Pure Mathematics and AI Trainer

Pure Mathematics and Lean 4 Specialist – Freelance AI Trainer Project

Are you a theoretical mathematics expert eager to shape the future of AI? Large-scale language models are rapidly advancing, and their ability to handle rigorous proof-based reasoning depends on high-quality mathematical training data. With your advanced expertise, tomorrow’s AI can better understand abstraction, logic, measure theory, homotopy, and the deep structures of modern mathematics. That training data begins with you - your insight will help power the next generation of AI.

Role Overview

We’re looking for specialists with deep foundations in pure mathematics who can engage with advanced topics across probability theory, measure theory, real and functional analysis, optimization, abstract algebra, and category theory. Coupled with this deep foundation, we need each expert to have a normalized fluency in Lean 4, the proof assistant and programming language.

Responsibilities

• Construct and evaluate complex proofs.
• Substantiate the mathematical reasoning for correctness and rigor while identifying subtle conceptual or logical failures.
• Translate mathematical material to successfully build in .lean syntax.
• Collaborate with the team to refine prompts, evaluation frameworks, and mathematical reasoning benchmarks.

Qualifications

• Candidates fluent in Lean 4 with an in-progress or freshly earned PhD or current PostDoc experience in pure mathematics are ideal.
• A strong command of core areas is required, and applicants should be comfortable with topics such as Markov’s and Chebyshev’s inequalities, Hoeffding bounds, convergence theorems, the Carathéodory extension theorem, the Riesz representation theorem, Banach–Alaoglu, Lax–Milgram, stochastic approximation, Van Kampen’s theorem, the Yoneda embedding, and representability in cohomology.
• Clear, metacognitive communication (explicitly articulating reasoning and proof strategies) is essential.

Compensation and Benefits

We offer a pay range of $35 to $65 per hour, with the exact rate determined after evaluating your experience, expertise, and geographic location. Final offer amounts may vary from the pay range listed above. As a contractor, you’ll supply a secure computer and high-speed internet; company-sponsored benefits such as health insurance and PTO do not apply.

Key skills/competency

• Pure Mathematics
• AI Training
• Lean 4
• Proof Construction
• Mathematical Reasoning
• Measure Theory
• Functional Analysis
• Abstract Algebra
• Category Theory
• Language Models