The Lantern, 2014-2015

• The Retreat • Part of Eve\u27s Discussion • Buchanan • Hypotheticals • The Baby Hippo • Sertraline and Cheerios • Margins • Anatomy of Me • Orange • Ode to Mathematics • Garden Path • Periphery • 10n Power=Our Maybe Domains • Hillside • Baltimore//Analogues • Work is a Religion • At the Bridal Shower • November • Revisionist History • Cold Front • Lung (for D. Avitabile) • Tether • Hold Still • Reverb • An Almost English Major and His Daughter • Clocks • In the Kitchen on a Sunday Afternoon • Amy • Nine • Customary Thoughts • Showers • Te Encuentro • I Find You • Literary Analysis • The Diamond on My Face • Catherine • Hunsberger Woods, 11:42 on a School Night • Cabbage • After Class • For Chell • To Whom It May Concern • Contra • Shards • Smoke and Roses • Polaroid • Spring\u27s Debut • The Deadline • A Previous Life • Wet Canvas • Obsessions and Compulsions • For Xandra • The Seagulls of 17th Street • No Man\u27s Land • Summer Flowers • Float • Dana Reads • A Barcelona Moment • Business Meeting • Posted • Champagnehttps://digitalcommons.ursinus.edu/lantern/1181/thumbnail.jp

The Lantern, 2013-2014

• Strikes • Pietro di Venezia • To the Lover of Small Things • Jim\u27s Big Day • Akademiks • Redamancy • A Love Poem for Arctia Caja • Mother River • The Lyrics to Your Song • Nerves • Gemini Season • White Interface • The Last Time I Played with Dolls • The Mechanic • My Goldfish • Put Down Your Hammer • Strip • Hollywood • Identity • The Grey Zone • Sophia • When I Became a Poet • Unbroken • The Veteran Aeronaut • I Have Running Water but They had the Stars • Not A Nigga • Mother, Adam, Eve • From Fragile Seeds: A Palindrome • Conspiring, The Spires • Finally Working Out What Goes Where (God, For Example, is in His Kingdom) • Identity Crisis • Affection • Patience • An Enchanting Lost Cause • False Starts • Soggy Rice, Lukewarm Water • The Glow • Heat • 9-14 • Filigree • Diane Arbus • Touched • Dying Alive • Just Another Drunkard on the Train • Dinner • The French Legionnaire • Conspiracy and Theory • 1249am • Colored Pencils • Sea Glass • Roundtrip • The Muse Heard Music • Lacrimosa • The Allegory of the Maze • The Stars on Stuart Road • To Isabella • For Want of a Potato Chip • Termite Nests • Saving a Rose • Today and Yesterday • A Foggy New York • Cat; Wurtzburg • Embrace • Faces • Geisha • Pacis Leo • Patterns • Te-Whanganui-a-Tara (The Dock)https://digitalcommons.ursinus.edu/lantern/1180/thumbnail.jp

The Lantern, 2015-2016

• Ghosts • Going to China • 98% Guaranteed • Constellation/Boulevard • Prayer • The Little One • Burning • The Amber Macaroon • Becoming • Requiem • Construction Site • Thirteen Ways of Looking at a Dragon • Charlie • No Sleep • A Lesson in Physical Education • Statues • Who Can Love a Black Woman? • Apples • Fun Craft • The Door at Midnight • Eve as a Book in the Bible • Boys • Diamond Heart • To Apollo • Joanne and Her July Garden • Option A, 1936 • Young White Girls, Hollow Bodies, and Home • Mama\u27s Stance on Sugar • The Mariana Trench • Hurricane • Part of the Job • Avenue H Blues • Hour of Nones • Send Toilet Paper • Grave Robbing • Wild Turkey • The Creek • Let\u27s Go for a Walk • Deaconess • Border of Love • Your Father, Rumpelstiltskin • Purchasing Poplars • Red Tatters • Sunken • Whispers • Existence • God Took a Cigarette Break with Police Officers • Martian Standoff • In the Headlights • It\u27s a Subtle Thing • Dear Kent • Hanako-san • A Brief Interlude • On Fencing, Gummy Worms, and my Inescapable Fear of Living in the Moment • Stolen Soul • Block • Mortem Mei Fratris • Kalki • Lake Placid • Atom and Eve • The Baerie Queene • Gladston • Soldiers at Gettysburg • Pattern • Foliage • Mass Media • Arrow • Move Out • Wanderers • Riverside Gardenhttps://digitalcommons.ursinus.edu/lantern/1182/thumbnail.jp

