Research mathematician (PhD): proofs and problem design

HUMXN; United States; Remoto; USD 172.000 - 276.000; Tempo pieno

Descrizione del lavoro

Humxn invites mathematicians to tackle challenging problems at the level of qualifying exams and beyond. You will author rigorous problems and solutions, verify model-generated proofs, and locate precise failure points.

The role emphasizes constructing counterexamples and evaluating the quality of competing proofs. Ideal candidates hold a PhD in mathematics or a closely related field, with postdoctoral or faculty experience a plus.

Competenze

• PhD in mathematics or closely related field.
• Postdoctoral or faculty experience a plus.
• Competition or olympiad background welcome but not required.

Mansioni

• Author problems at the level of a qualifying exam and beyond and provide rigorous solutions.
• Verify model-generated proofs step by step and locate exact points of failure.
• Construct counterexamples to test conjectures and assess problem difficulty.
• Rate the quality and elegance of competing proofs and provide clear feedback.

Conoscenze

Proof writing

Proof verification

Counterexamples

Analytical thinking

Mathematical reasoning

Formazione

PhD in Mathematics

Descrizione del lavoro

Pay: $125-$200/hr

The work

Author problems at the level of a qualifying exam and beyond, with rigorous solutions; verify model-generated proofs step by step and locate the exact point of failure; construct counterexamples; rate the quality and elegance of competing proofs. Areas in demand: algebra, analysis, topology, combinatorics, number theory, probability, PDE and optimisation.

Who it suits

• PhD in mathematics or a closely related field; postdoctoral or faculty experience a plus.
• Competition or olympiad background welcome but not required.

How it works

• Apply with your CV and the hours you can give. 5 to 20 hours a week suits most people; the work is remote and on your own schedule.
• We verify your credentials, licence or degree and your identity before any paid work. Every piece of work traces to a named, verified expert.
• A paid calibration task on the project's own guidelines comes first.
• You are paid at the rate on this page for every hour of work that passes review. Rates rise with the difficulty of the project and your track record.

HUMXN is a new expert network (launched 2026). Payouts go through Stripe after identity and tax verification. Never pay to apply.