James Mc Laughlin
Associate Professor
Department of Mathematics
West Chester University

Office: Room 179, 25 University Avenue
Phone: 610-430-4417
Fax: 610-738-0578
Email: jmclaughl@wcupa.edu
Webpage:   jmclaughlin

Address:
Department of Mathematics
Room 101, 25 University Avenue
West Chester University
West Chester, PA 19383
FAX: 610-738-0578

My Curriculum Vitae: DVI PS PDF

 Nancy Wyshinski and I are organizing a special session on continued fractions at the 2013 Joint Meetings in San Diego.
We also organized previous special session on continued fractions at the 2011 Joint Meetings in New Orleans, the 2009 Joint Meetings in Washington, D.C., the 2006 Joint Meetings in San Antonio, and the 2004 Joint Meetings in Phoenix

Click here for a page with pictures from the special session in San Antonio, and abstracts of the talks.
Click here for the schedule of the Phoenix special session.

 

Research Interests

My present interests are in the area of basic hypergeometric series and related areas.

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: DVI PS PDF

 

Teaching

Fall 2005 - Math 121 (Statistics), Math 151 (Introduction to Discrete Mathematics), Math 411 (Algebra I).
Spring 2006 - Math 105 (College Algebra), Math 151 (Introduction to Discrete Mathematics), Math 414 (Number Theory).
Fall 2006 - Math 121 (Statistics), Math 151 (Introduction to Discrete Mathematics), Math 411 (Algebra I).
Spring 2007 - Math 105 (College Algebra), Math 151 (Introduction to Discrete Mathematics), Math 121 (Statistics).
Fall 2007 - Math 105 (College Algebra), Math 411 (Algebra I).
Spring 2008 - Math 105 (College Algebra), Math 405 (q-series), Math 414 (Number Theory).

Students can access course information through Blackboard .

Publications/Preprints (Note that the preprint version of papers on this page will differ to some extent from the version which eventually appeared in print)

Mathematical Ancestry (with some links)

 

Math Links