Remote Research Mathematician Jobs in New York (NOW HIRING)

Specialised Part-Time Consulting Opportunity for PhD-Level Applied MathematiciansWe are sharing a specialised part-time consulting opportunity for PhD-level applied mathematicians with strong expertise in scientific computing, numerical methods, computational modelling, and research-grade programming.

This role focuses on designing original, executable research problems based on authentic mathematical and computational workflows. Selected experts will create challenging coding-based problems across numerical linear algebra, computational mechanics, and computational finance, develop rigorous reference solutions and grading criteria, and refine tasks through systematic testing.

Key ResponsibilitiesApplied Mathematics Problem DesignDevelop original research-level computational mathematics problemsBuild tasks from published papers, public datasets, open-source repositories, or independently designed scenariosCreate problems requiring multi-step mathematical and computational reasoningEnsure tasks reflect realistic scientific or quantitative workflows rather than standard textbook exercisesDesign problems with precise, reproducible, and mathematically defensible solutionsNumerical Linear AlgebraDevelop computational tasks involving matrix methods, numerical solvers, decompositions, and large-scale linear systemsDesign problems requiring careful consideration of numerical stability, conditioning, convergence, and computational efficiencyEvaluate alternative numerical approaches and their limitationsIncorporate realistic edge cases and failure modesValidate numerical results using reproducible codeComputational MechanicsCreate mathematical modelling and simulation tasks involving mechanics where relevantDevelop problems requiring numerical treatment of physical systems, discretisation, or equation solvingEvaluate modelling assumptions, boundary conditions, and computational accuracyDesign tasks requiring interpretation of numerical simulation resultsEnsure mathematical formulations remain consistent with the underlying physical problemComputational FinanceDevelop quantitative tasks involving financial modelling and numerical methodsCreate scenarios requiring simulation, optimisation, pricing, or quantitative risk analysisEvaluate assumptions and numerical methods used in financial computationsDesign problems where correct conclusions depend on both mathematical rigour and computational implementationValidate outputs against authoritative reference calculationsScientific ProgrammingWrite and validate computational workflows using Python or RDevelop numerical implementations, reference calculations, and solution validatorsDebug scientific code and identify implementation or numerical errorsBuild reproducible workflows suitable for automated testingEnsure code accurately implements the underlying mathematical specificationReference Solutions & Grading CriteriaProduce authoritative reference solutions and supporting calculationsDefine clear criteria for determining whether a solution is correctIdentify essential mathematical reasoning, computational steps, and numerical outputsDevelop grading logic capable of distinguishing correct solutions from plausible but flawed approachesEnsure evaluation standards remain precise and consistently applicableTesting & Difficulty CalibrationTest tasks against advanced computational systemsAnalyse failure modes and identify where reasoning or implementation breaks downRefine prompts, inputs, constraints, and expected outputs based on testingAdjust problem difficulty while preserving mathematical validityFinalise tasks only when they reliably require advanced quantitative and computational expertiseResearch Engineering WorkflowWork through a Git/GitHub pull-request workflowRun and validate code in Docker-based environmentsRespond to automated quality checks and reviewer feedbackMaintain clean, reproducible code and supporting documentationCollaborate effectively within structured scientific software workflowsIdeal ProfilePhD required in Mathematics, Applied Mathematics, Computational Mathematics, or a closely related fieldDemonstrated depth in at least two of the following: Numerical linear algebraComputational mechanicsComputational financeStrong working proficiency in Python or RHands-on experience using programming for mathematical modelling, numerical analysis, simulation, or quantitative researchComfortable with Git/GitHubExperience running code in Docker or other containerised environmentsStrong understanding of numerical accuracy, computational reproducibility, and scientific validationAbility to translate advanced mathematical concepts into clearly defined computational problemsPeer-reviewed publications are advantageousPrior scientific software or research engineering experience is highly valuedStrong written communication and ability to document mathematical assumptions, methods, and solutions preciselyEngagement DetailsPart-time independent contractor engagementFully remote20+ hours per weekInitial duration of approximately 6 weeksImmediate startCompensation: Up to $60/hourWork includes computational problem design, scientific coding, reference-solution development, grading criteria, testing, and task refinementProjects may be extended, shortened, or concluded based on project needs and performanceWork must be completed without using confidential or proprietary information belonging to any employer, client, institution, or other third partyH1-B and STEM OPT support is unavailable for this engagementAbout the PlatformThis opportunity is available through 24-MAG LLC. We connect experienced professionals with remote consulting opportunities across technical, evaluation, and project-based workstreams.

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