QF Academy
Advanced mathematical training
Courses in abstract mathematics, group theory, topology, quantum computing, cryptography and machine learning foundations.
Visit QF AcademyQuantum Formalism (QF) · Since 2020
Advanced Mathematics, Taught and Applied
QF brings together advanced mathematical training, essays and lectures, STEM Ledger, and mathematical consulting.
Platforms
What QF does
STEM Ledger
Records of technical work
Structured records of technical projects and related output.
Explore STEM LedgerMathematical Consulting
Mathematical support for teams
Support for companies assessing papers and mathematical claims.
Contact usWriting and Discussion
Essays and lectures
We write and lecture on mathematics, AI, quantum computing, cryptography and education.
Read on SubstackMathematical Consulting
Training and review for technical teams
QF works with companies on mathematical questions arising in research and development. We provide tailored training, mathematical review of technical papers and support with research questions.
Internal training
Focused programmes in linear algebra, probability and other mathematical foundations relevant to a team's work.
Technical review
Reading technical papers, checking assumptions and assessing mathematical claims.
Capability building
Reading groups and structured study plans for developing mathematical foundations across teams.
Mission
Making abstract mathematics usable
QF began as an online mathematics community during the pandemic and has since developed into a broader mathematical organisation.
We focus on building the mathematical foundations needed to understand advanced ideas in depth and use them across research, technology and further study.
Community
QF at a glance
Mathematical Identity
Mathematics at the centre of QF
QF is built around advanced mathematics, from linear algebra, topology and group theory to differential geometry, quantum computing and machine learning. These subjects run through our teaching, writing and technical work.
Linear dynamics
\[
e^{tA}v=\sum_{k=0}^{\infty}\frac{t^k A^k v}{k!}.
\]
The matrix exponential describes evolution generated by a linear operator. It appears in linear differential equations, dynamical systems, representation theory and quantum mechanics.