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Mercor

Mathematical Physicist – PhD

Mercor

. Work on research-level physics problems in the worker's own subfield .

Posted 10/11/2026contractRemote • United StatesMid-LevelSenior💰 $80 - $110 per hourWebsite

Core Competencies

Role fit
Core Competencies

Use this summary to align your resume positioning with the role.

Demonstrates expertise in mathematical physics and theoretical physics, with a strong publication record in relevant research areas such as special functions, integrable systems, and permutation combinatorics. Proficient in applying mathematical and computational methods, including symbolic computation, while effectively communicating complex reasoning in written form.

Highest-signal resume keywords
PhD In Mathematical PhysicsPublished Work On Specific Listed PhenomenaWorking Proficiency With LaTeXPython ProgrammingDemonstrated Methods In Publications

ATS Keywords

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Applicant Tracking System Keywords

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Hard Skills
Mathematical PhysicsTheoretical PhysicsSymbolic ComputationSpecial FunctionsIntegrable SystemsPermutation CombinatoricsConformal GeometryResearch Problem SolvingPublication Record VerificationWritten Reasoning
Soft Skills
CollaborationIndependent WorkCommunication
Tools & Technologies
LaTeXPythonSymPyJupyterVS Code
Certifications & Qualifications
PhD In Mathematical PhysicsPhD In Theoretical PhysicsPhD In Mathematics
Industry Keywords
Research-Level Physics ProblemsRandom Tensor Network EntanglementAgentic Coding ExtensionArXiv IDsDOIs

Tech Stack

Tools & technologies
Python

About the role

Key responsibilities & impact
  • Work on research-level physics problems in the worker's own subfield
  • Create, solve, review, or audit physics problems depending on publication record and matched research area
  • Produce complete written reasoning that another specialist can independently follow and verify
  • Work on assignments involving special functions, integrable systems, permutation combinatorics for random tensor network entanglement, or conformal geometry
  • Apply relevant mathematical and computational methods, including symbolic computation
  • Complete an application form covering education, research experience, method self-attestation, and best-fit areas
  • Provide arXiv IDs or DOIs, author position, and demonstrated methods for selected areas
  • Participate in onboarding or a short live alignment call if invited
  • Complete a 30–45 minute assessment if required
  • Collaborate with leading researchers on projects training and enhancing AI systems

Requirements

What you’ll need
  • 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 the specific listed phenomena, not adjacent topics
  • Verifiable publication record with three to five representative papers, including arXiv IDs or DOIs; first author strongly preferred
  • Ability to demonstrate relevant methods in own publications
  • Working proficiency with LaTeX, Python, SymPy, and Jupyter
  • Some familiarity with an agentic coding extension in VS Code is useful; gaps are acceptable if declared honestly
  • English at B2 level or above, including written reasoning
  • Availability for 10 hours per week across an 8 to 10 week window, starting immediately
  • Independent contractor engagement
  • Unable to support H1-B or STEM OPT candidates
  • Must provide author position and methods demonstrated for each selected research area
  • Research areas include special functions, integrable systems, permutation combinatorics for random tensor network entanglement, and conformal geometry

Benefits

Comp & perks
  • Flexible schedule with no fixed hours
  • Fully remote work
  • Weekly payments via Stripe or Wise based on services rendered
  • Projects may be extended, shortened, or concluded early depending on needs and performance
  • Competitive pay
  • Opportunity to collaborate with leading researchers
  • Opportunity to help shape the next generation of AI systems
  • Reasonable accommodations upon request
  • Up to $440 referral payment for successful referrals