Student Projects offered by Xu Wang

— For Bachelor/Master thesis : choose one of the following two books to read (the final thesis will be a reading note):

1. Kodaira: complex manifolds and deformation of complex structures.

2. H\"ormander: an introduction to complex analysis in several variables.

— For PhD : Try to read and understand Chapter 1,2, 4 of the above H\"ormander book and Chapter 1-7 of the Kodaira book, after that you can read this note, which contains the basic tools (e.g. H\"ormander method for Bergman kernel, Kodaira embedding, Brunn-Minkowski inequality) for almost all my projects. Find one topic that you like best from that note and then contact me for a further study.