Knight

Julia F. Knight

Charles L. Huisking Professor of Mathematics
Director of Graduate Studies

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, working on models of arithmetic and infinitary logic. Gradually, my interests shifted to computability, and I am interested in the relationship between computability and definability in familiar kinds of mathematical structures: linear orderings, vector spaces, etc. I am also interested in abstract problems on the technology used in this area.

My students have obtained results on computability questions about groups, Boolean algebras, and models of arithmetic.

Selected Publications

  • Chisholm, John; Fokina, Ekaterina B.; Goncharov, Sergey S.; Harizanov, Valentina S.; Knight, Julia F.;Quinn, Sara Intrinsic bounds on complexity and definability at limit levels. J. Symbolic Logic 74 (2009), no. 3, 1047--1060.

  • D'Aquino, Paola; Knight, Julia F. Strong initial segments of models of ${\rm I}\Delta_0$. Fund. Math. 195 (2007), no. 2, 155--176.

  • Calvert, W.; Goncharov, S. S.; Knight, J. F. Computable structures of Scott rank $\omega_1^{\rm CK}$ in familiar classes. Advances in logic, 49--66, Contemp. Math., 425, Amer. Math. Soc., Providence, RI, 2007.

  • Ash, C. J.; Knight, J.(1-NDM) Computable structures and the hyperarithmetical hierarchy. Studies in Logic and the Foundations of Mathematics, 144. North-Holland Publishing Co., Amsterdam, 2000. xvi+346 pp. 

 

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