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. Algorithmic universal etale (phi,Gamma)-modules (pdf)
    We write down explicit equations for universal families of etale (phi,Gamma)-modules and prove the existence of crystalline lifts for F4.
  2. 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
  3. 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.
  4. (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.
  5. 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.
  6. 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.
  7. 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.