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Department of Mathematical Sciences


The department is part of a number of scientific networks, among which:


The North British Mathematical Physics Seminar was officially established on 1 October 2001, with partial support from the London Mathematical Society in the form of a Scheme 3 grant. Its purpose is to allow mathematical physicists from the North of Britain to meet regularly. Four one-day meetings are held in rotation every year in Durham, Edinburgh, York and, in alternate years, Nottingham and Newcastle. All meetings are open to all.

See information and a schedule of upcoming meetings.


Gauge Theories provide the most successful framework for the description of nature, and in particular of high energy physics. However, extracting reliable predictions relevant for experiment from gauge theory has remained a major challenge which so far requires massive use of computer algebra. Over the last decade an entirely new approach to quantum gauge theories has begun to emerge, initiated by a celebrated duality between gauge and string theory. This has brought an area of science into gauge theory that seemed unrelated a few years before, namely the theory of low-dimensional statistical systems and strongly correlated electron systems. The paradigm governing this is to view "Gauge Theory as an Integrable System". The partners of this network represent different communities from gauge theory, statistical physics and computer algebra. With the proposed Initial Training Network we will carry the emerging multidisciplinary interaction to an entirely new level, bridging the gaps between our research fields in the context of graduate training activity. We believe that coordinated education of young scientists in all the tools under development from the different communities offers tremendous potential to make progress in the understanding and application of gauge theory. A group of carefully selected private sector partners will assist dissemination of results, methods and ideas into neighboring scientific disciplines as well as to the general public. At the same time, they will also be vital in preparing the early stage researchers for active and leading roles in academia and beyond.

See the GATIS web site for more information.


Annual two-day meetings on Integrable Models, Conformal Field Theory and related Topics, first held in 1995. Its goals are: the dissemination, explanation and discussion of recent exciting results in this field; to promote communication and collaboration within the UK Integrable Models and Conformal Field Theory community; to bring mathematicians and physicists working in this area together; to act as a forum for young researchers to present their work and to become known and integrated into the community.

See the UKICFT web pagefor more details.


The GEAR Network brings together researchers from 46 nodes in the U.S., Canada and Europe working in the area of GEometric structures And Representation varieties (GEAR). Its goal is to promote research interactions between network members, to facilitate cross-pollination of ideas between different research communities, and to train students and researchers to cross traditional mathematical boundaries.

See the GEAR web site for more information.


The North British Geometric Group Theory Seminar is supported by a London Mathematical Society Scheme 3 grant and a grant from the Edingurgh Mathematical Society. It meets four times a year for a half day of talks on geometric group theory and related topics.

See the NBGGT web site for more information.


Yorkshire and Durham Geometry Days has members from the universities of Durham, Leeds and York. It is supported by a London Mathematical Society Scheme 3 grant and holds meetings three times a year.

See the YDGD page for more information.

WaNDS Number Theory Group Meeting

The meetings of WaNDS, the Warwick-Nottingham-Durham-Sheffield Number Theory Group are jointly organised by the Universities of Durham, Nottingham and Sheffield, and occur at a regularly throughout the academic year. Financial support is provided by the London Mathematical Society through a Scheme 3 grant, currently administered by the University of Sheffield.

See the WaNDS page for more information.


Imprecise probability covers a wide range of mathematical models for uncertainty quantification which measure chance or uncertainty without sharp numerical probabilities. The Society for Imprecise Probability: Theories and Applications (SIPTA) aims to promote research on imprecise probability, through a series of activities for bringing together researchers from different groups, creating resources for information, dissemination and documentation, and making other people aware of the potential of imprecise probability models. Most notably, every two years, SIPTA organizes the International Symposium on Imprecise Probability: Theories and Applications (ISIPTA). These meetings are one of the primary international forums to present and discuss new results on the theories and applications of imprecise probability. Every other year, SIPTA organizes a summerschool, which aims to introduce interested students with the basics of imprecise probability topics, both theoretical and applied.

See the SIPTA web site for more information.


The PURE network (Probability, Uncertainty and Risk in the Environment) is a new Knowledge Exchange Network and Research Programme. Its aim is to be the leading national network bringing together researchers, industrialists, and policy-makers in uncertainty and risk for natural hazards, through collaborative working, knowledge exchange, and the development of best practice. It will help to shape the direction of future research and provide valuable information to practitioners in environmental risk management.

See the PURE web site for more information.


CliMathNet is a network which aims to bring together Climate Scientists and Mathematicians and Statisticians to answer the key questions around Climate modelling (in particular understanding and reducing uncertainties in observation and prediction). This is an area of science that ranges from numerical weather prediction the science underpinning the Intergovernmental Panel for Climate Change (IPCC).

See the CliMathNet web site for more information.


The purpose of the North British Differential Equations Seminar (NBDES) is to fund and sponsor visits to the UK of eminent mathematicians working in the area of differential equations (broadly interpreted). At present, the member institutions are:

  • in Scotland: Aberdeen, Dundee, Edinburgh, Heriot-Watt, Glasgow, Strathclyde and St. Andrews
  • in the North of England: Durham, Keele, Leeds and Manchester

See the NBDES web site for more information. The local liaison officer is David Bourne.