About Me
I am a MSci Mathematics student at Imperial College London. I am interested in Algebraic Geometry from a computational aspect.
Research
-
GameTheory Package Development (Nov 2024 – Present)
Supervisor: Dr. Irem Portakal, Max Planck Institute
Developing the GameTheory package in Macaulay2, focusing on computing totally mixed Nash equilibria using payoff tensors. Contributed to the Macaulay2 in the Sciences workshop. -
UROP: Algebraic Geometry (Jun – Sep 2024)
Supervisor: Dr. Soheyla Feyzbakhsh, Imperial College London
Investigated the arithmetic properties of elliptic curves over finite fields, such as Hasse's theorem, and some of their cryptographic applications.
Notes -
M2R: Dynamics on Homogeneous Spaces: Ratner's Theorem and application in Diophantine approximation (May – Jun 2024)
Supervisor: Dr. Marie-Amelie Lawn, Imperial College London
Presented proofs from Ratner's Measure Classification Theorem to the Equidistribution Theorem. Visualized Margulis' Theorem quantitatively using Python.
Paper
Talks
-
TMT 2025: Algebraic Systems in Game Theory & Macaulay2 Package Development
Link Online, Mar 2025 -
Algebraic Systems in Game Theory & Macaulay2 Package Development
Undergraduate Colloquium, Imperial College London, Jan 2025 -
3 Minute UROP Talks
Algebraic Geometry and Cryptography, Imperial College London, Oct 2024
Skills
Programming: Python, Julia, Macaulay2, R, LaTeX, Git, GitHub, HTML, css
Software: Mathematica, Emacs, VScode, Excel, PowerPoint
Languages: English(Professional), Mandarin(Native), and I'm also able to speak French, Turkish and Shanghainese at a decent level.
Other
Backpacking: I have solo backpacked across 40+ countries among Asia, Europe, and Africa, exploring diverse cultures and expanding my worldview. I'm also into outdoor sports and plan to climb more mountains both on Earth and in Mathematics.
Contact
Email: cz2922@ic.ac.uk
GitHub: github.com/chenyangzhaoicl
LinkedIn: linkedin.com/in/czicl
Website: www.felixzhao.com