Julia Knight

 

Julia F. Knight

Charles L. Huisking Professor of Mathematics

B.A., Utah State University, 1964
Ph.D., University of California, Berkeley, 1972

Email: Julia.F.Knight.1@nd.edu
Office: 285 Hurley Hall
Phone: (574) 631-6355
Fax: (574) 631-6579


Research Interests

My interests are in Logic and Computable Structure Theory. Initially, my research was in model theory, focusing on models of arithmetic and infinitary logic. Gradually, my interests shifted to computability.  I am interested in the relationship between computability and definability in familiar kinds of mathematical structures:  groups, fields, linear orderings, etc.

Selected Publications

  •  J. F. Knight, A. Montalb\'{a}n, and N. Schweber, "Computable structures in generic extensions'', J.\ Symb.\ Logic, vol. 83(2016), pp. 814-832.

  • G. Igusa and J. F. Knight, "Comparing two versions of the reals using computability'', J. Symb. Logic, vol. 83(2016), pp. 1115-1123.

  • G. Igusa, J. F. Knight, and N. Schweber, `"Computing power of structures related to the field of real numbers'', J. Symb. Logic, vol. 82(2017), pp. 137-150.

  • Ash, C. J. and J. F. Knight, Computable Structures and the Hyperarithmetical Hierarchy, . Elsevier, 2000.

 

If you have access to MathSciNet you can see a complete list of publications.

Please direct questions and comments to: Julia.F.Knight.1@nd.edu