## Research Interests

I am interested in algebraic number theory, especially Iwasawa theory and related topics.
My research consists of both abstract theory and explicit numerical computations.

## Publications and preprints

• Congruences over $GL_2$-extensions
preprint.

• Computing Iwasawa $\lambda$-invariants over $\mathbb{Q}(\mu_l)$
preprint.

• On the solvability of regular subgroups in the holomorph of a finite solvable group (joint with with C. Tsang)
International Journal of Algebra and Computation, 30(02), 253--265, (2020).(pdf)

• $K1$-congruences for three-dimensional Lie groups (joint with Daniel Delbourgo)
Annales mathématiques du Québec, 43(1), 161--211, (2019). (pdf)

• On $\lambda$-invariants attached to cyclic cubic number fields (joint with Daniel Delbourgo)
LMS Journal of Computation and Mathematics, 18(1), 684--698, (2015). (pdf)

## Research Grants

• National Natural Science Fund

Title: Iwasawa theory over higher dimensional p-aidc Lie extensions
Amount: CNY 240,000
Award Number: 12001546
Duration: 2021.1–2023.12

• Fundamental Research Funds for the Central Universities

Title: Topics in Non-commutative Iwasawa theory
Amount: CNY 155,000
Award Number: 19lgpy251
Duration: 2019–2021