My maths research interest is in complex analysis in particular, geometric function theory.

For students: here is a guide to my field of research

Publications

- Carathéodory balls and proper holomorphic maps on multiply connected planar domains, joint with Tuen Wai Ng and Chiu Chak Tang, arXiv:2105.03156​
- The Fridman function, injectivity radius function and squeezing function, joint with Tuen Wai Ng and Chiu Chak Tang, Journal of Geometric Analysis
- The squeezing function on doubly-connected domains via the Loewner differential equation, joint with Tuen Wai Ng and Chiu Chak Tang, Mathematische Annalen (2020).
- Higher order, polar and Sz.-Nagy’s generalized derivatives of random polynomials with I.I.D. zeros on the unit circle, joint with Pak-Leong Cheung,Tuen-Wai Ng, and S.C.P. Yam, Computational Methods in Function Theory, 15 (2015), pp 159–186.
- Loewner chains on the universal covering space of a Riemann surface, arXiv:0812.3721.
- Extending the Schwarz-Christoffel formula to universal covering maps of Riemann surfaces, Computational Methods in Function Theory, 12 (2012), pp. 687–706. 
- The Loewner driving function of trajectory arcs of quadratic differentials, J.Math. Anal. Appl., 360 (2009), pp. 561–576.