I'm a Mathematics Lecturer and Head of the Mathematics Department at Horizon Degree & Commerce College in Chakwal, Pakistan — the same college where I earned my own BSc in Mathematics. I've spent over nine years teaching undergraduate students, across subjects from Real Analysis and Abstract Algebra to Numerical Analysis and Machine Learning, and in that time I've taught more than 1,500 students.

My academic path has taken me through two very different research areas: fluid dynamics for my MSc, and elliptic-curve cryptography for my MPhil, which I completed while already teaching full-time. More recently, that same interest in rigorous problem-solving has pulled me toward AI mathematical reasoning — I competed in Kaggle's AI Mathematical Olympiad (AIMO3), placing in the top 12% of teams globally.

Outside the classroom, I run PlotLab, where I build Manim animations that turn abstract mathematics into something visual — and I'm currently applying to PhD programs in Data Science, Applied Mathematics, and Statistics.

Education

Degrees & theses

2018 – 2021

MPhil in Mathematics

Capital University of Science & Technology (CUST), Islamabad

Thesis: Generalized Signcryption Based on Elliptic Curve Cryptography — extending an ECC-based signcryption scheme so it can also run in signature-only or encryption-only mode, with full security-attribute and computational-cost analysis.

2015 – 2017

MSc in Mathematics

COMSATS University Islamabad, Attock Campus

Thesis: Flow of Eyring-Powell Fluid in a Channel Using Adomian Decomposition Method — a series solution for non-Newtonian channel flow, with a parametric study of velocity, flow rate, and stream function.

2012 – 2014

BSc in Mathematics

Horizon Degree & Commerce College, Chakwal

Core coursework: Calculus, Linear Algebra, Mathematical Methods, Metric Spaces, Mechanics.

Experience

Academic career

June 2024 – Present

Head of Department, Mathematics

Horizon Degree & Commerce College, Chakwal

Leading academic operations across campuses — faculty assignments, course distribution, curriculum development — and chairing departmental seminars on emerging technologies in mathematics and AI.

March 2017 – May 2024

Lecturer in Mathematics

Horizon Degree & Commerce College, Chakwal

Taught Real Analysis, Measure Theory, Abstract Algebra, Functional Analysis, Linear Algebra, Discrete Mathematics, Number Theory, Numerical Analysis, Calculus, Statistics, and Machine Learning — with LaTeX-typeset materials and Manim-animated lectures.

Skills

Technical toolkit

Programming & Typesetting

  • Python
  • SQL
  • LaTeX
  • Manim

Scientific Computing

  • NumPy · SciPy · SymPy
  • Pandas
  • Matplotlib · Seaborn

Machine Learning

  • Scikit-learn
  • XGBoost
  • Hugging Face Transformers
  • FastAPI

LLMs & Agentic AI

  • Groq API · LLaMA-3.3-70B
  • MCP
  • FAISS
  • Tool-Integrated Reasoning

Data & Visualization

  • Excel · Tableau · Power BI
  • MySQL · PostgreSQL

Platforms

  • VS Code · Jupyter · Colab
  • Streamlit
  • Git / GitHub

Let's talk

For teaching, research collaboration, or PhD-related conversations — reach out directly.

sohaibhassan199@gmail.com