Publications
On the c.e. degrees realizable in $\Pi^0_1$ classes. J. Symb. Log., 89, 1370–1395. doi:10.1017/jsl.2023.26
. (2024). Effectiveness of Walker's cancellation theorem. MLQ Math. Log. Q., 70, 347–355. doi:10.1002/malq.202400030
. (2024). Degrees of categoricity and treeable degrees. J. Math. Log., 24, Paper No. 2450002, 18. doi:10.1142/S0219061324500028
. (2024). Which classes of structures are both pseudo-elementary and definable by an infinitary sentence?. Bull. Symb. Log., 29, 1–18. doi:10.1017/bsl.2023.1
. (2023). Every $\Delta_2^0$ degree is a strong degree of categoricity. J. Math. Log., 22, Paper No. 2250022, 18. doi:10.1142/S0219061322500222
. (2022). Some questions of uniformity in algorithmic randomness. J. Symb. Log., 86, 1612–1631. doi:10.1017/jsl.2021.58
. (2021). Positive Enumerable Functors. In Connecting with Computability - 17th Conference on Computability in Europe, CiE 2021, Virtual Event, Ghent, July 5-9, 2021, Proceedings (Vol. 12813, pp. 385–394). Springer. doi:10.1007/978-3-030-80049-9_38
. (2021). . (2020).
Optimal bounds for single-source Kolmogorov extractors. Trans. Amer. Math. Soc., 373, 1983–2006. doi:10.1090/tran/7972
. (2020). The reverse mathematics of Hindman's theorem for sums of exactly two elements. Computability, 8, 253–263. doi:10.3233/com-180094
. (2019). Finite computable dimension and degrees of categoricity. Ann. Pure Appl. Logic, 170, 58–94. doi:10.1016/j.apal.2018.08.012
. (2019). . (2017). . (2017).
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). Measuring complexities of classes of structures. Ann. Pure Appl. Logic, 166, 1365–1381. doi:10.1016/j.apal.2015.08.001
. (2015). A bounded jump for the bounded Turing degrees. Notre Dame J. Form. Log., 55, 245–264. doi:10.1215/00294527-2420660
. (2014). Degrees of categoricity and the hyperarithmetic hierarchy. Notre Dame J. Form. Log., 54, 215–231. doi:10.1215/00294527-1960479
. (2013). 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).