Publications

Research Interests

• Noncommutative geometry
  &  index theory  &  operator algebras
• Representation theory
  &  quantum groups  &  harmonic analysis
• Pseudodifferential operators

Books

• C. Voigt & R. Yuncken, Complex semisimple quantum groups and representation theory.
  Lecture Notes in Mathematics, 2264, Springer-Verlag. [arXiv]

Articles

• C. Voigt & R. Yuncken, The Plancherel formula for complex semisimple quantum groups,
  Ann. Sci. Éc. Norm. Supér. (to appear) [arXiv]
• I. Androulidakis, O. Mohsen & R.Yuncken, The convolution algebra of Scwartz kernels on a singular foliation,
  J. Operator Theory (to appear), [arXiv]
• E. van Erp & R. Yuncken, A groupoid approach to pseudodifferential operators,
  J. Reine Agnew. Math 756 (2019), 151-182. [arXiv]
• M. Matassa & R. Yuncken, Regularity of twisted spectral triples and pseudodifferential calculus,
  J. Noncommut. Geom., 13 (2019), No. 3, 985-1009. [arXiv]
• E. van Erp & R. Yuncken, On the tangent groupoid of a filtered manifold,
  Bull. London Math. Soc. 49 (2017) 1000-1012. [arXiv]
• H. Emerson & R. Yuncken, Equivariant correspondences and the Borel-Bott-Weil theorem,
  Münster J. of Math. 10 (2017), 59-74. [arXiv]
• C. Voigt & R. Yuncken, Equivariant Fredholm modules for the full quantum flag manifold of SUq(3),
  Documenta Math. 20 (2015), 433-490. [arXiv]
• J. Bichon & R. Yuncken, Quantum subgroups of the compact quantum group SU_-1(3),
  Bull. London Math. Soc. 46 (2014), no. 2, 315-328. [arXiv]
• R. Yuncken, Foliation C*-algebras on multiply fibred manifolds,
  J. Funct. Anal. 265 (2013), no. 9, 1829-1839. [arXiv]
• R. Yuncken, On coarse spectral geometry in even dimension,
  C. R. Math. Acad. Sci. Soc. R. Can. 33 (2011), no. 2, 57-64. [arXiv]
• R. Yuncken, The Bernstein-Gelfand-Gelfand complex and Kasparov Theory for SL(3.C),
  Adv. Math. 226 (2011) 1474-1512. [arXiv]
• R. Yuncken, Products of longitudinal pseudodifferential operators on flag varieties,
  J. Funct. Anal. 258 (2010), no. 4, 1140-1166. [arXiv]
• R. Yuncken, Regular tessellations of the hyperbolic plane by fundamental domains of a Fuchsian group,
  Mosc. Math. J. 3 (2003), no. 1, 249-252. [arXiv]
• R. Yuncken, Analytic structures for the index theory of SL(3,C). (Thesis) [pdf]

Other documents

• Rough lecture notes on Quantized Semisimple Lie Groups, from the Winter School on Functional analysis in Seoul, December 2019: [pdf]
• A short article on the experiences of a non-French mathematician for the collection Des Mathématiques en Auvergne, histoire, progrès et interactions (published by the Alliance Universitaire d’Auvergne, 2014).