Remote Mathematics Expert (PhD)

Turing, headquartered in San Francisco, California, is a leading research accelerator for frontier AI labs and a trusted partner for global enterprises deploying advanced AI systems. The company supports its clients by accelerating cutting-edge research through high-quality data, sophisticated training pipelines, and top AI researchers specializing in coding, reasoning, STEM, multilinguality, multimodality, and agents. Additionally, Turing helps enterprises transition AI from proof of concept to proprietary intelligence, delivering reliable systems that create measurable business impact and lasting results.

Key Responsibilities:
- Design original and challenging mathematics problems that push the reasoning capabilities of large language models, focusing on multi-step, abstract, and proof-based scenarios.
- Independently solve complex problems and produce detailed, logically structured solutions with clear justifications.
- Review and analyze model-generated solutions to identify mathematical errors or gaps, providing precise feedback, annotations, and corrections.
- Contribute to the development of new evaluation benchmarks aligned with Mathematics curricula ranging from early undergraduate to PhD-level topics.
- Develop and validate Python-based solutions for computational tasks using approved scientific libraries.
- Work on theorem-prover assignments using Lean, including translating mathematical problems and proofs into formal language and verifying that formal proofs compile correctly.
- Apply advanced mathematical reasoning, problem-solving, computational thinking, and clear written communication to improve and evaluate large language models.
- Design precise, closed-ended prompts and write reliable Python code while verifying numerical answers and providing clear rationales.
- Leverage AI tools to enhance analytical skills and future-proof your career in an AI-first world.

Required Qualifications:
- Strong foundation in mathematics, equivalent to the level expected in engineering entrance exams and graduate or PhD-level programs.
- Ability to break down complex mathematical concepts into simple, clear explanations.
- Excellent research and analytical skills.
- Ability to provide constructive feedback and detailed annotations.
- Creative and lateral thinking abilities.
- Excellent structured communication and collaboration skills, especially in a remote work environment.
- Self-motivated and capable of working independently.
- Access to a desktop or laptop with a reliable internet connection.

Preferred Qualifications and Benefits:
- Candidates pursuing or holding a Master’s, Ph.D., or Postdoctoral degree in Mathematics, Applied Mathematics, Statistics, or related fields are encouraged to apply.
- Proven ability to analyze and solve complex mathematical problems using a structured and logical approach.
- Skilled at explaining mathematical concepts clearly through simple language, visuals, and examples.

Benefits of Freelancing with Turing:
- Fully remote work environment offering flexibility and convenience.
- Opportunity to contribute to cutting-edge AI projects with leading large language model companies.
- Potential for contract extension based on performance and project requirements.

Offer Details:
- Minimum commitment of 4 hours per day and at least 20 hours per week, with a required 4-hour overlap with Pacific Standard Time (PST). Options for 20, 30, or 40 hours per week are available.
- Engagement as a contractor/freelancer without medical or paid leave benefits.

This role offers a unique opportunity to work at the intersection of advanced mathematics and artificial intelligence, helping shape the future of AI systems while developing your own expertise in a rapidly evolving field.