Department of Mathematical Sciences
Friday 12 and Saturday 13 June 2015 in the Business School: ICFT 2015 sponsored by the LMS and the IOP. A workshop gathering the UK community working in conformal field theory and integrable systems.
Wednesday 6 May at 11:00am in CM101: Pascal Lecture delivered by Professor Dimitri Petritis (Rennes) on `Gambling with classical or quantum dice: a guided tour from classical probability to quantum channels'
Tuesday 24, Wednesday 25 and Thursday 26 March 2015 in L47 (Psychology): David Evans, Matthew Elliott-Ripley, Kate Horner and Lauren Scanlon represent our Department at the Durham University Schools Science Festival. They will talk about applications of Knot Theory.
Monday 16 March to Friday 20 March 2015 in CM105: LMS Invited Lectures 2015: Michael Shapiro on Cluster Algebras and Integrable Systems.
Monday 16 March 2015 in CM211: LMS Mathematical Methods in Reliability Lecture Day on Uncertainty Quantification.
Thursday 5 March 2015 @ 5:15pm in CLC013: Public Lecture by Professor Reidun Twarock (York Centre for Complex Systems Analysis). `Geometry: A secret weapon in the fight against viruses'
Thursday 5 March 2015, 3:00pm - 5:00pm in Van Mildert College: Kate Horner and Lauren Scanlon lead a workshop targetting Y10+ on the theme of Knot Theory.
Thursday 26 February 2015 @ 4:00pm in CLC013: Collingwood Lecture 2015 by Professor Martin Hairer FRS, Fields Medallist 2014 (Warwick).`Taming Infinities'
Wednesday 11 June 2014 @ 2:00pm in CM101: Pascal Lecture 2014 by Professor Gary Gibbons FRS (Cambridge). `The solitons concept and gravity'
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
- New homotopy-type invariants of knots (EPSRC, Andrew Lobb)
- Photospheric Driving of Non-Potential Coronal Magnetic Field Simulations (US Air Force, Anthony Yeates)
- SPOCK: Scientific Properties Of Complex Knots (Leverhulme Trust Research Programme Grant, Paul Sutcliffe)
- SPiN: Symmetry Principles in Nature (ERC Consolidator Grant, Mukund Rangamani)
- Kurtek, S., Jermyn, I. H., Xie, Q. & Klassen, E. (2015). Elastic shape analysis of surfaces and images. In Riemannian Computing in Computer Vision. Turaga, Pavan K. & Srivastava, Anuj Springer.
- Simpson, A. (2015). The Anatomy of a Mathematical Proof: Implications for Analyses with Toulmin's Scheme. Educational Studies in Mathematics 90(1): 1-17.
- Gu, Jiao, Hua, Bobo & Liu, Shiping (2015). Spectral distances on graphs. Discrete Applied Mathematics 190-191: 56-74.
- Hunton, John (2015). Spaces of Projection Method Patterns and their Cohomology. In Mathematics of Aperiodic Order. Kellendonk, J., Lenz, D. & Savinien, J. Birkhäuser Basel. 105-135.
- Knieper, G. & Peyerimhoff, N. (2015). Geometric properties of rank one asymptotically harmonic manifolds. Journal of Differential Geometry 100(3): 507-532.