ibrahim

i'm a final-year mathematics student at the university of manchester, working on mathematical modelling, statistics, and machine learning.

i'm most interested in modelling real systems: numerical methods, simulation, and data-driven prediction, where the maths has to hold up against real data.

recently that has meant regression and machine learning projects in r and python, and this year, modules in machine learning, medical statistics, and scientific computing in c++ and matlab.

education

bsc mathematics, university of manchester

2024 to 2027 · 73% average, on track for first-class honours

projects

california housing price prediction

python, scikit-learn · random forest, rmse $41,423

quadratic regression analysis

r, ggplot2 · r² = 0.9812, validated with residual diagnostics

properties and applications of quaternions

latex · co-authored report, 90% report, 90% presentation

c.u.b.o., autonomous rubik's cube solver

python, electronics · wrote the servo control code

clustering techniques on medical data

final-year project, in progress

modules

year 3 (2026/27, in progress)
  • mathematics and applications of machine learning
  • statistical machine learning
  • multivariate statistics and machine learning
  • medical statistics
  • scientific computing (c++)
  • problem solving by computer (matlab)
  • complex analysis and applications
year 2 (2025/26)
  • mathematical modelling
  • fluid mechanics
  • partial differential equations and vector calculus
  • numerical analysis 1
  • programming with python
  • linear regression models
  • probability and statistics 2
  • stochastic processes
  • introduction to financial mathematics
  • mathematical communication and group projects
year 1 (2024/25)
  • linear algebra
  • real analysis
  • mathematical foundations and analysis
  • mathematical problem solving
  • introduction to vector calculus
  • ordinary differential equations and applications
  • probability i
  • statistics i