Select Publications
Journal articles
, 2026, 'The Zappa–Szép product of twisted groupoids', Documenta Mathematica, 31, pp. 1097 - 1151, http://dx.doi.org/10.4171/dm/1062
, 2025, 'Erratum: Norm upper-semicontinuity of functions supported on open abelian isotropy in étale groupoids. Corrigendum to “Reconstruction of groupoids and C⁎-rigidity of dynamical systems” [Adv. Math. 390 (2021) 107923] (Advances in Mathematics (2021) 390, (S0001870821003625), (10.1016/j.aim.2021.107923))', Advances in Mathematics, 466, http://dx.doi.org/10.1016/j.aim.2025.110150
, 2025, 'Non-traditional Cartan Subalgebras in Twisted Groupoid C∗-Algebras', International Mathematics Research Notices, 2025, http://dx.doi.org/10.1093/imrn/rnaf011
, 2025, 'Imprimitivity theorems and self-similar actions on Fell bundles', Journal of Functional Analysis, 288, http://dx.doi.org/10.1016/j.jfa.2024.110699
, 2025, 'The imprimitivity Fell bundle', Canadian Journal of Mathematics, http://dx.doi.org/10.4153/S0008414X24000907
, 2025, 'The Operator Algebras Mentor Network: Impact of Community-Based Mentoring', Journal of Humanistic Mathematics, 15, pp. 334 - 354, http://dx.doi.org/10.5642/jhummath.tzhp4627
, 2024, 'Alexandrov groupoids and the nuclear dimension of twisted groupoid C⁎-algebras', Journal of Functional Analysis, 286, http://dx.doi.org/10.1016/j.jfa.2024.110372
, 2023, 'Equivalence of Fell bundles is an equivalence relation', MUENSTER JOURNAL OF MATHEMATICS, 16, pp. 95 - 145, http://dx.doi.org/10.17879/51009605127
, 2022, 'Renault's j-map for Fell bundle C⁎-algebras', Journal of Mathematical Analysis and Applications, 516, http://dx.doi.org/10.1016/j.jmaa.2022.126530
, 2022, 'Analyzing the Weyl Construction for Dynamical Cartan Subalgebras', International Mathematics Research Notices, 2022, pp. 15721 - 15755, http://dx.doi.org/10.1093/imrn/rnab114
, 2022, 'The Zappa-Szép product of a Fell bundle and a groupoid', Journal of Functional Analysis, 282, http://dx.doi.org/10.1016/j.jfa.2021.109268
, 2020, 'Cartan subalgebras for non-principal twisted groupoid C⁎-algebras', Journal of Functional Analysis, 279, http://dx.doi.org/10.1016/j.jfa.2020.108611
, 2020, 'Elliptic operators and K-homology', Rocky Mountain Journal of Mathematics, 50, pp. 91 - 124, http://dx.doi.org/10.1216/RMJ.2020.50.91
, 2020, 'TRANSVERSALS, DUALITY, AND IRRATIONAL ROTATION', Transactions of the American Mathematical Society Series B, 7, pp. 254 - 289, http://dx.doi.org/10.1090/btran/54
Preprints
, 2026, Cartan subalgebras in self-similar graph $C^*$-algebras, http://dx.doi.org/10.48550/arxiv.2606.18204
, 2025, Non-traditional C*-diagonals in twisted groupoid C*-algebras, http://dx.doi.org/10.48550/arxiv.2505.17913
, 2025, The Operator Algebras Mentor Network: Impact of Community-Based Mentoring, http://dx.doi.org/10.48550/arxiv.2501.18488
, 2025, Non-traditional Cartan subalgebras in twisted groupoid C*-algebras, http://dx.doi.org/10.48550/arxiv.2403.15255
, 2024, Norm upper-semicontinuity of functions supported on open abelian isotropy in étale groupoids (a corrigendum to "Reconstruction of groupoids and C*-rigidity of dynamical systems," Adv. Math 390 (2021), 107923), http://dx.doi.org/10.48550/arxiv.2412.00018
, 2024, The Zappa-Szép product of twisted groupoids, http://dx.doi.org/10.48550/arxiv.2406.00466
, 2024, Smooth Cartan triples and Lie twists over Hausdorff étale Lie groupoids, http://dx.doi.org/10.48550/arxiv.2309.09177
, 2024, Alexandrov groupoids and the nuclear dimension of twisted groupoid $\mathrm{C}^*$-algebras, http://dx.doi.org/10.48550/arxiv.2211.00547
, 2023, The Imprimitivity Fell Bundle, http://dx.doi.org/10.48550/arxiv.2311.15021
, 2023, Imprimitivity theorems and self-similar actions on Fell bundles, http://dx.doi.org/10.48550/arxiv.2208.01124
, 2022, Equivalence of Fell bundles is an equivalence relation, http://dx.doi.org/10.48550/arxiv.2110.06343
, 2022, Renault's $j$-map for Fell bundle $C^*$-algebras, http://dx.doi.org/10.48550/arxiv.2203.01165
, 2021, Zappa-Szép product of a Fell bundle and a groupoid, http://dx.doi.org/10.48550/arxiv.2006.03128
, 2020, Analyzing the Weyl construction for dynamical Cartan subalgebras, http://dx.doi.org/10.48550/arxiv.2010.04137
, 2020, Cartan subalgebras for non-principal twisted groupoid $C^*$-algebras, http://dx.doi.org/10.48550/arxiv.2001.08270
, 2020, Transversals, duality, and irrational rotation, http://dx.doi.org/10.48550/arxiv.1906.00079
, 2019, Elliptic Operators and K-Homology, http://dx.doi.org/10.48550/arxiv.1812.00112