Mercor
MercorVerified listing
Remote

Statistical Physics & Thermodynamics Physicist (PhD)

80–110/hr
Remote
Posted September 25, 2026
hourly
3 openings
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Listing checked September 25, 2026 · pay as published by Mercor

Overview

Mercor seeks physicists to contribute to CritPt, a public benchmark that tests whether frontier AI models can reason through genuine physics research. You will work inside your own subfield, taking on one or more research-level problems around disordered spin models, replica methods, range expansions, lattice path enumeration, or two-dimensional conformal field theory. Assignments range from writing new problems and solving them to reviewing or auditing another specialist's work. Every deliverable must stand on its own, so clear written reasoning matters as much as the final answer. The benchmark paper, arXiv:2509.26574, gives a fast read on whether this work fits your interests.

What You'll Do8

  • 1Create new research-level physics problems tied to one panel area, such as Nishimori line physics or BPZ null-vector equations.
  • 2Solve assigned problems and document each argument so a specialist in the same subfield can verify it.
  • 3Review completed solutions from other physicists for method fit, completeness, and correctness.
  • 4Audit existing work when the team needs a second check on derivations or numerical results.
  • 5Select the panel areas that match your publication record and supply arXiv IDs or DOIs for your own papers.
  • 6Use LaTeX, Python, SymPy, and Jupyter to support derivations, checks, or problem statements.
  • 7Join a short live alignment call when Mercor needs to agree the area and assignment before onboarding.
  • 8Complete a brief 30 to 45 minute assessment if your application requires one.

Requirements9

  • 1PhD in statistical physics, mathematical physics, or a related field.
  • 2Published work on the specific phenomenon for your chosen panel, not just an adjacent topic in statistical physics.
  • 3Three to five representative papers from the last five years, with arXiv IDs or DOIs; first-author papers preferred.
  • 4Verifiable publication record that matches the public record.
  • 5Working skill with LaTeX, Python, SymPy, and Jupyter.
  • 6English at B2 or above, including written reasoning.
  • 7Proof in your own papers for at least one method family: exact lattice methods, replica and field-theoretic methods, asymptotic analysis, or conformal methods.
  • 8Familiarity with an agentic coding extension in VS Code is useful, not required.
  • 9Postdoctoral researcher, research scientist, junior faculty, or senior PhD student with a strong first-author record.

Who Should Apply

The strongest candidates hold a PhD in statistical physics, mathematical physics, or a related area and have published on one of the five phenomena listed for this panel. Postdocs, research scientists, junior faculty, and senior PhD students with first-author papers fit the work well because the assignments demand independent judgment and clear written proofs. Physicists whose papers sit in an adjacent area often get declined even when they know the methods. Mercor also scores a selection low when the applicant cannot attach an arXiv ID or DOI from their own paper, or when the stated author position and demonstrated methods do not line up with the public record.

Salary Insight

The rate runs from $80 to $110 per hour, with the final number based on how close your publication record matches the chosen subdomain. This is contract work at roughly 10 hours per week across an 8 to 10 week window, so the range reflects a senior research-level engagement rather than a full-time salary. No other compensation details appear in the source.

Location

Typeremote
LocationRemote
This is a remote position

Compensation

$80–110/hr

Required Skills

statistical physicsmathematical physicsdisordered spin modelsnishimori linequantum error correctiontopological orderrandom-bond ising modelkramers-wannier dualityashkin-teller modelpartition functionsentanglement entropyreplica trickgoldstone modesrange expansionslong-range dispersalfront propagationlattice path enumerationtransfer matrixconformal field theoryising minimal modelvirasoro algebrabpz equationsconformal blockscoulomb gasbosonizationlatexpythonsympyjupytervs code

Application Tip

Apply with three to five papers that connect to one of the five panels, and make each entry easy to verify by including the arXiv ID or DOI, your author position, and the exact methods from the required families. If you claim expertise in Kramers-Wannier duality, replica analytic continuation, or BPZ null-vector equations, point to where those methods appear in your own publications, since Mercor checks both topic match and method match against the public record.

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