Research Area
I am a low-dimension geometric topologist/Teichmüller theorist whose main expertise is in hyperbolic trigonometry.
Education:
Obtained a PhD in 2014 from the University of Melbourne under the tutelage of Paul Norbury.
Work:
Currently an assistance professor at the Yau Mathematical Sciences Center.
Postdoc at the Yau Mathematical Sciences Center between Dec 2015 and Dec 2018.
Publications:
[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.
