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.
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Preprints |
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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
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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.
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(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.
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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.
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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.
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The Emerton-Gee stacks for tame groups (arXiv:2304.05317)
We construct the Emerton-Gee stack for tamely ramified groups.
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Publications |
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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.
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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.
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