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. Here is my CV and Resume.

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.

Commutative Algebra Algebraic Geometry Closure Theory

Papers

UNDER CONSTRUCTION

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

Activities

  • I am a co-organizer of the Student Commutative Algebra Seminar in 2019 Winter 2020
    This is a student-organized seminar features talks by and for grad students interested in commutative algebra. All are welcome and encouraged to come.
  • I was a mentor for the Directed Reading Program (DRP) in Fall 2019
    The directed reading program (DRP) is designed to help motivated undergraduate students explore mathematical topics in more depth than possible. In consultation with their graduate mentors, the students choose a topic for their project, work independently on their project topics, and meet with their mentors regularly to discuss their progress. At the end of the semester, the students give brief presentations on their topics.
  • I will be a graduate student mentor for the Laboratory of Geometry at Michigan (LOG(M)) in Winter 2020
    The Laboratory of Geometry at Michigan (LOG(M)) is a group of undergraduate students, graduate students, and faculty in mathematics working to explore and share some research topics in mathematics, with focus on computation and visualization.