Mathematician, Foundation Team

Hilbert's AI

$80K — $120K *
Education, Government & Non-Profit
Less than 5 years of experience
Job Overview by Ladders

Qualifications

  • New graduate or entry-level mathematician, no prior experience required
  • Strong knowledge of set theory and mathematical logic
  • Passion for mathematics and foundational problems
  • High energy and open-minded approach to business inquiries
  • Ability to articulate complex mathematical concepts clearly

Responsibilities

  • Collaborate with CEO and Chief of Staff to develop foundational systems
  • Use set theory and mathematical logic to formalize growth concepts
  • Identify aspects that resist formalization, maintaining clarity between provable and empirical
  • Apply formal systems to customer use cases, enhancing their applicability
  • Work closely with product, engineering, and data science teams to integrate formal systems into products
  • Serve as the primary expert on Hilbert's logic and foundational system

Benefits

  • Unique role performing foundational mathematics in a cutting-edge AI environment
  • Direct interaction with senior leadership including CEO
  • Founding position in an internal team with potential for influence
  • Competitive compensation and equity options
Full Job Description
You will:
  • 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
What We Are Looking For
  • 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
What You Will Get
  • A rare position: doing foundational mathematics inside a fast-moving AI company, with real datasets, real customers, and real stakes
  • Direct daily exposure to the CEO and leadership
  • A founding seat on a new internal team, with room to shape its direction
  • Competitive compensation and equity
How to Apply

Send your resume along with a short note about the mathematical work you are most proud of: a thesis, a proof, a problem you could not let go of. We read every application.

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