Zero-Knowledge R&D
Research and protocol design for modern proof systems, from mathematical foundations to practical architectures.
- Proof-system architecture
- Polynomial commitments
- Sumcheck and FRI protocols
Independent research and development lab
Solve your hardest cryptographic and mathematical R&D problems.
Algorizk Labs provides specialized research, protocol design, formal verification, algorithm development, and rapid prototyping for companies working in zero-knowledge proofs, cryptography, and high-performance computing.
Core research areas
Zero-Knowledge Proof Systems
Polynomial Commitments
Sumcheck and FRI Protocols
Formal Verification with Lean 4
Hardware-Efficient Cryptography
Our expertise
Research depth across theory, protocols, and implementation.
Algorizk Labs works across the complete research cycle: defining the mathematical problem, designing the protocol, verifying critical components, and preparing the construction for efficient implementation.
Algorithm and Protocol Design
Original mathematical and algorithmic solutions for technically demanding research problems.
- Mathematical modeling
- Complexity reduction
- Experimental validation
Formal Verification
Machine-checked specifications and proofs for correctness-critical mathematical and cryptographic components.
- Lean 4 formalization
- Protocol correctness
- Verified mathematical components
Hardware Acceleration
Hardware-friendly protocol structures and implementation strategies for high-performance cryptography.
- FPGA implementation
- Finite-field arithmetic
- Hardware-software co-design
Services
Research engagements built around concrete results.
Each collaboration is structured around a defined technical question, clear deliverables, and a practical path forward.
Technical Research Assessment
A focused analysis of your technical problem, existing approaches, feasibility, risks, and recommended research direction.
Protocol and Algorithm Design
Original mathematical constructions, protocol components, complexity improvements, and formal technical specifications.
Research Sprint and Prototype
A time-boxed engagement producing experiments, prototype code, benchmarks, and a concrete technical recommendation.
Hardware and FPGA Acceleration
Hardware-friendly protocol design, finite-field arithmetic optimization, bottleneck analysis, and FPGA implementation strategy.
Fractional R&D Support
Ongoing senior research support for startups that need specialized expertise without building a full internal research team.
Research
Original research at the frontier of proof systems.
Our research combines mathematical structure, protocol design, and computational experimentation to develop new approaches to cryptographic proof systems.
Polynomial systems01
Kernel Polynomials
New representations and algorithms for multilinear polynomials, with applications to polynomial commitments and transparent proof systems.
Protocol research02
Sumcheck-FRI Connections
Research into structures connecting multilinear protocols with FRI-style folding, proximity testing, and post-quantum commitments.
Hardware acceleration03
FPGA-Accelerated Sumcheck
Hardware-friendly Sumcheck architectures designed to reduce prover bottlenecks through finite-field and FPGA optimization.
About Algorizk Labs
Senior research expertise without building a large internal lab.
Algorizk Labs was founded by Ali Mkhida to help technology companies access advanced mathematical and cryptographic R&D through a focused, independent research structure.
Ali works at the intersection of mathematics, cryptographic protocol design, and computational experimentation. His current research focuses on multilinear polynomials, Sumcheck, FRI, polynomial commitments, Lean 4 formalization, and hardware-efficient proof systems.
Each engagement combines direct senior involvement, rapid AI-assisted exploration, mathematical validation, and a practical path from theoretical formulation to implementation.
Multilinear polynomialsSumcheckFRIPolynomial commitmentsFormal verificationLean 4FPGA accelerationAI-assisted R&D
Start a conversation
Have a difficult research problem?
Tell us what you are trying to prove, optimize, or implement. We can begin with a focused technical assessment of the problem, risks, and possible research directions.
Screened inquiries
Submit a concise, non-confidential description through the dedicated project inquiry form.
Direct contact information and a secure communication channel can be provided after the initial inquiry has been reviewed.
Submit a project inquiry