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 Assistant Professor at the Yau Mathematical Sciences Center.

Postdoc at the Yau Mathematical Sciences Center between Dec 2015 and Dec 2018.


Publications:


[1] with Ken'ichi Oshika and Athanase Papadopoulos, The infinitesimal and global Thurston geometry of Teichmüller space, accepted (2024) by the Journal of Differential Geometry;


[2] with Robert C. Penner and Anton M. Zeitlin, Super McShane identity, Journal of Differential Geometry, volume 125(3), 2023;


[3] with Zhe Sun, McShane identities for higher Teichmüller theory and the Goncharov-Shen potential, accepted by the Memoirs of the American Mathematical Society, volume 286, 2023;


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


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


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


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


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


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


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