James Mc Laughlin

James Mc Laughlin Image

Office: UNA 108
Phone: 610-430-4417
Fax: 610-738-0578

Education

Research Interests

West Chester University, PA. Professor, August 2015 – present
West Chester University, PA. Associate Professor, August 2010 – July 2015
West Chester University, PA. Assistant Professor, August 2005 - July 2010
Trinity College, Hartford, CT. Visiting Assistant Professor, August 2002 - May 2005

On the Divergence of the Rogers-Ramanujan Continued Fraction on the Unit Circle (With D. Bowman) - The Transactions of the American Mathematical Society 356 (2004), no. 8, 3325--3347.
Symmetry and specializability in the continued fraction expansions of some infinite products - The Journal of Number Theory 127 (2007), no. 2, 184--219.
General WP-Bailey Chains (with Peter Zimmer) - The Ramanujan Journal 22 (2010), no. 1, 11–31.
On a pair of identities from Ramanujan's lost notebook (with Andrew Sills) - Annals of Combinatorics Volume 16, Number 3 (2012), 591-607.
Further results on vanishing coefficients in infinite product expansions - J. Aust. Math. Soc. 98 (2015), no. 1, 69–77.

Further Results on Vanishing Coefficients in Infinite Product Expansions - Fall Western Sectional Meeting of the AMS, University of Arizona, Tucson, AZ, October 27th, 2012
Certain General Double-Sum Identities and Variations of WP-Bailey Chains -AMS Special Session on the Influence of Ramanujan on his 125th Birthday, Joint Mathematics Meetings, San Diego, January 11th, 2013
A General Multi-sum Transformation and Some Implications, Spring Central Sectional Meetingof the AMS, Texas Tech University, Lubbock, TX April 11-13, 2014
Refinement of Some Partition Inequalities, West Coast Number Theory, Pacific Grove, December 18, 2015
Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series, The 2016 Gainsville International Number Theory Conference, March 17 - 21, 2016, University of Florida, Gainesville

Mathematics