The Borel Complexity of Isomorphism for Some First Order Theories

In this work we consider several instances of the following problem: "how complicated can the isomorphism relation for countable models be?"' Using the Borel reducibility framework, we investigate this question with regard to the space of countable models of particular complete first-order theories. We also investigate to what extent this complexity is mirrored in the number of back-and-forth inequivalent models of the theory. We consider this question for two large and related classes of theories. First, we consider o-minimal theories, showing that if T is o-minimal, then the isomorphism relation is either Borel complete or Borel. Further, if it is Borel, we characterize exactly which values can occur, and when they occur. In all cases Borel completeness implies lambda-Borel completeness for all lambda. Second, we consider colored linear orders, which are (complete theories of) a linear order expanded by countably many unary predicates. We discover the same characterization as with o-minimal theories, taking the same values, with the exception that all finite values are possible except two. We characterize exactly when each possibility occurs, which is similar to the o-minimal case. Additionally, we extend Schirrman's theorem, showing that if the language is finite, then T is countably categorical or Borel complete. As before, in all cases Borel completeness implies lambda-Borel completeness for all lambda.

Measurement of Wγγ Cross Section and Limits on Anomalous Quartic Gauge Couplings in Proton-Proton Collisions at 8 TeV with the CMS detector

Present the measurement of a rare Standard Model processes, pp →W±γγ for the leptonic decays of the W±. The measurement is made with 19.4 fb−1 of 8 TeV data collected in 2012 by the CMS experiment. The measured cross section is consistent with the Standard Model prediction and has a significance of 2.9σ. Limits are placed on dimension-8 Effective Field Theories of anomalous Quartic Gauge Couplings. The analysis has particularly sensitivity to the fT,0 coupling and a 95% confidence limit is placed at −35.9 < fT,0/Λ4< 36.7 TeV−4. Studies of the pp →Zγγ process are also presented. The Zγγ signal is in strict agreement with the Standard Model and has a significance of 5.9σ.

The Careers of Two Ritas: Latinas, Hollywood, and the Dilemmas of Anglicization

Senior capstone project for AMST 450.

An Ethics of Refusal: Sympathy, Intimacy and Fidelity in British Romanticism

Despite a current emphasis in Romantic scholarship on intersubjectivity, this study suggests that we still have much to learn about how theories of intersubjectivity operate in Romantic-era writings that focus on the family—the most common vehicle for exploring relationships during the period. By investigating how sympathy, intimacy, and fidelity are treated in the works of Mary Hays, Felicia Hemans, and Mary Shelley, this dissertation discovers the presence of an “ethics of refusal” within women’s Romantic-era texts. Texts that promote an ethics of refusal, I argue, almost advocate for a particular mode of relating within a given model of the family as the key to more equitable social relations, but, then, they ultimately refuse to support any particular model. Although drawn towards models of relating that, at first, seem to offer explicit pathways towards a more ethical society, texts that promote an ethics of refusal ultimately reject any program of reform. Such rejection is not unaccountable, but stems from anxieties about appearing to dictate what is best for others when others are, in reality, other than the self. In this dissertation, I draw from feminist literary critiques that focus on ethics; genre-focused literary critiques; and studies of sympathy, intimacy, and fidelity that investigate modes of relating within the context of literary works and reader-textual relations. Psychoanalytic theory also plays an important role within my third chapter on Mary Shelley’s novel Falkner. Scholarship that investigates the dialectical nature of Romantic-era literature informs my entire project. Through theorizing and studying an ethics of refusal, we can more fully understand how intersubjective modes functioned in Romantic literature and discover a Romanticism uniquely committed to attempting to turn dialectical reasoning into a social practice.