as per Andrews’ observation cited above. The language of q-series makes for some beautiful poetry."
New While preparing some material for my MAT 413 Computer Algebra class, I discovered (or maybe rediscovered) a pair of quite interesting (at lease to me) cellular automata. If anyone has seen them before and can direct me to any information online, or published articles, about them, I would very much appreciate it. If you follow the link to the page I created about them, you will also find some open math questions about them.
Update (12/10/2018): I was today informed that the first of these cellular automata is well-known and extensively studied. A google search for "B1357/S1357", one of its official classifications, will bring up many hits. It is also known as "Replicator", and was discovered by Edward Fredkin.
The inaugaral issues the Mathematics Department's newsletter, Math Times , has just been published. Yours truly created most of the layout and "stitched" everything together. Its a little crude for a first attempt, but issue 2 will hopefully look a little more polished.
My (not so new) views on what should be included in school curricula.
Geremías Polanco, Barry Smith, Nancy Wyshinski and I are organizing a special session on continued fractions at the 2019 Joint Meetings in Baltimore.
Nancy and I also organized previous special session on continued fractions at the following meetings:
Pictures from the special session in San Antonio, and abstracts of the talks.
Schedule of the Phoenix special session.
My present interests are in the area of basic hypergeometric series and related areas, such as integer partitions.
I am currently also working on various problems related to continued fractions.
I have also investigated various convergence problems for q-continued fractions, and I and my thesis adviser, Douglas Bowman, recently partially settled a long-standing open problem on the convergence of the Rogers-Ramanujan continued fraction on the unit circle.
I am also interested in the problem of finding the regular continued fraction expansion of a number expressed in some other form (for example, as an infinite series or infinite product) and finding numbers with predictable patterns in their regular continued fraction expansions.
Another area of interest is the evaluation of polynomial continued fractions.
I am also interested in various problems in the area of Diophantine equations.
My Research Statement (years out of date, and these days I am more interested in basic hypergeometric series and related areas such as integer partitions, but I am leaving it here since I have nothing more current to replace it with): DVI PS PDF
My publications list on MathSciNet.
|Course #||Course Name|
|MAT 151-01 (6238)||Intro Discrete Math (Lecture)|
|MAT 151-02 (1984)||Intro Discrete Math (Lecture)|
|MAT 411-01 (2018)||Undergraduate Algebra I (Lecture)|
|MAT 515-01 (8082)||Graduate Algebra I (Lecture)|
Students can access course information through D2L.
Note that the preprint version of papers on this page will differ to some extent from the version which eventually appeared in print.