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Math Research Jobs in California (NOW HIRING)

About Harmonic At Harmonic, we are building a mathematical reasoning engine that operates with ... About the Role We are seeking a highly motivated and skilled Research Engineer to join our Formal ...

R&D Engineer

Sunnyvale, CA · On-site

$150K - $220K/yr

About the role: We're looking for highly skilled R&D Engineers with expertise in algorithms, mathematical modeling, and scientific computing. The R&D Engineer will perform in-depth research on high ...

R&D Engineer

Sunnyvale, CA · On-site

$150 - $220/hr

About the role We're looking for highly skilled R&D Engineers with expertise in algorithms, mathematical modeling, and scientific computing. The R&D Engineer will perform in-depth research on high ...

Citizenship Bachelor's degree in Operations Research, Applied Mathematics, Statistics, Systems Engineering, Physics, Industrial Engineering, or a closely related discipline Minimum 15 years of ...

The core of our scientific work is the development of physics-based mathematical models of phage ... This is a research-oriented role for a computational physicist (or someone with an equivalent ...

Research Scientist

San Francisco, CA · On-site

$140 - $220/hr

The core of our scientific work is the development of physics-based mathematical models of phage ... This is a research-oriented role for a computational physicist (or someone with an equivalent ...

Research Scientist

San Francisco, CA · On-site

$125 - $225/hr

You are a talented researcher with background in math, physics, CS, or an equivalent quantitative field. You are currently studying modern AI systems, and you seek to understand how they are and will ...

The Research Associate position at BillionToOne is exceptionally rare at the undergraduate or early ... High mathematical and statistical aptitude (e.g., you find the GRE math section to be extremely ...

Bachelor's degree or higher in a field such as economics, mathematics, statistics, or public policy (or equivalent experience) * Experience : 5+ years of professional experience in analytics/research ...

Bachelor's degree or higher in a field such as economics, mathematics, statistics, or public policy (or equivalent experience) * Experience: 5+ years of professional experience in analytics/research ...

Apple Pi Education is seeking a Mathematics Instructional Coach to provide research-based coaching and professional development to instructional staff in K-12 schools. The role focuses on ...

Showing results 21-40

Math Research information

What is a math research?

A Math Research job involves studying mathematical theories, solving complex problems, and developing new mathematical models. Researchers may work in academia, government, or industry, applying advanced math to fields like physics, finance, cryptography, or data science. They often publish papers, collaborate with other scientists, and contribute to theoretical or applied mathematics.

What types of projects do professionals in math research typically work on?

Math Research professionals often focus on solving theoretical problems, developing new mathematical models, or applying mathematics to fields like data science, engineering, or finance. Projects can range from pure mathematical theory to practical applications such as optimizing algorithms, analyzing big data, or designing statistical tests. Researchers frequently work within academic, governmental, or private sector teams, collaborating with other scientists, engineers, or subject matter experts. This interdisciplinary approach allows for both independent and group work, providing opportunities for creative problem-solving and continuous learning.

What are the key skills and qualifications needed to thrive in math research, and why are they important?

To thrive in Math Research, you need advanced mathematical knowledge, strong analytical abilities, and a graduate degree (often a Ph.D.) in mathematics or a related field. Commonly used tools include programming languages such as Python or MATLAB, mathematical modeling software, and statistical analysis packages. Exceptional problem-solving, perseverance, and effective communication skills help researchers articulate complex findings and collaborate across disciplines. These skills ensure rigorous, innovative research that advances understanding and delivers real-world impact.

How to become a mathematics researcher?

To become a mathematics researcher, typically a candidate needs a strong foundation in advanced mathematics through a bachelor's degree, followed by a master's or Ph.D. in mathematics or a related field. Developing research skills, proficiency with mathematical software, and publishing findings in academic journals are also important steps in establishing a career in mathematical research.

What are the top 5 math research careers that pay well?

Math research careers with high earning potential include roles such as quantitative analyst, data scientist, operations researcher, actuarial scientist, and university professor in specialized fields. These positions often require advanced degrees, strong analytical skills, and proficiency with statistical and mathematical software. Salaries vary by industry and experience but generally range from six-figure incomes for experienced professionals in finance, technology, and consulting sectors.

What does a math researcher do?

A math researcher investigates mathematical theories, principles, and problems to develop new knowledge or solutions. They often work in academic, government, or private research settings, using tools like mathematical modeling, statistical analysis, and computer programming to analyze data and prove hypotheses.

What are the most commonly searched types of Math Research jobs in California?

The most popular types of Math Research jobs in California are:

What job categories do people searching Math Research jobs in California look for?

The top searched job categories for Math Research jobs in California are:

What cities in California are hiring for Math Research jobs?

Cities in California with the most Math Research job openings:

Infographic showing various Math Research job openings in California as of August 2026, with employment types broken down into 73% Full Time, and 27% Part Time. Highlights an 86% In-person, 3% Hybrid, and 11% Remote job distribution.

Research Engineer, Formal Methods

Harmonic

Palo Alto, CA • On-site

$140 - $200/hr

Other

Medical, Dental, Vision, Retirement, PTO

Posted 9 days ago


Job description

About Harmonic

At Harmonic, we are building a mathematical reasoning engine that operates with absolute precision. While most AI makes maximum-likelihood guesses, Harmonic's Aristotle uses Lean4 and reinforcement learning to verify its reasoning and results.

Following our Gold Medal-level performance on the 2025 International Math Olympiad (IMO) and the successful resolution of long-standing open problems, we are proving that AI can master the most rigorous domains of human thought. Backed by some of the world’s most prominent investors, we are intentionally scaling an elite technical team.

Visit our company blog to learn more about what we are working on!

About the Role

We are seeking a highly motivated and skilled Research Engineer to join our Formal Methods team. The initial focus of this position will be on pushing the limits of AI based theorem proving for verification of software and/or hardware. The successful candidate will play a key role in developing new approaches to express and prove important software and hardware properties, work with AI researchers to train and develop AI systems to reliably check them.

Key Responsibilities
  • Conduct research in formal methods for verification of software, hardware and mathematical domains
  • Apply formal verification techniques using Lean or similar frameworks to formally verify safety critical systems
  • Develop and implement algorithms and techniques to improve the efficiency and effectiveness of formal methods for AI systems
Minimum Qualifications
  • BS or MS in Computer Science, Mathematics, a related technical field, or equivalent industry experience
  • Basic proficiency in python
  • Proficiency and practical experience with at least one proof assistant (e.g., Lean, Coq, Isabelle, Agda) and a strong foundation in formal methods and mathematical logic
  • Experience driving highly technical research projects from early concept to delivery
Preferred Qualifications
  • Expert level knowledge of Lean4
  • PhD in Computer Science, Mathematics, or related technical field
  • Experience verifying programs in safety critical fields such as; aerospace/defense, automotive, medical, cryptography, etc
  • Proven track record in research or development of programming languages
  • Proven track record of high-quality research demonstrated by publications, patents, or software contributions
  • Contributions to open-source projects or development of software tools in the field
What We Offer
  • Unlimited PTO
  • 401(k) matching
  • 100% employer-paid health, vision, and dental benefits for employees and 50% coverage for dependents. Harmonic offers varied health coverage options to select what is best for you and your family.
  • Health Savings Account (HSA) available for qualifying health plans
Equal Opportunity Statement

Harmonic is committed to diversity and inclusivity in the workplace. We are an equal opportunity employer and do not discriminate on the basis of race, religion, national origin, gender, sexual orientation, age, veteran status, disability or any other legally protected status.

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