I'm a Mathematics Lecturer and Head of the Mathematics Department at Horizon Degree & Commerce College in Chakwal, Pakistan. It's the same college where I earned my own BSc in Mathematics. Over the past nine years I've taught undergraduate courses ranging from Real Analysis and Abstract Algebra to Numerical Analysis and Machine Learning, and taught more than 1,500 students along the way.

My research has taken me through two very different areas: fluid dynamics for my MSc, and elliptic-curve cryptography for my MPhil in Mathematics, which I finished while teaching full-time. That same interest in working through hard problems carefully led me to AI mathematical reasoning more recently. I competed in Kaggle's AI Mathematical Olympiad (AIMO3) and placed in the top 12% of teams worldwide.

Outside the classroom, I run PlotLab, where I build Manim animations that make abstract mathematics easier to see and understand, and I've built an AI doubt-clearing assistant that answers my own students' questions straight from their course notes. I'm also 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. I extended an existing ECC-based signcryption scheme so it could also run in signature-only or encryption-only mode, and analyzed it fully for security and computational cost.

2015 – 2017

MSc in Mathematics

COMSATS University Islamabad, Attock Campus

Thesis: Flow of Eyring-Powell Fluid in a Channel Using Adomian Decomposition Method. I worked out a series solution for non-Newtonian channel flow and studied how velocity, flow rate, and stream function changed under different parameters.

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

I lead academic operations across campuses, including faculty assignments, course distribution, and curriculum development, and chair 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, using 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