Kenny De Commer - Curriculum Vitae

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1 Kenny De Commer - Curriculum Vitae Work Address Vakgroep DWIS VUB, Pleinlaan Brussels Belgium Date of birth 20 August 1983 Nationality Belgian Phone +32 (0) Cell +32 (0) kenny.de.commer@vub.be Homepage Research interests Operator algebras; Functional analysis; Quantum groups; Representation theory; Tensor Categories; Lie algebras Education and employment Feb Tenure track research professor (ZAP-BOF) Vrije Universiteit Brussel (VUB), Belgium Maître de conférences Université de Cergy-Pontoise, France Postdoc (advisor: Prof. R. Longo) Università di Tor Vergata, Rome, Italy PhD Aspirant FWO (Advisor: Prof. A. Van Daele) KU Leuven, Belgium PhD title: Galois coactions for algebraic and locally compact quantum groups Date of defence: 21 May Bachelor and Masters in mathematics KU Leuven, België Teaching Supervision of bachelor and master theses Bachelor thesis J. Bosmans, Amenability van groepen en spectrale radius (2018) Bachelor thesis D. Ilic, Graffen en operatoren (2018) Master thesis J. Konings, Homogene Acties van Compacte Kwantumgroepen (2017) Bachelor thesis W. Vanhulle, Omtrent eigenschap (T) (2017) Bachelor thesis T. De Deyn, De stelling van Eberlein-Shmulyan (2017) Bachelor thesis C. Verwimp, Een elementair bewijs van Gromov s stelling (2016) Bachelor thesis B. Verbeken, De stelling van Lidskii (2016) Introduction to Functional Analysis Bachelor in Mathematics, 6SP, VUB Banach and C -algebras Master in Mathematics, 6SP, VUB 1

2 Mathématiques pour les sciences L2 Physics, Chemistry and Geology, Cergy-Pontoise Teaching Assistant Complex Analysis, Representation Theory, Analysis I, Introduction to Analysis, Proofs and Reasoning, Calculus Administrative duties Secretary of the faculty of Sciences and Bio-engineering Sciences, VUB Deputy Head of the department of mathematics, VUB 2016 Co-organisation conference Aspects of higher representation theory: quantum groups and categorification, VUB, Brussels, Belgium Organisation VUB-ULB-UCL seminars Quantum groups, Hopf algebras and monoidal categories 2016 Co-organisation conference Topological Quantum Groups and Hopf Algebras, IMPAN, Warsaw, Poland 2016 Organisation VUB Francqui chair Stefaan Vaes 2015 Organisation Workshop Facets of quantum homogeneous spaces Secretary for the program committee of the bachelor in mathematics, VUB Research coordinator of the department of mathematics, VUB Exchange coordinator of the department of mathematics, VUB Member of PhD jurys: R. Al-Aifari (2014), G. Klein (2014), Manon Thibault de Chanvalon (2014), I. Van Gelder (2015), J. Crespo (2015), P. Verraedt (2016), M. Van Campenhout (2016), T. Raedschelders (2017), G. Janssens (2017), R. Martos (2018), F. Taipe (2018) Refereeing for Duke Math. J., Adv. Math., Int. Math. Res. Not., J. Funct. Anal., Comm. Math. Phys., J. Algebra Projects FWO-project Projective representations of compact quantum groups and quantizations of non-compact Lie groups VUB Node coordinator EU RISE project Quantum dynamics PhD students and postdocs M. Matassa, postdoc J. Konings, Quantum homogeneous spaces for quantum SU(2), PhD student J. Crespo, postdoc C. Budde, Quantisations of non-compact Lie groups, Phd student This student did not finish his PhD M. Floré, Continuous fields of quantum groups, PhD student 2

