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Beskrivning
Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry.
Preface.- Lower bounds for heights in relative Galois Extensions (Shabnam Akhtari, Kevser Aktas¸, Kirsti Biggs, Alia Hamieh, Kathleen Petersen, and Lola Thompson).- Reductions of algebraic integers II (Antonella Perucca).- Reductions of one-dimensional tori II (Antonella Perucca).- On the Carlitz rank of permutation polynomials over finite fields: recent developments (Nurdag¨ul Anbar, Almasa Odˇzak, Vandita Patel, Luciane Quoos, Anna Somoza, Alev Topuzo˘glu).- Dynamical Belyi Maps (Jacqueline Anderson, Irene Bouw, Ozlem Ejder, Neslihan Girgin, Valentijn Karemaker, and Michelle Manes).- Discriminant Twins (Alyson Deines).- The a-number of hyperelliptic curves (Sarah Frei).- Non-ordinary curves with a Prym variety of low p-rank (Turku Ozlum Celik, Yara Elias, Burc¸in G¨unes¸, Rachel Newton, Ekin Ozman, Rachel Pries and Lara Thomas).- Elliptic fibrations on covers of the elliptic modular surface of level 5 (Francesca Balestrieri, Julie Desjardins, Alice Garbagnati, C´eline Maistret, Cec´ılia Salgado and Isabel Vogt).- On Birch and Swinnerton-Dyer’s cubic surfaces (Mckenzie West).