Zhongyipan Lin

Hi! I am an Assistant Professor at Tongji University. Before that, I was a Boas Assistant Professor at Northwestern University working under Bao Le Hung. Before that, I obtained PhD under the supervision of David Savitt. My research field is number theory. Contact me at zhong_lin at tongji dot edu dot cn.

Preprints

  1. De Rham extensions of Galois representations (pdf)
    We construct the (parabolic) moduli of de Rham Galois representations valued in tame p-adic groups. Then we relate Borel-valued Weil-Deligne moduli to reduced Emerton-Gee stacks
  2. The topological Breuil-Mezard conjecture for classical groups (arXiv:2508.19722)
    We establish the topological Breuil-Mezard conjecture (the original version proposed in Emerton-Gee's book) for unitary, symplectic and orthogonal groups.
  3. (w/ Bao Le Hung) Generic tame potential crystalline stacks for unramified group (appendix to arXiv:2310.07006)
    We develop Galois local model theory for unramified groups.
  4. Heisenberg varieties and the existence of de Rham lifts (arXiv:2309.00761)
    We establish the existence of de Rham lifts for mod p L-parameters for unitary, symplectic and orthogonal groups.
  5. A Deligne-Lusztig type correspondence for tame p-adic groups (arXiv:2306.02093)
    We formulate a generalization of the explicit Serre weight conjectures for quasi-split tame groups.
  6. The Emerton-Gee stacks for tame groups (arXiv:2304.05317)
    We construct the Emerton-Gee stack for tamely ramified groups.

Publications

  1. Lyndon-Demushkin method and crystalline lifts of G2-valued Galois representations (ANT 2025, arXiv:2011.08773)
    We show when all p > 3, all G2-valued characteristic p Galois representations admit a crystalline lift.
  2. Crystalline lifts and a variant of the Steinberg-Winter theorem (Doc. Math. 2022, arXiv:2011.08766)
    We propose a necessary and sufficient condition for an automorphism of a reductive group to have a fixed maximal torus. We prove it in the Borel-de Siebenthal case over arbitrary fields.
    As an application, all semi-simple (local) Galois representations valued in general reductive groups admit crystalline lifts.