I specialize in operator algebra and functional analysis, with a current research focus on von Neumann algebras and quantum groups. 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.
Publications
With Simeng Wang, Fullness of q-Araki-Woods factors, preprint, available on arXiv
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.
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.
With B. V. Rajarama Bhat, Lattices of logmodular algebras, Publ. Res. Inst. Math. Sci., to appear, available on arXiv.
With B. V. Rajarama Bhat, C*-extreme maps and nests, Journal of Functional Analysis 282 (2022), no. 8, 40 pp. arXiv
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