We survey the role of right-angled Artin groups in the theory of diffeomorphism groups of low dimensional manifolds. We first describe some of the subgroup structure of right-angled Artin groups. We then discuss the interplay between algebraic structure, compactness, and regularity for group actions on one–dimensional manifolds. For compact one–manifolds, every right-angled Artin group acts fai...

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We present a design for a Wi-Fi user-authentication token that tunnels data through the SSID field, packet timing, and packet length. Previous attempts to build an online-banking transaction-signing token have been only moderately successful, due in large part to usability problems. Average consumers, especially in the United States, are simply unwilling to transcribe strings of digits from PC ...

We show that there exist genus one curves of every index over the rational numbers, answering affirmatively a question of Lang and Tate. The proof is “elementary” in the sense that it does not assume the finiteness of any Shafarevich-Tate group. On the other hand, using Kolyvagin’s construction of a rational elliptic curve whose Mordell-Weil and Shafarevich-Tate groups are both trivial, we show...