Formal Mathematician

Il y a 2 jours

France mercor Télétravail Temps plein 111 000 € - 135 000 €/an

About the job

Mercor connects elite creative and technical talent with leading AI research labs. Headquartered in San Francisco, our investors include Benchmark , General Catalyst , Peter Thiel , Adam D'Angelo , Larry Summers , and Jack Dorsey .

Position Details

Position: Lean Engineer, Formal Mathematics (Lean 4, Mathlib, Theorem Proving)

Type: Contract

Compensation: $90–$110/hour

Location: Remote

Commitment: 20–40 hours/week

Role Responsibilities

  • Write correct, idiomatic Lean 4 statements and proofs that compile against current mathlib . Cover areas such as algebra, analysis, number theory, combinatorics, and logic.
  • Formalize natural-language mathematics from competition problems and textbook results to research-level lemmas. Ensure the formal statement matches the original.
  • Review AI-generated Lean statements and proofs. Identify failures or incorrect proofs and provide clear, specific written feedback.
  • Help define guidelines and rubrics for proof quality, statement fidelity, and mathlib conventions.
  • Collaborate with other Lean engineers and the lab's researchers to maintain consistent standards and elevate quality.

Qualifications

Must-Have

  • Hands-on experience writing formal proofs in Lean 4 . Examples include mathlib contributions, a formalization project, or a Lean library or tool.
  • Comfort with mathlib and Lean 4 tactics. Ability to find and use the right lemmas.
  • Strong background in proof-based mathematics, theoretical computer science, or logic through a degree or research record.
  • Ability to turn a written statement and proof into a correct formal statement and a proof that checks.
  • Engage reliably for at least 20 hours/week during weekdays.
  • Clear written communication and ability to explain proof strategy and formalization choices precisely.

Preferred

  • Experience with other proof assistants or dependently typed languages ( Coq/Rocq , Isabelle , Agda , Haskell ).
  • Experience with Lean metaprogramming or AI-for-math work such as LLM provers , Lean agent environments, or benchmarks like miniF2F , ProofNet , or PutnamBench .

Compensation & Legal

  • W-2 employment with Cincinnatus LLC .
  • Equal Employment Opportunity employer.