Here are some documents that may or may not be published.
Chinese Translation of Verdier's Thesis
Verdier's thesis des catégories dérivées des catégories abéliennes is a famous textbook for derived categories. I translated it in summer 2017. PDF Section 1.5 and 1.6 of chapter 1 are omitted since they do not have many connections to the following sections.
The diagrams are drawn by diagrams.sty. There should be a little typos in the document; welcome the readers to find and point to me. There is another version that is more capable for small 4:3 screen such as Kindle. PDF
General Perverse Multiplicity
Cup product is an important and nature structure on the cohomology ring. It is capatible with the degree filtration. When there is morphism, the cohomology groups have another filtration, say perverse filtration. This paper gives a general result on whether cup product preserves such filtration. It also contains several examples of this result. PDF
Note that in the paper The Hodge theory of character varieties by Mark Andrea de Cataldo, the author stated this result but did not give any effective proof. The question proposed in Remark 6.4 is also answered in my paper.
Perverse Multiplicativity for General Kummer Variety
For some special morphisms, the perverse multiplicity is much stronger than the previous result. In this paper, I studied the special case, a Lagrange fibration on the general Kummer variety, and proved the stronger perverse multiplicity for it. PDF
A much more general result was given by Junliang Shen and Qizheng Yin.