Welcome to the Department of Mathematical Sciences
Mathematical Sciences at Durham offers a unique blend of high quality teaching and research in pure mathematics, theoretical physics, numerical analysis, biomathematics, statistics and probability theory. We pride ourselves on combining world-leading research with commitment to the learning experience of our undergraduate and postgraduate students. Our core objective is to achieve and maintain academic excellence in an environment recognising diversity and a healthy gender balance as undeniable strengths, and to lead by example in our efforts to inspire our young mathematicians, students and researchers, to embrace a career that will continue to provide what attracted them to a Maths degree: the fun of mathematics, its sheer elegance and understated beauty, and the thrill of solving puzzles.
The curriculum and degree structure is frequently revisited and modernized to provide our students with the best possible mathematical and general skills, so that they adapt swiftly in a rapidly changing professional environment. For example we now have a new degree programme with a year in industry that will give interested students practical experience of problem solving in a commercial environment as well as enhance their employability. Read more...
Professor Anne Taormina
Head of Department
- Lectureship in Particle Theory
- Lectureship/Senior Lectureship in Particle Theory
- Iain MacPhee Memorial Day - 3 April 2014
- John Hunton is the new Publishing Officer of the LMS
- Collingwood Lecture 2013 a big hit
- 100th LMS symposium
- The Maths Bike Ride - 16 June 2013
- Gangl style
- Durham Maths and the African Institute for Mathematical Sciences
ECS-Mathematical Sciences Energy Seminars: Measurement-based identification of power system dynamic model & Numerical Methods for Optimal Control
16 May 2012 14:00 in E240
Janusz Bialek - Measurement-based identification of power system dynamic model (or inverse-engineering approach to eigenanalysis).
Eigenanalysis is a standard tool to analyse power system dynamics whereby the response of a high-order dynamic system is represented as superposition of responses of first- and second-order systems (so-called modes) defined by eigenvalues of the system state matrix. Obviously to determine eigenvalues it is necessary to know the full system model (i.e. the state matrix). This talk will describe an attempt at inverse-engineering eigenanalysis when the unknown system model is extracted from measurements of system modes and mode shapes. Professional help from linear algebra mathematicians is required to explain unexpected results when it was possible to extract the system model from an incomplete set of measurements.
Max Jensen - Numerical Methods for Optimal Control
I begin this short talk reviewing classical results from optimal control theory to place the approach by Bellman into a wider context. I then describe why the numerical solution of the Bellman equation remains a challenging problem. I conclude with some examples to show how this approach has been used to problems in energy production and finance.
Mathematical modelling underlies much of energy engineering. At Durham, relevant engineering research ranges from power network reliability, economics and planning, through reliability analysis of generation units, to computational fluid dynamics models of wind and steam turbines. For this reason, ECS and Mathematical Sciences are organising a joint seminar series to explore opportunities for future collaborative research and grant proposals.
Each seminar will consist of a 20-30 minute talk from each discipline, followed by an extended discussion. While these seminars are open to any Durham researcher, the series is tightly focused on discovering topics for future external proposals between the Mathematical Sciences and ECS.
A selection of recent grants
- SPOCK: Scientific Properties Of Complex Knots (Leverhulme Trust Research Programme Grant, Paul Sutcliffe)
- SPiN: Symmetry Principles in Nature (ERC Consolidator Grant, Mukund Rangamani)
- Measures of Holographic Information (Foundational Questions Institute, Veronika Hubeny)
- Theory of Badly Approximable Sets (EPSRC First Grant, Dzmitry Badziahin)
- Troffaes, Matthias C. M., Walter, Gero & Kelly, Dana (2014). A robust Bayesian approach to modelling epistemic uncertainty in common-cause failure models. Reliability engineering & system safety 125: 13-21.
- Bissell, J. J., Caiado, C. C. S., Goldstein, M. & Straughan, B. (2014). Compartmental modelling of social dynamics with generalised peer incidence. Mathematical models and methods in applied sciences 24(4): 719–750.
- Andrade, Tomas, Fischetti, Sebastian, Marolf, Don, Ross, Simon F & Rozali, Moshe (2014). Entanglement and correlations near extremality: CFTs dual to Reissner-Nordström AdS5. Journal of High Energy Physics 2014(4): 23.
- Abellán, J., Baker, R.M., Coolen, F.P.A., Crossman, R.J. & Masegosa, A.R. (2014). Classification with decision trees from a nonparametric predictive inference perspective. Computational Statistics & Data Analysis 71: 789–802.
- Dechant, Pierre-Philippe (2014). A Clifford algebraic framework for Coxeter group theoretic computations. Advances in Applied Clifford Algebras 24(1): 89-108.
Durham DH1 3LE
Order a prospectus
Durham University's Undergraduate Prospectus for 2014 entry now available here
The Maths Faculty provides free, short films of university lecturers speaking on topics directly from the A-level curriculum.
MSc in Particles, Strings and Cosmology
MSc in Mathematical Sciences
MSc in Biophysical Sciences
The department is involved in the delivery of the new MSc. in Biophysical Sciences.