Huafeng Zhang

Maître de Conférences (depuis 2017), Université de Lille 

Laboratoire Paul Painlevé UMR CNRS 8524. Équipe: Géométrie et Topologie. Bureau: M2 -- 310.

Recherche: groupes quantiques, super algèbres de Lie, théorie des représentations, physique mathématique

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Publications:

[1] Representations of quantum affine superalgebras, Mathematische Zeitschrift 278, no. 3 (2014), 663--703. (arXiv:1309.5250)

[2] RTT realization of quantum affine superalgebras and tensor products, International Mathematics Research Notices 2016, no. 4 (2016), 1126--1157. (arXiv:1407.7001)

[3] Asymptotic representations of quantum affine superalgebras, Symmetry Integrability and Geometry: Methods and Applications 13 (2017), 066. (arXiv:1410.0837)

[4] Universal R-matrix of quantum affine gl(1,1), Letters in Mathematical Physics 105, no. 11 (2015), 1587--1603. (arXiv:1503.06053)

[5] Fundamental representations of quantum affine superalgebras and R-matrices, Transformation Groups 22, no. 2 (2017), 559--590. (arXiv:1506.06093)

[6] Two-parameter quantum general linear supergroups, Dobrev V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1, LT-XII/QTS-X 2017, 367--376. Springer Proceedings in Mathematics & Statistics, vol 263. Springer, Singapore. (arXiv:1601.08196)

[7] avec G. Felder, Baxter operators and asymptotic representations, Selecta Mathematica 23, no. 4 (2017), 2947--2975. (arXiv:1611.00628)

[8] Length-two representations of quantum affine superalgebras and Baxter operators, Communications in Mathematical Physics 358, no. 2 (2018), 815--862. (arXiv:1612.09476)

[9] Elliptic quantum groups and Baxter relations, Algebra and Number Theory 12, no. 3 (2018), 599--647. (arXiv:1706.07574)

[10] Yangians and Baxter's relations, Letters in Mathematical Physics 110 (2020), 2113--2141. (arXiv:1808.02294)

[11] avec D. Hernandez, Shifted Yangians and polynomial R-matrices, Publications of the Research Institute for Mathematical Sciences 60, no. 1 (2024): 1--69. (arXiv:2103.10993)

[12]  Shifted Yangians, prefundamental representations and polynomial R-matrices,  Oberwolfach Reports 18 (2021), 2791--2825.

[13] Theta series for quantum loop algebras and Yangians, Communications in Mathematical Physics (arXiv:2307.04043)

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Enseignement:

2023, Cours M2: Groupes quantiques et invariants quantiques, avec A. Virelizier (Notes sur les groupes quantiques)

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Thèse:  Représentations des super algèbres affines quantiques. (Directeur: David Hernandez)

              Université Paris Diderot - Paris 7, Institut de Mathématiques de Jussieu - Paris Rive Gauche

Post-doc: 2015-2017, ETH Zürich, Departement Mathematik, Institut für Theoretische Physik (SwissMAP)