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Education
PhD, Mathematics, University of Notre Dame
MS, Mathematics, University of Notre Dame
BS, Mathematics, Loyola University Chicago
Selected Publications

Carson, J., Harizanov, V., Knight, J., Lange, K., McCoy, C., Morozov, A., Quinn, S., Safranski, C., & Wallbaum, J. (2012).Describing free groups. Transactions of the American Mathematical Society, 364, 5715-5728. Retrieved from AMS :: Transactions of the American Mathematical Society.  

Carson, J., Fokina, E., Harizanov, V., Knight, J., Quinn, S., Safranski, C., & Wallbaum, J. (2012). The computable embedding problem. Algebra and Logic, 50, 478–493. Retrieved from The computable embedding problem | Algebra and Logic

Fokina, E., Knight, J., Melnikov, A., Quinn, S., & Safranski, C. (2011). Classes of Ulm type and coding rank-homogeneous trees in other structures. The Journal of Symbolic Logic, 76(3), 846-869. Retrieved from CLASSES OF ULM TYPE AND CODING RANK-HOMOGENEOUS TREES IN OTHER STRUCTURES on JSTOR.  

Chisholm, J., Fokina, E., Goncharov, S., Harizanov, V., Knight, J., Quinn, S. (2009).  Intrinsic bounds on complexity and definability at limit levels. The Journal of Symbolic Logic 74(3), 1047 - 1060. DOI: https://doi.org/10.2178/jsl/1245158098

Chisholm, J., Knight, J., & Miller, S. (2007). Computable embeddings and strongly minimal theories. Journal of Symbolic Logic, 72(3), 1031–1040. doi:10.2178/jsl/1191333854. Retrieved from Computable embeddings and strongly minimal theories | The Journal of Symbolic Logic | Cambridge Core

Knight, J., Miller, S., & Boom, M.(2007). Turing computable embeddings. Journal of Symbolic Logic, 72(3), 901–918. doi:10.2178/jsl/1191333847. Retrieved from Turing computable embeddings | The Journal of Symbolic Logic | Cambridge Core

Selected Presentations
Relativized turing computable embeddings, Computability in Europe / Podium, 2010
Index sets and scott sentences, Computability in Europe / Podium, 2009
Rank-homgeneous trees turing computable embeddings, American Mathematical Society Eastern Sectional Meeting / Podium, 2008
Turing computable embeddings into equivalence structures, University of Waterloo Logic Seminar / PaperI, 2007
Turing computable embeddings, Computable Models and Numberings Workshop / Podium, 2007

 

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