Irreducibility of Random Hilbert Schemes

We prove that a random Hilbert scheme that parametrizes the closed subschemes with a fixed Hilbert polynomial in some projective space is irreducible and nonsingular with probability greater than $0.5$. To consider the set of nonempty Hilbert schemes as a probability space, we transform this set into a disjoint union of infinite binary trees, reinterpreting Macaulay's classification of admissible Hilbert polynomials. Choosing discrete probability distributions with infinite support on the trees establishes our notion of random Hilbert schemes. To bound the probability that random Hilbert schemes are irreducible and nonsingular, we show that at least half of the vertices in the binary trees correspond to Hilbert schemes with unique Borel-fixed points.

The Evolution and Reform of Summary Trials in Canadian Military Justice

There is a place where a Canadian citizen can be sent to 30 days detention, by someone who is not a judge, without being represented by counsel, and without having a meaningful right to appeal. It is the summary trial system of the Canadian Armed Forces. This thesis analyses that system and suggests reforms. It is aimed at those who have an interest in improving the administration of military justice at the unit level but want to sufficiently understand the issues before doing so. Through a classic legal approach with elements of legal history and comparative law, this study begins by setting military justice in the Canadian legal firmament. The introductory chapter also explains fundamental concepts, first and foremost the broader notion of discipline, for which summary trial is one of the last maintaining tools. Chapter II describes the current system. An overview of its historical background is first given. Then, each procedural step is demystified, from investigation until review. Chapter III identifies potential breaches of the Charter, highlighting those that put the system at greater constitutional risk: the lack of judicial independence, the absence of hearing transcript, the lack of legal representation and the disparity of treatment between ranks. Alternatives adopted in the Canadian Armed Forces and in foreign jurisdictions, from both common law and civil law traditions, in addressing similar challenges are reviewed in Chapter IV. Chapter V analyses whether the breaches could nevertheless be justified in a free and democratic society. Its conclusion is that, considering the availability of reasonable alternatives, it would be hard to convince a court that the current system is a legitimate impairment of the individual’s legal rights. The conclusion Chapter presents options to address current challenges. First, the approach of ‘depenalization’ taken by the Government in recent Bill C-71 is analysed and criticised. The ‘judicialization’ approach is advocated through a series of 16 recommendations designed not only to strengthen the constitutionality of the system but also to improve the administration of military justice in furtherance of service members’ legal rights.

The Open Data Smart City: A Case Study of Smart City Progress through Open Data Initiatives

Smart cities, cities that are supported by an extensive digital infrastructure of sensors, databases and intelligent applications, have become a major area of academic, governmental and public interest. Simultaneously, there has been a growing interest in open data, the unrestricted use of organizational data for public viewing and use. Drawing on Science and Technology Studies (STS), Urban Studies and Political Economy, this thesis examines how digital processes, open data and the physical world can be combined in smart city development, through the qualitative interview-based case study of a Southern Ontario Municipality, Anytown. The thesis asks what are the challenges associated with smart city development and open data proliferation, is open data complimentary to smart urban development; and how is expertise constructed in these fields? The thesis concludes that smart city development in Anytown is a complex process, involving a variety of visions, programs and components. Although smart city and open data initiatives exist in Anytown, and some are even overlapping and complementary, smart city development is in its infancy. However, expert informants remained optimistic, faithful to a technologically sublime vision of what a smart city would bring. The thesis also questions the notion of expertise within the context of smart city and open data projects, concluding that assertions of expertise need to be treated with caution and scepticism when considering how knowledge is received, generated, interpreted and circulates, within organizations.

Teaching Empowerment Through Sport: An Analysis of Fast and Female

This project is about Fast and Female, a community-based girls’ sport organization, that focuses on empowering girls through sport. In this thesis I produce a discourse analysis from interviews with six expert sportswomen and a textual analysis of the organization’s online content – including its social media pages. I ground my analysis in poststructural theory as explained by Chris Weedon (1997) and in literature that helps contextualize and better define empowerment (Collins, 2000; Cruikshank, 1999; Hains, 2012; Sharma, 2008; Simon, 1994) and neoliberalism (Silk & Andrews, 2012). My analysis in this project suggests that Fast and Female develops a community through online and in-person interaction. This community is focused on girls’ sport and empowerment, but, as the organization is situated in a neoliberal context, organizers must take extra consideration in order for the organization to develop a girls’ sport culture that is truly representative of the desires and needs of the participants rather than implicit neoliberal values. It is important to note that Fast and Female does not identify as a feminist organization. Through this thesis I argue that Fast and Female teaches girls that sport is empowering – but, while the organization draws on “empowerment,” a term often used by feminists, it promotes a notion of empowerment that teaches female athletes how to exist within current mainstream and sporting cultures, rather than encouraging them to be empowered female citizens who learn to question and challenge social inequity. I conclude my thesis with suggestions for Fast and Female to encourage empowerment in spite of the current neoliberal situation. I also offer a goal-setting workbook that I developed to encourage girls to set goals while thinking about their communities rather than just themselves.

Governing Big Data: The Political Economy of Power, Knowledge and Consumer Finance in the Digital Age

This dissertation offers a critical international political economy (IPE) analysis of the ways in which consumer information has been governed throughout the formal history of consumer finance (1840 – present). Drawing primarily on the United States, this project problematizes the notion of consumer financial big data as a ‘new era’ by tracing its roots historically from late nineteenth century through to the present. Using a qualitative case study approach, this project applies a unique theoretical framework to three instances of governance in consumer credit big data. Throughout, the historically specific means used to govern consumer credit data are rooted in dominant ideas, institutions and material factors.