Mathematics Research Papers

(with Forough, Jeong) “Recursive subhomogeneity of orbit-breaking subalgebras of C*-algebras associated to minimal homeomorphisms twisted by line bundles", arXiv preprint math.OA/2410.07424, 2024.

(with Brzeziński, Krähmer, Ó Buachalla) “A remark on the Hochschild dimension of liberated quantum groups”, J. Noncommut. Geom., DOI 10.4171/JNCG/572, 2024.

(with Adamo, Archey, Forough, Georgescu, Jeong, Viola) “C*-algebras associated to homeomorphisms twisted by vector bundles over finite dimensional spaces”, Trans. Amer. Math. Soc. 377, no. 3, 1597–1640, 2024.

(with Deeley, Putnam) “Classifiable C*-algebras from minimal \mathbb{Z}-actions and their orbit-breaking subalgebras”, Math. Ann. 388, no. 1., 703–729, 2024.

(with Deeley, Putnam) “Minimal homeomorphisms and topological K-theory”, Groups Geom. Dyn. 17, no. 2, 501–532, 2023.

(with Krutov, Ó Buachalla) Nichols Algebras and Quantum Principal Bundles, Int. Math. Res. Not. IMRN, no. 23, 20076–20117, 2023.

(With Díaz García, Krutov, Ó Buachalla, Somberg) “Positive line bundles over the irreducible quantum flag manifolds", Lett. Math. Phys.,112, Article number: 123, 2022.

(With Deeley; Putnam) “Non-homogeneous extensions of Cantor minimal systems”, Proc. Amer. Math. Soc. 149, no. 5, 2081–2089, 2021.

(With Díaz García, Krutov, Ó Buachalla, Somberg) "Holomorphic relative Hopf modules over the irreducible quantum flag manifolds", Lett. Math. Phys.,111, Article number: 10, 2021.

(with Jacelon, Vignati) “Optimal transport and unitary orbits in C*-algebras”, J. Funct. Anal. 281, no. 5., 2021.

(with Deeley) “Group actions on Smale space C*-algebras”, Ergodic Theory Dynam. Systems 40, no. 9, 2368–2398, 2020.

(With Deeley) “Nuclear dimension and classification of C*-algebras associated to Smale spaces”, Trans. Amer. Math. Soc., Vol. 370, No. 5, pp. 3467-3485, 2018.

(With Deeley, Putnam) “Minimal homeomorphisms of point-like spaces and a dynamical presentation of the Jiang–Su algebra", J. Reine Angew. Math. Vol. 742, pp. 241–261, 2018.

(With Jacelon, Toms) “Unitary orbits of self adjoint operators in simple \mathcal{Z}-stable C*-algebras”, J. Funct. Anal., Vol. 269, No. 10, pp. 3304-3315, 2015.

“On the classification of C*-algebras associated to minimal product systems of a Cantor set and an odd dimensional sphere”, J. Funct. Anal., Vol. 268 No. 3, pp. 671-689, 2015.

(With Winter) “UHF slicing and classification of nuclear C*-algebras”, J. Topol. Anal. Vol. 6, No. 4 pp. 465–540, 2014.

(With Winter) “Minimal dynamics and \mathcal{Z}-stable classification”, Internat. J. Math., Vol. 22, No. 1, pp. 1–23, 2011.