
Research interests
 Quantum groups
 Operator algebras
 Operator spaces and their approximation properties
 Noncommutative Lpspaces
 Harmonic analysis on noncommutative spaces
Papers and preprints
Any comment, suggestion or question is more than welcome. "Final version" indicates that the ArXivversion agrees with the version that was sent for the publication process.
Preprints
 "On MASAs in qdeformed von Neumann algebras".
with Adam Skalski and Mateusz Wasilewski.
preprint.
 "Weight theory for ultraproducts".
preprint.
 "Absence of Cartan subalgebras for rightangled Hecke von Neumann algebras".
preprint.
Papers (in press)
 "Weak type commutator and Lipschitz estimates: resolution of the NazarovPeller conjecture".
with Denis Potapov, Fedor Sukochev and Dmitriy Zanin.
To appear in American Journal of Mathematics.
preprint.
 "Harmonic analysis and BMOspaces of free ArakiWoods factors".
To appear in Studia Mathematica.
preprint.
 "Weak type operator Lipschitz and commutator estimates for commuting tuples".
with Fedor Sukochev and Dmitriy Zanin.
To appear in Annales de l'Institut Fourier
preprint.
 "Graph products of operator algebras".
with Pierre Fima.
J. Noncommut. Geom. 11 (2017), no. 1, 367411.
preprint.
 "Connes embeddability of graph products".
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19 (2016), no. 1, 1650004, 13 pp.
preprint.
 "Operator biflatness of the L1algebras of compact quantum groups".
with Hun Hee Lee and Eric Ricard.
J. Reine Angew. Math. 700 (2015), 235244.
preprint (final version).
 "Schur and Fourier multipliers of an amenable group acting on noncommutative Lpspaces".
with Mikael de la Salle.
Trans. Amer. Math. Soc. 367 (2015), no. 10, 69977013.
preprint (final version).
 "The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms".
with Adam Skalski.
Comm. Math. Phys. 336 (2015), no. 3, 16371664.
preprint.
 "Noncommutative de Leeuw theorems".
with Javier Parcet, Mathilde Perrin, Eric Ricard.
Forum of Mathematics  Sigma 3 (2015), e21.
preprint.
 "The Haagerup property for arbitrary von Neumann algebras".
with Adam Skalski.
Int. Math. Res. Not. IMRN 2015, no. 19, 98579887.
preprint.
 "Weak type estimates for the absolute value mapping".
with Denis Potapov, Fedor Sukochev and Dima Zanin.
J. Operator Theory 73 (2015), no. 2, 361384.
preprint (final version).
 "The best constants for operator Lipschitz functions on Schatten classes".
with Stephen MontgomerySmith, Denis Potapov and Fedor Sukochev.
J. Funct. Anal. 267 (2014), no. 10, 35573579.
preprint (final version).
 "Weak amenability of locally compact quantum groups and approximation properties of extended quantum SU(1,1)".
Comm. Math. Phys. 331 (2014), no. 3, 10411069.
preprint (final version).
 "Generalisations of the Haagerup approximation property to
arbitrary von Neumann algebras".
with Rui Okayasu, Adam Skalski, Reiji Tomatsu.
C. R. Acad. Sci. Paris, Ser. I 352 (2014) 507510
preprint (final version).
 "The Walsh basis in the Lpspaces of hyperfinite III_\lambda factors, 0 < \lambda <=1".
with Denis Potapov and Fedor Sukochev.
J. Math. Anal. Appl. 408 (2013), 154164
preprint (final version), journal.
 "The L^pFourier transform on locally compact quantum groups".
J. Operator Theory 69 (2013), 161193
preprint (final version), journal
 "Spherical Fourier transforms on locally compact quantum Gelfand pairs".
SIGMA 7 (2011), 087, 39 pages.
paper (final version), journal.
 "Modular properties of matrix coefficients of corepresentations of a locally compact quantum group".
Together with Erik Koelink.
J. Lie Theory 21 (2011), no. 4, 905928.
preprint (final version), journal.
 "Intuitionistic quantum logic of an nlevel system".
Together with Chris Heunen, Klaas Landsman and Bas Spitters.
Foundations of Physics 39 (2009), No. 7, 731759.
preprint (final version), journal.
Other
 "Locally compact quantum groups". Lecture notes, Bedlewo 2015.
Banach Center Publications 111 (2017), 153184.
link.
 "Noncommutative De Leeuw theorems". Noncommutative geometry. Oberwolfach Reports 2 (2015), 16311700.
link.
 "Hecke von Neumann algebras, operator spaces and absence of Cartan subalgebras". Noncommutative geometry and operator spaces in interaction. Oberwolfach Reports (to appear), 2016.
link.
 "Quantum groups and special functions". Winter school in Bizerte, Tunisia, 2010.
Prepared together with Erik Koelink.
notes.
Thesis
 "Noncommutative integration on locally compact quantum groups" (PhD Thesis 2012).
Advisor: Erik Koelink
Download: Thesis.
 "Gelfand spectra of C*algebras in topos theory" (MSc. Thesis 2008).
Under supervision of Klaas Landsman.
Awarded with the GQT MSc. thesis prize.

