Overview
 Slides (in french) for a short/informal talk I gave to introduce myself and my recent research to my new colleagues in Paris.
 Slides for a somewhat colloquialstyle talk I gave about quantization of character varieties and topological field theories at the conference Geometric representation theory and lowdimensional topology in Edinburgh, in June 2019.
 Slides for a talk I virtually gave in Paris about dualizable and invertible finite braidedtensor categories.
 Slides for a talk on virtual knots and quantum groups at the Mathematical Physics Seminar, University of Nottingham.
 Slides for a talk on higher genus associators and quantum groups, séminaire de topologie algébrique du LAGA, Paris 13.
Papers

Gaudin Algebras, RSK and CalogeroMoser Cells in Type A (with I. Gordon and N. White) (arXiv)

Invertible braided tensor categories (with D. Jordan, P. Safronov and N. Snyder) (arXiv, to appear in AGT)

On dualizability of braided tensor categories (with D. Jordan and N. Snyder) (arXiv, to appear in Compositio Mathematica)

Quantum character varieties and braided module categories (with D. BenZvi and D. Jordan) (arXiv, Selecta Mathematica 24, pp 4711–4748(2018)))

A Duflo star product for Poisson groups (SIGMA 12 (2016), 088, arXiv)

Virtual tangles and fiber functors (To appear in JKTR, arXiv)

Integrating quantum groups over surfaces (with D. BenZvi and D. Jordan) (To appear in J. Top., arXiv)

Fourier transform for quantum Dmodules via the punctured torus mapping class group (with D. Jordan) (Quantum Topology (2017) 8(2):361379, arXiv)

Cyclotomic associators and finite type invariants for tangles in the solid torus (Algebraic & Geometric Topology 13 (2013) 33653409, arXiv)

A KohnoDrinfeld theorem for the monodromy of cyclotomic KZ connections (Comm. Math. Phys. 2012, 311, 5596, arXiv)
Slides for "What is ..." (ZMP Seminar, Hamburg)
 ... the Kontsevich integral (slides)
 ... higher algebra (slides)
Popularization
Thesis

Un théorème de KohnoDrinfeld pour les connexions de KnizhnikZamolodchikov cyclotomiques (tel00598766/)
Misc
Since it doesn't seem that they're available online, here are scanned copies of two of my favourite papers:
 Drinfeld, On quasitriangular quasiHopf algebras and a group closely connected with (pdf)
 Drinfeld, QuasiHopf algebras (pdf)