QF Academy
Advanced mathematical training
Live and guided study in abstract mathematics, group theory, topology, quantum computing, cryptography, and machine learning foundations.
Visit QF AcademyQuantum Formalism (QF) · Since 2020
Advanced Mathematics for Technical Leadership
Quantum Formalism (QF) develops advanced mathematical training, public essays, and tools for recording technical work across AI, quantum computing, cryptography, and scientific technology.
Mathematical training, essays, problem sheets, and technical records.
Platforms
Four parts of one mathematical project
QF brings together advanced mathematical training, public writing, technical records, and consulting for teams working with difficult mathematical ideas.
STEM Ledger
Structured records for technical work
A place to keep projects, papers, repositories, notes, and other evidence of technical output without turning the process into a social-media feed.
Explore STEM LedgerMathematical Consulting
Internal mathematical capability for technical teams
Support for companies that need to read difficult papers, evaluate technical claims, design mathematically sound training, or build shared mathematical language across a team.
Contact usWriting and Discussion
Essays, lectures, and public discussion
We write about mathematics, AI, quantum computing, cryptography, education, and the discipline needed to check technical claims.
Read on SubstackMathematical Consulting
Build mathematical capability inside your team
Many technical teams can use advanced tools before they have a shared mathematical language for judging them. QF helps companies strengthen that layer through focused training, reading groups, technical reviews, and bespoke mathematical support.
Internal training
Short programmes for teams that need foundations in areas such as linear algebra, probability, optimisation, topology, group theory, quantum computing, cryptography, or machine learning mathematics.
Technical review
Support with reading papers, checking assumptions, reviewing mathematical claims, and turning complex material into clear internal notes.
Capability building
Help teams develop a shared mathematical vocabulary so researchers, engineers, and decision-makers can reason together more effectively.
Mission
Making abstract mathematics usable
QF began during the pandemic as an online mathematics community. It has grown into a home for mathematical training, essays, lectures, technical records, and consulting.
The common thread is simple: people working with advanced technology need more than software familiarity. They need enough mathematics to read hard arguments, test claims, and build responsibly.
Community Proof
Built through teaching, writing, and community
Mathematical Identity
Mathematics should be present, not ornamental.
We do not use formulas as decoration. If mathematics appears on this site, it should be correctly written and connected to subjects we actually teach.
Linear dynamics
\[
e^{tA}v=\sum_{k=0}^{\infty}\frac{t^k A^k v}{k!}.
\]
This is the exponential of a linear operator acting on a vector. It appears in linear differential equations, dynamical systems, representation theory, and quantum mechanics.