My research revolves around von Neumann algebras and quantum probability, particularly q-deformed operator algebras. I am also interested in quantum graphs and abstract harmonic analysis (Fourier-Stieltjes algebras).

Papers:

1. Amalgamated direct sums of operator spaces, Bulletin of the London Mathematical Society 48 (2016), no. 1, 155–162.

   • An earlier version available here. DOI: 10.1112/blms/bdv093  

2.  q-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property, Proceedings of the American Mathematical Society 145 (2017), no. 12, 5287–5298.

   • An earlier version available here. DOI: 10.1090/proc/13681 

3. Complete metric approximation property for q-Araki-Woods algebras (with S. Avsec and M. Brannan), Journal of Functional Analysis 274 (2018), no. 2, 544–572.

   • An earlier version available here. DOI: 10.1016/j.jfa.2017.08.004 

4. Spectral theory of Fourier--Stieltjes algebras (with P. Ohrysko), Journal of Mathematical Analysis and Applications 473 (2019), no. 1, 174–200.

   • An earlier version available here. DOI: 10.1016/j.jmaa.2018.12.040   

5. On MASAs in q-deformed von Neumann algebras (with M. Caspers and A. Skalski), Pacific Journal of Mathematics 302 (2019), no. 1, 1–21. 

   • An earlier version available here. DOI: 10.2140/pjm.2019.302.1

6. Inversion problem in measure and Fourier-Stieltjes algebras (with P. Ohrysko), Journal of Functional Analysis 278 (2020), no. 5, 19 pp. 

   • An earlier version available here. DOI: 10.1016/j.jfa.2019.108399

7. Bigalois Extensions and the Graph Isomorphism Game (with M. Brannan, A. Chirvasitu, K. Eifler, S. Harris, V. Paulsen, and X. Su), Communications in Mathematical Physics 375 (2020), no. 3, 1777–1809.

   • An earlier version available here. DOI: 10.1007/s00220-019-03563-9

8. L2-cohomology, derivations and quantum Markov semi-groups on q-Gaussian algebras (with M. Caspers and Y. Isono), International Mathematics Research Notices (2020), no. 9, 6405–6441

   • An earlier version available here. DOI: 10.1093/imrn/rnaa044.

9. A simple proof of the complete metric approximation property for q-Gaussian algebras, Colloquium Mathematicum 163 (2021), no. 1, 1–14.

   • An earlier version available here. DOI: 10.4064/cm7968-11-2019 

10. Random quantum graphs (with A. Chirvasitu),  Transactions of the American Mathematical Society 375 (2022), no. 5, 3061–3087. 

    • An earlier version available here. DOI: 10.1090/tran/8584 

11. On the von Neumann algebra of class functions on a compact quantum group (with J. Krajczok),  Journal of Functional Analysis 283 (2022), no. 5, Paper No. 109549, 29 pp.

    • An earlier version available here. DOI: 10.1016/j.jfa.2022.109549

12. Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity (with M. Borst and M. Caspers), accepted for publication in Groups, Geometry and Dynamics, available on arXiv.

13. Relative Haagerup property for arbitrary von Neumann algebras (with M. Caspers, M. Klisse, G. Vos and A. Skalski), Advances in Mathematics 421 (2023), Paper No. 109017 

    • An earlier version available here. DOI: 10.1016/j.aim.2023.109017

14. On the isomorphism class of q-Gaussian C*-algebras for infinite variables (with M. Borst, M. Caspers and M. Klisse),  Proceedings of the American Mathematical Society 151 (2023), no. 2, 737–744. 

    • An earlier version available here. DOI: 10.1090/proc/16165

15. Quantum edge correspondences and quantum Cuntz-Krieger algebras (with M. Brannan, M. Hamidi, L. Ismert and B. Nelson), Journal of the London Mathematical Society 107 (2023), no. 3, 886–913 

    • An earlier version available here. DOI: 10.1112/jlms.12702 

16. Full solution of the factoriality question for q-Araki-Woods von Neumann algebras via conjugate variables (with M. Kumar and A. Skalski), Communications in Mathematical Physics (2023)

    • An earlier version available here. DOI: 10.1007/s00220-023-04734-5

17. On quantum Cayley graphs, available on arXiv.