You need answers
When problems or questions requiring deep mathematical and computing knowledge arise, they cannot always be solved within your organization. University of Waterloo Mathematics researchers work in partnership with commercial companies, industry research groups and government bodies to find answers. We analyze data, design systems, optimize resources, model processes and facilitate communication methods.
We have an unparalleled breadth of knowledge and practice. Our people are experts in the languages of math and computing. From car air bags to medical imagery, our research teams work on applied and theoretical problems, impacting a wide variety of industries and products that people use every day. The prospect of a new or difficult problem is what stimulates our imagination. We’re driven to find answers - the answers you need to drive innovation.
Partnering with us is win-win. Bring us a challenge and we’ll work with your team to understand what’s important, and together we will find the answers you need.
Find a researcher or form a partnership
To connect with a Faculty of Mathematics researcher, you can search by faculty or keyword.
Areas of applied expertise
Artificial Intelligence and Machine Learning
Through the University of Waterloo Artificial Intelligence Institute (waterloo.ai), our researchers are producing end-to-end AI solutions of immediate benefit to all Canadians. In years to come, we expect this research investment to yield profound dividends for the economic prosperity, wellbeing and quality of life of people all around the world.
Waterloo’s track record of partnership with industry allows us to deliver effective AI innovation for hundreds and thousands of businesses across Canada – a truly inclusive AI revolution. Canadian start-ups, Small-to-medium enterprises (SMEs) and corporations will be able to pioneer new technologies in medical care, assistive devices, environmental monitoring, adaptive robotics, and autonomous driving.
We are leveraging the large volumes of data generated from numerous and diverse sources, as well as any new kind of cloud interaction as it becomes available in our increasingly digital world.
Our researchers are studying the application and development of methods to draw insight from available data in order to understand, predict, and improve business strategy, products and services, marketing campaigns, medicine, public health and safety, as well as numerous other pursuits.
Security and Privacy
Waterloo is Canada’s leader at turning information and communication technology (ICT) research into innovations that create economic advantage.
Waterloo is uniquely capable of devising effective cybersecurity and privacy tools and technologies, commercializing these tools and technologies, developing the next generation of cybersecurity leaders, and leading in industry-academic collaboration. We have world-leading research strengths in:
- Cryptography Security Privacy enhancing technologies
- Human-computer interaction
- Networks and distributed systems
- Mathematics relevant to cryptography
The Waterloo Cybersecurity and Privacy Institute (CPI) will nurture and enhance Canada’s leadership position in cybersecurity and privacy research by partnering with industry to collaborate on innovative solutions.
At the Mike & Ophelia Lazaridis Quantum-Nano Centre (QNC), our quantum computing researchers have access to a state-of-the-art facility on campus that is like no other in the world.
In our highly collaborative environment, faculty focused on such topics as quantum cryptography work together with those investigating quantum information processing, and others unravelling the mathematical models necessary to comprehend the workings of quantum devices.
The University of Waterloo also offers a unique interdisciplinary graduate program in Quantum Information - at both the masters and PhD levels.
Researchers are working in several major research areas within quantum information, including (but not limited to):
- Quantum error correction & fault tolerance
- Quantum complexity
- Quantum algorithms
- Quantum information theory
- Spin-based quantum information processing
- Nanoelectronics-based quantum information processing
- Optical quantum information processing
- Quantum cryptography
Mathematical models have become more complex and require much more computation. They are being developed for, and applied to, many more situations than every before from industrial manufacturing and design to climate modelling, financial analysis, information security, and data mining.
Mathematical Medicine and Biology
Mathematical models have become more complex and require much more computation. They are being developed for, and applied to, more situations than ever before, from industrial manufacturing and design to climate modelling, financial analysis, information security, and data mining.
We have worked on projects in the study, research, and knowledge of health and the application of that knowledge to improve health, create programs and cure diseases.
- Nursing notes can help indicate whether ICU patients will survive
- Creating software to inform shunt placement for hydrocephalus patients
- Improving cardiology diagnostics with algorithms
- Developing information management systems for health care and hospital performance
- Building bioinformatics software tools and algorithms for homology search, protein 3D structure prediction, coding region detection, protein identification and pathway mining
- Increasing efficiency of DNA sequence identification
- Developing efficient search methods for DNA database query and indexing
Interest in financial technology is exploding around the world. The societal demand for timely, impactful Fintech research output and graduates to serve the evolving financial services industry is growing. The dynamic world of finance requires highly skilled personnel with strengths in:
- Applications of machine learning, predictive analytics in finance
- Modern practical optimization techniques for asset allocation, portfolio management, and rebalancing
- Efficient computational techniques for evaluating and hedging complex portfolios of financial instruments. Includes new methods to efficiently compute first and second order sensitivities
- Techniques for high-frequency trading including transaction cost analysis and single asset and portfolio strategies
- Emerging technologies (e.g., blockchain)
With our research strengths in Mathematics and Computer Science, we are uniquely positioned to play an international leadership role in fintech, by leading modern research efforts in mathematical business and financial technology.