Hui Gao

activity

20122026

most citedPacking of spanning mixed arborescences

7 citations · 25 across the 23 of their papers we have counts for

collaborators

23 papers

math.NT2026

de Rham theory and locally analytic vectors

Hui Gao, Gal Porat, Léo Poyeton

Let $K_{\infty} / K$ be a $p$ -adic Lie extension of a $p$ -adic field $K$ . We study the subring of pro-analytic vectors in the de Rham period ring $B_{dR}^{+} (K_{\infty})$ …

math.NT2026

Galois representations over convergent de Rham period ring

Hui Gao, Yupeng Wang

Let $B_{dR}^{+, †} \subset B_{dR}^{+}$ be the ``convergent" de Rham period ring which is the (un-completed) stalk at the de Rham point of…

math.NT2022

Prismatic crystals over the de Rham period sheaf

Hui Gao, Yu Min, Yupeng Wang

Let $O_{K}$ be a mixed characteristic complete discrete valuation ring with perfect residue field. We study $B_{dR}^{+}$ -crystals on the (log-) prismatic site…

math.CO2022

Digraph analogues for the Nine Dragon Tree Conjecture

Hui Gao, Daqing Yang

The fractional arboricity of a digraph $D$ , denoted by $γ (D)$ , is defined as $γ (D) = max_{H \subseteq D, ∣ V (H) ∣ > 1} \frac{∣ A ( H ) ∣}{∣ V ( H ) ∣ - 1}$ . Frank in [Covering branching, Acta S…

math.NT2022

Hodge-Tate prismatic crystals and Sen theory

Hui Gao

Let $K$ be a mixed characteristic complete discrete valuation field with perfect residue field, and let $K_{\infty} / K$ be a Kummer tower extension by adjoining a compatible system of…

math.NT2021

On $p$ -adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case

Hui Gao

Let $K$ be a mixed characteristic complete discrete valuation field with residue field admitting a finite $p$ -basis, and let $G_{K}$ be the Galois group. Inspired by Liu and Zhu's co…

math.NT2020

Integral $p$ -adic Hodge theory in the imperfect residue field case

Hui Gao

Let $K$ be a mixed characteristic complete discrete valuation field with residue field admitting a finite $p$ -basis, and let $G_{K}$ be the Galois group. We first classify semi-stabl…

math.CO2020★ 7 cited

Packing of spanning mixed arborescences

Hui Gao, Daqing Yang

In this paper, we characterize a mixed graph $F$ which contains $k$ edge and arc disjoint spanning mixed arborescences $F_{1}, \dots, F_{k}$ , such that for each $v \in V (F)$ , the…

math.CO2020★ 6 cited

Packing of maximal independent mixed arborescences

Hui Gao, Daqing Yang

Király in [On maximal independent arborescence packing, SIAM J. Discrete. Math. 30 (4) (2016), 2107-2114] solved the following packing problem: Given a digraph $D = (V, A)$ , a matr…

math.CO2019★ 3 cited

Packing branchings under cardinality constraints on their root sets

Hui Gao, Daqing Yang

Edmonds' fundamental theorem on arborescences characterizes the existence of $k$ pairwise arc-disjoint spanning arborescences with prescribed root sets in a digraph. In this paper,…

math.NT2019

Wach models and overconvergence of étale $(φ, Γ)$ -modules

Hui Gao

A classical result of Cherbonnier and Colmez says that all étale $(φ, Γ)$ -modules are overconvergent. In this paper, we give another proof of this fact when the base field $K$ is a…

math.NT2019

Limit of torsion semi-stable Galois representations with unbounded weights

Hui Gao

Let $K$ be a complete discrete valuation field of characteristic $(0, p)$ with perfect residue field, and let $T$ be an integral $Z_{p}$ -representation of $\mathrm{Gal}(\ove…

math.NT2019★ 4 cited

Breuil-Kisin modules and integral $p$ -adic Hodge theory

Hui Gao

We construct a category of Breuil-Kisin $G_{K}$ -modules to classify integral semi-stable Galois representations. Our theory uses Breuil-Kisin modules and Breuil-Kisin-Fargues modules…

math.NT2019

Fontaine-Laffaille modules and strongly divisible modules

Hui Gao

In this note, we study the relation between Fontaine-Laffaille modules and strongly divisible modules, without assuming the main theorem of Fontaine-Laffaille (but we need to assum…

