Mathematician, Foundation Team

Hilbert's AISan Francisco, CA

About The Position

The company, named after Hilbert's program, is building the foundations of growth intelligence for consumer companies. Hilbert is an a16z-backed, AI-native platform that helps large retailers and consumer brands understand and act on customer behavior at scale. The Foundation Team's mission is to formalize the repeatable and provable aspects of growth, define axioms, and establish proofs, while also identifying the boundaries of formalization. This role involves working directly with the CEO and Chief of Staff to design and build this foundational system, formalizing growth concepts using set theory and mathematical logic, and applying the formal system to customer use cases. The goal is to make the formal system usable within the product and to become the expert on Hilbert's logic and foundation system.

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.
  • 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

Nice To Haves

  • A background specifically in set theory is preferred

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

Benefits

  • Competitive compensation and equity
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