3 Recent research visits M. Yakimov, Louisiana State University, USA, 6-18 December 2017 S. Neshveyev, University of Oslo, Norway, 2-7 July 2017 Newton Institute, Cambridge, UK, April 2017 M. Yakimov, Louisiana State University, USA, 3-12 March 2017 Simons Semester, Warsaw, Poland, November 2016 S. Neshveyev, University of Oslo, Norway, August 2016 Fields institute, Toronto, Canada, 16 July - 14 August 2016 P. Hajac, IMPAN, Warsaw, Poland, January 2015 T. Timmermann, University of Münster, Germany, May 2014 Recent conferences, meetings, workshops and seminars Compact quantum symmetric spaces, KU Leuven operator algebra seminar, Leuven, Belgium, 19 October 2018, on invitation of S. Vaes. Quantum groups, quantum flag manifolds and quantum symmetric spaces, Opening lecture at conference Quantum homogeneous spaces, Edinburgh, UK, June 2018, on invitation of U. Krahmer. Three categorical pictures for quantum symmetric spaces, Workshop Tensor categories, Hopf algebras and quantum groups, Marburg, Germany, January 2018, on invitation of S. Natale. The continuous field of quantum GL(N, C), Conference New geometry of quantum dynamics, January 2018, Warsaw, Poland, on invitation of P. Hajac. Three categorical pictures for quantum symmetric spaces, seminar Geometry Seminar Louisiana state university, Louisiana, USA, 13 December 2017, on invitation of M. Yakimov. Quantum actions on discrete spaces, Conference Hopf algebras and noncommutative geometry, Hefei, China, August 2017, on invitation of Y. Zhang en S. Caenepeel. I-factorial quantum groups, Conference Topological quantum groups and harmonic analysis, Seoul National University, South-Korea, May 2017, on invitation of H. Hee Lee. I-factorial quantum torsors and Heisenberg algebras of quantized enveloping type, focus program Operator Algebras: Subfactors and their Applications, Newton Institute, Cambridge, UK, 12 April 2017, on invitation of D. Evans. Quantized enveloping algebras of Heisenberg type, Algebra and number theory seminar, Louisiana State University, USA, 28 February 2017, on invitation of M. Yakimov. I-factorial quantum torsors, Conference Non-commutative analysis, Institute of Mathematical Sciences, Chennai, India, 6 11 February 2017, on invitation of I. Patri. Torsion-freeness for universal quantum groups, Special Session on Quantum Groups of the Annual Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, 4 7 January, 2017, Atlanta, USA, on invitation of S. Wang. Torsion-freeness for discrete quantum groups, ARTIN 49 meeting, November 2016, Lancaster, UK, on invitation of J. Grabowski. Free actions of compact quantum groups, Conference Geometry, Representation Theory and the Baum- Connes Conjecture, July 2016, The Fields Institute, Toronto, Canada, on invitation of P. M. Hajac. A field of quantum upper triangular matrices, Conference Quantum groups: geometry, representations, and beyond, 9 14 May 2016, Oslo, Norway, on invitation of S. Neshveyev. 3

4 Compact group actions admitting associated vector bundles, seminar Non-commutative geometry, 14 December 2015, IMPAN, Warsaw, Poland, on invitation of P. Hajac. The quantization problem for non-compact Lie groups, lecture Colloquium Geometry and Quantum Theory, 29 October 2015, Woudschoten, the Netherlands, on invitation of M. Solleveld. Actions of compact quantum groups, lectures for summer school Topological quantum groups, Bedlewo, Poland, 28 June - 5 July 2015, on invitation of A. Skalski. Partial compact quantum groups, workshop Quantum Groups in Noncommutative Geometry, 15 June 2015, Triëste, Italië, on invitation of P. Hajac. Partial compact quantum groups, summer school Representation theory and operator algebras, Copenhagen 3-4 June 2015, Copenhague, Denmark, on invitation of B. Yuncken. Coamenability for partial compact quantum groups, meeting Noncommutative Geometry GDR meeting, Besano n, France, 28 November 2014, on invitation of Y. Kuznetsova. Poisson-Lie groupoids and the contraction procedure, Conference From Poisson brackets to universal quantum symmetries, Warsaw, Poland, 20 August 2014, on invitation of P. M. Hajac. Approximation properties for quantum groups, Conference Group theoretical methods in physics, Ghent, Belgium, 15 July A new presentation of quantum flag manifolds, Conference Integrable systems and quantum symmetries 2014, Prague, Chech Republic, 27 June 2014, on invitation of C. Burdik. Universal quantum groupoids, Mathematical physics seminar, Nijmegen, the Netherlands, 4 June 2014, on invitation of E. Koelink. Universal quantum groupoids, Seminar Noncommutative Geometry, Warsaw, Poland, 14 May 2014, on invitation of P. M. Hajac. A new presentation for quantum flag manifolds, talk at the workshop Quantum groups and operator algebras, Munster, Germany, 8 May 2014, on invitation of M. Caspers. Universal quantum groupoids, workshop Quantum symmetries in free probability, Saarbrücken, Germany, 4 April 2014, on invitation of M. Weber. Quantization of coadjoint orbits, talk at the conference on Noncommutative Geometry and Quantum Groups in honour of M. Rieffel, Toronto, Canada, June , on invitation of P. M. Hajac. Approximation properties for free quantum groups, KU Leuven operator algebra seminar, Leuven, België, 29 November 2013, on invitation of S. Vaes. Quantization of coadjoint orbits, talk at the conference on Noncommutative Geometry and Quantum Groups in honour of M. Rieffel, on invitation of P.M. Hajac, Toronto, Canada, June Marches aléatoires réciproques, catégories de Temperley-Lieb et actions ergodiques de groupes quantiques, Presentation at the ULB, Belgium, on invitation of prof. J. Vercruysse, 4 June 2013 Marches aléatoires réciproques, catégories de Temperley-Lieb et actions ergodiques de groupes quantiques, Presentation for the seminar Caen-Cergy-Clermont-Paris, Théorie des Représentations, Paris 7, France, on invitation of M. Varagnolo, 31 May Reciprocal random walks and ergodic actions of quantum SU(2), Presentation at the KU Leuven, Leuven, Belgium, on invitation of prof. S. Vaes, 17 May Reciprocal random walks and ergodic actions of quantum SU(2), Presentation at the Radboud Universiteit, the Netherlands, on invitation of prof. E. Koelink, 15 May Reciprocal random walks and ergodic actions of quantum SU(2), Presentation at the Université catholique de Louvain, on invitation of P. Bieliavsky, 19 April Two talks at the Université de Franche-Comté, Besançon, France, on invitation of prof. U. Franz, 2 April

