Learn why Grinnell College Libraries enjoyed a 60% increase in the number of Library Labs, our customized research appointments, during fall 2011. Research consultations are well established instructional options in many academic libraries and have been offered at Grinnell for nearly 20 years. In this poster session, we will show how we promote, conduct, and assess our one-on-one information literacy sessions on topics such as analysis of the Occupy Movement’s protest signs, Aztec blood symbolism, and gender equity indices. We’ll also illustrate the positive connection between Library Labs and our classroom instruction as well as plans for expanding this successful one-on-one instruction option beyond the reference desk—to librarians’ offices, special collections, and academic support centers across campus—while maintaining its effectiveness.
LaPuma, Indhira A. (author); Schneider, Mark B. (author)
Motivated by a recent experiment involving which-way measurement in atom interference, we developed a completely analogous experiment using visible light. This simple experiment, easily accessible to undergraduate students and the resources of undergraduate departments, facilitates examination of the key elements of which-way measurement, quantum erasure and related mysteries of quantum measurement. The experiment utilizes a Mach-Zehnder interferometer, and visually demonstrates the loss of interference fringes when a which-way measurement is imposed, and the restoration of that pattern when the which-way information is destroyed. This device is also sensitive enough to observe interference fringes arising from single photons. At a level accessible to undergraduates, we present simple analyses of the interference appropriate for the coherent classical field limit, and the single photon limit. We briefly mention related issues of the nature of the photon, pointing to some useful references.
In a new theory of conflict escalation, Randall Collins engages critical issues of violent conflict and presents a compellingly plausible theoretical description based on his extensive empirical research. He also sets a new challenge for sociology: explaining the time dynamics of social interaction. However, despite heavy reliance on the quantitative concept of positive feedback loops in his theory, Collins presents no mathematical specification of the dynamic relationships among his variables. This article seeks to fill that gap by offering a computational model that can parsimoniously account for many features of Collins’s theory. My model uses perceptual control theory to create an agent-based computational model of the time dynamics of conflict. With greater conceptual clarity and more wide-ranging generalizability, my alternative model opens the door to further advances in theory development by revealing dynamic aspects of conflict escalation not found in Collins’s model.
We decompose the Jacobian variety of hyperelliptic curves up to genus 10, defined over an algebraically closed field of characteristic zero, with reduced automorphism group A 4 , S 4 , or A 5 . Among those curves is a genus 4 curve with Jacobian variety isogenous to E 2 1 × E 2 2 and a genus 5 curve with Jacobian variety isogenous to E 5 for E and E i elliptic curves. These types of results have some interesting consequences to questions of ranks of elliptic curves and ranks of their twists.
We present a new technique to study Jacobian variety decompositions using subgroups of the automorphism group of the curve and the corresponding intermediate covers. In particular, this new method allows us to produce many new examples of genera for which there is a curve with completely decomposable Jacobian. These examples greatly extend the list given by Ekedahl and Serre of genera containing such curves, and provide more evidence for a positive answer to two questions they asked. Additionally, we produce new examples of families of curves, all of which have completely decomposable Jacobian varieties. These families relate to questions about special subvarieties in the moduli space of principally polarized abelian varieties.
Ever since Religious Studies emerged as a distinct area of inquiry in the 1960s and 1970s, scholars in the field have worried about its academic legitimacy. To put it a bit simplistically, they’ve worried about what constitutes the difference between teaching religion and teaching about religion. Text of the 2014 (first) Grinnell Lecture by Tyler Roberts.
The mathematical parallels between electrostatics and laminar fluid flow are exploited to develop a set of exercises that allow introductory physics students to discover Gauss’s Law. The primary fluid experiment involves investigating the continuity equation in two dimensions by examining the flow between two closely spaced plates. Extrapolation of the resulting two-dimensional velocity field to three dimensions reveals a radial dependence to the velocity field that is analogous to Coulomb’s Law. This analogy allows the student to predict an electric version of the continuity equation that is Gauss’s Law.