Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Tucson, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Tucson, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Flagstaff, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Flagstaff, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Mesa, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Mesa, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Glendale, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Glendale, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Yuma, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Yuma, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Scottsdale, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Scottsdale, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Chandler, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Chandler, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Phoenix, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Phoenix, AZ · Remote
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 ... Statistics, Mathematics, Operations Research, or a related field, and returning to that program ...
Contact Center Data Analyst
Phoenix, AZ · On-site +1
... remote work. As a Data Analyst, team members will be responsible for evaluating and improving U ... mathematical models. * Specify manipulative or computational methods to be applied to models.
Contact Center Data Analyst
Phoenix, AZ · On-site +1
... remote work. As a Data Analyst, team members will be responsible for evaluating and improving U ... mathematical models. * Specify manipulative or computational methods to be applied to models.
$23/hr
This is a remote hybrid opportunity, after onsite training period. Shift time between 8am and 8pm ... Ensures copay cards are only applied to claims for eligible patients based on set criteria such as ...
$23/hr
This is a remote hybrid opportunity, after onsite training period. Shift time between 8am and 8pm ... Ensures copay cards are only applied to claims for eligible patients based on set criteria such as ...
Pharmacy Claims Adjudication Specialist
Scottsdale, AZ · Remote
$23/hr
This is a remote hybrid opportunity, after onsite training period. Shift time between 8am and 8pm ... Ensures copay cards are only applied to claims for eligible patients based on set criteria such as ...
Pharmacy Claims Adjudication Specialist
Scottsdale, AZ · Remote
$23/hr
This is a remote hybrid opportunity, after onsite training period. Shift time between 8am and 8pm ... Ensures copay cards are only applied to claims for eligible patients based on set criteria such as ...
Pharmacy Claims Adjudication Specialist
Scottsdale, AZ · Remote
$23/hr
This is a remote hybrid opportunity, after onsite training period. Shift time between 8am and 8pm ... Ensures copay cards are only applied to claims for eligible patients based on set criteria such as ...
Pharmacy Claims Adjudication Specialist
Scottsdale, AZ · Remote
$23/hr
This is a remote hybrid opportunity, after onsite training period. Shift time between 8am and 8pm ... Ensures copay cards are only applied to claims for eligible patients based on set criteria such as ...
Remote Applied Mathematics information
See Arizona salary details
$19.9K - $34.5K
15% of jobs
$39.4K is the 25th percentile. Wages below this are outliers.
$34.5K - $49K
31% of jobs
The median wage is $53.1K / yr.
$49K - $63.6K
17% of jobs
$63.6K - $78.2K
9% of jobs
$84.9K is the 75th percentile. Wages above this are outliers.
$78.2K - $92.7K
7% of jobs
$92.7K - $107.3K
5% of jobs
$107.3K - $121.8K
4% of jobs
$121.8K - $136.4K
4% of jobs
$136.4K - $151K
3% of jobs
$151K - $165.5K
2% of jobs
$165.5K - $180.1K
2% of jobs
$19.9K
$75.1K
$180.1K
How much do remote applied mathematics jobs pay per year?
What is a remote applied mathematics?
A Remote Applied Mathematics job involves using mathematical theories and techniques to solve real-world problems in various industries while working from a remote location. Professionals in this field apply mathematical modeling, statistical analysis, and computational methods to fields like finance, engineering, data science, and operations research. They often collaborate with teams virtually, using digital tools to analyze data, develop algorithms, and optimize solutions. Strong problem-solving skills and proficiency in programming languages like Python, R, or MATLAB are commonly required. This role offers flexibility and allows mathematicians to contribute to diverse industries without being tied to a physical office.
What are some typical projects or problems addressed by professionals in remote applied mathematics roles?
Professionals in Remote Applied Mathematics frequently tackle complex problems such as optimizing processes, developing statistical models, or analyzing large datasets to extract actionable insights for industries like finance, healthcare, or engineering. Their daily work often involves collaborating with multidisciplinary teams via virtual meetings, sharing research findings, and validating results through computational simulations or data analysis. Project scopes can range from short-term consultations to long-term research, allowing for significant variety and intellectual engagement. This dynamic environment enables applied mathematicians to make real-world impacts while building a versatile skill set relevant to a variety of sectors.
What are the key skills and qualifications needed to thrive in the remote applied mathematics position, and why are they important?
To thrive in Remote Applied Mathematics, you need a solid background in mathematical modeling, statistical analysis, and problem-solving, usually substantiated by a degree in mathematics, applied math, or a related field. Familiarity with programming languages such as Python, MATLAB, or R, and experience using data analysis software is highly valued. Strong communication, self-motivation, and time management skills help remote professionals collaborate and meet project goals effectively. These combined abilities are crucial to deliver high-quality mathematical solutions and insights while working independently in a virtual environment.
Can applied mathematicians work remotely?
Is applied mathematics in demand?
What jobs can I do with a remote applied mathematics degree?
What jobs can you get with a remote applied mathematics degree?
What are the most commonly searched types of Applied Mathematics jobs in Arizona?
The most popular types of Applied Mathematics jobs in Arizona are:
What are popular job titles related to Remote Applied Mathematics jobs in Arizona?
For Remote Applied Mathematics jobs in Arizona, the most frequently searched job titles are:
What job categories do people searching Remote Applied Mathematics jobs in Arizona look for?
The top searched job categories for Remote Applied Mathematics jobs in Arizona are:
What cities in Arizona are hiring for Remote Applied Mathematics jobs?
