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Revolutionary Mathematical Innovation

Where Mathematics Meets the Future

We integrate pure mathematics with emerging technologies such as artificial intelligence, blockchain, quantum computing, and more to develop novel, practical solutions with impact.

$$\int f \,\mu = \int \Re{f} \,\mu + \mathrm{i} \int \Im{f} \,\mu.$$

About Zaiku

Innovation Through Mathematical Excellence

We are a syndicate of mathematicians, researchers, and engineers pushing the frontiers of pure mathematics and deep tech.

Zaiku Group collaborates with ambitious researchers and innovators to co-create products and services at the convergence of Pure Mathematics and Emerging Technologies. This unique fusion empowers us to create unparalleled products with industry-leading performance, privacy preservation, and scalability.

Our commercial R&D interests span Quantum Computing, Artificial Intelligence, Blockchain Applications, Distributed Algorithms, and Homomorphic Encryption. We work on stealth projects until we're ready to share tangible, ground-breaking results.

Our name derives from the Japanese Yosegi-Zaiku puzzle box, reflecting the intricate craftsmanship and creativity at the heart of our work.

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Core Research Areas
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Collaborating Partners
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Incubated Spin-outs
Possibilities
$$\array{ && im (\phi_n) &&\to&& ker (\phi_{n-1}) \\ & \nearrow && \searrow && \swarrow \\ \Omega_{n+1} &&\stackrel{\phi_n}{\to}&& \Omega_n &&\stackrel{\phi_{n-1}}{\to}&& \Omega_{n-1} \\ & && \swarrow && \searrow && \nearrow \\ && coker (\phi_n) &&\stackrel{}{\to}&& im (\phi_{n-1}) }.$$
Pure Mathematics

The Foundation of Innovation

We exploit concepts from many branches of pure mathematics to create game-changing technology products.

Abstract Algebra

Leveraging group theory, ring theory, and field theory to develop advanced cryptographic protocols resistant to quantum computers.

Algebraic Topology

Applying topological invariants and homological methods to understand complex network structures and data patterns.

Functional Analysis

Using operator theory and spectral analysis to optimise machine learning algorithms and quantum computation frameworks.

Differential Geometry

Employing manifold theory and tensor calculus to enhance AI model architectures and optimisation landscapes.

Category Theory

Utilizing functors, natural transformations, and categorical structures to design composable software architectures and type systems.

Differential Topology

Exploring smooth manifolds and diffeomorphisms to model continuous transformations in machine learning and dynamical systems.