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Mathematical Logic Phd Jobs (NOW HIRING)

campus4tech

Senior Electrical Design Engineer

Seattle, WA · On-site

$118K - $159K/yr

Integrated circuit design examples (power supply decision, cable build, circuit logic are examples ... PhD+4 years' related work experience, Master+7 years' related work experience). In the USA, ABET ...

Constellation Space

Principal Wireless Engineer

Seattle, WA · On-site

$150K - $250K/yr

Develop the mathematical models and algorithms that simulate complex SATCOM and terrestrial network ... You hold a PhD (or possess equivalent industry experience) in Physics, Electrical Engineering ...

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How much do mathematical logic phd jobs pay per hour?

As of Jun 29, 2026, the average hourly pay for mathematical logic phd in the United States is $29.61, according to ZipRecruiter salary data. Most workers in this role earn between $24.28 and $33.65 per hour, depending on experience, location, and employer.

What is the difference between Mathematical Logic Phd vs Data Scientist?

AspectMathematical Logic PhdData Scientist
Required CredentialsPhD in Mathematics or Logic, strong analytical skillsBachelor's or Master's in Data Science, Statistics, or related fields
Work EnvironmentAcademic, research institutions, or specialized think tanksCorporate, tech companies, or consulting firms
Industry UsageResearch, academia, theoretical developmentData analysis, machine learning, business insights
Common Search/ComparisonMathematical Logic Phd vs Data Scientist

The Mathematical Logic Phd typically focuses on theoretical research and academic roles requiring advanced mathematical and logical expertise. In contrast, a Data Scientist applies statistical and computational skills to analyze data and solve practical business problems. While both roles require strong analytical skills, their work environments and industry applications differ significantly.

What are the key skills and qualifications needed to thrive as a Mathematical Logic PhD, and why are they important?

To thrive as a Mathematical Logic PhD, you need advanced knowledge of mathematical logic, formal systems, set theory, and proof techniques, typically supported by a doctoral degree in mathematics or a related field. Proficiency with mathematical software (such as LaTeX, Coq, or Mathematica) and experience with academic research tools are highly valuable. Strong analytical thinking, perseverance, and clear written and verbal communication skills help you excel in both independent research and collaborative academic environments. These competencies are crucial for advancing theoretical understanding, producing publishable research, and contributing to the broader mathematical community.

What are the typical research and collaboration opportunities available to someone with a PhD in Mathematical Logic?

A PhD in Mathematical Logic opens doors to research positions in academia, technology companies, and research institutes, where collaboration is key. You may work as part of interdisciplinary teams with computer scientists, mathematicians, and philosophers on projects like formal verification, artificial intelligence, or foundations of mathematics. Challenges often include communicating complex ideas to those outside your specialty and balancing independent research with collaborative projects. These roles frequently provide opportunities to publish, attend conferences, and mentor students, fostering both personal growth and professional networking.

What is a Mathematical Logic PhD?

A Mathematical Logic PhD is a doctoral degree focused on the study of formal systems, reasoning, and the foundations of mathematics. Students in this program research topics such as set theory, model theory, recursion theory, and proof theory. Graduates often pursue careers in academia, research, or industry roles that require advanced logical reasoning and mathematical skills. The program typically involves coursework, comprehensive exams, and original research culminating in a dissertation.
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Mathematical Logic Phd jobs near you
Infographic showing various Mathematical Logic Phd job openings in the United States as of June 2026, with employment types broken down into 85% Full Time, and 15% Part Time. Highlights an 92% In-person, and 8% Remote job distribution, with an average salary of $61,586 per year, or $29.6 per hour.

Mathematician - Formal Proof & AI Foundations (Remote Contract)

Alignerr

Remote

$170 - $200/hr

Contractor

Posted 15 days ago

Key responsibilities

  • Formalize advanced mathematical arguments and theorems in Lean 4 across various mathematical disciplines.

  • Contribute to the growth and quality of large-scale formal mathematical libraries, including mathlib.

  • Construct clean, readable, and well-structured formal proofs that translate informal mathematical reasoning into rigorous machine-checkable form.

Job description

Mathematician - Formal Proof & AI Foundations (Remote Contract)
About the Role
What if your deep knowledge of formal mathematics could directly shape how the most advanced AI systems in the world reason, prove, and think? We're looking for mathematicians with a passion for rigorous proof and formal systems to help build the mathematical foundations that frontier AI depends on.
This is a fully remote, flexible contract role working at the intersection of pure mathematics, logic, and cutting-edge AI research. If you live and breathe formal proof - and especially if you know your way around Lean 4 - this is a rare opportunity to do deeply meaningful technical work on your own schedule, from anywhere in Australia.
  • Organization
    : Alignerr
  • Type
    : Hourly Contract
  • Location
    : Remote
  • Commitment
    : 10-40 hours/week

What You'll Do
  • Formalize advanced mathematical arguments and theorems in Lean 4, spanning a wide range of mathematical disciplines
  • Contribute to the growth and quality of large-scale formal mathematical libraries, including mathlib
  • Construct clean, readable, and well-structured formal proofs that translate informal mathematical reasoning into rigorous machine-checkable form
  • Audit and verify existing formal proofs for correctness, completeness, and logical integrity
  • Work at the frontier of AI research, helping train the next generation of mathematically capable language models

Who You Are
  • Hold a Master's degree or PhD in Mathematics or a closely related field
  • Possess a strong background in rigorous mathematical proof writing and logical reasoning
  • Have hands-on experience with formal proof assistants -
    Lean 4 strongly preferred
  • Can fluently translate informal mathematical ideas into structured, machine-verifiable formal proofs
  • Self-motivated and comfortable working independently in a remote, asynchronous environment

Nice to Have
  • Prior experience with proof verification, theorem proving, or mathematical formalization projects
  • Familiarity with mathlib or other large-scale formal mathematical libraries
  • Background in data annotation, data quality evaluation, or AI training workflows
  • Experience across multiple mathematical domains - topology, algebra, analysis, logic, and beyond

Why Join Us
  • Work on frontier AI research alongside the world's leading AI labs and research teams
  • Fully remote and flexible - structure your work around your life, not the other way around
  • Freelance autonomy with the intellectual depth of meaningful, high-stakes technical work
  • Contribute directly to formal mathematical libraries that will outlast any single project
  • Gain rare exposure to how cutting-edge large language models are built and trained
  • Potential for ongoing work and contract extension as new projects launch

Apply