Geometric Analysis and Geometric Topology

[1] Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1804.03011

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[2] A strong stability condition on minimal submanifolds and its implications

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1804.03010

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[3] A volume preserving flow and the isoperimetric problem in warped product spaces

Pengfei Guan McGill University Junfang Li University of Alabama Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Metric Geometry mathscidoc:1804.03009

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[4] Quasi-local mass at the null infinity of the Vaidya spacetime

Mu-Tao Wang Columbia University Po-Ning Chen University of California, Riverside Shing-Tung Yau Harvard University

Geometric Analysis and Geometric Topology Mathematical Physics Publications of CMSA of Harvard Theoretical Physics mathscidoc:1804.15001

Harv. Univ. Cent. Math. Sci. Appl. Ser. Math., 1, 33-48
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[5] Curvature aspects of graphs

F. BAUER Max Planck Institute for Mathematics in the Sciences F. CHUNG University of California, San Diego Yong Lin Renmin University of China Yuan Liu Institute of Computational Mathematics and Scientific/Engineering Computing. Chinese Academy of Sciences

Combinatorics Geometric Analysis and Geometric Topology mathscidoc:1804.06006

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 145, 2033-2042, 2017.1
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[6] Stochastic completeness for graphs with curvature dimension conditions

Bobo Hua Fudan University Yong Lin Renmin University of China

Combinatorics Geometric Analysis and Geometric Topology mathscidoc:1804.06005

Advances in Mathematics, 306, 279-302, 2017.1
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[7] Harnack inequalities for graphs with non-negative Ricci curvature

Fan Chung University of California, SanDiego Yong Lin Renmin University o China S.-T. Yau Harvard University

Combinatorics Geometric Analysis and Geometric Topology mathscidoc:1804.06002

Journal of Mathematical Analysis and Applications, 415, 25-32, 2014.1
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[8] A four-dimensional Neumann ovaloid

Lavi Karp ORT Braude College Erik Lundberg Florida Atlantic University

Analysis of PDEs Geometric Analysis and Geometric Topology Numerical Analysis and Scientific Computing mathscidoc:1803.43015

Arkiv for Matematik, 55, 2017
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[9] Approximations and examples of singular Hermitian metrics on vector bundles

Genki Hosono The University of Tokyo

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43012

Arkiv for Matematik, 55, 2017
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[10] The tempered spectrum of a real spherical space

Friedrich Knop Emmy-Noether Zentrum Bernhard Krotz Universitat Paderborn Henrik Schlichtkrull University of Copenhagen

Algebraic Geometry Algebraic Topology and General Topology Arithmetic Geometry and Commutative Algebra Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43006

Acta Mathematica, 218, (2), 2017
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[11] A hyper-Kahler compactification of the intermediate Jacobian fibration associated with a cubic 4-foldt

Radu Laza Stony Brook University Giulia Sacca Stony Brook University Claire Voisin College de France

Algebraic Geometry Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43002

Acta Mathematica, 218, (1), 2017
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[12] Tits geometry and positive curvature

Fuquan Fang Capital Normal University Karsten Grove University of Notre Dame Gudlaugur Thorbergsson Universitat zu Koln

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43001

Acta Mathematica, 218, (1), 2017
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[13] Four-ball genus bounds and a refinement of the Ozsvath-Szabo tau-invariant

Jen Hom Georgia Tech Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1709.15003

J. Symp. Geom., 14, 305-323, 2016
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[14] Heegaard Floer correction terms and rational genus bounds

Yi Ni Caltech Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1709.15002

Adv. Math., 267, 360-380, 2014
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[15] Cosmetic surgeries on knots in S^3

Yi Ni Caltech Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1709.15001

J. reine angew. Math, 706, 1-17, 2015
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[16] Rigidity of polyhedral surfaces I

Feng Luo Rutgers University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1705.10005

J. Differential Geometry, 96, (2), 241-302, 2014
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[17] Mean Field Equations, Hyperelliptic curves and modular forms II

Chang-Shou Lin National Taiwan University Chin-Lung Wang National Taiwan University

Analysis of PDEs Geometric Analysis and Geometric Topology mathscidoc:1705.03001

The Journal de Ecole polytechnique , 2017.3
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[18] Moran sets and hyperbolic boundaries

