I am a faculty member at Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences.
Email: hongjie.yu@amss.ac.cn
Research Interests: Number theory, representation theory and arithmetic geometry. I am particularly interested in the mathematical objects studied in the Langlands program.
Articles:
ℓ-adic local systems and Higgs bundles: the generic case, 40 pages, 2023, preprint, [arXiv]
Rank 2 ℓ-adic local systems and Higgs bundles over a curve, 54 pages, 2023, preprint, [arXiv]
Number of cuspidal automorphic representations and Hitchin's moduli spaces, 54 pages, 2021, preprint, [arXiv]
A coarse geometric expansion of a variant of Arthur's truncated traces and some applications, Pac. J. Math. 321-1 (2022), 193-237, [journal][arXiv]
Comptage des systèmes locaux ℓ-adiques sur une courbe, Ann. of Math. (2) 197 (2023), no. 2, 423-531, [journal][arXiv]
Le nombre des systèmes locaux ℓ-adiques sur une courbe, C. R. Math. Acad. Sci. Paris 356 (2018), no. 11-12, 1085-1089, [journal]