Core computational
Numerical methods, computational physics, simulation, validation, and reproducible code. These are the main projects to foreground.
Projects & Outputs
A structured archive for projects, reports, code, and outputs
This section groups active projects, summer department projects, computational reproductions, and public outputs. Notes and course trajectory live elsewhere.
7
public project pages
4
with report/source links
4
core computational
27
topic tags
Portfolio emphasis
Not every public project has the same role. The main signal is numerical computation and mathematical modelling; older writing or high-school projects are kept as archive context.
Mathematical report
Mathematical exposition and report artifacts. Useful for showing theory, derivation, and communication.
Archive / context
Earlier academic work and context. These support the story, but they are not the main computational evidence.
Research route
The portfolio is meant to show process, not only titles. Each project should move from question to model, implementation, validation, limitations, and public output when ready.
1. Model
Start with the mathematical or physical question, then state assumptions before showing output.
2. Implement
Turn the model into code, a report, or a reproducible notebook with enough context to rerun later.
3. Validate
Check limiting cases, convergence, stability, known solutions, or internal consistency.
4. Publish Carefully
Link code, PDFs, and source files only when they are cleaned, documented, and safe to share.
Reports and outputs
PDFs, LaTeX source, and report-style outputs are shown here when they are public-safe. The separate reports archive still exists for stable links, but it is not the main navigation category.
Research Reports
Multiphase Tumour Growth 1-Dimensional Slab Model
A summer mathematics department project report on a two-phase tumour-growth model with nutrient transport, mechanical stresses, one-dimensional slab simplification, stability analysis, numerical solutions, and critique.
Research Reports
Lagrangian Mechanics and Variational Calculus
A rewritten LaTeX report based on a Year 1 summer mathematics department project about ordinary extrema, functionals, the Euler-Lagrange equation, shortest paths, the Beltrami identity, and the brachistochrone problem.
Research Reports
Nuclear Energy in Space Exploration
A public LaTeX portfolio version of a UPC research essay comparing radioisotope and fission power systems with solar and chemical alternatives for long-duration space exploration.
Project archive
Filter by project state or context. Summer department projects are separated from formal coursework; deferred links mean the page is public, but code, reports, or demos are still being cleaned.
7 projects shown
Computational Reproductions
Gray-Scott Reaction-Diffusion HPC Summer School Project
Jul 2026 · in progress · Core computational
An in-progress summer-school scientific-computing project on Gray-Scott reaction-diffusion simulation, pattern formation, and HPC-oriented implementation practice.
- PDEs
- pattern formation
- numerical simulation
Independent Projects
Numerical Solution of the 1-D Schrodinger Equation
Jun 2026 · in progress · Core computational
An in-progress computational quantum mechanics project on numerical solutions to the one-dimensional Schrodinger equation and quantum oscillator models.
- quantum mechanics
- numerical methods
- scientific computing
- eigenvalue problems
Summer / Department Projects
Multiphase Tumour Growth 1-Dimensional Slab Model
Jun 2026 · completed · Core computational
A Year 2 summer mathematics department project on a two-phase tumour-growth model with nutrient transport, mechanical stresses, stability analysis, and numerical solutions.
- mathematical modelling
- tumour growth
- PDEs
- numerical solutions
- stability analysis
Summer / Department Projects
Lagrangian Mechanics Project
May 2026 · completed · Mathematical report
A Year 1 summer mathematics department project on Lagrangian mechanics, variational calculus, the Euler-Lagrange equation, and classical extremal-path examples.
- analytical mechanics
- numerical integration
- physics
An in-progress computational physics project for simulating phase transitions and learning Monte Carlo methods.
- computational physics
- Monte Carlo
- statistical mechanics
A UPC independent research project on whether nuclear energy should be used in advancing space exploration, comparing radioisotope and fission power systems with chemical and solar alternatives while discussing safety and ethical concerns.
- space exploration
- nuclear energy
- academic writing
- power systems
- UPC
Independent Projects
Computational Drug Design: HIV Protease Docking
Nov 2021 · completed · Archive / context
A high-school research project using Schrödinger Maestro to model lopinavir docking with HIV-1 protease, compare 15/18/20 Å grid settings, and interpret docking scores and molecular interactions.
- molecular docking
- computational biology
- drug design
- Schrödinger Maestro
- HIV protease
No projects match this filter yet.