Mathematician, Foundation Team
Entry-level mathematician on the Foundation Team formalizing growth concepts with set theory, axioms, and proofs for an AI-native growth intelligence platform. Applies formal systems to customer use cases while mapping empirical boundaries; works directly with CEO.
About the job
Responsibilities
- Work directly with the CEO and Chief of Staff on designing and building Hilbert's foundational system, from axioms up.
- Formalize growth concepts using set theory and mathematical logic, and prove what can be proven.
- Map what resists formalization, and keep the boundary between the provable and the empirical explicit.
- Apply the formal system to active customer use cases, expanding its coverage with every engagement.
- Coordinate closely with product, engineering, and data science teams to make the formal system usable in the product.
- Become the go-to expert on Hilbert's logic and foundation system, knowing it inside out.
Requirements
- New graduate or entry-level mathematician; no prior industry experience required.
- Undergraduate-level (or deeper) knowledge of set theory, mathematical logic, and mathematical foundations. A background specifically in set theory is preferred.
- Eager to learn, genuinely passionate about mathematics and foundational problems.
- High energy and open-minded toward business questions.
- Ready to rethink how businesses approach growth problems at the most fundamental level.
- Ability to write clean, precise mathematical exposition.
Skills
Set Theory, Mathematical Logic, Mathematical Foundations, Proof Theory, Mathematical Exposition
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