EPaDel Fall 2018 Section Meeting West Chester University

EPaDel Fall 2018 Section Meeting West Chester University

EPaDel Fall 2018 Section Meeting West Chester University November 3, 2018 Campus Map Schedule Most events take place in the Business and Public Management Center (BPMC). 11:45 - 12:00 Section Awards & Business Meeting BPMC 101 8:30 - 11:45 Registration BPMC Lobby 12:00 8:30 - 9:00 Light Breakfast Reception (Coffee/tea, pastries) BPMC Lobby Group Photo BPMC Lobby 12:00 - 1:20 Lunch & Table Discussions Lawrence Dining Hall

9:05 Welcoming Remarks Dr. Radha Pyati, Dean of the College of Sciences and Mathematics BPMC 101 1:20 - 2:15 Concurrent sessions Faculty Speaker Session Various Locations 2:15 - 3:10 Student Speaker Session Various Locations 3:10 - 4:05 Deanna Haunsperger, President of MAA A Glimpse at the Horizon BPMC 101 4:05 - 4:30 Reception & Silent Auction Winners BPMC Lobby 4:30 End of Meeting 9:15 - 10:10

Alex Nakahara, The Phillies Analytics in Baseball -- It's More Than Just Numbers BPMC 101 10:10 - 10:50 Coffee Break / Silent Auction BPMC Lobby / Seminar Room 10:50 - 11:45 Kristin Lauter, Microsoft Research How to Keep your Secrets in a PostQuantum World BPMC 101 Student Activity Alex Nakahara (The Phillies) Biography: Alex Nakahara joined the Phillies in 2017 as a Senior Quantitative Analyst, creating analyses and tools for understanding and visualizing data for the Baseball Operations Department. He previously worked for four years at Northrop Grumman as a systems engineer in a variety of roles including as the lead researcher for several air traffic control research and development projects. Born in Philadelphia, he graduated from the Episcopal Academy in 2006. He received a BSE in Mechanical Engineering from the University of Pennsylvania in 2010 and a MS from MIT in Aeronautics and Astronautics in 2012. Invited Speakers Talk: Analytics in Baseball -- Its More Than Just Numbers

Talk: How to Keep your Secrets in a Post-Quantum World Biography: Kristin Lauter is a Principal Researcher and Research Manager for the Cryptography group at Microsoft Research. Her research focuses on post-quantum cryptography, algorithmic number theory, elliptic curve, pairing-based, and lattice-based cryptography, homomorphic encryption, and cloud security and privacy, including privacy for healthcare. Her work has been featured in the press in articles in Science, Nature, American Scientist, and PNAS. She has published over 75 research articles and 5 books, her work appearing in venues ranging from the American Journal of Mathematics to the Journal of Biomedical Informatics and the Proceedings of CRYPTO and EUROCRYPT. Lauter has served the mathematical community as President of the Association for Women in Mathematics, and on the Council of the American Mathematical Society. She is a Fellow of the American Mathematical Society and the Association for Women in Mathematics. She was a co-founder of the Women In Numbers Network, a research collaboration community for women in number theory, and she serves on the Scientific Advisory Board for BIRS, the Banff International Research Station. Lauter is also an Affiliate Professor in the Department of Mathematics at the University of Washington. In 2008, Lauter, together with her coauthors, was awarded the Selfridge Prize in Computational Number Theory. She loves to engage audience with accessible lectures highlighting the importance of mathematics in society. Invited Speakers Kristin Lauter (Microsoft Research) Talk: A Glimpse at the Horizon Biography: Dr. Deanna Haunsperger is a professor of mathematics at Carleton College in Minnesota. Since her own undergraduate days, Deanna has been interested in increasing the number of students who pursue advanced degrees in mathematics. That passion has guided her as a former co-editor for Math Horizons (the Mathematical Association of Americas magazine for undergraduates) and as co-founder and codirector of Carleton's Summer Mathematics Program for Women (a successful, intensive four-week summer program to encourage talented undergraduate women to pursue advanced degrees in the mathematical sciences). She has chaired the MAAs Strategic Planning Committee on

Students and the Council on Outreach. Currently Deanna is President of the MAA. Deanna is married to fellow mathematician Steve Kennedy, and together they have two grown children. Invited Speakers Deanna Haunsperger (President of the MAA) 1:201:35 1:381:53 1:562:11 BPMC 208 Guoan Diao Holy Family University BPMC 210 Eva Goedhart Lebanon Valley College BPMC 211 Chuan Li West Chester University On the sum of squares of Using Continued Fractions Molecules and Proteins consecutive integers to Solve Diophantine by a Differential Equation Equations and Its Application in Biophysics Allison Kolpas Jocelyn Quaintance

Asif Mahmood West Chester University University of Pennsylvania Penn State York Engaging undergraduate students in research in mathematical biology at WCUPA Harry Gingold West Virginia University The Perfect Polynomial Cryptosystem Lin Tan West Chester University Prime Numbers and Factorization of Power Series A Hybrid local-global approach to solutions of some recursive relations Non-Newtonian powerlaw fluid flow in deformable porous media Baoling Ma Millersville University BPMC 212 Samantha Pezzimenti Penn State Brandywine Minimal Lagrangian Capping Genus Wing Hong Tony Wong Kutztown University of

