Publications/preprints

Publications and preprints

Preprints

  1. Theta correspondence and Springer correspondence
    (with Zhiwei Yun, Congling Qiu, and Jia-Liang Zou), ArXiv e-print; 2512.13020

Publications

  1. Special unipotent representations of real classical groups: construction and unitarity (with Dan Barbasch, Binyong Sun and Chen-Bo Zhu), J. Amer. Math. Soc., published electronically September 21, 2026. DOI: 10.1090/jams/1082. ArXiv e-prints: 1712.05552 (slides). 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.)
  2. 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, Israel Journal of Mathematics 273 (2), 581–631 (2026; first published online 11 December 2025).
  3. On the annihilator variety of a highest weight module for classical Lie algebras (with Zhanqiang Bai, and Yutong Wang), ArXiv e-print: 2304.03475, Journal of the London Mathematical Society 112 (2), Article e70256 (2025).
  4. Special unipotent representations of real classical groups: counting and reduction (with Dan Barbasch, Binyong Sun and Chen-Bo Zhu) ArXiv e-print: 2205.05266, Journal of the European Mathematical Society, published online first, 28 March 2025.
  5. Genuine special unipotent representations of spin groups (with Dan Barbasch, Binyong Sun and Chen-Bo Zhu), ArXiv e-print: 2303.03571, Symmetry in Geometry and Analysis, Volume 1, Progress in Mathematics 357, pp. 141–164 (2025; first published online 18 September 2024).
  6. Associated varieties of minimal highest weight modules (with Zhanqiang Bai, Wei Xiao, and Xun Xie), Represent. Theory 28 (2024), 498-513, ArXiv e-print: 1909.00914 https://doi.org/10.1090/ert/681
  7. 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 , Acta Mathematica Sinica, English Series 40 (3), 707–716 (2024).
  8. Generic Hecke algebra and theta correspondence over finite fields (with Congling Qiu, Jialiang Zou), ArXiv e-print: 2208.00431, Advances in Mathematics 438, Article 109444 (2024). (Watch my talk)
  9. On the Notion of Metaplectic Barbasch–Vogan Duality (with Dan Barbasch, Binyong Sun and Chen-Bo Zhu) ArXiv e-prints: 2010.16089, International Mathematics Research Notices 2023 (20), 17822–17852 (2023)
  10. 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, Algebras and Representation Theory 23 (5), 2033–2058 (2020).
  11. Local theta correspondence between supercuspidal representations,
    (with Hung Yean Loke), ArXiv e-prints: 1512.01797, 2018, Annales Scientifiques de l’ENS (PDF) [Errata]
  12. On two questions concerning representations distinguished by the Galois involution,
    (with Maxim Gurevich and Arnab Mitra), ArXiv e-prints: 1609.03155, Forum Mathematicum 30 (1), 141–157 (2018; first published online in 2017)
  13. Local theta correspondences between epipelagic supercuspidal representations,
    (with Hung Yean Loke and Gordan Savin), ArXiv e-prints:1501.07069, Mathematische Zeitschrift, Jun 2016
  14. 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
  15. Invariants and K-spectrums of local theta lifts,
    (with Hung Yean Loke), ArXiv e-prints:1302.1031, Compositio Mathematica, Jan 2015 [Errata]
  16. 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

Notes

  1. Associated cycles of local theta lifts of unitary characters and unitary lowest weight modules,
    (with Hung Yean Loke and U-Liang Tang), ArXiv e-prints:1207.6451, 2011
  2. Local Theta lifts of one-dimensional representations, Notes on Symposium on Representation Theory 2012, Kagoshima, Japan