Papers/Preprints

• Towards the K(2)-local homotopy groups of RP^2∧CP^2∧HP^2 at p=2. In preparation.
• A proof of the generalized geometric boundary theorem using filtered spectra. [arXiv:2309.14650].
  Topology and its Applications 355 (2024): 109006.
• The Borel and genuine C_2-equivariant Adams spectral sequences. [arXiv:2208.12883].

Notes

• Self-duality of E_2^{hG_2^1} at p≥5. [PDF].
• Homotopy of tmf at the prime 2. [PDF].
  (Wrote when pursuing my Bachelor's degree at Peking University in 2019.)

Miscellanies

• Borel C_2-equivariant Adams E_2-page in coweights -2~13. [PDF].
• Borel C_2-equivariant Ext computation program.

Teaching

As Intructors

• MATH 10360 Calculus B, University of Notre Dame, Spring 2023

As Teaching Assistants

• MATH 22850 Honor Calculus III Tutorial, University of Notre Dame, Fall 2023
• MATH 12560 Calculus II Tutorial, University of Notre Dame, Fall 2022
• MATH 22580 Linear Algebra and Differential Equations Tutorial, University of Notre Dame, Spring 2022
• MATH 12550 Calculus I Tutorial, University of Notre Dame, Fall 2021


• Mathematical Analysis II Tutorial, Peking University, Spring 2020
• Mathematical Analysis I Tutorial, Peking University, Fall 2019