Mathematics Lecturer & Head of Department
Nine years teaching advanced mathematics. An MPhil in Mathematics, researching elliptic-curve cryptography. A top-12% finish at the AI Mathematical Olympiad. And an AI tutor built for my own classroom, trained only on my students' notes. Every one of them comes from the same belief: careful reasoning gets rewarded, whether it comes from a student or a machine.
I teach undergraduate mathematics at Horizon Degree & Commerce College in Chakwal, Pakistan, where I now head the Mathematics Department. My own path went through an MSc in fluid dynamics and an MPhil in Mathematics researching elliptic-curve cryptography, and more recently toward AI systems that can reason mathematically.
I'm currently applying to PhD programs in Data Science, Applied Mathematics, and Statistics. Alongside teaching and research, I also run PlotLab, where I build mathematical animations.
Nine years lecturing undergraduate mathematics at Horizon Degree & Commerce College, covering 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 out of 4,138 teams, by designing verification-driven prompting for an olympiad-reasoning pipeline.
Solved every puzzle, including the Metapuzzle, in Harvard's international logic and reasoning competition, which drew participants from 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, made for the 45,000+ people following along on Facebook and Instagram. The full showcase, organized by topic, is coming next.
A growing library of LaTeX-typeset notes, covering Calculus, Linear Algebra, Real Analysis, Group Theory, Number Theory, and Machine Learning, each with independent view and download control. Coming next.
Long-form writing on mathematics, AI reasoning, and teaching, with full LaTeX math support built in.
New notes, animations, and PlotLab drops, sent 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