Start: March 26

Abstract Maths 101 From Almost Zero to Hero

$$\array{ && im (\phi_n) &&\to&& ker (\phi_{n-1}) \\ & \nearrow && \searrow && \swarrow \\ \Omega_{n+1} &&\stackrel{\phi_n}{\to}&& \Omega_n &&\stackrel{\phi_{n-1}}{\to}&& \Omega_{n-1} }$$

Rebuild your mathematical foundation from first principles. A rigorous journey into Topology, Linear Algebra, and C*-Algebras for researchers, engineers, and serious learners.

Limited Cohort: 60% OFF + Free Logic Prep Series Included

Secure Early Bird Price View Syllabus

Join alumni from top research institutions & tech labs.

Master the Fundamentals

Stop relying on black-box formulas. Build a rigorous, proof-based understanding of topology and linear algebra from the ground up.

AI & Quantum Ready

This math is the "operating system" of the future. Grasp the language behind ML generalization and quantum algorithms.

Think Like a Mathematician

With bi-weekly homework and fully worked solutions, you won't just watch—you will prove, solve, and create.

Cohort Schedule

Start now to bridge the gap before the main material begins.

Action Required

February Prep Series

Don't fear the math. We start with a dedicated Logic & Proofs bridge to get you comfortable with notation and set theory before the main track.

Free with Early Bird Enrollment
Live Sessions + Instant Recordings

Main Track Kickoff

March 26, 2026

The official start of Abstract Maths 101. Live lectures begin, starting with the fundamentals of Topological Spaces.

Live Times:

1 PM GMT or 8 PM GMT

Syllabus at a Glance

Track A — Topology 101 (6 lectures)

The study of continuity and space. Essential for understanding data manifolds and analysis.

L1: Topological spaces, bases & subbases

L2: Continuity, homeomorphisms, product/subspace

L3: Separation axioms; Hausdorff & uniqueness of limits

L4: Connectedness & path‑connectedness

L5: Compactness (Heine–Borel, metric spaces)

L6: Quotients & glimpses of algebraic topology

Track B — Linear Algebra (6 lectures)

Moving beyond "matrices as boxes of numbers" to operators and spectral theory.

L1: Vector spaces, subspaces, span, basis, dimension

L2: Linear maps, matrices, rank–nullity

L3: Inner products, norms, orthogonality, projections

L4: Eigenvalues/eigenvectors, diagonalisation, SVD

L5: Normal, self‑adjoint, unitary/orthogonal; spectral theorem

L6: Groups of matrices; applications to ML & quantum

Track C — C*-Algebras (6 lectures)

The bridge between topology and algebra. The language of Quantum Mechanics.

L1: Banach algebras, involutions, and the C*- Algebras axioms

L2: Spectrum, self-adjoint/normal/unitary elements

L3: Positive elements, order structure, and approximate units

L4: Continuous Functional Calculus for normal elements

L5: States, positive linear functionals, and the GNS construction

L6: Irreducible representations, pure states, & Gelfand-Neumark Theorem

Frequently Asked Questions

What are the prerequisites?

A level of mathematical maturity is expected, but no prior Topology is required. To help you prepare, Early Bird enrollees get access to the February Prep Series, covering Logic and Proof Writing essentials.

What time are the live lectures?

You can join the session that works best for you: 1 PM GMT (Europe & Asia) or 8 PM GMT (Europe & North America).

What if I miss a lecture?

All sessions are recorded and available within 24 hours. You retain lifetime access to these recordings.

Ready for a mathematical transformation?

Join the March 26 cohort. Secure the 60% Early Bird discount and start your prep immediately.

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