About Me

I 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.

I'm currently on the job market for postdoctoral positions. Here is my CV.

Papers

Research Interests

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.

Here is a 5-min "elevator pitch" about my research!

Commutative Algebra Algebraic Geometry Closure Theory

Talks & Posters

Notes

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.

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Seminar Notes

Here 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.

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Workshop/Conference Notes

Here 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.

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Other Notes

Here is a list of notes in commutative algebra by myself. These notes are preliminary and not proofread.

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Teaching Experience

Service