Zhichao Wang

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All published works

Action	Title	Year	Authors
+ PDF Chat	Min-max minimal hypersurfaces with higher multiplicity	2025	Zhichao Wang Xin Zhou
+	Morse Theory for Minimal Hypersurfaces and the Multiplicity One Conjecture	2024	Zhichao Wang Xin Zhou
+	Free Boundary Minimal Hypersurfaces with Least Area	2024	Qiang Guang Zhichao Wang Xin Zhou
+ PDF Chat	Scalar-mean rigidity theorem for compact manifolds with boundary	2024	Jinmin Wang Zhichao Wang Bo Zhu
+ PDF Chat	Existence of embedded minimal tori in three-spheres with positive Ricci curvature	2024	Xingzhe Li Zhichao Wang
+	Free Boundary Minimal Hypersurfaces with Least Area	2024	Qiang Guang Zhichao Wang Xin Zhou
+	Morse Theory for Minimal Hypersurfaces and the Multiplicity One Conjecture	2024	Zhichao Wang Xin Zhou
+ PDF Chat	Deformed semicircle law and concentration of nonlinear random matrices for ultra-wide neural networks	2024	Zhichao Wang Yizhe Zhu
+	Multiplicity one for min–max theory in compact manifolds with boundary and its applications	2024	Ao Sun Zhichao Wang Xin Zhou
+ PDF Chat	Existence of infinitely many free boundary minimal hypersurfaces	2024	Zhichao Wang
+ PDF Chat	Variable Selection for Sparse Logistic Regression with Grouped Variables	2023	Mingrui Zhong Zanhua Yin Zhichao Wang
+	Variable Selection for Sparse Logistic Regression with Grouped Variables	2023	Mingrui Zhong Zanhua Yin Zhichao Wang
+ PDF Chat	Uryson width of three dimensional mean convex domain with non-negative Ricci curvature	2023	Zhichao Wang Bo Zhu
+	Existence of four minimal spheres in $S^3$ with a bumpy metric	2023	Zhichao Wang Xin Zhou
+	On the waist and width inequality in complete 3-manifolds with positive scalar curvature	2023	Yevgeny Liokumovich Zhichao Wang
+ PDF Chat	Free boundary minimal hypersurfaces with least area	2023	Qiang Guang Zhichao Wang Xin Zhou
+ PDF Chat	Deep treatment-adaptive network for causal inference	2022	Qian Li Zhichao Wang Shaowu Liu Gang Li Guandong Xu
+ PDF Chat	Existence of minimal hypersurfaces with non-empty free Boundary for generic metrics	2022	Zhichao Wang
+	Min-max minimal hypersurfaces with higher multiplicity	2022	Zhichao Wang Xin Zhou
+	Convergence of a Tangent Space Numerical Scheme for a Stochastic Differential Equation on a Sphere	2021	Victor Solo Zhichao Wang
+ PDF Chat	Causal Optimal Transport for Treatment Effect Estimation	2021	Qian Li Zhichao Wang Shaowu Liu Gang Li Guandong Xu
+	Risk spillover network structure learning for correlated financial assets: A directed acyclic graph approach	2021	Xiaokang Wang Huiwen Wang Zhichao Wang Shan Lu Ying Fan
+ PDF Chat	Conformal upper bounds for the volume spectrum	2021	Zhichao Wang
+ PDF Chat	Principal components in linear mixed models with general bulk	2021	Zhou Fan Yi Sun Zhichao Wang
+ PDF Chat	Compactness and generic finiteness for free boundary minimal hypersurfaces, I	2021	Qiang Guang Zhichao Wang Xin Zhou
+	Conformal upper bounds for the volume spectrum	2021	Zhichao Wang
+	Tree convolution for probability distributions with unbounded support	2021	Ethan Davis David Jekel Zhichao Wang
+	Uryson width of three dimensional mean convex domain with non-negative Ricci curvature	2021	Zhichao Wang Bo Zhu
+	Particle Filtering on the Stiefel Manifold with Optimal Transport	2020	Zhichao Wang Victor Solo
+ PDF Chat	Min–max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications	2020	Qiang Guang Martin Man‐chun Li Zhichao Wang Xin Zhou