5 Marches aléatoires réciproques, catégories de Temperley-Lieb et actions ergodiques de groupes quantiques, presentation in the groupe de travail de physique mathématique, Cergy, 18 February A classification of the ergodic actions of quantum SU(2), Conference Noncommutative Geometry and Applications to Physics, Milaan, Italië, December 2012, on invitation of C. Pinzari. Projective representations of quantum groups, Conference Recent Developments in Operator Algebras and Related Topics, Kyoto, Japan, September Non-compact quantum groupoids and reflection equation algebras, presentation for the conference Noncommutative geometry and quantum groups, Oslo, Norway, June 2012, on invitation of S. Neshveyev. Group dual subgroups of compact quantum groups, presentation in the workshop Quantum groups, on invitation of prof. E. Koelink, Radboud Universiteit, Nijmegen, the Netherlands, 29 March Podleś spheres, quantum groupoids and special functions, Conference Meeting on Operator algebras, Quantum groups and Tensor categories, in honour of the 65th birthday of Prof. Leonid Vainerman, Caen, Frankrijk, March 2012, on invitation of R. Vergnioux. Compact quantum groups and their associated vector bundles, presentation in the Mathematical physics seminar, on invitation of prof. E. Koelink, Radboud Universiteit, Nijmegen, the Netherlands, 13 March Groupes quantiques et algèbres d opérateurs, seminar for the groupe de travail de physique mathématique, Université de Cergy-Pontoise, 21 November Group dual subgroups of compact quantum groups, presentation in the Noncommutative Geometry Seminar, IMPAN, Warsaw, on invitation of P.M. Hajac, 5 March A finiteness condition for compact quantum group actions, presentation in the Noncommutative Geometry Seminar, IMPAN, Warsaw, on invitation of P.M. Hajac, 5 March Compact quantum groups and their associated vector bundles, presentation for the Operator algebra seminar, on invitation of prof. S. Vaes, KU Leuven, België, 2 March Principal compact quantum group actions on unital C -algebras are Galois, presentation for the Noncommutative Geometry Seminar, IMPAN, Warsaw, on invitation of P.M. Hajac, 7 November Equivariant Morita equivalences between Podleś spheres, presentation for the Noncommutative Geometry Seminar, IMPAN, Warsaw, on invitation of P.M. Hajac, 9 May Projective representations for quantum SU(2), presentation at the University of Münster, on invitation of C. Voigt, Münster, Germany, 11 January A triple of locally compact quantum groups, presentation at the conference Quantum groups: Galois and integration techniques, Clermont-Ferrand, 30 August 3 Sept. 2010, on invitation of prof. J. Bichon. On the deformation of quantum groups, presentation at SISSA, Trieste, Italie, on invitation of prof. L. Dabrowski, 7 July Galois co-objects for von Neumann algebraic quantum groups, third EUNCG conference, Cardiff, Wales, 2 July 2010, on invitation of M. Pugh. On a correspondence between the q-deformations of SU(2) and E(2), presentation at the Radboud Universiteit, Nijmegen, the Netherlands, on invitation of prof. E. Koelink, 5 January Projective representations of compact quantum groups, presentation at the conference 09GENCO, Noncommutative Geometry and Quantum Physics, Vietri Sul Mare, 31 August 5 Sept Three lectures on L équivalence (co)monoïdale pour les algèbres de Hopf, Université de Caen, Laboratoire de Mathématiques Nicolas Oresme, on invitation of prof. L. Vainerman, Nov Monoidal equivalence of locally compact quantum groups, Conference GPOTS 2008, Cincinatti, USA, June Continuous families of hyperfinite subfactors with the same standard invariant (after D. Bisch, R. Nicoara et S. Popa), operator algebra seminar, K.U. Leuven, Belgium, 23 February

