A geometric invariant theory construction of moduli spaces of stable maps

We construct the moduli spaces of stable maps, \bar M_g,n(P^r,d), via geometric invariant theory (GIT). This construction is only valid over Spec C, but a special case is a GIT presentation of the moduli space of stable curves of genus g with n marked points, \bar M_g,n; this is valid over Spec Z. Our method follows that used in the case n=0 by Gieseker to construct \bar M_g, though our proof that the semistable set is nonempty is entirely different.Comment: 75 pages LaTeX; the GIT construction of moduli spaces of stable n-pointed curves is now given over the integer

Junior Recital, Micah Baldwin, tenor & Jasmin Ward, soprano

Junior RecitalMicah Baldwin, tenor & Jasmin Ward, sopranoDavid Kim, pianoTuesday, April 16, 2019 at 7:30pmRecital Hall / James W. Black Music Center1015 Grove Avenue / Richmond, Va

Recent U.S. Trade Policy and its Global Implications

The purpose of this paper is to describe United States trade policy since World War II, and to assess the possibility for ongoing U.S.trade-policy leadership. U.S. trade policy has shown remarkable consistency since World War II. It has never been as purely free-trade-focussed as some commentators suggest, but it has not recently shifted toward isolationism as dramatically as alarmists fear. It has almost always been best described as "open, but fair," with injury to import competitors being the measure of "fairness." The general consistency of U.S. trade policy over time is quite remarkable given the frequent change of political party in power, especially in the executive branch, but also in the Congress. U.S. trade-policy leadership seems still potentially strong despite a decline in U.S. hegemony. It is clearly strong in a protectionist direction.Any shift toward aggressive insularity justifies parallel trade-policy aggression in the eyes of trading partners. It is arguably strong ina liberalizing direction as well. The U.S. seems ideally poised for aggressive trade-policy peacemaking; perhaps multilaterally, but perhaps also bilaterally; perhaps with its traditional industrial trading partners, but perhaps also with Japan and newly industrializing Asian countries that play so importanta role in U.S. trade, and that, on many matters,may be closer in spirit to U.S. economic philosophy than Europe, Canada, or Latin America.

Space and biotechnology: An industry profile

The results of a study conducted by the Center for Space and Advanced Technology (CSAT) for NASA-JSC are presented. The objectives were to determine the interests and attitudes of the U.S. biotechnology industry toward space biotechnology and to prepare a concise review of the current activities of the biotechnology industry. In order to accomplish these objectives, two primary actions were taken. First, a questionnaire was designed, reviewed, and distributed to U.S. biotechnology companies. Second, reviews of the various biotechnology fields were prepared in several aspects of the industry. For each review, leading figures in the field were asked to prepare a brief review pointing out key trends and current industry technical problems. The result is a readable narrative of the biotechnology industry which will provide space scientists and engineers valuable clues as to where the space environment can be explored to advance the U.S. biotechnology industry

Upward Stability Transfer for Tame Abstract Elementary Classes

Grossberg and VanDieren have started a program to develop a stability theory for tame classes. We prove, for instance, that for tame abstract elementary classes satisfying the amlagamation property and for large enough cardinals kappa, stability in kappa implies stability in kappa^{+n} for each natural number n

The Role of Risk: Mentoring Experiences and Outcomes for Youth with Varying Risk Profiles

This report presents results from the nation's first large-scale study to examine how youth's levels and sources of risk may influence their mentoring relationships and the benefits they derive from participating in mentoring programs. More and more, mentoring programs are being asked to serve young people who are considered "higher risk." And while mentoring has a strong research base generally, until now relatively little has been known about programs' capacities to serve and produce benefits for these youth.Funded by the Bill & Melinda Gates Foundation, the study involved more than 1,300 youth, drawn from seven programs serving young people in Washington State. Oversight and support for the project were provided by Washington State Mentors. The study looked closely at the backgrounds of participating youth and their mentors, the mentoring relationships that formed, the program supports that were offered, and the benefits youth received -- and examined how these varied for youth with differing profiles (i.e., levels and types) of risk."The Role of Risk" describes the study's methods and findings and considers their implications for practitioners and funders. Overall, the study's results suggest that mentoring programs can benefit youth with a broad range of backgrounds and characteristics. The findings also highlight the importance of youth risk in shaping match experiences, and suggest that programs should do more to tailor training and support based on the specific risks youth face

The geometry of Hrushovski constructions, I. The uncollapsed case

An intermediate stage in Hrushovski's construction of flat strongly minimal structures in a relational language L produces omega-stable structures of rank omega. We analyze the pregeometries given by forking on the regular type of rank omega in these structures. We show that varying L can affect the (local) isomorphism type of the pregeometry, but not its finite subpregeometries. A sequel will compare these to the pregeometries of the strongly minimal structures.Comment: 31 page

The Role of Risk: Mentoring Experiences and Outcomes for Youth with Varying Risk Profiles (Executive Summary)

This summary highlights key findings and implications from the nation's first large-scale study to examine how youth's levels and sources of risk may influence their mentoring relationships and the benefits they derive from participating in mentoring programs. More and more, mentoring programs are being asked to serve young people who are considered "higher risk." And while mentoring has a strong research base generally, until now relatively little has been known about programs' capacities to serve and produce benefits for these youth.Funded by the Bill & Melinda Gates Foundation, the study involved more than 1,300 youth, drawn from seven programs serving young people in Washington State. Oversight and support for the project were provided by Washington State Mentors. The study looked closely at the backgrounds of participating youth and their mentors, the mentoring relationships that formed, the program supports that were offered, and the benefits youth received -- and examined how these varied for youth with differing profiles (i.e., levels and types) of risk."The Role of Risk" executive summary describes the study's methods and findings and considers their implications for practitioners and funders. Overall, the study's results suggest that mentoring programs can benefit youth with a broad range of backgrounds and characteristics. The findings also highlight the importance of youth risk in shaping match experiences, and suggest that programs should do more to tailor training and support based on the specific risks youth face