+	Compactness of self-shrinkers in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>with fixed genus	2020	Ao Sun Zhichao Wang
+	Existence of infinitely many free boundary minimal hypersurfaces	2020	Zhichao Wang
+	Multiplicity one for min-max theory in compact manifolds with boundary and its applications	2020	Ao Sun Zhichao Wang Xin Zhou
+	Principal components in linear mixed models with general bulk	2019	Zhou Fan Yi Sun Zhichao Wang
+	Min-max theory for free boundary minimal hypersurfaces II -- General Morse index bounds and applications	2019	Qiang Guang Martin Man‐chun Li Zhichao Wang Xin Zhou
+	Existence of minimal hypersurfaces with non-empty free boundary for generic metrics	2019	Zhichao Wang
+	Compactness and generic finiteness for free boundary minimal hypersurfaces (II)	2019	Zhichao Wang
+	Min–max minimal hypersurface in manifolds with convex boundary and $${\hbox {Ric}}\ge 0$$ Ric ≥ 0	2018	Zhichao Wang
+	Free boundary minimal hypersurfaces with least area	2018	Qiang Guang Zhichao Wang Xin Zhou
+	Higher variations for free Lévy processes	2018	Michael Anshelevich Zhichao Wang
+	Min-max minimal hypersurface in manifolds with convex boundary and $Ric\geq 0$	2017	Zhichao Wang

Common Coauthors

Coauthor	Papers Together
Xin Zhou	10
Qiang Guang	7
Ao Sun	3
Zanhua Yin	2
Xin Zhou	2
Bo Zhu	2
Shaowu Liu	2
Martin Man‐chun Li	2
Mingrui Zhong	2
Zhou Fan	2
Guandong Xu	2
Victor Solo	2
Qian Li	2
Xin Zhou	2
Gang Li	2
Yi Sun	2
Yizhe Zhu	1
Jinmin Wang	1
Bo Zhu	1
Yevgeny Liokumovich	1
Huiwen Wang	1
Ethan Davis	1
Michael Anshelevich	1
Ying Fan	1
Xiaokang Wang	1
David Jekel	1
Shan Lu	1
Xingzhe Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The homotopy groups of the integral cycle groups	1962	Frederick J. Almgren	11
+	Regularity of stable minimal hypersurfaces	1981	Richard Schoen Leon Simon	10
+ PDF Chat	Compactness analysis for free boundary minimal hypersurfaces	2017	Lucas Ambrozio Alessandro Carlotto Ben Sharp	10
+ PDF Chat	Morse index and multiplicity of min-max minimal hypersurfaces	2016	Fernando C. Marques André Neves	9
+ PDF Chat	Curvature estimates for stable free boundary minimal hypersurfaces	2018	Qiang Guang Martin Man‐chun Li Xin Zhou	9
+ PDF Chat	Weyl law for the volume spectrum	2018	Yevgeny Liokumovich Fernando C. Marques André Neves	8
+ PDF Chat	On the Multiplicity One Conjecture in min-max theory	2020	Xin Zhou	8
+ PDF Chat	Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary	2014	Ailana Fraser Martin Man‐chun Li	8
+ PDF Chat	Density of minimal hypersurfaces for generic metrics	2018	Kei Irie Fernando C. Marques André Neves	8
+ PDF Chat	Min-max theory for free boundary minimal hypersurfaces, I: Regularity theory	2021	Martin Man‐chun Li Xin Zhou	8
+ PDF Chat	Equidistribution of minimal hypersurfaces for generic metrics	2019	Fernando C. Marques André Neves Antoine Song	8
+ PDF Chat	Min–max hypersurface in manifold of positive Ricci curvature	2017	Xin Zhou	7
+ PDF Chat	Existence and regularity of minimal surfaces on Riemannian manifolds	1976	Jon T. Pitts	7
+ PDF Chat	Regularity of isoperimetric hypersurfaces in Riemannian manifolds	2003	Frank Morgan	6
+ PDF Chat	On the bumpy metrics theorem for minimal submanifolds	2017	Brian White	6
+	On the free boundary variational problem for minimal disks	2000	Ailana Fraser	6
+ PDF Chat	Existence of infinitely many minimal hypersurfaces in positive Ricci curvature	2017	Fernando C. Marques André Neves	6
+ PDF Chat	Compactness and generic finiteness for free boundary minimal hypersurfaces, I	2021	Qiang Guang Zhichao Wang Xin Zhou	6
