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- International Conference on Arithmetic Geometry in honor of Professor Michael Rapoport's 71st Birthday (March 18–22, 2019)
- Conference on Arithmetic Algebraic Geometry in honor of Professor Nicholas Katz's 71st Birthday (May 11–15, 2015)
- Summer Workshop on Arithmetic Geometry (July 22–25, 2013, with Shenghao Sun and Yichao Tian)
- Workshop on Perfectoid Spaces (August 6–10, 2012, with Yichao Tian)
- Workshop on Faltings' theory of almost étale extensions (August 3–14, 2009, with Yichao Tian)

- Algebra III (commutative algebra, Spring 2019, summary)
- Algebra II (homological algebra, Spring 2015–2018, notes)
- Algebraic Number Theory 2 (Fall 2014, Fall 2016, Tsinghua, notes)
- Geometry of modular curves and arithmetic applications (Summer 2012, Tsinghua, with Yichao Tian)
- Basic Algebraic Geometry (Summer 2011, Tsinghua, with Xinwen Zhu)
- Abelian Varieties (Summer 2010, Tsinghua, with Yichao Tian, incomplete notes)
- Teaching at Columbia (2008–2012)

- Homological and homotopical algebra, notes for a talk in a reading seminar
- Laurent Lafforgue's Hua Loo-Keng Distinguished Lecture "What is the Langlands program all about?" (November 13, 2013)