Scientific computing toolkit
NumPy, SciPy, Matplotlib, Pandas, PyTorch, MATLAB, and LaTeX for reproducible modelling, simulation, plotting, and reports.
Learning Route
From mathematics and physics coursework to computational research habits
A compact map of modules, self-study, summer-school work, and public outputs.
Learning route
Formal modules, self-study, and summer-school work are arranged as one academic trajectory.
Computational quantum mechanics
Numerical solutions to the one-dimensional Schrodinger equation, quantum oscillator models, and Qiskit summer-school learning.
PDEs, modelling, and HPC
Gray-Scott reaction-diffusion, tumour-growth modelling, stability analysis, numerical validation, and performance-aware implementation.
Year 1
Foundations
Analysis, algebra, methods, and first-principles physics.
- calculus
- linear algebra
- classical mechanics
- waves
- thermal physics
Year 2
Methods and core physics
Complex analysis, fluids, electromagnetism, quantum, and statistical physics.
- complex analysis
- fluid mechanics
- electromagnetism
- quantum physics
- statistical physics
Year 3
Advanced modelling and computation
Numerical methods, quantum mechanics, stochastic methods, GR, and solid-state physics.
- numerical methods
- quantum mechanics
- general relativity
- stochastic methods
- solid state physics
Course map without losing the story
The emphasis stays on trajectory; the exact modules remain visible for reference.
Year 1
Foundations
This stage led into the Lagrangian mechanics summer project report.
Open detailed course noteExact modules
Year 2
Methods and core physics
This layer connects to PDE modelling, stability analysis, and numerical solutions.
Open detailed course noteYear 3
Advanced modelling and computation
Current work on Schrodinger models, Gray-Scott simulation, Qiskit, and scientific Python supports this direction.
Open detailed course noteExact modules
Planned auditing
- Mathematics for Quantum Mechanics, Level 7
- Mathematics for AI and Machine Learning, Level 6
- Frontier Mathematics Computing, Level 7
Where to go next
Projects and reports are collected under Projects & Outputs. Shorter learning notes, reading reflections, and technical write-ups stay under Notes & Writing.