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Math Research Jobs in Goleta, CA (NOW HIRING)

Toyon

AI/ML Software Engineer

Goleta, CA

$120K - $200K/yr

Our software engineers work closely with our researchers and customers to create state-of-the-art ... Candidates should possess strong math and physics knowledge to enable developing advanced AI/ML ...

Toyon

Deep Learning Algorithm Developer

Goleta, CA

$120K - $200K/yr

Toyon has openings for researchers and developers to solve challenging real-world problems using ... and/or mathematics. Experience with PyTorch, TensorFlow, or other deep learning frameworks is ...

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All JobsMath Research JobsMath Research Jobs in Goleta, CA

Math Research information

See Goleta, CA salary details

$24.3K

$63.5K

$102K

How much do math research jobs pay per year?

As of Aug 11, 2026, the average yearly pay for math research in Goleta, CA is $63,483.00, according to ZipRecruiter salary data. Most workers in this role earn between $48,600.00 and $75,500.00 per year, depending on experience, location, and employer.

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.

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 top 5 math research careers that pay well?

Math research careers that tend to pay well include roles such as quantitative analyst, data scientist, operations researcher, cryptographer, and actuarial scientist. These positions often require advanced degrees, strong analytical skills, and proficiency with programming and statistical tools, with salaries varying based on industry and experience.

What does a math researcher do?

A math researcher investigates mathematical theories, develops new models, and solves complex problems across various fields such as pure mathematics, applied mathematics, or data analysis. They often work in academic, government, or industry settings, using tools like programming languages and statistical software to support their research and typically hold advanced degrees in mathematics or related disciplines.

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 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 are popular job titles related to Math Research jobs in Goleta, CA? For Math Research jobs in Goleta, CA, the most frequently searched job titles are:
What job categories do people searching Math Research jobs in Goleta, CA look for? The top searched job categories for Math Research jobs in Goleta, CA are:
What cities near Goleta, CA are hiring for Math Research jobs? Cities near Goleta, CA with the most Math Research job openings:
Math Research jobs near you
Infographic showing various Math Research job openings in Goleta, CA as of August 2026, with employment types broken down into 63% Full Time, 18% Part Time, and 19% Contract. Highlights an 90% In-person, and 10% Hybrid job distribution, with an average salary of $63,483 per year, or $30.5 per hour.

Flight Software C++ Engineer with Security Clearance

Toyon Research Corporation

Goleta, CA • On-site

$130K - $220K/yr

Other

Medical, Dental, Vision, Life, Retirement, PTO

Re-posted 18 days ago

Job description

U.S. Citizenship is Required. Ability to qualify for a US Department of Defense Top Secret security clearance required. Candidate must be SAP program eligible. This position is in person. Toyon is seeking a passionate and talented Flight Software C++ Engineer to join our growing team developing cutting-edge aerospace flight systems and diagnostic tools. This role is critical to research and development of new flight systems, from requirements definition to prototype hardware test and delivery. Responsibilities * Design, develop, and test flight software components in C++ for embedded systems
* Develop and maintain firmware for flight controllers and related hardware
* Participate in software code reviews and contribute to improving software development processes
* Collaborate closely with cross-functional teams of engineers, scientists, and project managers to translate technical requirements into robust and efficient software solutions
* Develop and execute rigorous testing methodologies, including unit, integration, and system-level testing in simulation and on actual flight hardware
* Write clean, well-documented, and maintainable code adhering to best practices and coding standards
* Contribute to the full software development lifecycle, from requirements analysis and architecture design to coding, verification, and validation of flight-critical software
* Design, develop, and implement real-time, safety-critical flight software in C/C++ for embedded systems within aerospace and defense platforms Requirements * Deep Systems Knowledge: A bachelor’s degree encompassing a strong academic background in Computer Science, Electrical Engineering, Aerospace Engineering, or a related field, with a focus on embedded systems and real-time computing
* Mastery of Embedded C/C++: Minimum of 3 years of demonstrated professional experience developing safety-critical, real-time embedded software using C or C++
* Aerospace/Flight Software Expertise: Proven experience working with flight software principles, real-time operating systems (RTOS), and understanding of aerospace hardware interfaces and protocols 
* Navigating Embedded Systems: Proven capability to rapidly understand and contribute to complex embedded software architectures, device drivers, and low-level hardware interactions
* Commitment to Mission Criticality: A profound passion for building highly reliable, safety-critical flight software that directly ensures mission success and public safety.
* Excellent communication and collaboration skills
* Ability to develop software independently and as part of a team
* Eligible to obtain and maintain an active U.S. Top Secret security clearance
Preferred * Master’s or Ph.D. in Computer Science, Engineering, Math, or a physical science
* Demonstrated experience with software/firmware Failure Mode, Effects, and Criticality Analysis (FMECA)
* Demonstrated experience implementing DO-178C standards for aerospace avionics or MISRA equivalents
* Strong understanding of statistics and data analysis
* Demonstrated experience using Monte Carlo methods for systems-level analysis
* Experience with guidance, navigation, and control
WE OFFER AN EXCEPTIONAL EMPLOYEE BENEFITS PACKAGE! * Competitive Industry Pay
* 100% Employer-Paid Medical Insurance Premium
* HSA with Employer Contributions
* Dental and Vision Coverage Options
* Paid Holidays
* Paid Vacation and Sick leave
* Company Funded 401(k) and Profit Sharing Plans
* Employee Stock Ownership Plan (ESOP)
* Life and Disability Insurance  
* Paid Parental Leave
* Discretionary Bonus Eligibility
The annual pay range for the Flight Software C++ Engineer position is $130,000 to $220,000. The posted pay range values provide the candidate with guidance on annual base compensation for the position, at a full time level of effort, exclusive of overtime, bonus, and benefits-related compensation, over a range of qualifications that may fit hiring objectives. Toyon Research Corporation will consider the individual candidate’s education, work experience, applicable knowledge, skills and training, among other factors, when preparing an offer of employment.  Equal Opportunity Employer including Disability and Veterans    Applicant Privacy Notice  Learn more about our company in our latest video, We are Toyon.  The application window for this posting will remain open until the position is filled.    Ref #2647-H

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