Geometric Analysis and Geometric Topology

[1] Heat kernels and non-local Dirichlet forms on ultrametric spaces

Alexander Bendikov Wroclaw University, Poland Alexander Grigor'yan Bielefeld University, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2011.15002

2019
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[2] The pointwise existence and properties of heat kernel

Alexander Grigor'yan Bielefeld University, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2011.15001

2020
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[3] 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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[4] Intersection of almost complex submanifolds

Weiyi Zhang University of Warwick

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2005.08001

Distinguished Paper Award in 2020

Cambridge Journal of Mathematics, 6, (4), 451-496, 2018
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[5] $(1,1)$ 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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[6] Moment maps, nonlinear PDE, and stability in Mirror Symmetry

Tristan C. Collins Massachusetts Institute of Technology Shing-Tung Yau Harvard University

Geometric Analysis and Geometric Topology mathscidoc:2005.15001

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[7] Free boundary minimal surfaces in the unit ball : recent advances and open questions

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10006

arXiv preprint arXiv:1907.05053, 2019.7
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[8] Min-max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications

Qiang Guang Australian National University Martin Man-chun Li Chinese University of Hong Kong Zhichao Wang Max-Planck Institute for Mathematics Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10005

arXiv preprint arXiv:1907.12064, 2019.7
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[9] 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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[10] 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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[11] 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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[12] Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

Martin Man-chun Li Chinese University of Hong Kong Ailana Fraser University of British Columbia

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10001

Journal of Differential Geometry, 96, (2), 183-200, 2014
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[13] Products of Positive Dehn-twists on Surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43830

arXiv preprint math/9905139
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[14] On a Conjecture of Milnor about Volume of Simplexes

Ren Guo Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43827

122-137, 2008
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[15] Triangulated 3-Manifolds: Combinatorics and Volume Optimisation

Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43825

arXiv preprint arXiv:1312.5087, 2013.12
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[16] Heegaard diagrams and handlebody groups

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43824

Topology and its Applications, 129, (2), 111-127, 2003.3
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[17] Measured lamination spaces on surfaces and geometric intersection numbers

Feng Luo Richard Stong

Geometric Analysis and Geometric Topology mathscidoc:1912.43823

Topology and its Applications, 136, 205-217, 2004.1
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[18] A note on complete hyperbolic structures on ideal triangulated 3-manifolds

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43820

Contemporary Mathematics, 560, 19-26, 2011
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[19] Volume maximization and the extended hyperbolic space

Feng Luo Jean-Marc Schlenker

Geometric Analysis and Geometric Topology mathscidoc:1912.43819

Proceedings of the American Mathematical Society, 140, (3), 1053-1068, 2012
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[20] A new combinatorial class of 3-manifold triangulations

Feng Luo Stephan Tillmann

Geometric Analysis and Geometric Topology mathscidoc:1912.43818

arXiv preprint arXiv:1312.5087, 2013.12
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[21] Conformal embedding of a disc with a Lorentz metric into the plane

Feng Luo Richard Stong

Geometric Analysis and Geometric Topology mathscidoc:1912.43816

Mathematische Annalen, 309, (3), 359-373, 1997.11
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[22] Automorphisms of Thurston's space of measured laminations

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43815

arXiv preprint math/9905140, 1999.5
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[23] Computing fundamental group of general 3-manifold

Junho Kim Miao Jin Qian-Yi Zhou Feng Luo Xianfeng Gu

Geometric Analysis and Geometric Topology mathscidoc:1912.43814

965-974, 2008.12
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[24] Triangulated 3-Manifolds: from Hakens normal surfaces to Thurstons algebraic equation

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43813

Interactions between hyperbolic geometry, quantum topology and number theory, Contemp. Math, 541, 183-204
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[25] Cell decompositions of Teichmller spaces of surfaces with boundary

Ren Guo Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43812

Pacific journal of mathematics, 253, (2), 423-438, 2012.1
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