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fushanbobfan/README.md

Jiayi (Bob) Fan

UCLA undergraduate in Data Theory, Cognitive Science and Political Science, class of 2028. I work on reliable AI for human and multi-agent decision systems, and I also build interactive simulations.

Research

  • proofnet-ir — verified correctness checking for proof nets in multiplicative linear logic, in Lean 4. v0.10.0 decides correctness with Guerrini's sequential procedure, with proved termination and a quadratic cost bound; 1,191 audited declarations use only Lean's three standard axioms.
  • proof-graphs — order redundancy of Lean tactic proofs: preregistered experiments continuing ProofNet-IR.
  • Human–AI grading (UCLA Political Science, in progress) — generative models as both student and grader, measured against a human baseline.
  • MCM2026ProblemB — MCM 2026 Problem B, Finalist and MAA Award: MILP and Monte Carlo for lunar logistics with space elevators.
  • Simplification-of-Arifovic-Strings-Simulation — an interactive simulation of a minimum-effort coordination game with death–birth dynamics, built for PS 189.

Interactive explorables

Each one runs in the browser with no build step.

ripplefield a 2D ripple tank: interference, diffraction, reflection, refraction
gravity-garden N-body gravity and orbital mechanics
murmuration flocking: tune the steering rules, watch a flock emerge
epicyclon draw a shape, watch rotating circles retrace it via the DFT
pathlight grid pathfinding algorithms, step by step
chromalens colour-vision-deficiency simulation for images

Tools

Pinned Loading

  1. proofnet-ir proofnet-ir Public

    Verified proof-geometry IR experiments for AI-guided theorem proving in Lean 4

    Lean 3 1

  2. ai-eval-micro-lab ai-eval-micro-lab Public

    Small, auditable experiments for evaluating AI model outputs.

    Python

  3. MCM2026ProblemB MCM2026ProblemB Public

    Forked from Jessicaus/MCM2026ProblemB

    Github Repo for Question B Mathematical Modeling Contest (MCM). Using MILP and Monte Carlo methods to solve Moon Logistic problem with the hypothetical Space Elevators.

    Jupyter Notebook 1

  4. ripplefield ripplefield Public

    An interactive ripple tank: drop wave sources, draw walls and watch interference, diffraction, reflection and refraction in the browser.

    JavaScript

  5. Simplification-of-Arifovic-Strings-Simulation Simplification-of-Arifovic-Strings-Simulation Public

    Simplification of Arifovic Strings Simulation

    JavaScript

  6. veridone veridone Public

    Evidence-first acceptance desk for AI-assisted software work

    TypeScript