Zhongyipan Lin 
Hi!
I am a Boas Assistant Professor at Northwestern University.
I am teaching differential calculus and elementary differential equations in Fall Quarter 2022.
I am interested in number theory and related topics.
I just graduated from Johns Hopkins University.
My PhD advisor is David Savitt.


Submitted 

A DeligneLusztig type correspondence for tame padic groups (49 pages, updated on 10/10/2023, arXiv:2306.02093)
We formulate a generalization of the explicit Serre weight conjectures for quasisplit tame groups.

Heisenberg varieties and the existence of de Rham lifts (33 pages, pdf)
We show the existence of de Rham lifts for mod p Lparameters for unitary groups.

The EmertonGee stacks for tame groups (66 pages, pdf)
We construct the EmertonGee stack for tamely ramified groups.

LyndonDemushkin method and crystalline lifts of G_{2}valued Galois representations
(updated on 12/26/2023, arXiv:2011.08773)
We develop the obstruction theory for lifting characteristic p Galois representations valued in reductive groups of type B_{l}, C_{l}, D_{l} and G_{2}.
As an application, we show when all p > 3, all G_{2}valued characteristic p Galois representations admit a crystalline lift.

Drafts (to be expanded) 

The EmertonGee stacks for tame groups, II (37 pages, pdf)
We construct the moduli of potentially semistable Galois representations valued in tame padic groups and classify the irreducible components of the reduced EmertonGee stacks for classical groups, subject to numerical conditions which we have verified for unitary groups in the "Heisenberg variety" paper.

Extension of Crystalline representations valued in general reductive groups.
(pdf)
We show extensions of crystalline representations valued in general reductive groups are crystalline, assuming some HodgeTate weights of a certain adjoint representation is slightly less than 0.

Publications 

Crystalline lifts and a variant of the SteinbergWinter 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 Borelde Siebenthal case over arbitrary fields.
As an application, all semisimple (local) Galois representations valued in general reductive groups admit crystalline lifts.

Some code for symbolic computation

 Explicit presentation for G2, code

My boy (1yr)

