Research Interest

Langlands program and its variations 

Papers and Preprints:arxiv preprints are old versions and may contain errors. If you are interested, please contact me for the latest version.

• • Howe finiteness conjecture for covering groups. Math. Res. Lett.24 (2017), no. 6, 1759–1774.

  • Spherical fundamental lemma for metaplectic groups.  Canad. J. Math. 70 (2018), no. 4, 898–924.

  • Endoscopic character identities for metaplectic groups. Journal für die reine und angewandte Mathematik 768 (2020), 1-37.

  • Knapp-Stein dimension theorem for covering groups. Pacific J. Math Vol. 306 (2020), No. 1, 265–280.

  • The Langlands dual and unitary dual of PGSO(8,E). Represent. Theory 24 (2020), 292-322

  • Rodier type theorem for generalized principal series. Math. Z. 299 (2021) 897–918

• • Speh-Vogan-Muller type irreducibility criterion for generalized principal series.  J. Algebra 636（2023) 483-509 

  • On supports of induced representations for p-adic special orthogonal and general spin groups. J. Algebra 595 (2022) 551-580 , joint with Chris Jantzen.

  • Jantzen type product formula for ``good'' reductive groups.  goldbergjantzen.pdf.

  • A remark on Bernstein--Zelevinsky classification for general linear groups.  bernstein-zelevinsky.pdf.

  • An asymptotic expansion of (k, c)-functionals for GLn(F).  Math. Z. 306 (2024) 

  • Cohomology of sheaves on the building for covering groups. In preparation, joint with Chuijia Wang. Schneider--Stuhler's argument works for the tame case.

  • Heiermann criterion on discrete series for covering groups. Under consideration.

  • Location of reducibility points of induced representations I: A toy example. redpoints(I) 

  • Holomorphy of normalized intertwining operators for certain induced representations. Math. Ann. (online)

  • Casselman--Shahidi's conjecture on normalized intertwining operators for groups of classical type and exceptional type. casselmanshahidiconjecture  reducedecomposition