ÀÇÓÑÉçÇø

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We occupy a distinctive position in the mathematical sciences community through applications of core mathematics research to other sciences, such as:

  • applied and medical statistics
  • biology, medicine, neuroscience and pharmacology
  • data assimilation and modelling of Earth observations
  • dynamics and numerical modelling of atmosphere and ocean
  • polymer science.

This work is underpinned by strong research in pure mathematics, most notably mathematical analysis and number theory.

We are an outstanding, impactful department of mathematics and statistics. 98% of our research is world leading or internationally excellent and 100% of our research impact has been classed ‘outstanding’ or ‘very considerable’ (Research Excellence Framework 2021, combining 4* and 3* submissions – Mathematical Sciences). 

Our research impact

Our collaborative and interdisciplinary approach leads to research that shape the future of our planet. Our statistical research has , saving time, cutting costs and helping patients and fed into the development of trail reporting guidelines. We have led , helping agencies across the world, from the UK Met Office to NASA, to make better weather forecasts. 

Advances in the use of satellite and radar data led by ÀÇÓÑÉçÇø mathematicians are helping agencies across the world, from the UK Met Office to NASA, to improve weather forecasts.

Research at ÀÇÓÑÉçÇø has made important statistical contributions to the field of multi-arm, multi-stage adaptive designs to improve efficiency of the clinical design process. This results in time savings, economic benefits, and advantages to patients.

Our research areas

Pure mathematics

We conduct fundamental research in core mathematics, supporting its application to other fields. Our work includes number theory, complex analysis, and differential equations. Pure mathematics research groups are: 

Statistics

We have a rich history of statistics having developed a number of new methodologies that have had profound impacts in a wide range of applications. Our statisticians work on applied statistics, mechanics, probability, and stochastic analysis. Statistics research groups are:  

Applied and numerical mathematics

We bring core mathematical principles to a range of applications to produce leading research in specific fields within environmental mathematics, numerical analysis, mathematical physics and mathematical biology. Applied and numerical mathematics research groups are:

This research centre is a catalyst for research ideas and initiatives in the intersection between mathematics and statistics, theoretical physics, data science and Earth system science.

Research collaborations

Our research is strongly collaborative, with staff active in a number of the University’s institutes and centres, including:

  • the , which conducts research aimed at improving weather and other geophysical forecasts. It brings together expertise in mathematics and statistics, meteorology and Met Office research staff based at ÀÇÓÑÉçÇø
  • the, which brings together scientists to understand the development of cardiovascular diseases
  • the Hugh Sinclair Unit of Human Nutrition, which seeks to strengthen the evidence base for dietary recommendations for the prevention of chronic diseases.

Collaborations to shape the future of our planet

We are part of the larger School of Mathematical, Physical and Computational Sciences, where we partner on research with other departments including our world-leading Department of Meteorology. 

We are a partner in the £16m with Imperial College London and the University of Southampton. This is an interdisciplinary initiative that harnesses the power of mathematics to address the urgent issues presented by climate change. PhD project areas are split into mathematical theory and numerical modelling of fundamental oceanic and atmospheric processes, analysis of data and assimilation with weather and climate models, and mathematical applications related to the response to climate change. Five cohorts of PhD students will be trained by the MFC CDT (2024 - 2032). 

Previously, we were a partner in the with Imperial College London (2013 - 2023). This CDT provided PhD training in the mathematical and computational techniques needed to understand, predict and quantify risk and uncertainty for extreme weather and climate change. 

PhD study

Embark on your mathematics PhD in a diverse, supportive environment where you'll receive expert doctoral supervision. 

Our centre leading interdisciplinary research on mathematics, physics, data science, meteorology and climate dynamics. 

Seminars and events

We regularly organise conferences, seminars, workshops and other departmental events.