Yuxuan Cheng
SYDNEY,NSW
Summary
Motivated student with formal knowledge gained through excellent performance in pure mathematics units offered in The University of Sydney. Familiar with group, ring, field theory, theories in commutative algebras, and the representation theory of finite groups and algebras. The interested area includes the representation theory of the symmetric groups, the graded representation theory of the KLR algebra, algebraic geometry and topics in homology.
Overview
1
1
year of professional experience
Work History
Researcher
12.2022 - 10.2023
- This research is a partial fulfillment of the requirements for the degree of Bachelor of Science and Bachelor of Advanced Study (Honours).
- This research is a survey on the representation theory of the symmetric groups. In particular, my work was on reviewing the graded decomposition number of the cyclotomic KLR algebra of affine type A.
- Theories that are covered in this research includes the representation theory of graded cellular algebras, graded branching rules, and canonical basis theory, among others.
Education
Bachelor of Science - Pure Mathematics
The University of Sydney
Camperdown NSW 2050, Australia03.2024
Foundation Program - Foundation Program
Taylors College
965 Bourke St, Waterloo NSW 2017, Australia01.2019
Skills
- Background in Morden Algebras
- Technical Writing
- Project Management
- Independent Learning
- Literature Review
Languages
Chinese (Mandarin)
Native language
English
Advanced
C1
Japanese
Intermediate
B1
Timeline
Researcher
12.2022 - 10.2023
Bachelor of Science - Pure Mathematics
The University of Sydney
Foundation Program - Foundation Program
Taylors College
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