Mathematics Researcher (Part-time)

About the Role

Cincinnatus LLC — in partnership with Mercor — is recruiting accomplished research mathematicians to contribute to the development of next-generation AI systems capable of advanced mathematical and scientific reasoning.

Contributors will work with leading AI research laboratories to create, review, and evaluate highly sophisticated mathematical tasks at the level of active research mathematics. This is a remote, part-time W-2 position requiring 8–20 hours per week. Researchers will help train and evaluate frontier AI models across a wide range of pure and applied mathematics disciplines.

Pay: $90–$150/hr (based on research seniority and credentials)

Key Responsibilities

Mathematical Problem Authoring

• Create challenging research-level mathematics problems for AI training and evaluation
• Design tasks spanning advanced mathematical domains
• Develop problems that test deep reasoning rather than rote computation
• Produce rigorous solutions and evaluation criteria

Model Evaluation

• Review AI-generated mathematical solutions
• Assess proof correctness, rigor, and completeness
• Evaluate mathematical reasoning and logical validity
• Identify subtle mathematical errors and invalid arguments

Proof Verification

• Analyze proof construction and formal reasoning
• Detect unsupported assumptions and missing justifications
• Verify theorem applications and logical deductions
• Review formalization quality and mathematical precision

Failure Analysis

• Identify weaknesses in current AI mathematical reasoning
• Document common model failure patterns
• Highlight incorrect but plausible-looking proofs
• Surface reasoning gaps that expert mathematicians would recognize

Supported Mathematical Domains

Pure Mathematics

Number Theory, Algebra, Algebraic Geometry, Topology, Logic, Representation Theory, Combinatorics

Analysis & Applied Mathematics

Real Analysis, Complex Analysis, Functional Analysis, Partial Differential Equations (PDEs), Dynamical Systems, Probability Theory, Mathematical Physics

Adjacent Fields

Theoretical Computer Science, Statistics, Advanced Algorithms, Formal Methods

Required Qualifications

Research Credentials

Candidates should demonstrate research accomplishments comparable to:

• First-author or sole-author publications in top mathematics journals
• Publications in leading specialty journals
• Significant contributions to mathematical research

Academic Background

• PhD Candidate, PhD, Postdoctoral Researcher, Faculty Member, Research Scientist, or equivalent
• Training from leading global mathematics or STEM institutions preferred
• Outstanding senior PhD students encouraged to apply

Technical Skills

• Proof writing and verification
• Mathematical reasoning and critical analysis
• Research methodology
• Technical communication

Preferred Qualifications

Publications

Experience publishing in journals such as: Annals of Mathematics, Inventiones Mathematicae, Journal of the AMS, Acta Mathematica, Duke Mathematical Journal, GAFA, Advances in Mathematics, Probability Theory and Related Fields

Honors & Fellowships

Clay Research Fellowship, NSF/Sloan/Packard/Simons Fellowships, Hertz Fellowship, New Horizons in Mathematics Prize, Salem Prize, Putnam Fellow, IMO medals

Engagement Details

• Employment: W-2 (via Cincinnatus LLC)
• Schedule: Part-time, 8–20 hours/week
• Location: Remote (United States)
• Duration: Ongoing
• Pay: $90–$150/hr based on credentials

About Cincinnatus LLC

Cincinnatus LLC is an enterprise staffing company that partners with leading technology organizations to place highly skilled professionals on advanced technical initiatives. Employees are hired directly by Cincinnatus and embedded within client teams working on high-impact research and development projects.