Jun Luo Shantou University

Geometric Analysis and Geometric Topology mathscidoc:1702.15003

Annales Academiæ Scientiarum Fennicæ Mathematica, 2013
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[19] 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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[20] Lipschitz equivalence of self-similar sets and hyperbolic boundaries

Jun Luo Shantou University Ka-Sing Lau The Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1702.15001

Advances in Mathematics, 235, 2013
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[21] Semistable modifications of families of curves and compactified Jacobians

Eduardo Esteves Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, Brazil Marco Pacini Instituto de Matemática, Universidade Federal Fluminense Rua Mário Santos Braga

Algebraic Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.01023

Arkiv for Matematik, 54, (1), 55-83, 2014.1
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[22] Exact Lagrangian caps and non-uniruled Lagrangian submanifolds

Georgios Dimitroglou Rizell Département de Mathématiques, Université Paris-Sud

Geometric Analysis and Geometric Topology Symplectic Geometry mathscidoc:1701.15006

Arkiv for Matematik, 53, (1), 37-64, 2013.6
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[23] CR singular images of generic submanifolds under holomorphic maps

Jiří Lebl Department of Mathematics, University of Wisconsin André Minor Department of Mathematics, University of California at San Diego Ravi Shroff Centre for Mathematics and its Applications Mathematical Sciences Institute, Australian National University Duong Son Department of Mathematics, University of California Yuan Zhang Department of Mathematical Sciences, Indiana University-Purdue University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.10015

Arkiv for Matematik, 52, (2), 301-327, 2012.11
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[24] A modification of the Hodge star operator on manifolds with boundary

Ryszard L. Rubinsztein Department of Mathematics, Uppsala University

Geometric Analysis and Geometric Topology Rings and Algebras mathscidoc:1701.15005

Arkiv for Matematik, 52, (2), 355-365, 2012.12
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[25] Proper holomorphic embeddings of finitely connected planar domains into ℂ^{$n$}

Irena Majcen Mathematisches Institut, Alpeneggstrasse 22, Bern, Switzerland

Differential Geometry Geometric Analysis and Geometric Topology Statistics Theory and Methods mathscidoc:1701.10012

Arkiv for Matematik, 51, (2), 329-343, 2012.1
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[26] Möbius homogeneous hypersurfaces with two distinct principal curvatures in$S$^{$n$+1}

Tongzhu Li Department of Mathematics, Beijing Institute of Technology Xiang Ma LMAM, School of Mathematical Sciences, Peking University Changping Wang LMAM, School of Mathematical Sciences, Peking University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.10010

Arkiv for Matematik, 51, (2), 315-328, 2011.4
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[27] $J$-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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[28] Balanced complexes and complexes without large missing faces

Michael Goff Department of Mathematics, University of Washington Steven Klee Department of Mathematics, University of Washington Isabella Novik Department of Mathematics, University of Washington

Geometric Analysis and Geometric Topology Algebraic Topology and General Topology mathscidoc:1701.15003

Arkiv for Matematik, 49, (2), 335-350, 2009.7
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[29] A geometric interpretation of the Schützenberger group of a minimal subshift

Jorge Almeida CMUP, Departamento de Matemática, Faculdade de Ciências, Universidade do Porto Alfredo Costa CMUC, Department of Mathematics, University of Coimbra

Algebraic Geometry Geometric Analysis and Geometric Topology Group Theory and Lie Theory mathscidoc:1701.01011

Arkiv for Matematik, 1-33, 2015.7
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[30] The Hartogs extension theorem for holomorphic vector bundles and sprays

Rafael B. Andrist Fakultät für Mathematik und Naturwissenschaften, Bergische Universität Wuppertal Nikolay Shcherbina Fakultät für Mathematik und Naturwissenschaften, Bergische Universität Wuppertal Erlend F. Wold Matematisk Institutt, Universitet i Oslo

Algebraic Geometry Functional Analysis Geometric Analysis and Geometric Topology mathscidoc:1701.01010

Arkiv for Matematik, 1-21, 2014.12
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[31] Existence and classification of overtwisted contact structures in all dimensions

