Ph.D./Researcher Workflow

Role Overview:

We are seeking highly skilled and motivated mathematicians with a strong understanding of intermediate to advanced mathematical concepts and the ability to apply these concepts creatively to complex problems. This role is ideal for individuals who thrive in tackling challenging questions and have a passion for deep mathematical reasoning and problem-solving. We are hiring both individuals who are strong in undergraduate level mathematics and as well as those who are strong in masters/PhD level mathematics. Turing works with most of the leading LLM companies in the world today and your work will enable today’s leading LLMs to attain advanced mathematics proficiency.

Key Responsibilities:

Develop and implement advanced mathematical models and computational techniques to address complex problems across diverse mathematical domains. Collaborate with multidisciplinary teams on research initiatives, providing mathematical expertise and analytical insights. Review and engage with the latest mathematical literature, including cutting-edge research papers and emerging methodologies. Apply quantitative and computational approaches to analyze data, optimize models, and support innovative problem-solving strategies. Contribute to the advancement of research projects through rigorous mathematical reasoning and technical proficiency.

Desired Skills and Qualifications:

Bachelor’s, Master’s, or PhD degree in Mathematics or a closely related field, with strong expertise in one or more of the following areas: computable functions and mathematical logic, algebra and number theory, linear algebra and matrix theory, topology and geometry, real analysis, probability, and statistics. Proven ability to solve complex mathematical problems, demonstrated through research experience, publications, academic achievements, or project work. Knowledge of Python and data analysis tools is preferred, though not mandatory. Excellent analytical and critical thinking skills, with strong attention to detail and problem-solving capabilities. Strong communication skills, with the ability to explain complex mathematical concepts to both technical and non-technical audiences. Collaborative mindset with experience working in multidisciplinary teams on research-driven or project-based initiatives.

More details on required skills:

Candidates should demonstrate strong expertise in at least 4 of the following 7 domains, with broader coverage considered a significant advantage:

Computable Functions and Mathematical Logic Strong understanding of the theory of computation, computable functions, decision problems, and strategies for inferring functions from input-output relationships. Algebra and Number Theory Deep knowledge of algebraic structures, quadratic forms, signatures, prime numbers, Eisenstein series, and related concepts in number theory and their applications. Linear Algebra and Matrix Theory Proficiency in linear spaces, basis transformations, symmetric matrices, matrix equations, matrix diagonalization, and rank-related conditions. Topology and Geometry Understanding of vector bundles, cohomology, fundamental groups, commensurability, topological spaces, vector fields, and geometric proof techniques. Analysis Strong foundation in real analysis, including properties of functions almost everywhere, convergence concepts, continuity, and advanced analytical reasoning. Probability and Statistics Ability to apply probability theory to evaluate outcomes under varying conditions, along with experience using statistical techniques such as ANOVA for experimental and data analysis. Applied Mathematics Capability to apply mathematical reasoning and problem-solving techniques to practical scenarios, including logic-based and analytical challenges.

Offer Details Commitments Required: at least 4 hours per day and up to 40 hours per week with 4 hours of overlap with PST. Engagement type: Contractor

Evaluation Process

Shortlisted candidates will be sent a Job Interest Form. After the profile review, an assessment will be shared, which must be completed within 24 hours. Based on the assessment outcomes, shortlisted candidates will be contacted to schedule an interview.