6 Research articles K. De Commer and M. Matassa, Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices, preprint, arxiv: (2018). K. De Commer and J. Konings, A correspondence between homogeneous and Galois coactions of Hopf algebras, preprint (2018), arxiv: Y. Arano and K. De Commer, Torsion-freeness for fusion rings and tensor C -categories, preprint (2015), arxiv: K. De Commer, Actions of skew braces and set-theoretic solutions of the reflection equation, preprint (2018), arxiv: , accepted for publication in Proceedings of the Edinburgh Mathematical Society. K. De Commer and M. Floré, The field of quantum GL(N, C) in the C -algebraic setting, preprint (2018), arxiv: , accepted for publication in Selecta Mathematica. K. De Commer, S. Neshveyev, L. Tuset and M. Yamashita, Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations, preprint (2017), arxiv: , accepted for publication in Communications in Mathematics. K. De Commer, P. Kasprzak, A. Skalski and P. M. Sołtan, Quantum actions on discrete quantum spaces and a generalization of Clifford s theory of representations, Israel J. Math. 226 (1) (2018), K. De Commer, I-factorial quantum torsors and Heisenberg algebras of quantized universal enveloping type, J. Funct. Anal. 274 (1) (2018), K. De Commer, P. Hajac and P. Baum, Free Actions of Compact Quantum Groups on Unital C -Algebras, Doc. Math. 22 (23) (2017), K. De Commer, Actions of compact quantum groups, Banach Center Publications 111 (2017), K. De Commer and M. Floré, A field of quantum upper triangular matrices, Int. Math. Res. Notices 2017 (16) (2016), K. De Commer, C*-algebraic partial compact quantum groups, J. Funct. Anal. 270 (10) (2016), K. De Commer, Poisson Lie groupoids and the contraction procedure, Banach Center Publications 106 (2015), K. De Commer and T. Timmermann, Partial compact quantum groups, J. Algebra 438 (2015), K. De Commer and S. Neshveyev, Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras, Transform. Groups 20 (3) (2015), K. De Commer and E. Koelink, A q-hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups, Proc. Amer. Math. Soc. 143 (2015), K. De Commer and M. Yamashita, Tannaka-Krein duality for compact quantum homogeneous spaces. II. Classification of quantum homogeneous spaces for quantum SU(2), J. Reine Angew. Math. 708 (2015), K. De Commer, A. Freslon and M. Yamashita, CCAP for Universal Discrete Quantum Groups, Comm. Math. Phys. 331 (2) (2014), K. De Commer, Representation theory of quantized enveloping algebras with interpolating real structure, SIGMA 9 (081) (2013), 20 pages. K. De Commer and M. Yamashita, Tannaka-Krein duality for compact quantum homogeneous spaces. I. General theory, Theory and Applications of Categories 28 (31) (2013), K. De Commer and M. Yamashita, A construction of finite index C -algebra inclusions from free actions of compact quantum groups, Publ. Res. Inst. Math. Sci. 49 (4) (2013),

7 K. De Commer, Equivariant Morita equivalences between Podleś spheres, Banach Center Publications 98 (2012), T. Banica, J. Bhowmick and K. De Commer, Quantum isometries and group dual subgroups, Annales Mathématiques Blaise Pascal 19 (2012), K. De Commer, On a Morita equivalence between the duals of quantum SU(2) and quantum E(2), Adv. Math. 229 (2) (2012), K. De Commer, On the construction of quantum homogeneous spaces from -Galois objects, Algebr. Represent. Theory 15 (4) (2012), K. De Commer, Projective representations for compact quantum groups, J. Funct. Anal. 260 (12) (2011), K. De Commer, On a correspondence between quantum SU(2), quantum E(2) and extended quantum SU(1, 1), Comm. Math. Phys 304 (1) (2011), K. De Commer, Comonoidal W -Morita equivalence for von Neumann bialgebras, J. Noncommut. Geom. 5 (4) (2011), K. De Commer, Galois coactions and cocycle twisting for locally compact quantum groups, J. Operator Theory 66 (1) (2011), K. De Commer and A. Van Daele, Multiplier Hopf algebras imbedded in locally compact quantum groups, Rocky Mountain J. Math. 40 (4) (2010), K. De Commer, On cocycle twisting of compact quantum groups, J. Funct. Anal. 258 (10) (2010), K. De Commer, A note on the von Neumann algebra underlying some universal compact quantum groups, Banach J. Math. Anal. 3 (2) (2009), K. De Commer, Galois objects for algebraic quantum groups, J. Algebra 321 (2009),

CURRICULUM VITAE - TEODOR BANICA

CURRICULUM VITAE - TEODOR BANICA Professor of Mathematics University of Cergy-Pontoise Born 05/25/1973 at Bucharest Romanian and French citizen ADDRESS Department of Mathematics University of Cergy-Pontoise