Mathematics

Mentors

Nathan Shank (19,20,21)*

Nathan Shank is a Professor of Mathematics at Moravian University. Immediately after completing his PhD at Lehigh University, Dr. Shank joined the Moravian University faculty in 2006. Dr. Shank enjoys teaching all mathematics major courses as well as mathematics courses for non-math majors. His research interests include analysis, stochastic processes, probability theory, graph theory, network reliability,  and combinatorial optimization. Dr. Shank enthusiasm for learning fuels his willingness to work individually with students on research projects and special topics courses. He has led over 30 different student research projects in many areas of mathematics including interdisciplinary projects. These projects have resulted in publications in MAA Notes, Involve, Ars Combinatoria, The Electronic Journal of Combinatorics, Australasian Journal of Combinatorics, and Advances in Applied Probability.  He has been mentoring NSF research projects since 2009. 

 

Eugene Fiorini (19,20,21)

Eugene Fiorini is the Truman Koehler Professor of Mathematics at Muhlenberg College and is a former associate director for the Center for Discrete Mathematics and Theoretical Computer Science. Fiorini brings fifteen years of experience to this program with several publications on organizing and implementing REU programs. While DIMACS associate director, Fiorini managed the DIMACS/CCICADA/Rutgers Math joint REU program. He was recognized for expanding the diversity of the program along multiple facets: ethnic, geographic, gender, and economic. Fiorini also introduced several innovations to the program including developing a graduate assistant mentor program which he hopes to adopt at Muhlenberg College. Fiorini is a regular contributor to the OEIS database. Approved submissions include several new variations on sequence A105403 (A259559, A259562, and A259564), sequences A260373 (the nearest perfect square to n!) and A260374 (the distance between n! and the nearest perfect square), as well as several updates and additions to existing sequences. The Muhlenberg College REU program (2015-2018) centered around projects associated with the OEIS and its role in stimulating new research.  Many of the sequences in the OEIS do not have closed forms and are areas where computational mathematics can make significant contributions.

 

Joshua Harrington (19,20,21)

Joshua Harrington received his PhD from the University of South Carolina under the advisement of Michael Filaseta in December 2013. He is currently an Assistant Professor and Chair of the Cedar Crest College Mathematics Department. Number theory is his primary area of research, focusing on studying the irreducibility or reducibility properties of polynomials, as well as studying properties and applications of covering systems of the integers. Additional research interests extend to areas of combinatorics, algebra, and analysis. Several OEIS sequences reference two of Harrington’s recent research publications. His publication "Characterizing Finite Groups Using the Sum of the Orders of the Elements," is referenced in sequences A060014 and A060015. A second publication "Representing Integers as the Sum of Two Squares in the Ring ZnZn" is referenced in sequences A000404, A240109, and A240370.

 

Wing Hong Tony Wong (19,20,21)

Wing Hong Tony Wong completed his B.Sc. in Mathematics at the Chinese University of Hong Kong in 2008, before earning his Ph.D. in Mathematics at the California Institute of Technology in 2013 under the supervision of Richard M. Wilson. Since then, Wong joined the Department of Mathematics at Kutztown University of Pennsylvania, and is currently an Associate Professor of Mathematics. His research interests are in combinatorics, linear algebra, and elementary number theory, with publications in high caliber journals such as the Journal of Combinatorial Theory, Series A and Physical Review A. Wong was a mentor in the REU Program at Muhlenberg College in 2018, and had mentored several undergraduate research projects prior to the REU program.

 

Brian Kronenthal (20,21)

Brian Kronenthal is an Associate Professor of Mathematics at Kutztown University.  He earned his B.S. in Mathematics from Lafayette College (2007), as well as his M.S. (2009) and Ph.D. (2013) in Mathematics from the University of Delaware.  His research interests are mostly related to combinatorics, graph theory, and abstract algebra, and he often enjoys problems in the intersection of these areas.  Kronenthal has mentored a number of undergraduate research projects, both at Kutztown and as part of several REU programs.

 

Kathleen Ryan (21)

Kathleen Ryan is an Associate Professor of Mathematics at DeSales University.  Prior to DeSales, she completed her undergraduate degree at St. Joseph’s University in Philadelphia, then worked as a software engineer in industry for several years, and afterward obtained her graduate degree from Lehigh University. Kathleen’s main research interests include graph theory and combinatorics, but over the last several years, she has also been taking on projects in data analytics and data science so as to learn more about these fields.  She is very passionate about involving undergraduates in research and introducing them to all that the math community has to offer.  Kathleen has received a CURM mini-grant to mentor undergraduate research at DeSales and has also been a project mentor in the Lafayette College Summer REU Program.  When it's time to take a break, Kathleen tends to be hanging out with all the fabulous nieces/nephews/godchildren in her life, playing board games, or searching for her next novel to binge-read.