# Mentors

**Nathan Shank (19)***

Nathan Shank is an Associate Professor of Mathematics at Moravian College. Immediately after completing his PhD at Lehigh University, Dr. Shank joined the Moravian College faculty in 2006. Dr. Shank was previously an adjunct for the college teaching service courses and evening classes for non-traditional students. 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 and combinatorial optimization. Dr. Shank enthusiasm for learning fuels his willingness to work individually with students on research projects and special topics courses. For the past 5 years he has served as the director of the Moravian College Scholars in Mathematics and Computer Science Program (MCS2) which provided scholarships, resources, research experience, and academic support for transfer students in mathematics and computer science.

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**Eugene Fiorini (19)**

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)

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.

**James Hammer (19)**

James Hammer is an assistant professor of Mathematics at Cedar Crest College. He received his PhD in 2015 from Auburn University in Design Theory. After teaching at Auburn university as a graduate teaching assistant, he went to Cedar Crest College in 2015. His primary area of research are Structural Graph Theory and Design Theory. He enjoys research in graph decompostions, latin squares, graph coloring, and graph domination to name a few topics. With respect to latin squares, he has done a lot of work on a particular type of multiple gerechte designs called factor pair latin squares. In addition to studying graphs and combinatorial designs, he also enjoy working on elementary number theory problems, enumeration problems, and other combinatorial puzzles.

**Wing Hong Tony Wong(19)**

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.

## Caitlin Owens (19)

Ph.D. (Mathematics), Lehigh University

M.S. (Mathematics), Lehigh University

PA Instructional I Certification (Mathematics 7-12), Kutztown University

B.A. (Mathematics), Ithaca College

Caitlin started teaching at Rowan College the fall semester of 2018, after defending and finishing her dissertation in August 2018. Her research interests are in graph theory and her dissertation was on variations of the Hamiltonian path problem.