Geometric Analysis and Geometric Topology

[101] $(1,1)$ forms with specified Lagrangian phase: A priori estimates and algebraic obstructions

Tristan C. Collins Massachusetts Institute of Technology Adam Jacob University of California, Davis Shing-Tung Yau Harvard University

Geometric Analysis and Geometric Topology mathscidoc:2005.15002

Gold Award Paper in 2020

Cambridge Journal of Mathematics, (2), 407-452, 2020
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[102] A maximum principle for free boundary minimal varieties of arbitrary codimension

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10004

arXiv preprint arXiv:1708.05001, 2017.5
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[103] $J$-embeddable reducible surfaces

Alberto Alzati Dipartimento di Matematica, Università di Milano Edoardo Ballico Dipartimento di Matematica, Università di Trento

Geometric Analysis and Geometric Topology mathscidoc:1701.15004

Arkiv for Matematik, 49, (2), 199-215, 2009.8
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[104] Evaluating small sphere limit of the Wang-Yau quasi-local energy

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10032

2015.10
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[105] Semi-continuity of skeletons in 2-manifold and discrete Voronoi approximation

Yong-Jin Liu Tsinghua University

Computational Geometry Geometric Analysis and Geometric Topology Geometric Modeling and Processing mathscidoc:1608.09003

IEEE Transactions on Pattern Analysis and Machine Intelligence, 37, (9), 1938-1944, 2015.9
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[106] Existence of Self-similar Solutions to the Anisotropic Affine Curve-shortening Flow

Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43010

International Mathematics Research Notices, 2018.11
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[107] Lipschitz equivalence of self-similar sets and hyperbolic boundaries II

Guo-Tai Deng Hua Zhong Normal University Ka-Sing Lau The Chinese University of Hong Kong Jun Luo Chongqing University

Geometric Analysis and Geometric Topology mathscidoc:1702.15002

Journal of Fractal Geometry, 2015
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[108] A generalized rotationally symmetric case of the centroaffine Minkowski problem

Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43006

Journal of Differential Equations, 264, (9), 5838-5869, 2018.5
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[109] Non-existence of geometric minimal foliations in hyperbolic three-manifolds

Wolf Michael Rice University Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1909.43004

Commentarii Mathematici Helvetici, 2019
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[110] A general existence theorem of embedded minimal surfaces with free boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10002

Communications on Pure and Applied Mathematics, 68, (2), 286-331, 2015.2
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[111] Uniform manin-mumford for a family of genus 2 curves

LAURA DEMARCO Northwestern University, Evanston, IL, USA HOLLY KRIEGER University of Cambridge, Cambridge, UK HEXI YE Zhejiang University, Hangzhou, China

Geometric Analysis and Geometric Topology mathscidoc:2105.15002

2019.2
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[112] Martin boundary covers Floyd boundary

Ilya Gekhtman Department of Mathematics, Technion-Israeli Institute of Technology, 32000 Haifa, Israel Victor Gerasimov Departamento de Matemática, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Caixa Postal 702, 30161-970 Brasil Leonid Potyagailo UFR de Mathématiques, Université de Lille, 59655 Villeneuve d’Ascq, France Wenyuan Yang Beijing International Center for Mathematical Research, Peking University, Beijing 100871, China

Dynamical Systems Geometric Analysis and Geometric Topology Group Theory and Lie Theory Probability mathscidoc:2203.11005

Inventiones Mathematicae, 223, 759-809, 2021.1
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[113] Monodromy groups of projective structures on punctured surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43797

Inventiones mathematicae, 111, (1), 541-555, 1993.12
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[114] Curvature estimates for stable free boundary minimal hypersurfaces

Qiang Guang University of California Santa Barbara Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10003

Journal für die reine und angewandte Mathematik, 2018.5
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[115] The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

Francesco Lin Michael Lipnowski

Differential Geometry Geometric Analysis and Geometric Topology Number Theory mathscidoc:2203.10007

Journal of the Americal Mathematical Society, 35, (1), 233-293, 2022.1
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[116] Torsion elements in the mapping class group of a surface

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43794

arXiv preprint math/0004048, 2000.4
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[117] Invariant metrics on negatively pinched complete kahler manifolds

DAMIN WU University of Connecticut SHING-TUNG YAU Harvard University

Geometric Analysis and Geometric Topology mathscidoc:2105.15003

2019.5
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[118] McShane identities for quasifuchsian representations of nonorientable surfaces

Yi Huang YMSC, Tsinghua University

Differential Geometry Geometric Analysis and Geometric Topology arXiv subject: Geometric Topology (math.GT) arXiv subject: Differential Geometry (math.DG) mathscidoc:2206.10001

International Mathematics Research Notices, 2021, (3), 1760-1808, 2021.2
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[119] A Monge-Ampere-type equation motivated by string theory

Ji-Xiang Fu Shing-Tung Yau

Geometric Analysis and Geometric Topology mathscidoc:1912.43547

Communications in Analysis and Geometry, 15, (1), 29-76, 2007.1
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[120] Nonexistence of maximizers for the functional of the centroaffine Minkowski problem

Jian Lu

Geometric Analysis and Geometric Topology mathscidoc:1910.43007

Science China Mathematics, 61, (3), 511-516, 2018.3
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[121] Local Curvature Estimates of Long-Time Solutions to the Kahler-Ricci Flow

Frederick Tsz-Ho Fong Hong Kong University of Science and Technology Yashan Zhang Hunan University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2011.10001

Advances in Mathematics, 375, 107416, 2020.12
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[122] Simple geodesics and Markoff quads

Yi Huang Tsinghua University Paul Norbury University of Melbourne

Geometric Analysis and Geometric Topology Representation Theory arXiv subject: Geometric Topology (math.GT) mathscidoc:2206.15001

Geometriae Dedicata, 186, 113-148, 2016.8
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[123] Uniform Bounds for Weil-Petersson Curvatures

Michael Wolf Rice University Yunhui Wu Tsinghua University

Geometric Analysis and Geometric Topology mathscidoc:1904.15003

Proceedings of the London Mathematical Society, 117, (5), 1041–1076, 2018
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[124] Moment maps, nonlinear PDE and stability in Mirror Symmetry, I: Geodesics

Tristan C. Collins MIT Shing-Tung Yau Harvard

Geometric Analysis and Geometric Topology mathscidoc:2105.15001

Ann. PDE, 2021.3
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[125] Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space

Yi Huang YMSC, Tsinghua University Athanase Papadopoulos IRMA, University of Strasbourg

Geometric Analysis and Geometric Topology arXiv subject: Geometric Topology (math.GT) mathscidoc:2206.15002

Geometriae Dedicata, 214, 465-488, 2021.4
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