Mathematics · CUHK-Shenzhen
Number theory &
arithmetic geometry.
I am an undergraduate in Mathematics and Applied Mathematics (Pure Mathematics stream) at The Chinese University of Hong Kong, Shenzhen, expecting to graduate in June 2027. My interests lie in number theory and arithmetic geometry.
This is a collection of my mathematical reports, independent studies, and academic activities.
01
Sep 2023 — Present
B.Sc. in Mathematics and Applied Mathematics
Pure Mathematics stream · Expected graduation: June 2027
Cumulative GPA 3.611 / 4.000Major GPA 3.740 / 4.000
Dean’s List · 2024–25 & 2025–26
Lie Groups and Lie Algebras (A); Honours Linear Algebra II (A); Abstract Algebra I (A); Real Analysis (A); Introduction to Geometry and Topology (A); Differential Geometry (A−); Partial Differential Equations (A−).
Jan — May 2026
Visiting Student
Berkeley, California, USA
Graduate courseworkMATH 250B · Commutative Algebra
MATH 254B · Number Theory (A)
MATH 256B · Algebraic Geometry
02 / Mathematical writing
A record of learning,
one topic at a time.
Course reports and independent expository studies. Available PDFs open in a new tab. Two early studies were handwritten and have no digital copy available.
A study of local Tate duality for degree-two isogenies, relating Kummer images, Weil pairings, and quadratic Hilbert symbols, with an explicit example over ℚ₅.
An exposition of the integral Brauer–Manin obstruction for indefinite quadratic forms, including homogeneous spaces, Brauer groups, and explicit examples.
An exposition of the local and global Kronecker–Weber theorems, using Kummer theory, cyclotomic fields, ramification, and local–global methods.
Rational solutions of quadratic equations viewed through projective hypersurfaces, with arithmetic proofs and a discussion of the Brauer–Manin obstruction.
An exposition of the classification of simple Lie algebras through root systems and Dynkin diagrams. Coauthored with Yingxian Hui and Zihan Ke.
Notes on representations of matrix Lie groups and Lie algebras, together with the Baker–Campbell–Hausdorff formula.
6 reports available as PDF 2 handwritten studies 1 ongoing study
03
Fall 2025 & Fall 2026
Teaching Assistant · Honours Linear Algebra II
CUHK-Shenzhen
Explained course material in tutorials and answered students’ questions outside class.
2023 — 2026
CUHK-Shenzhen Student Association
Delivered calculus review lectures for midterm and final examinations and participated in problem-solving workshops.
Tools I use
PythonMATLABMathematicaLaTeX