Research Interests
- Noncommutative geometry
& index theory & operator algebras & quantum groups
- Analysis on groups
& representation theory & harmonic/microlocal analysis & large-scale geometry
Postdocs
- The Université Clermont Auvergne offers one-year postdocs for foreigners.
Interested candidates in a compatible field should contact me (or someone else in the Labo de Maths). Deadlines are around March/April of each year.
Books
- C. Voigt & R. Yuncken, Complex semisimple quantum groups and representation theory.
Lecture Notes in Mathematics, 2264, Springer-Verlag.
[arXiv]
Articles
- (Click titles for published versions, [arXiv] for preprints.)
- 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
Links