Mathematical Physicist, PhD
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Job Description
Mathematical Physicist solving and reviewing research-level physics problems for Mercor’s CritPt benchmark. Producing publication-grade reasoning to train and evaluate frontier AI systems.
Responsibilities:
- Work on research-level physics problems in the candidate's own subfield
- Create, solve, review, or audit problems depending on publication-record fit
- Produce complete written reasoning that another specialist can independently follow and verify
- Apply specialized methods in special functions, integrable systems, permutation combinatorics, or conformal geometry
- Provide up to five selected areas of fit with proof from the candidate's own papers
- Participate in direct onboarding or a short live alignment call to agree on the area and assignment
- Complete a brief 30- to 45-minute assessment if required
- Contribute to CritPt, a benchmark testing whether frontier AI models can perform genuine physics research reasoning
- Work asynchronously on projects supporting training and enhancement of AI systems
Requirements:
- PhD in mathematical physics, theoretical physics, or mathematics (hard requirement)
- Postdoctoral researchers, research scientists, and junior faculty are strongest fits
- Senior PhD students with a strong first-author record may apply
- Published work on at least one of the specified phenomena, not an adjacent topic
- Verifiable publication record with three to five representative papers, including arXiv IDs or DOIs; first author strongly preferred
- Publications must demonstrate relevant special-function analysis, integrability, combinatorial, or geometric methods
- Working proficiency with LaTeX, Python, SymPy, and Jupyter
- Some familiarity with an agentic coding extension in VS Code is useful
- English proficiency at B2 or above, including written reasoning
- Must be able to commit 10 hours per week across an 8- to 10-week window, starting immediately
- Independent contractor engagement
- H1-B and STEM OPT candidates cannot be supported
Benefits:
- Remote and asynchronous work with no fixed hours
- Flexible schedule
- Weekly payments via Stripe or Wise
- Projects may be extended, shortened, or concluded early depending on needs and performance
- Reasonable accommodations upon request
- Opportunity to collaborate with leading researchers
- Opportunity to help shape the next generation of AI systems
- Referral payments of up to $440 per successful referral, subject to referral limits
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