Teaching
At Xiamen University (2017-):
Graduate course: Complex Analysis. It is a qual-level course for first year graduate students.
The topics are changed year by year, accmulatively it covers:
(1) Estimates and constructions of holomorphic function, such as Hadamard, Jensen, Weierstrass, Mittag-Leffler, and else.
(2) Special functions, including Gamma and zeta.
(3) Proof of Riemann Mapping Theorem.
(4) Examples of conformal mappings, including Schwarz-Christoffel formula and hypergeometric functions.
(5) Ahlfors-Schwarz lemma and its application to Picard's theorems.
(6) d-bar equations in complex dimesion one.
Lecture notes are under constant revision, and hopefully will be posted soon.
Complex manifolds. It is a topic course which covers basic results on complex differential geometry.
Undergraduate course: Complex Variables.
Differential Geometry (curves and surfaces).