My research interests are automorphic forms, automorphic representations and their arithmetic applications.
Publications
- L. Cai and B. Xu, Residues of intertwining operators for U(3,3) and base change, Int. Math. Res. Not., Vol. 2015, no. 12, 4064–4096, http://doi.org/10.1093/imrn/rnu058 (2015).
- D. Jiang, B. Liu, B. Xu and L. Zhang, The Jacquet-Langlands correspondence via twisted descent, Int. Math. Res. Not., Vol. 2016, No. 18, 5455–5492, http://doi.org/10.1093/imrn/rnv312 (2016).
- D. Jiang, B. Liu and B. Xu, A reciprocal branching problem for automorphic representations and global Vogan packets, to appear in J. Reine Angew. Math., http://doi.org/10.1515/crelle-2019-0016 (2019).
- B. Xu, On local descent to metaplectic groups and local theta correspondence, to appear in Acta Math. Sinica (Special Issue of Arithmetic Geometry) , http://doi.org/10.1007/s10114-020-8422-5 (2019).
- B. Liu and B. Xu, On top Fourier coefficients of certain automorphic representations of $GL_n$, to appear in manuscripta math., http://doi.org/10.1007/s00229-019-01176-z (2020).
Preprints
- B. Xu, On local descent to inner forms of odd special orthogonal groups, 43 pages.
- B. Xu, Local descent construction and Vogan L-packets, 18 pages, report for the proceedings of the 8th ICCM.
- B. Liu and B. Xu, Automorphic descent for symplectic groups: the branching problems and L-functions, 43 pages.