+ PDF Chat	Minimax Problems Related to Cup Powers and Steenrod Squares	2009	Larry Guth	6
+ PDF Chat	The Min-Max theory and the Willmore conjecture	2014	Fernando C. Marques André Neves	6
+ PDF Chat	Minimal surfaces and the Allen--Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates	2019	Otis Chodosh Christos Mantoulidis	5
+ PDF Chat	Rigidity of min-max minimal spheres in three-manifolds	2012	Fernando C. Marques André Neves	5
+ PDF Chat	Min–max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications	2020	Qiang Guang Martin Man‐chun Li Zhichao Wang Xin Zhou	5
+	Existence of infinitely many minimal hypersurfaces in closed manifolds	2018	Antoine Song	5
+ PDF Chat	Min–max theory for constant mean curvature hypersurfaces	2019	Xin Zhou Jonathan J. Zhu	5
+	Optimal regularity for codimension one minimal surfaces with a free boundary	1987	Michael Gr�ter	5
+ PDF Chat	Compactness of minimal hypersurfaces with bounded index	2017	Ben Sharp	5
+	Min-max theory for free boundary minimal hypersurfaces I - regularity theory	2016	Martin Li Xin Zhou	5
+	Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals	1987	Brian White	4
+ PDF Chat	Sweeping Out 3-Manifold of Positive Ricci Curvature by Short 1-Cycles Via Estimates of Min–Max Surfaces	2016	Yevgeny Liokumovich Xin Zhou	4
+ PDF Chat	Min-max theory for minimal hypersurfaces with boundary	2018	Camillo De Lellis Jusuf Ramic	4
+ PDF Chat	The maximum principle for minimal varieties of arbitrary codimension	2010	Brian White	4
+ PDF Chat	Free boundary minimal annuli in convex three-manifolds	2017	Davi Máximo Ivaldo Nunes Graham Smith	4
+	Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk	2017	Nikolaos Kapouleas Martin Man‐chun Li	4
+ PDF Chat	Isoperimetry of waists and concentration of maps	2003	M. Gromov	4
+	Lectures on the Combinatorics of Free Probability	2006	Alexandru Nica Roland Speicher	3
+ PDF Chat	Min-max minimal disks with free boundary in Riemannian manifolds	2020	Longzhi Lin Ao Sun Xin Zhou	3
+ PDF Chat	Sharp eigenvalue bounds and minimal surfaces in the ball	2015	Ailana Fraser Richard Schoen	3
+	Min-max theory for free boundary minimal hypersurfaces II -- General Morse index bounds and applications	2019	Qiang Guang Martin Man‐chun Li Zhichao Wang Xin Zhou	3
+ PDF Chat	Mean curvature self-shrinkers of high genus: Non-compact examples	2015	Nikolaos Kapouleas Stephen J. Kleene Niels Martin Møller	3
+ PDF Chat	A sharp lower bound for the entropy of closed hypersurfaces up to dimension six	2016	Jacob Bernstein Lu Wang	3
+ PDF Chat	A regularity theorem for minimizing hypersurfaces modulo 𝜈	1986	Frank Morgan	3
+ PDF Chat	Entropy of closed surfaces and min-max theory	2018	Daniel Ketover Xin Zhou	3
+	Morse index of multiplicity one min-max minimal hypersurfaces	2015	Fernando C. Marques André Neves	3
+	Conformal upper bounds for the eigenvalues of the Laplacian and Steklov problem	2011	Asma Hassannezhad	2
+ PDF Chat	Positive scalar curvature and the Dirac operator on complete riemannian manifolds	1983	Mikhael Gromov H. Blaine Lawson	2
+ PDF Chat	The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected	2004	Tobias Colding William P. Minicozzi	2
+	Bayesian Nonparametric Modeling for Causal Inference	2010	Jennifer Hill	2
+ PDF Chat	The norm of polynomials in large random and deterministic matrices	2011	Camille Male	2
+ PDF Chat	Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices	2005	Jinho Baik Gérard Ben Arous Sandrine Péché	2