研究领域

I pretend to be a low-dimension geometric topologist/Teichmüller theorist when all I really know is a tiny bit of hyperbolic trigonometry...

我算是个假低维拓扑、泰希米勒理论专家吧,其实我只懂一些双曲三角函数...


教育背景

Obtained a PhD in 2014 from the University of Melbourne under the tutelage of Paul Norbury.

2014年从墨尔本大学博士毕业,导师是Paul Norbury教授。

工作经历

Postdoc at the YMSC between Dec 2015 and Dec 2018.

从2015年12月-2018年12月在丘成桐数学科学中心当过博士后。

发表论文

[1] Super McShane identity, accepted by the Journal of Differential Geometry (to appear);

[2] McShane identities for higher Teichmüller theory and the Goncharov-Shen potential, accepted by the Memoirs of the American Mathematical Society (to appear);

[3] Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space, Geometriae Dedicata, volume 214, 2021;

[4] McShane-Type Identities for Quasifuchsian Representations of Nonorientable Surfaces, International Mathematical Research Notices, volume 2021 (3) 2021;

[5] McShane identities for convex projective surfaces and beyond, Oberwolfach Report, 2018;

[6] Joint with Paul Norbury, Simple geodesics and Markoff quads, Geometriae Dedicata, volume 186 (1), 2017;

[7] Mirzakhani's recursion formula on Weil-Petersson volume and applications, Handbook of Teichmüller theory, Vol. VI, 2016;

[8] Moduli Spaces of Surfaces, Bulletin of the Australian Mathematical Society, volume 92 (1), 2015;

[9] A McShane-type identity for closed surfaces, Nagoya Mathematical Journal, volume 219, 2015.