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个人简介

My name is Yi Huang. I'm an assistant professor at the Yau Mathematical Sciences Center based at Tsinghua University (Beijing). I received my PhD from the University of Melbourne (17th of December 2014) under the supervision of Prof. Paul Norbury. I am a geometer/geometric topologist, and much of my work involves using the geometry of hyperbolic surfaces to study Teichmüller and moduli space theory. Education, fellowship and work history Assistant Professor, Yau Mathematical Sciences Center, Tsinghua University, Sep, 2019 – present Postdoctoral fellow, Yau Mathematical Sciences Center, Tsinghua University, Dec 01, 2015 – Dec 31, 2018 AK Head Mathematical Scientists Travelling Scholar, University of Grenoble, University of Strasbourg, Yale University, University of Illinois at Chicago and Western Illinois University, Jun 14 – Aug 1, 2015 Australian Mathematical Society Lift-off Travelling fellow, National University of Singapore and Osaka University, Jan 19 – Feb 27, 2015 Ph.D. in Mathematics (supervisor: Paul Norbury), University of Melbourne, Mar, 2009 – Dec 17, 2014 BSc. (Honours) in Pure Mathematics (Honours supervisor: Paul Norbury), University of Melbourne, Feb, 2005 – Dec, 2008

研究领域

我研究低维拓扑、泰希米勒理论,但我的专长是双曲三角函数

近期论文

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Joint with Ken’ichi Ohshika and Athanase Papadopoulos, The infinitesimal and global Thurston geometry of Teichmüller space, ArXiv preprint (submitted to the Journal of Differential Geometry), 2021. McShane-type Identities for Quasifuchsian Representations of Nonorientable Surfaces, International Mathematics Research Notices, volume 2021 (3), 2021. Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space, Geometriae Dedicata, volume 214, 2021 Joint with Bob Penner and Anton Zeitlin, Super McShane identity, accepted by the Journal of Differential Geometry, 2019. Joint with Zhe Sun, McShane identities for higher Teichmüller theory and the Goncharov-Shen potential, accepted by the Memoirs of the American Mathematical Society, 2019. McShane identities for convex projective surfaces and beyond, Oberwolfach Report, 2018. Joint with Paul Norbury, Simple geodesics and Markoff quads, Geometriae Dedicata, volume 186 (1), 2017. Mirzakhani’s recursion formula on Weil-Petersson volume and applications, Handbook of Teichmüller theory, Vol. VI, 2016. Moduli Spaces of Surfaces, Bulletin of the Australian Mathematical Society, volume 92 (1), 2015. A McShane-type identity for closed surfaces, Nagoya Mathematical Journal, volume 219, 2015.

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