Cities in Arizona with the most Remote Applied Mathematics job openings:

Applied Research Intern, Proactive Intelligence & Customer World Models (PhD / Graduate Co-op)
Remote
Internship
Posted 6 days ago
Block rating
7.9
Based on 16 frontline employees who took The Breakroom Quiz
9th of 21 rated payment service providers
Job description
Team: Apollo - Block Applied R&D Location: Remote (US / Canada) Duration: Fall/Winter 2026 co-op - 8 months, flexible start September 2026 Level: Graduate student (MS or PhD, returning to your program after the co-op)
About Apollo
Apollo leads Block's efforts to build the Customer World Model (CWM) : a continuously evolving representation of each customer's goals, context, history, constraints, and likely future needs.
The CWM powers proactive intelligence across Block's ecosystem. Instead of customers navigating products in search of features, intelligence observes their world, understands what matters, anticipates what comes next, and initiates actions on their behalf.
We believe the next generation of AI products will not be defined by chat interfaces or isolated agents. They will be defined by rich world models that enable systems to reason over a customer's evolving state, make better decisions, and learn continuously from outcomes. Apollo designs, prototypes, and guides the development of this intelligence layer.
About the role
We're hiring a small cohort of graduate research interns to help build the foundations of proactive intelligence.
This is not a traditional internship. You'll own a research problem end-to-end: framing the question, developing methods, running experiments, publishing findings, and, when successful, shipping your work into production systems used by millions of customers and sellers.
You'll work at the intersection of representation learning, foundation models, reinforcement learning, causal reasoning, agentic systems, and product intelligence. The goal is not simply to build smarter models, but to build systems that develop a deeper understanding of customers and use that understanding to make better decisions over time.
Past interns have shipped production systems within months and published their work in the same year.
What you'll work on
Depending on your interests and Apollo's roadmap, you'll focus on one or more of the following areas:
Customer World Models
Building rich representations of customers from event streams, financial activity, operational signals, and behavioral data.
Examples include:
- Representation learning over long-horizon customer histories
- Event-based foundation models
- Multi-modal customer representations spanning structured, sequential, and graph data
- Memory architectures for long-term customer understanding
Proactive Intelligence
Developing systems that can anticipate customer needs and initiate helpful actions before being asked.
Examples include:
- Opportunity detection and next-best-action systems
- Long-horizon planning and decision-making
- Preference and goal inference
- Learning when intervention creates value versus friction
Agentic Decision Systems
Building agents that reason over customer world models and take actions in real environments.
Examples include:
- Tool use and planning
- Multi-step reasoning over customer state
- Autonomous workflow execution
- Recovery and adaptation under uncertainty
Learning from Feedback Loops
Developing methods that allow intelligence to improve continuously from real-world outcomes.
Examples include:
- Reinforcement learning from customer and product feedback
- Reward modeling and preference learning
- Counterfactual evaluation
- Credit assignment over long decision horizons
Evaluation and Measurement
Building evaluation frameworks that predict real-world performance, trust, and customer value.
Examples include:
- Simulated customer environments
- Longitudinal evaluation
- Decision quality metrics
- Safety and reliability benchmarks
What we're looking for
We're looking for researchers interested in building systems that understand people, learn from experience, and improve over time.
Required
- Currently enrolled in an MS or PhD program in Computer Science, Machine Learning, Statistics, Mathematics, Operations Research, or a related field, and returning to that program after the co-op.
- Strong foundations in modern machine learning, including deep learning, optimization, representation learning, and foundation models.
- Experience conducting independent research and translating ideas into working systems.
- Fluency in Python and experience with PyTorch, JAX, or similar frameworks.
- Evidence of research excellence through publications, open-source contributions, technical leadership, or equivalent work.
Nice to have
- Experience with large language models and agentic systems.
- Experience with reinforcement learning, reward modeling, or sequential decision-making.
- Experience with representation learning for structured, temporal, or graph data.
- Familiarity with large-scale training and production ML systems.
- Interest in building AI systems that directly affect customer outcomes.
What you'll get
- Direct mentorship from researchers working on the future of proactive intelligence at Block.
- Access to large-scale datasets, modern infrastructure, frontier models, and substantial compute resources.
- Opportunities to publish and contribute to open-source projects.
- A chance to shape foundational technology that could power the next generation of Block products.
- Exposure to both scientific research and product deployment, with a clear path from idea to impact.
Application Guidelines
Candidates may submit up to 9 active applications within a 60-day period. Reapplications to the same role are accepted 90 days after a previous application has been reviewed.
Use of AI in Our Hiring Process
We may use automated AI tools to evaluate job applications for efficiency and consistency. These tools comply with local regulations, including bias audits, and we handle all personal data in accordance with state and local privacy laws.
Contact us here with hiring practice or data usage questions.
Every benefit we offer is designed with one goal: empowering you to do the best work of your career while building the life you want. Remote work, medical insurance, flexible time off, retirement savings plans, and modern family planning are just some of our offering. Check out our other benefits at Block.
Block, Inc. (NYSE: XYZ) builds technology to increase access to the global economy. Each of our brands unlocks different aspects of the economy for more people. Square makes commerce and financial services accessible to sellers. Cash App is the easy way to spend, send, and store money. Afterpay is transforming the way customers manage their spending over time. TIDAL is a music platform that empowers artists to thrive as entrepreneurs. Bitkey is a simple self-custody wallet built for bitcoin. Proto is a suite of bitcoin mining products and services. Together, we're helping build a financial system that is open to everyone.