Publications
. (2003).
Boolean algebras, Tarski invariants, and index sets. Notre Dame J. Formal Logic, 47, 1–23. doi:10.1305/ndjfl/1143468308
. (2006). A bounded jump for the bounded Turing degrees. Notre Dame J. Form. Log., 55, 245–264. doi:10.1215/00294527-2420660
. (2014). . (2017). . (2007). . (2004). Comparing c.e. sets based on their settling times. In Computation and logic in the real world (Vol. 4497, pp. 196–204). Springer, Berlin. doi:10.1007/978-3-540-73001-9_21
. (2007). The complexity of central series in nilpotent computable groups. Ann. Pure Appl. Logic, 162, 667–678. doi:10.1016/j.apal.2011.01.011
. (2011). . (2011). Computability results used in differential geometry. J. Symbolic Logic, 71, 1394–1410. doi:10.2178/jsl/1164060462
. (2006). Computable categoricity of graphs with finite components. In Logic and theory of algorithms (Vol. 5028, pp. 139–148). Springer, Berlin. doi:10.1007/978-3-540-69407-6_15
. (2008). . (2010). . (2004). . (2020).
Degrees of categoricity and the hyperarithmetic hierarchy. Notre Dame J. Form. Log., 54, 215–231. doi:10.1215/00294527-1960479
. (2013). Degrees of categoricity on a cone via η-systems. J. Symb. Log., 82, 325–346. doi:10.1017/jsl.2016.43
. (2017). Degrees that are not degrees of categoricity. Notre Dame J. Form. Log., 57, 389–398. doi:DOI:10.1215/00294527-3496154
. (2016). Every 1-generic computes a properly 1-generic. J. Symbolic Logic, 71, 1385–1393. doi:10.2178/jsl/1164060461
. (2006). . (Submitted). Finite computable dimension and degrees of categoricity. Ann. Pure Appl. Logic, 170, 58–94. doi:10.1016/j.apal.2018.08.012
. (2019).