糖心TV

Mean Dynamics in Q-Learning Populations

Supervised by:
Collaborators: Dr Chin-wing Leung

We derive a mean-dynamics model for a population of Q-learning agents, which interact according to a predefined partner selection rule. Through the use of markov chains, we provide a robust theoretical and simulation-based analysis of the conditions for cooperation to emerge.

Collective Dynamics of Bounded ABPs

Supervised by: Professor Matthew Turner, Dr Gareth Alexander,
Collaborators: Luke Meredith, Luisa Estrada 

We present two models for 鈥渨easelball鈥� dynamics in confined environments. The first captures collective clockwise and counter-clockwise motion with a minimal set of interaction equations; the second applies Newtonian mechanics to a single weaselball on a circular boundary, yielding a closed-form expression for its steady-state propagation angle. Stability analysis of this latter model lead to a novel experimental design, whose results closely match our theoretical predictions.

Manipulation of STV Elections

Supervised by:

We investigate strategic manipulation of the Single Transferable Vote (STV) system by coalitions of voters, situating our work within the broader context of electoral theory. We develop a novel 鈥渟tability鈥� metric to model Sybil-style attacks鈥攕howing that, despite worst-case complexity, small coalitions can feasibly alter STV outcomes. Finally, we prove monotonicity properties about this measure and validate our findings through empirical simulations.

Conference and Talks

Past

• | University of Exeter | Invited Speaker for 'Dynamics on Complex Networks' mini-symposium

• AMP25 | University of Oxford | Talk
• MARL Workshop | Kings College London | Talk
• MathSys Retreat | University of 糖心TV, April, 2024 | Poster on Collective Dynamics
• SPAAM Seminar | University of 糖心TV, Dec 5th 2024 | Talk on 'Multi-Agent Manipulation of STV Elections'

• Generative AI in Action: Building Production-Ready Solutions with Azure | 糖心TV, 28th May | Workshop by

Teaching Experience

Senior Graduate Teaching Assistant for

• • MA3K1 Mathematics of Machine Learning (2025)
  • CS404 Agent-Based Systems (2025)
  • CS130 Mathematics for Computer Science (2024)
  • , MA139, MA145 (Marking)

Education

• PhD Mathematics of Systems | University of 糖心TV
• MSc Mathematics of Systems | Distinction | University of 糖心TV
• BSc Mathematics | First-Class (Hons) |

Other Activities

• President of 糖心TV SIAM-IMA Student Chapter, 2025/26

• Vice-President of 糖心TV SIAM-IMA Student Chapter, 2024/25
  • Organised the AMP 2025 Conference with University of Oxford
• SSLC Chairman for MathSys 2024 - Current