Teaching

Number Theory I (note), Number theory II (note dated 1/9/2022)

Research Interest

Number theory and representation theory, especially the p-adic Langlands programme and its arithmetic applications.

Publications and preprints

• "Bernstein eigenvarieties" (with Christophe Breuil), (2021), arXiv:2109.06696, preprint, 150 pages, (pdf).
• "Locally analytic Ext1 for GL2(Qp) in de Rham non trianguline case", Representation theory, Vol. 26, (2022), p. 122-133, (pdf).
• "GL2(Qp)-ordinary families and automorphy lifting", to appear in Manuscripta mathematica, 51 pages, (pdf).
• "Sur un problème de compatibilité local-global localement analytique" (with Christophe Breuil), to appear in Memoirs of the American Mathematical Society, 160 pages, (pdf).
• "A note on critical p-adic L-functions", Acta Mathematica Sinica, English Series (Special Issue on Arithmetic Geometry), Vol. 37, (2021), p. 121-141, (pdf).
• "Simple L-invariants for GLn", Transactions of the American Mathematical Society, Vol. 372, No. 11, (2019), p. 7993-8042, (pdf).
• "Higher L-invariants for GL3(Qp) and local-global compatibility" (with Christophe Breuil), Cambridge Journal of Mathematics, Vol. 8, No. 4, (2020), p. 775-951, (pdf).
• "Companion points and locally analytic socle for GL2(L)", Israel Journal of Mathematics, Vol. 231, Issue 1, (2019), p. 47-122, (pdf).
• "Some results on the locally analytic socle for GLn(Qp)", International Mathematics Research Notices, Vol. 2019, Issue 19, (2019), p. 5989-6035, (link).
• "L-invariants, partially de Rham families, and local-global compatibility", Annales de l'Institut Fourier, 67 no. 4, (2017), p. 1457-1519, (pdf).
• "L-invariants and local-global compatibility for GL2/F", Forum of Mathematics, Sigma, Vol. 4, e13, (2016), 49 pages, (pdf).
• "Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global", Mémoires de la Société Mathématique de France, 155, (2017), viii+245 pages, (pdf).
• "A simple proof of Dieudonné-Manin classification theorem" (with Yi Ouyang), Acta Mathematica Sinica, English Series, (2012), vol. 28, issue 8 , p. 1553-1558, (pdf).

Other Writings

"On some partially de Rham Galois representations", 2014, 24 pages, (pdf).