I specialize in operator algebra and functional analysis, with a current research focus on von Neumann algebras and quantum graphs. Additionally, I work on non-commutative aspects of the convexity structure of sets related to various objects, with particular attention to completely positive maps and positive operator valued measures.
With Mateusz Wasilewski, KMS states on quantum Cuntz-Krieger algebras, To appear in Proceedings of the American Mathematical Society, available on arXiv.2412.07410.
With Simeng Wang, Fullness of q-Araki-Woods factors, Journal of the London Mathematical Society 110 (2024), no. 4, Paper No. 212989. arXiv:2401.07504
With B. V. Rajarama Bhat, Lattices of logmodular algebras, Publications of the Research Institute for Mathematical Sciences (PRIMS) 60 (2024), no. 3, 507-537. arXiv:2101.00782
Conjugate variables approach to mixed q-Araki-Woods algebras: Factoriality and non-injectivity, Journal of Mathematical Physics 64 (2023), no. 9, Paper No. 093506, 19 pp. arXiv:2304.11108
With Adam Skalski and Mateusz Wasilewski, Full solution of the factoriality question for q-Araki-Woods von Neumann algebras via conjugate variables, Communications in Mathematical Physics 402 (2023), no. 1, 157-167. arXiv:2301.08619
With B. V. Rajarama Bhat, C*-extreme maps and nests, Journal of Functional Analysis 282 (2022), no. 8, 40 pp. arXiv:2103.09600
With Tathagata Banerjee and B. V. Rajarama Bhat, C*-extreme points of positive operator valued measures and unital completely positive maps, Communications in Mathematical Physics 388 (2021), no. 3, 1235-1280. arXiv:2006.07076