Publications and preprints

  1. Transfers of K-types on local theta lifts of characters and unitary lowest weight modules,
    (with Hung Yean Loke and U-Liang Tang), ArXiv e-prints:1207.6454,
    Israel Journal of Mathematics, Vol 201, Issue 1, pp 1-24, 20 June 2014
  2. Derived functor modules, dual pairs and U(g)K-actions, ArXiv e-prints:1310.6378, Journal of Algebra, Volume 450, pp 629–645, Mar 2016
  3. Invariants and K-spectrums of local theta lifts,
    (with Hung Yean Loke), ArXiv e-prints:1302.1031, Compositio Mathematica, Jan 2015 [Errata]
  4. Local theta correspondences between epipelagic supercuspidal representations,
    (with Hung Yean Loke and Gordan Savin), ArXiv e-prints:1501.07069, Mathematische Zeitschrift, Jun 2016
  5. Local theta correspondence between supercuspidal representations,
    (with Hung Yean Loke), ArXiv e-prints: 1512.01797, 2018, Annales Scientifiques de l’ENS (PDF) [Errata]
  6. On two questions concerning representations distinguished by the Galois involution,
    (with Maxim Gurevich and Arnab Mitra), ArXiv e-prints: 1609.03155, 2017, Forum Mathematicum
  7. Nilpotent orbits of orthogonal groups over p-adic fields, and the DeBacker parametrization (with Tobias Bernstein, Monica Nevins, Jit Wu Yap) ArXiv e-prints:1808.03593
  8. On the Notion of Metaplectic Barbasch–Vogan Duality (with Dan Barabasch, Binyong Sun and Chen-Bo Zhu) ArXiv e-prints: 2010.16089, to appear in IMRN
  9. Special unipotent representations of real classical groups: construction and unitarity (with Dan Barabasch, Binyong Sun and Chen-Bo Zhu) ArXiv e-prints: 1712.05552 (slides)
    (new version). The python code of the algorithm in the paper can be found at https://github.com/jiajunma/unipotentrepn
    (Watch the talk by Chengbo Zhu explaining the main points of the paper.)
  10. Special unipotent representations of real classical groups: counting and reduction to good parity (with Dan Barabasch, Binyong Sun and Chen-Bo Zhu) ArXiv e-print: 2205.05266
  11. Generic Hecke algebra and theta correspondence over finite fields (with Congling Qiu, Jialiang Zou), ArXiv e-print: 2208.00431 (Watch my talk)
  12. Fourier-Jacobi models of Deligne-Lusztig characters and depth zero local descent for unitary groups (with Dongwen Liu and Fang Shi), ArXiv e-print: 2208.02308, to appear in Israel J. Math.
  13. Genuine special unipotent representations of real and quaternionic spin groups (with Dan Barbasch, Binyong Sun and Chen-Bo Zhu), ArXiv e-print: 2303.03571, to appear in Progr. Math., Festschrift in honor of Toshiyuki Kobayashi.
  14. Special unipotent representations of simple linear Lie groups of type A (with Dan Barbasch, Binyong Sun and Chen-Bo Zhu), ArXiv e-print: 2304.04495 , to appear in Acta. Math. Sin.-English Ser.
  15. A classification of minimal highest weight modules (with Zhanqiang Bai, Wei Xiao, and Xun Xie), ArXiv e-print: 1909.00914
  16. A combinatorial characterization of the annihilator varieties of highest weight modules for classical Lie algebras (with Zhanqiang Bai, and Yutong Wang), ArXiv e-print: 2304.03475