RZ Rui Zhang Academic portfolio
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Year 3 · UCL

Year 3 Specialisation and Independent Work

Undergraduate

Planned third-year specialisation in general relativity, optimisation, numerical methods, stochastic methods, electromagnetism, nuclear and particle physics, solid state physics, and quantum mechanics.

  • advanced modelling
  • research preparation
  • scientific computing
  • quantum mechanics
  • optimisation

This course map is reserved for advanced topics, independent work, and research preparation. It should become the bridge between coursework and a more mature academic portfolio.

Planned modules

  • MATH0025 Mathematics for General Relativity.
  • MATH0028 Combinatorial Optimisation.
  • MATH0033 Numerical Methods.
  • MATH0102 Applied Stochastic Methods.
  • PHAS0038 Electromagnetic Theory.
  • PHAS0040 Nuclear and Particle Physics.
  • PHAS0041 Solid State Physics.
  • PHAS0042 Quantum Mechanics.

Planned auditing

  • Mathematics for Quantum Mechanics, Level 7.
  • Mathematics for AI and Machine Learning, Level 6.
  • Frontier Mathematics Computing, Level 7.

Themes to connect

  • Advanced modelling choices and their assumptions.
  • Scientific computing practice: reproducibility, validation, and readable code.
  • Quantum mechanics, condensed matter, and computation as a coherent direction for later research preparation.
  • Research preparation through literature notes, reports, and independent projects.

Public evidence

Current work on numerical solutions to the one-dimensional Schrodinger equation, quantum oscillator models, Gray-Scott HPC work, and Qiskit summer-school learning will be linked here as public notes or project pages when the material is reproducible enough to publish.