Pennsylvania On an Unconventional Graph Coloring Problem Garth Isaak Lehigh University A Mathematical Model for Voting profiles, Discrete an Amphibian Population Tomography, Edge with Distributed Birth and Coloring Bipartite Metamorphosis Rates Multigraphs, 3-Dimensional Contingency Tables, Faculty Contributed Paper Sessions Time 2:15- 2:30 BPMC 204 Cameron Campbell West Chester University of Pennsylvania Solving the Interface Problem: An Alternating Direction Implicit Approach Lane D'Alessandro West Chester University of Pennsylvania 2:33- 2:48 Modeling Individual Reproductive Fitness using Resource Allocation leading to a Postreproductive Life Graduate Student Contributed Paper

Sessions Time 2:15- 2:25 2:26- 2:36 2:37- 2:47 2:48- 2:58 2:59- 3:09 BPMC 205 Grant Fickes Kutztown University of Pennsylvania BPMC 208 Melea Roman Cedar Crest College Maximum proper diameter of 2-connected graphs Alexander Miller Kutztown University of Pennsylvania Representing integers as the sum of two polygonal numbers in the ring Zp, where p is an odd prime Garrett Bowser Temple University Extensions on Conway's Wizard Problem Patterns in Collatz-Mapped Integer Trajectories

Jacob McCann Kutztown University of Pennsylvania Alexander Vetter Villanova University Nagata-Smirnov Metrization Theorem Reed-Muller Batch Codes Colin Jones Eastern University Tarang Saluja Swarthmore College Vertex-Minimal Planar Graphs With Prescribed Automorphism Groups Greedy Avoidance of k-term Arithmetic Progressions Rachel Chambers Michelle Ly Washington College Benjamin Warren Swarthmore College Cobwebs, Bifurcations and Fractals Modeling Anyonic Systems: Group Theoreticity in Modular Categories Undergraduate Student Contributed Paper Sessions

Time 2:152:25 2:262:36 2:372:47 BPMC 210 Levi C. Nicklas Shippensburg University of Pennsylvania Chomp: Some Winning Strategies Ethan Clever Shippensburg University of Pennsylvania Euclid's Windmill Christopher Craig Shippensburg University of Pennsylvania Exploring the USA MTS problem from April 1, 2018 Vincent Sergi Ursinus College 2:482:58 Ghost Series and a Motivated Proof of Bressoud's 4k - 2 Companion to the AndrewsGollnitz-Gordon Identities BPMC 211 Bryn Woodling Elizabethtown College

BPMC 212 Yinxi Li Franklin and Marshall College Portfolio Theory Analysis Motif Detection and Music Visualization Magdalena Kalinowska Christopher Williams University of the Sciences in Philadelphia Liz Dulac Millersville University of Pennsylvania Password Security Ronald Boorman Jr Javonni Banks Natasha Stuckey University of the Sciences in Philadelphia Secrets of Origami Owen Vazquez Chris Miller University of the Sciences in Philadelphia Keeler's Theorem Modelling a Human Skeleton using Physical Constraints Jeremy Budgeon West Chester University of Pennsylvania

Predation Risk's Eect on Snail Survivability and Fecundity Yuqing Liu Ursinus College Equivalence of discrete Morse functions using persistent homology Undergraduate Student Contributed Paper Sessions Time Clues will be hidden throughout the conference grounds. Logic, analysis, and some smart googling will lead teams to the final clue. The first team to submit the final clue will win amazon gift cards! Come and scavenge your way to a prize! HINT: Come to Kristin Lauters talk for your first clue! Student Activity Student Activity: A Math Scavenger Hunt! The winning paper, `Improvements to Correlation Attacks Against Stream Ciphers with Nonlinear Combiners for the 2018 EPaDel student paper competition was submitted by Brian Stottler. A student at Elizabethtown College, M r. Stottler presented a clear description of his study of correlation attacks and his original work on the subject. An abstract paraphrasing the main focus of his submission can be found below. Abstract In this paper, we have reviewed the existing knowledge surrounding correlation attacks on LFSR-based stream ciphers with nonlinear combiners. While previously known, we offer explicit detail on the

probabilities involved in each case. Additionally, we introduced concrete methods for deriving optimal q functions, novel attack procedures, and the necessary theory for the new attack procedures. A link to M r. Stottlers full submission, as well as information regarding the J une 2019 contest and cash prize, is located at: http://sections.maa.org/epadel/awards/studentpaper/ Please direct any questions to Dr. Eric B. Kahn Email address: [email protected] Student Paper Competition EPADEL St udent Paper Compet i t i on You can find more detailed information, such as the abstracts of the talks, at the EPaDel website http://sections.maa.org/epadel/ If you like us, do not forget to take pictures and post them on our Facebook page facebook.com/MAA.EPaDel/ or twitter them at @MAA_EPADEL Social Media Wifi Connection: RamNet-Guest

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