Mathematics Lecturer & Head of Department
Nine years teaching advanced mathematics. An MPhil in elliptic-curve cryptography. A top-12% finish at the AI Mathematical Olympiad. Same conviction, three proofs — mathematics rewards whoever reasons carefully, student or machine.
I teach undergraduate mathematics at Horizon Degree & Commerce College in Chakwal, Pakistan, where I now head the Mathematics Department. My own path ran through an MSc in fluid dynamics and an MPhil in elliptic-curve cryptography — and lately, toward AI systems that can reason mathematically.
I'm currently applying to PhD programs in Data Science, Applied Mathematics, and Statistics, while building PlotLab — a home for mathematical animation — alongside teaching and research.
Nine years lecturing undergraduate mathematics at Horizon Degree & Commerce College — Real Analysis, Abstract Algebra, Functional Analysis, Number Theory, and more — using LaTeX-typeset notes and Manim-animated lectures.
Leading academic operations, faculty assignments, and curriculum development across campuses.
Real Analysis, Measure Theory, Abstract Algebra, Functional Analysis, Number Theory, Numerical Analysis, Statistics & ML.
Scored 42/50 in Kaggle's AIMO3, ranking 495th of 4,138 teams — designing verification-driven prompting for an olympiad-reasoning pipeline.
Solved every puzzle, including the Metapuzzle, in Harvard's international logic and reasoning competition — 166+ countries.
Extended an elliptic-curve signcryption scheme into a generalized construction supporting encryption-only and signature-only modes.
Solved the channel-flow equations for a non-Newtonian fluid using the Adomian Decomposition Method.
PlotLab is where I turn abstract mathematics into Manim-built animation — built for the 45,000+ people following along on Facebook and Instagram. The full showcase, organized by topic, is being built next.
A growing library of LaTeX-typeset notes — Calculus, Linear Algebra, Real Analysis, Group Theory, Number Theory, and Machine Learning — each with independent view/download control. Being built next.
Long-form writing on mathematics, AI reasoning, and teaching — with full LaTeX math support built in.
New notes, animations, and PlotLab drops — straight to your inbox, no algorithm in between.
Tutoring in mathematics, statistics, cryptography, DSA, and machine learning. Custom Manim-built animations for research, teaching, or anything else. Or something else entirely — let's talk.
For teaching, research collaboration, or PhD-related conversations — reach out directly.
sohaibhassan199@gmail.com