Advanced Maths = Your New Career Advantage

Go beyond the traditional academic curricula. Our industry-driven curriculum, led by PhDs in mathematics, are designed from the ground up to equip you with the advanced mathematical skills required to tackle the most complex challenges in fundamental science, applied research, and frontier technologies.

$$\mathcal{A}_\omega:=\ell^1(S,\omega)= \{ \alpha=\sum_{s\in S} \alpha(s) \delta_s: \|\alpha\|_\omega = \sum_{s\in S} |\alpha(s)|\omega(s) <\infty \}.$$
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Applied Topics

Mathematics is the universal language of science and innovation. Discover how the advanced mathematical concepts we teach are powering breakthroughs across a wide spectrum of advanced research and emerging technologies. Below are some of the topics in science and technology that our existing community members love.

Artificial Intelligence

We have members joining us because they are working on sophisticated models in deep learning and optimisation, grounded in Functional Analysis, Measure Theory and advanced probability to create robust, intelligent systems.

Quantum Computing

We have members joining us to master the principles of Functional Analysis and Lie Theory to create and analyse cutting-edge quantum algorithms and error correction codes.

Condensed Matter Physics

We have members joining us to because they are researching exotic phases of matter by applying concepts from Algebraic Topology to understand complex quantum many-body systems.

Bioinformatics

We have members joining us to learn Topological Data Analysis (TDA) and advanced statistics to analyse genomic sequences, model protein folding, and accelerate drug discovery.

Cryptography

We have members joining us to learn Abstract Algebra and Number Theory to help them design secure communication protocols and next-generation, post-quantum encryption.

Advanced Computer Science

We have members joining us because of their work on provably correct software through formal verification and functional programming, leveraging concepts from Category Theory, Logic and Algebraic Geometry.

Computational Chemistry

We have members joining us because of their work on molecular structures and reaction dynamics using principles from Differential Geometry and Group Theory, essential for drug design and materials science.

Computational Physics

We have members joining us because their work utilise Partial Differential Equations and Numerical Analysis to build complex simulations of physical phenomena, from fluid dynamics to cosmology.

Financial Modeling

We have members joining us to leverage strong foundations on Real Analysis, Measure Theory, and Stochastic Analysis to perform quantitative analysis, model market behavior, and manage risk.

What Our Learners Say

Claudia Zendejas-Morales
I'm especially grateful to Brian Hepler, PhD, for his exceptional teaching and to the QF Academy team, particularly Bambordé Baldé, for providing such a high-quality learning experience. It's not often you find a course that combines advanced theory with real-world quantum applications so effectively.

Claudia Zendejas-Morales

Physicist

Senaka Samarasekera
Thank you to Quantum Formalism for making abstract mathematics more accessible to industry-based researchers. It's been a rewarding experience exploring the different phases.

Senaka Samarasekera

AI ML Algorithms and Signal Processing Engineer

Hanseul Kim
This course significantly improved my understanding of proof-based linear algebra, provided valuable feedback from PhD mathematicians, and enhanced my English speaking skills.

Hanseul Kim

Deep Learning Researcher

Dave Jones
This was my first foray into doing proper metric topology while proving everything as we went along. Everyone with whom I participated was very welcoming and enthusiastic. The end result was a very rewarding experience.

Dave Jones

VP, Lead Software Engineer

Choose Your Plan

All plans include full access to our on-demand course library and community.

Lone Wolf Hacker

$30 / month

Perfect for self-driven individuals.

  • Personalised onboarding
  • Access to all self-paced courses
  • Certificate of completion
  • Access to all Live Bootcamps
  • Access to QF Academy workshops
  • Community forum access
  • QF Academy hackathons
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Career Hacker

$70 / month

For professionals seeking career growth.

  • Everything in Lone Wolf Hacker, plus:
  • Assignments feedback
  • Group office hours
  • Career boosting services
  • QF Academy web profile
  • Access to Q-Activate network
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All-time Popular

Professional Growth

$100 / month

For dedicated researchers and leaders.

  • Everything in Career Hacker, plus:
  • QF open source microgrants
  • Research mentorship
  • Personalised workshops
  • Bespoke career mentorship
  • Industry networking events
Choose Plan

Why QF Academy?

We bridge the gap between advanced mathematical subjects and the practical skills demanded by top technology companies in AI, quantum computing, and beyond.

Taught by PhD Experts

Learn directly from PhD mathematicians and industry professionals who bring both deep theoretical knowledge and real-world application experience to every course.

Industry-Focused Curriculum

Our curriculum is designed in collaboration with technical industry leaders to teach you the most relevant mathematical concepts used across modern science and technology.

Career-Driven Outcomes

Go beyond theory. Our outcomes-driven approach, backed by a success guarantee, is focused on equipping you with the skills to secure new opportunities in your career.

Connect with a Global Network

Your journey into advanced mathematics is a shared one. Tap into a vibrant ecosystem of peers, mentors, and experts pushing the frontiers of science and technology.

8,000+ Strong and Growing

As a member, you gain access to our exclusive network, including our Substack community of over 8,000 researchers, engineers, and lifelong learners. Collaborate on projects, ask questions, and grow your professional network.

Explore Our Community

Who Should Join QF Academy?

Our programs are designed for individuals at various stages of their careers who share a common goal: to master advanced mathematics for professional growth that unlocks new career opportunities. We welcome people who want to achieve ambitious goals!

Academic & Industry Researchers

For those needing to refresh their mathematical foundations or dive into specialised topics to push the boundaries of their research projects.

Graduate Students

For students seeking a self-paced, supportive way to learn the specific math required for their thesis and to prepare for a successful career in academia or industry.

Industry Professionals

For software engineers, data scientists, and other tech professionals looking to upskill with advanced mathematical tools to unlock new career opportunities and lead innovative projects.

Lifelong Learners

For passionate individuals who love mathematics and desire a structured, engaging environment to continue their learning journey with expert guidance.

How It Works

Start with a clear, supportive, and personalised path to success.

Learn, Succeed, or Get Refunded

Our outcomes-driven approach ensures you are actively building practical skills. We are so confident in our curriculum that we offer an industry-first success guarantee.

Our Success Guarantee:

🚀 Complete one of our specialisation courses

🎯 Apply skills for 8 weeks after completion

💼 If you don't secure a job, fellowship, or meaningful new opportunity

💰 We'll give you a full refund.

To our knowledge, we're the only e-learning platform offering this kind of outcomes-driven guarantee because we believe in the value we provide.

Trusted by top professionals at leading companies

And top graduate students at leading universities