# Research and collaboration in mathematics
**Source**: https://www.york.ac.uk/maths/research/
**Parent**: https://www.york.ac.uk/maths/study/undergraduate/
Mathematics at the frontiers of discovery and impact.
Our vision is to conduct world-leading mathematical research, advancing the development of mathematics itself and generating benefit for society and industry.
We provide an excellent environment for research and impact, in which researchers at all stages can thrive and develop.
We have extensive collaborations with mathematicians worldwide and actively pursue interdisciplinary research in many fields.
## Contact us
- [maths-research@york.ac.uk](mailto:maths-research@york.ac.uk)
[We’re a UK top 20 research department](https://www.york.ac.uk/research/performance/our-ref-statement/)
according to the Times Higher Education’s ranking of the latest REF results (2021).
[100% of our research is rated as 4\* or 3\*](https://www.york.ac.uk/research/performance/ref-2021-results/)
in the latest REF results (2021).
[Hold a research Fellowship with us](https://www.york.ac.uk/maths/research/fellowships/fellowships-list/)
External applicants welcome. Support available.
[We welcome academic visitors](https://www.york.ac.uk/maths/research/visiting-researchers/)
Join us for up to a year to pursue your independent research at York.
## Research strengths
We pride ourselves on the lack of boundaries between subject areas, which encourages a culture of collaboration in our department. Our main areas of strength are represented in eight research groups.
### [Algebra](https://www.york.ac.uk/maths/research/algebra/)
### [Geometry and analysis](https://www.york.ac.uk/maths/research/geometry-analysis/)
### [Industrial and applied mathematics](https://www.york.ac.uk/maths/research/industrial-applied/)
### [Mathematical biology](https://www.york.ac.uk/maths/research/mathematical-biology-chemistry/)
### [Mathematical finance and stochastic analysis](https://www.york.ac.uk/maths/research/mathematical-finance-stochastic-analysis/)
### [Mathematical physics and quantum Information](https://www.york.ac.uk/maths/research/mathematical-physics-quantum-information/)
### [Number theory](https://www.york.ac.uk/maths/research/number-theory/)
### [Statistics and probability](https://www.york.ac.uk/maths/research/statistics-probability/)
## Impact and engagement
Although the impact of mathematics is often indirect and tends to be long-term, our research has had significant impact in many ways.
We create the potential for further research impact by facilitating connections and ideas exchange across the University and with industrial partners and policymakers.
We have built strong collaborative relationships with diverse organisations such as Fera Science, Unilever, the Centre for Environment, Fisheries and Aquaculture Science and the Office for National Statistics.
### Highlights
- [Balanced harvest: mathematical underpinnings of a sustainable fisheries policy](https://www.york.ac.uk/research/impact/balanced-harvest/)
- [Improving food safety and traceability with mathematical methods](https://www.york.ac.uk/research/impact/food-traceability/)
## Collaboration with business and industry
We engage widely with organizations outside academia, including business and industry partners, professional bodies, and national and international agencies.
We are always interested in collaboration and engagement.
[Find out more](https://www.york.ac.uk/maths/research/collaborating-business-industry/)
## Research centres, institutes and networks
We are actively involved with interdisciplinary research networks and centres across the University, including
- [BioArCh](https://www.york.ac.uk/archaeology/research/research-centres/bioarch/)
- [Biological Physical Sciences Interdisciplinary Network (BPSInet)](https://www.york.ac.uk/physics-engineering-technology/research/bpsi/)
- [Institute for Safe Autonomy](https://www.york.ac.uk/safe-autonomy/)
- [Leverhulme Centre for Anthropocene Biodiversity](https://www.york.ac.uk/anthropocene-biodiversity/)
- [Physics of Life Group](https://www.york.ac.uk/physics-engineering-technology/research/physics-of-life/)
- [Quantum Communications Hub](https://www.quantumcommshub.net/)
- [York Biomedical Research Institute](https://www.york.ac.uk/biomedical-research-institute/)
- [York Centre for Quantum Technologies](https://www.york.ac.uk/quantum-technologies/)
- [York Environmental Sustainability Institute](https://www.york.ac.uk/yesi/)
- [York Historical Warfare Analysis Group](https://www-users.york.ac.uk/~nm15/YHWAG/YHWAG.html)
- [York Interdisciplinary Centre for Cyber Security](https://sites.google.com/york.ac.uk/cybersec)
Events
We host several regular seminar series and other lectures and talks with guest speakers.
[See all our events](https://www.york.ac.uk/maths/about/events/)
Research degrees
Push the boundaries of knowledge in our supportive and stimulating academic environment.
[Study with us](https://www.york.ac.uk/maths/study/postgraduate-research/)
Fellowships
Early career researchers at York benefit from a dynamic research culture and excellent facilities.
[Join us as a fellow](https://www.york.ac.uk/maths/research/fellowships/)
Publications
Search for research and browse publications in the York Research Database.
[Explore publications](https://pure.york.ac.uk/portal/en/organisations/mathematics(d2165c10-a6c3-458d-a101-80a526cbb9ac)/publications.html)
## Contact us
- [maths-research@york.ac.uk](mailto:maths-research@york.ac.uk)