Preprints :

1. Invariant means on subspaces of quantum weakly almost periodic functionals, 17 p., arXiv :2206.12591 [math.OA].
2. Quantum semigroups : a survey, 28 p., arXiv :1807.06282 [math.OA].

Published / accepted :

1. with Rauan Akylzhanov, Michael Ruzhansky, and Haonan Zhang, Norms of certain functions of the Laplace operator on the `ax+b’ groups, 28 p., Math. Zeitschrift (2022). ArXiv :2101.00584 [math.FA].
2. with A. Abbar, Γ-supercyclicity of families of translates in weighted L^p-spaces on locally compact groups, J. Math. Anal. Appl. 495, Issue 1 (2021), ArXiv : 2005.11230 [math.FA].
3. with Safoura Zadeh, On isomorphisms between weighted L^p-algebras, Canad. Math. Bull. 64 no.4, pp.853-866. ArXiv : 1803.06083 [math.FA].
4. Duals of quantum semigroups with involution, Adv. Oper. Theory 5(1), 167-203 (2020), ArXiv : 1611.04830 [math.OA].
5. with Marat A. Aukhadiev, Quantum semigroups generated by locally compact semigroups, Illinois J. Math. 62, no.1-4 (2018), pp. 41-60. ArXiv : 1504.00407 [math.OA].
6. with E. Abakumov, Density of translates in weighted L^p spaces on locally compact groups, Monatsfhefte Math. 183(3), 397-413 (2017). ArXiv : 1703.06775 [math.FA].
7. with J. Roydor, Homomorphisms with small bound between Fourier algebras, Israel J. Math. 217 (2017), Iss. 1, pp. 283-301. ArXiv : 1706.00701 [math.FA].
8. A duality of locally compact groups which does not involve the Haar measure. Math. Scand. 116 (2015), 250-286. ArXiv :1201.5023 [math.OA].
9. A duality for Moore groups. J. Oper. Theory 69 Iss.2 (2013), 571-600, ArXiv :0907.1409 [math.OA].
10. On continuity of measurable group representations and homomorphisms. Stud. Math. 210 no.3 (2012), 197-208, ArXiv : 1010.0999 [math.FA].
11. with C. Molitor-Braun : Harmonic analysis of weighted L^p-algebras. Expo. Math. 30 (2012), 124-153, ArXiv : 1103.3610 [math.FA].
12. An example of a weighted algebra L_p^w(G) on uncountable group.
    J. Math. Anal. Appl. 353, Iss. 2 (2009), 660-665.
    ArXiv : 0805.0283 [math.FA].
13. Constructions of regular algebras L_p^w(G).
    Mat. Sbornik 200, no. 2 (2009), 75-88.
    ArXiv :0802.4333 [math.FA].
14. Invariant weighted algebras L_p^w(G). Math. Notes 84 no. 3-4, 529-537 (2008).
    Translated from Mat. Zametki 84, no. 4, 567-576 (2008).
    ArXiv :0707.0009 [math.FA].
15. Weighted L_p-algebras on groups.
    Funct. Anal. Appl. 40, no. 3, 234—236 (2006) ;
    translated from Funkts. Anal. Prilozh. 40, No. 3, 82-85 (2006).
16. with S. A. Shkarin : Multiplicative spectra of Banach spaces. J. Math. Sci. NY 131, no. 6 (2005), 6112-6119.
17. with J. Monecke, W. Cordts, and G. Richardson : Second order nonlinear susceptibility coefficients of porous semiconducting compounds. Phys. status solidi (b) , vol. 241, iss. 3, pp. R8-R10 (2004).
18. with J. Monecke and W. Cordts : Second harmonic generation in porous III-V compounds.
    Moldav. J. Phys. Sci. 1 no. 4 (2002), 89-91.
19. Multiplication on Frechet spaces.
    Mosc. Univ. Math. Bull. 56, no. 1, 38-40 (2001) ;
    translated from Vestn. Mosk. Univ., Ser. I, 56, no. 1, 49-51 (2001).

Lists of my papers (in mathematics) at : Mathscinet, Zentralblatt, Arxiv.

Habilitation thesis :

• Contributions to noncommutative harmonic analysis and duality problems, 55 p., defended on March 27, 2018, Besançon.

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Latest conferences where I was an organizer :

Polonium project summary workshop, Decembre 15 and 17, 2020, online

Arbre de Noël du GDR Géométrie Non-commutative, Decembre 2-4, 2020, online

Entangling Non-commutative Functional Analysis and Geometry of Banach Spaces, CIRM, Luminy, October 12-16, 2020

Journées de jeunes analystes non-commutatifs, Besançon, November 25-26, 2019

Autumn School on Multipliers in NC analysis and their applications, Besançon, November 18-22, 2019

Journées en Analyse Fonctionnelle, Besançon, March 26-27, 2018

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I was the coordinator on the French side of the following projects :

• PHC Star, France-South Korea, 2016-2018. Allowed to finance 5 visits to France and 8 visits to South Korea, in particular for the conference in Seoul, May 2017.
• PHC Polonium, France-Poland, 2018-2020. Allowed to finance 4 visits to France and 2 visits to Poland, until slowed down by the COVID pandemic.
  The visits were in particular for the Autumn school on multipliers and Young NC analysts workshop in November 2018.
  The final workshop of the project takes place online.

I am / was also a member of the projects :

• ANR Noncommutative analysis on groups and quantum groups, coordinator : Quanhua Xu. We hired a postdoc for the year 2020/21 : Hua Wang. In 2022/23, another postdoc position is planned in Caen. An online conference will take place in June 2021.
• I-SITE Noncommutative and Geometric Methods in Functional Analysis, coordinator : Uwe Franz. The project (co-)funded most of the conferences in the list above (2018, 2019, 2019, 2020).
• GDR Analyse Fonctionnelle, Harmonique et Probabilités, coordinator : Gilles Lancien
• GDR Géométrie Non-commutative, coordinator : Jean-Louis Tu. I co-organized the last annual meeting of the GDR, in 2020 it took place online.

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J’encadre tous les ans des projets en Licence 3, Master 1 ou Master 2.

Le sujet actuellement proposé en Master 1 est Fonctions définies positives.

Les mémoires des dernières années :

• De l’inégalité classique de Bernstein à sa généralisation aux groupes localement compacts, David Hatzl, 2020, M2
• Certains résultats sur les algèbres de von Neumann des groupes discrets, Jean-Jacques Stranic, 2020, M2
• Representation of compact groups, Ma Yi et Wang Jiaqi, 2020, M1
• Caldéron-Zygmund Operators and their applications to multiplier theory, Hao Zhang, 2019, M2
• Variétés différentielles et leur groupe fondamental, Brandon Vizioli-Marion, 2019, M1

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Mon seul cours tapé en entier est Intégration, semestre 5.

Autres notes et les sujets d’examens des années précédentes se trouvent sur Moodle dans les cours correspondants.

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