Staff Profile
Dr Christian Bönicke
Lecturer in Pure Mathematics
- Email: christian.bonicke@ncl.ac.uk
- Personal Website: https://sites.google.com/view/boenicke/home
I am a member of the Pure Mathematics group in the School of Mathematics, Statistics and Physics.
Before coming to Newcastle I was at the University of Glasgow, most recently as a Rankin-Sneddon Research Fellow and before that as a Feodor-Lynen Research Fellow funded by the Alexander von Humboldt foundation. I completed my PhD in 2018 at the University of Münster, Germany.
ORCiD: https://orcid.org/0000-0002-1114-6510
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My research interests revolve around the study of generalised topological dynamical systems (which I study in the shape of étale groupoids). What makes these fascinating for me is that interesting examples arise from many areas of mathematics (group theory, symbolic dynamics, coarse geometry, combinatorics, differential geometry, or just abstract algebraic objects like semigroups) and the fact that the study of these objects employs tools from various disciplines like Operator Algebras, Topology, and Dynamics.
If you want to learn more about my research, or are interested in working with me as a Master's student, PhD student, or postdoc, please do get in touch!
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Articles
- Bönicke C. On the dynamic asymptotic dimension of étale groupoids. Mathematische Zeitschrift 2024, 307, 16.
- Bönicke C, Li K. Nuclear dimension of subhomogeneous twisted groupoid C*-algebras and dynamic asymptotic dimension. International Mathematics Research Notices 2024, Epub ahead of print.
- Bönicke C, Proietti V. A categorical approach to the Baum-Connes conjecture for étale groupoids. Journal of the Institute of Mathematics of Jussieu 2024, Epub ahead of print.
- Ara P, Bönicke C, Bosa J, Li K. The type semigroup, comparison and almost finiteness for ample groupoids. Ergodic Theory and Dynamical Systems 2023, 43(2), 361-400.
- Bönicke C, Dell'Aiera C, Gabe J, Willett R. Dynamic asymptotic dimension and Matui's HK conjecture. Proceedings of the London Mathematical Society 2023, 126(4), 1182-1253.
- Bönicke C. K-theory and homotopies of twists on ample groupoids. Journal of Noncommutative Geometry 2021, 15(1), 195–222.
- Bönicke C, Chakraborty S, He Z, Liao H-C. A note on crossed products of rotation algebras. Journal of Operator Theory 2021, 85(2), 391-402.
- Easo P, Garijo E, Kaubrys S, Nkansah D, Vrabec M, Watt D, Wilson C, Bönicke C, Evington S, Forough M, Girón Pacheco S, Seaton N, White S, Whittaker M, Zacharias J. The Cuntz-Toeplitz algebras have nuclear dimension one. Journal of Functional Analysis 2020, 279(7), 108690.
- Ara P, Bönicke C, Bosa J, Li K. Strict comparison for C*-algebras arising from almost finite groupoids. Banach Journal of Mathematical Analysis 2020, 14, 1692–1710.
- Bönicke C, Li K. Ideal structure and pure infiniteness of ample groupoid C*-algebras. Ergodic Theory and Dynamical Systems 2020, 40(1), 34-63.
- Bönicke C. A Going-Down principle for ample groupoids and the Baum-Connes conjecture. Advances in Mathematics 2020, 372, 107314.
- Bönicke C, Dell'Aiera C. Going-Down functors and the Künneth formula for crossed products by étale groupoids. Transactions of the American Mathematical Society 2019, 372(11), 8159-8194.
- Bönicke C, Chakraborty S, He Z, Liao H-C. Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of SL2(Z). Journal of Functional Analysis 2018, 275(11), 3208-3243.