Mathematics Honours and Statistics, Australian National University.
Research interests: equivariant stable homotopy theory & THH/TC.
Accelerated entry: commenced university at 15; completed Honours year at 20.
Education
The Australian National University
- Bachelor of Mathematical Sciences (Honours)
- First Class Honours
- Supervisor: Dr. Vigleik Angeltveit
- Research area: Equivariant Stable Homotopy Theory
- Descriptive course list (upper-division/graduate): available here (PDF)
The Australian National University
- Bachelor of Statistics
- Descriptive course list (upper-division/graduate): available here (PDF)
Australian Mathematical Sciences Institute
- Summer School 2024
- Descriptive course list: available here (PDF)
Research Projects
My Honours thesis in equivariant stable homotopy theory, supervised by Dr. Vigleik Angeltveit. Develops a twisted model of p-cyclotomic spectra and twisted TC for Cn-ring spectra, provides a Nikolaus–Scholze style theorem for computing twisted TC, and gives an identification between norms and twisted cyclic bar constructions.
Read Full Thesis →Report and seminar talk surveying odd-primary refinements and constraints on Hopf invariant one.
Read Report →Constructs Lévy–Itô integration for general Lévy processes and compares it with Itô integration, with worked examples for compound Poisson and variance-gamma processes.
Read Report →Surveys rational homotopy theory and differential graded algebras.
Read Report →Expository project connecting C2-equivariant techniques to the Hill–Hopkins–Ravenel approach.
Read Report →Expository project on spaces with unconditional martingale differences, and applications to stochastic calculus.
Teaching
Demonstrator
- MATH1005: Discrete Mathematical Models (July 2023 – Nov 2024) - ran workshops, marked assignments and exams, and wrote solutions.
- MATH1115: Advanced Mathematics and Applications 1 (Feb 2026 – June 2026) - running workshops, marking assignments and exams.
- MATH2222: Introduction to Mathematical Thinking: Problem-Solving and Proofs (Feb 2025 – June 2025) - ran workshops, marked assignments and exams.
- MATH4204: Algebraic Topology (Honours) (July 2025 – Current) - marked assignments.
- MSI Drop-In Help Centre (Aug 2026 – Current) - answering questions from students in all MATH courses at ANU, primarily first and second year.
Talks & Presentations
- THH with a "Twist" – Honours Conference, ANU (Nov 2025)
- What is... G-stuff? – What is...? Seminar, ANU (Aug 2025)
- Odd Primary Hopf Invariant One – VBKT Seminar, ANU (June 2025)
- The Scariest Maths Topics (in 8 minutes) – Maths in the Pub (May 2025)
- Lévy Integration – Stochastic Analysis & Financial Applications (Nov 2024)
- C2-Equivariance and KR-Theory – Stable Homotopy Theory Seminar, ANU (June 2024)
Service
- Co-organiser, "What is...?" student seminar, ANU (2025).
Work Experience
Data Analyst
Configuration Management & Reporting Service Delivery Manager
Technical Skills
- Programming: Python, R, MATLAB, HTML, CSS; SQL, Excel, PowerBI, PowerQuery
- Typesetting: LaTeX (BibTeX, TikZ, TikZ-cd)
- Languages: English (native); some Chinese
Awards
- Caltex Best All Rounder Award - Presented in recognition of excellence in academic, leadership, sporting and community service activities.
- Member of MENSA Australia.