# Papers

## Papers:

• Relativized Grothendieck topoi in Annals of Pure and Applied Logic Vol. 161 Issue 10 p. 1299-1312 [Preprint, Final]
• The Number Of Countable Models In Categories of Sheaves in The Proceedings of Makkaifest [Preprint]
• The Number Of Countable Models In A Realizability Topos in The Proceedings of CT2010 [Preprint]
• Completeness in Generalized Ultrametric Spaces in p-Adic Numbers Ultrametric Anal. Appl. 5 (2013) no. 2, 89-105 [Preprint]
• Sheaf Recursion and a Separation Theorem to appear in Journal of Symbolic Logic [Preprint]
• Vaught's Conjecture Without Equality to appear in Notre Dame Journal of Formal Logic [Preprint]
• A Characterization of Quasitrivial n-Semigroups to appear in Algebra Universalis [Preprint]

## Submitted:

• On Relativization of Complete Metric Spaces [Preprint]
• On n Cardinal Spectra Of Ultrahomogeneous Theories [Preprint]
• Invariant measures concentrated on countable structures with Cameron Freer and Rehana Patel [arXiv:1206.4011 ]
• A Fixed Point Theorem for Contracting Maps of Symmetric Continuity Spaces [Preprint]

## Notes:

• Model Theoretic Proof of a Result of Hjorth [Notes]
• Categories Enriched in Quantaloids Associated to a Frame [Notes]
• Quantifier Rank Spectra of $L_{\omega_1, \omega}$ [Notes]

## Miscellaneous:

PhD Thesis (at MIT):
• Quantifier Rank Spectra of L-infinity-omega (Under Professor Gerald Sacks at the Massachusetts Institute of Technology) [Thesis, Thesis Defense]

This page was created by Nate Ackerman, and last revised on August 8, 2013.