Even Filtration and Cyclotomic Synthetic Spectra: notes on two talks given by Zhenpeng Li in the Synthetic Spectra Seminar organized by Kailin Pan at Peking University in Fall 2024.
Notes on Algebraic K-Theory and Prismatic Cohomology (revised version): notes on a Mini-course taught by Longke Tang at BICMR in Winter 2023 (an incomplete set of notes, typed up by Ou Liu, can be found here).
Applications of the Pullback Theorem: notes for a talks given in the Homotopy Reading Seminar organized by Grigory Andreychev, Shizhang Li and Zhiyou Wu at Morningside Center of Mathematics in Fall 2026.
Spectra and Excisive Functors in (∞,1)-Categories (Video): a talk given at the IWoAT Summer School 2026: Stable Homotopy Theory at the Academy of Mathematics and Systems Science in August 2026.
Even Filtration and Refined THH: notes for two talks given in the Homotopy Reading Seminar organized by Grigory Andreychev, Shizhang Li and Zhiyou Wu at Morningside Center of Mathematics in Fall 2025.
Notes on Synthetic Spectra (v3): notes for three talks given in the Homotopy Reading Seminar organized by Shizhang Li, Zhiyou Wu, Foling Zou, and Weizhe Zheng at Morningside Center of Mathematics in Spring 2025.
Seminar on Telescope Conjecture (currently on hold): notes for Telescope Conjecture Seminar co-organized with Guchuan Li and Yuxuan Li at Peking University in Fall 2024--Spring 2025.
Introduction to Infinity Categories: notes for three talks given in the Graduate Homotopy Theory Seminar at Beijing Normal University in Fall 2024--Spring 2025.
Animated Rings and Derived Prismatic Cohomology: notes for a talk given in the Prismatic Cohomology Seminar organized by Yixuan Fu from Tsinghua University and Xiangdong Wu from Morningside Center of Mathematics in Fall 2024.
Polynomial Functors and Computations on THH: notes for a talk given in the Homotopy Reading Seminar organized by Shizhang Li, Zhiyou Wu, Foling Zou, and Weizhe Zheng at Morningside Center of Mathematics in Fall 2024.
Notes on Compactly Assembled ∞-Categories: notes for two talks given in the online K Theory Seminar co-organized with Zong Shuai from Hong Kong University of Science and Technology in Fall 2024 (the other two talks in the series did not have separate notes; our joint notes can be found here).
Notes on Rigidity (currently on hold): notes for the discussion on rigidity with Jiacheng Liang and 6-functor formalism with Tianjian Tan.
A Brief Introduction to Algebraic K-Theory (Chinese slides): notes for a talk given in the course "Methods of Algebra" taught by Fan Qin at Beijing Normal University in Fall 2025.