Matthew Strom Borman Department of Mathematics, Stanford University Yakov Eliashberg Department of Mathematics, Stanford University Emmy Murphy Department of Mathematics, Massachusetts Institute of Technology

Geometric Analysis and Geometric Topology mathscidoc:1701.15002

Acta Mathematica, 215, (2), 281-361, 2014.10
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[32] Stable moduli spaces of high-dimensional manifolds

Søren Galatius Department of Mathematics, Stanford University Oscar Randal-Williams Department of Pure Mathematics and Mathematical Statistics, University of Cambridge

Geometric Analysis and Geometric Topology mathscidoc:1701.15001

Acta Mathematica, 212, (2), 257-377, 2012.9
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[33] The Deligne–Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3

Matt Bainbridge Department of Mathematics, Indiana University Martin Möller Institut für Mathematik, Goethe-Universität Frankfurt

Complex Variables and Complex Analysis Geometric Analysis and Geometric Topology mathscidoc:1701.08002

Acta Mathematica, 208, (1), 1-92, 2009.12
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[34] Compression bounds for Lipschitz maps from the Heisenberg group to$L$_{1}

Jeff Cheeger Courant Institute, New York University Bruce Kleiner Courant Institute, New York University Assaf Naor Courant Institute, New York University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.03006

Acta Mathematica, 207, (2), 291-373, 2009.11
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[35] Volume doubling, Poincar\'{e} inequality and Gaussian heat kernel estimate for non-negatively curved graphs

Paul Horn Denver University Yong Lin Renmin University of China Shuang Liu Renmin University of China Shing-Tung Yau Harvard University

Combinatorics Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10074

Journal für die reine und angewandte Mathematik, 2017.12
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[36] A Minkowski type inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold

Simon Brendle Stanford University Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10034

Communications on Pure and Applied Mathematics , 69, (1), 124-144, 2016.1
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[37] The rest mass of an asymptotically Anti-de Sitter spacetime

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

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10033

2015.9
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[38] 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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[39] Generalized Lagrangian mean curvature flows: the cotangent bundle case

Knut Smoczyk Leibniz Universität Hannover Mao-Pei Tsui The University of Toledo Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10027

2016.4
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[40] The stability of the mean curvature flow in manifolds of special holonomy

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10026

2016.5
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[41] A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime

Simon Brendle Stanford University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10023

Communications in Mathematical Physics, 330, (1), 33–43, 2014.8
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[42] Rigidity of time-flat surfaces in the Minkowski spacetime

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10022

2013.10
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[43] Curvature Decay Estimates of Graphical Mean Curvature Flow in Higher Codimensions

Knut Smoczyk Leibniz Universität Hannover Mao-Pei Tsui University of Toledo Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10018

Transactions of the American Mathematical Society, 2016.1
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[44] Inverse mean curvature flows in the hyperbolic 3-space revisited

Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10016

Calculus of Variations and Partial Differential Equations, 54, (1), 119–126, 2015.9
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[45] Minkowski formulae and Alexandrov theorems in spacetime

Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University Xiangwen Zhang University of California, Irvine

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10014

2014.9
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[46] 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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[47] Lagrangian sections on mirrors of toric Calabi-Yau 3-folds

Kwokwai Chan The Chinese University of Hong Kong Daniel Pomerleano Imperial College London Kazushi Ueda The University of Tokyo

Geometric Analysis and Geometric Topology mathscidoc:1606.15003

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[48] Localized deformation for initial data sets with the dominant energy condition

Justin Corvino Lafayette College Lan-Hsuan Huang University of Connecticut

Geometric Analysis and Geometric Topology mathscidoc:1606.15001

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[49] Local Calabi-Yau manifolds of type \tilde{A} and open Yau-Zaslow formula via SYZ mirror symmetry

Atsushi Kanazawa Harvard University Siu-Cheong Lau Boston University

Geometric Analysis and Geometric Topology mathscidoc:1605.15003

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[50] Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for $\mathbb{P}^1_{a,b,c}$

Cheol-Hyun Cho Seoul National University Hansol Hong The Chinese University of Hong Kong Siu-Cheong Lau Boston University

Geometric Analysis and Geometric Topology mathscidoc:1605.15001

Journal of Differential Geometry
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