math.NT2018

Locally analytic vectors and overconvergent $(φ, τ)$ -modules

Hui Gao, Léo Poyeton

Let $p$ be a prime, let $K$ be a complete discrete valuation field of characteristic $0$ with a perfect residue field of characteristic $p$ , and let $G_{K}$ be the Galois group. Let…

math.CO2017

Two bounds for generalized $3$ -connectivity of Cartesian product graphs

Hui Gao, Benjian Lv, Kaishun Wang

The generalized $k$ -connectivity $κ_{k} (G)$ of a graph $G$ , which was introduced by Chartrand et al.(1984) is a generalization of the concept of vertex connectivity. Let $G$ and $H…

math.NT2016

Loose crystalline lifts and overconvergence of étale $(φ, τ)$ -modules

Hui Gao, Tong Liu

Let $p$ be a prime, $K$ a finite extension of $Q_{p}$ , and let $G_{K}$ be the absolute Galois group of $K$ . The category of étale $(φ, τ)$ -modules is equivalent to the category…

math.NT2015

Adapted bases of Kisin modules and Serre weights

Hui Gao

Let $p > 2$ be a prime. Let $K$ be a tamely ramified finite extension over $Q_{p}$ with ramification index $e$ , and let $G_{K}$ be the Galois group. We study Kisin modules attach…

math.NT2015★ 1 cited

A note on crystalline liftings in the $Q_{p}$ case

Hui Gao

Let $p > 2$ be a prime. Let $ρ$ be a crystalline representation of $G_{Q_{p}}$ with distinct Hodge-Tate weights in $[0, p]$ , such that its reduction $ρ$ is upper tri…

math.NT2015★ 1 cited

Crystalline liftings and weight part of Serre's conjecture

Hui Gao

We prove some new cases of weight part of Serre's conjectures for mod $p$ Galois representations associated to automorphic representations on unitary groups $U (d)$ . The approach is…

math.NT2014

A note on torsion Breuil modules in the case er=p-1

Hui Gao

In this note, we prove that the category of unipotent torsion Breuil modules is an abelian category, under the condition $er = p - 1, r < p - 1.$

math.NT2013★ 1 cited

Galois Lattices and Strongly Divisible Lattices in the Unipotent Case

Hui Gao

Let p be a prime. We prove that there is an anti-equivalence between the category of unipotent strongly divisible lattices of weight p-1 and the category of Galois stable Z_p latti…

math.NT2012★ 2 cited

A Note on Potential Diagonalizability of Crystalline Representations

Hui Gao, Tong Liu

Let K_0 be a finite unramified extension of Q_p. We show that all crystalline representations of G_{K_0} (the absolute Galois group of K_0) with Hodge-Tate weights in {0, ..., p-1}…

de Rham theory and locally analytic vectors

Galois representations over convergent de Rham period ring

Prismatic crystals over the de Rham period sheaf

Digraph analogues for the Nine Dragon Tree Conjecture

Hodge-Tate prismatic crystals and Sen theory

On p-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case

Integral p-adic Hodge theory in the imperfect residue field case

Packing of spanning mixed arborescences

Packing of maximal independent mixed arborescences

Packing branchings under cardinality constraints on their root sets

Wach models and overconvergence of étale (φ,Γ)-modules

Limit of torsion semi-stable Galois representations with unbounded weights

Breuil-Kisin modules and integral p-adic Hodge theory

Fontaine-Laffaille modules and strongly divisible modules

Locally analytic vectors and overconvergent (φ,τ)-modules

Two bounds for generalized 3-connectivity of Cartesian product graphs

Loose crystalline lifts and overconvergence of étale (φ,τ)-modules

Adapted bases of Kisin modules and Serre weights

A note on crystalline liftings in the Qp​ case

Crystalline liftings and weight part of Serre's conjecture

A note on torsion Breuil modules in the case er=p-1

Galois Lattices and Strongly Divisible Lattices in the Unipotent Case

A Note on Potential Diagonalizability of Crystalline Representations

On $p$ -adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case

Integral $p$ -adic Hodge theory in the imperfect residue field case

Wach models and overconvergence of étale $(φ, Γ)$ -modules

Breuil-Kisin modules and integral $p$ -adic Hodge theory

Locally analytic vectors and overconvergent $(φ, τ)$ -modules

Two bounds for generalized $3$ -connectivity of Cartesian product graphs

Loose crystalline lifts and overconvergence of étale $(φ, τ)$ -modules

A note on crystalline liftings in the $Q_{p}$ case