Course Notes
Here is a list of notes from courses I've taken. Most of them are hand-writting notes on a digital tablet. There may be potential mistakes/typos/unclear notations.
See MoreI am currently a Ph.D. candidate, in the mathematics department at the University of Michigan. I am interested in commutative algebra and algebraic geometry, especially in positive characteristic and mixed characteristic. My advisor is Mel Hochster. I was previously an undergraduate mathematics major at Tsinghua University. Here is my CV and Resume.
I'm interested in topics related to Commutative Algebra and Algebraic Geometry. Recently I'm working on the closure theory of ideals and modules in rings of all characteristics, e.g. tight closure in equal characteristic and epf/r1f closure in mixed characteristic. I also enjoy thinking about problems in multiplicities.
Commutative Algebra Algebraic Geometry Closure Theory
UNDER CONSTRUCTION
Here is a list of notes from courses I've taken. Most of them are hand-writting notes on a digital tablet. There may be potential mistakes/typos/unclear notations.
See MoreHere is a list of notes of seminars I've attended. Most of them are scanned hand-writting notes on papers. These notes are based on my understanding of talks.
See MoreHere is a list of notes of workshops/conferences I've attended. Most of them are scanned hand-writting notes on papers. These notes are based on my understanding of talks.
See MoreHere is a list of notes in commutative algebra by myself. These notes are preliminary and not proofread.
See More
ArXiv - Commutative Algebra
Mathematics Genealogy Project
My Wiki in Math
My Wiki in TeX
Code Generator
The Online Encyclopedia of Integer Sequences
The "What is ...?" Column
List of long mathematical proofs
List of incomplete proofs
[Kai-Wen Lan] French Glossary, German Glossary
[Daniel Murfet] The Rising Sea
[Andreas Gathmann] Algebraic Geometry ,
[Mel Hochster] Local Cohomology, Tight Closure Theory, Multiplicities & Spectral Sequences
[Jordan S. Ellenberg] Tips on giving talks