Update on the Combined Analysis of Muon Measurements from Nine Air Shower Experiments

Over the last two decades, various experiments have measured muon densities in extensive air showers over several orders of magnitude in primary energy. While some experiments observed differences in the muon densities between simulated and experimentally measured air showers, others reported no discrepancies. We will present an update of the meta-analysis of muon measurements from nine air shower experiments, covering shower energies between a few PeV and tens of EeV and muon threshold energies from a few 100 MeV to about 10GeV. In order to compare measurements from different experiments, their energy scale was cross-calibrated and the experimental data has been compared using a universal reference scale based on air shower simulations. Above 10 PeV, we find a muon excess with respect to simulations for all hadronic interaction models, which is increasing with shower energy. For EPOS-LHC and QGSJet-II.04 the significance of the slope of the increase is analyzed in detail under different assumptions of the individual experimental uncertainties

Search for Spatial Correlations of Neutrinos with Ultra-high-energy Cosmic Rays

For several decades, the origin of ultra-high-energy cosmic rays (UHECRs) has been an unsolved question of high-energy astrophysics. One approach for solving this puzzle is to correlate UHECRs with high-energy neutrinos, since neutrinos are a direct probe of hadronic interactions of cosmic rays and are not deflected by magnetic fields. In this paper, we present three different approaches for correlating the arrival directions of neutrinos with the arrival directions of UHECRs. The neutrino data are provided by the IceCube Neutrino Observatory and ANTARES, while the UHECR data with energies above ∼50 EeV are provided by the Pierre Auger Observatory and the Telescope Array. All experiments provide increased statistics and improved reconstructions with respect to our previous results reported in 2015. The first analysis uses a high-statistics neutrino sample optimized for point-source searches to search for excesses of neutrino clustering in the vicinity of UHECR directions. The second analysis searches for an excess of UHECRs in the direction of the highest-energy neutrinos. The third analysis searches for an excess of pairs of UHECRs and highest-energy neutrinos on different angular scales. None of the analyses have found a significant excess, and previously reported overfluctuations are reduced in significance. Based on these results, we further constrain the neutrino flux spatially correlated with UHECRs

Results on Ghost Series and Motivated Proofs of Overpartition Identities

The theory of integer partitions is a field of much investigative interest to mathematicians and physicists. Unlike some of the more well-known sequences such as the Fibonacci Numbers, integer partitions follow no obvious discernible pattern. Mathematicians have been left to identify certain recurring patterns within the series: certain identities relating partitions satisfying seemingly unrelated conditions. Arguably, the most famous of these identities are those attributed to mathematicians Srinivasa Ramanujan and Leonard James Rogers. The Rogers-Ramanujan Identities have, in many ways, laid the ground work for much of the research being conducted in this field in recent history. In May of 1989, George Andrews and Rodney J. Baxter published what they called a “motivated proof” of the Rogers-Ramanujan identities. It is in the spirit of this motivated proof that we conduct our research. We look to answer the following question: Can we complete a proof of an “Empirical Hypothesis” in the spirit of the Andrews-Baxter motivated proof in order to discover identities of the Rogers-Ramanujan type in regard to overpartitions? Through the course of our research, we will prove an “Empirical Hypothesis” and subsequently identify new partition and overpartition identities. What distinguishes our research from the research done previously is the application to overpartitions. Overpartitions have appeared in recent work of many mathematicians, and their study bears strong parallels to the study of partitions. We hope to extend the work on “motivated proofs” of partition identities to overpartitions, and to find new overpartition identities using this technique