# Mathematician, Foundation Team

**Company:** [Hilbert](https://hotfix.jobs/companies/hilbert)
**Location:** San Francisco, CA
**Role:** Other
**Experience:** 0+ years
**Skills:** set theory, mathematical logic, mathematical foundations, proof theory, mathematical exposition
**Posted:** 2026-07-07

> 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.

## Job Description

## 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.

## Similar roles

- [Operations Analyst, Safety](https://hotfix.jobs/jobs/c9596fd3-542a-4907-b50f-b8c86b0d404a) - Thinking Machines Lab - San Francisco, CA - $190k – $300k/yr
- [Change Manager](https://hotfix.jobs/jobs/615be189-33ea-48a4-ae9d-04f508d825e8) - Navan
- [BGC Compliance Specialist](https://hotfix.jobs/jobs/ef5c4fdb-eeaf-466c-94f2-571422cc96d8) - Instacart - Remote - $23 – $29/hr
- [Business Systems Analyst, Enterprise Applications](https://hotfix.jobs/jobs/f4de7d8b-f885-449f-b4e5-d8406f739502) - Cribl - Remote - $79k – $124k/yr
- [Field Operations Specialist](https://hotfix.jobs/jobs/1ff039b0-5338-4d1f-a784-257c24b89ade) - NODA AI - Austin, TX

**Apply:** https://hotfix.jobs/jobs/07720cc8-3123-4042-a615-87434a99ae4a
**Canonical:** https://hotfix.jobs/jobs/07720cc8-3123-4042-a615-87434a99ae4a