About Me
I am a third-year MSci Mathematics student at Imperial College London. My research focuses on applied algebraic geometry, algebraic statistics, and computational applications. I am passionate about connecting deep theoretical mathematics with practical computational tools, as well as exploring their applications in biology and machine learning.
Research Experience
-
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. -
Applied Dynamical Systems and Computation (Sep – Nov 2024)
Supervisor: Dr. Boumediene Hamzi, Imperial College London
Studied kernelisation techniques for KAN and generative AI models. Worked on making models robust in high-dimensional scenarios using kernel flows. -
Elliptic Curve Cryptography (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 their cryptographic applications.
Notes -
Dynamics on Homogeneous Spaces (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
-
Algebraic Systems in Game Theory & Macaulay2 Package Development
Undergraduate Colloquium, Imperial College London, TBC 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, Mandarin, Turkish (Intermediate), French (Beginner), Arabic (Beginner)
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