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These seminars will take place on Thursdays at 5pm on an (almost) weekly basis in Room M304 in the Kathleen Lonsdale Building (5 Gower Place). See the link to the map for the Kathleen Lonsdale Building for further details. Talks are being given by 2nd and 3rd year Mathematics PhD students for PhD students. They are generally followed by tea and biscuits in the Mathematics Department Staff Room (Room 606, 25 Gordon Street), around the corner from the Kathleen Lonsdale Building- see how to find us for further details.
2 October 2014 in room D103, 25 Gordon Street
Title: Freeze Concentration – Mathematical Modelling and Application to Low Temperature Biology
Freeze concentration is the redistribution of solute molecules as a liquid solidifies. As an ice matrix forms through a solution, impurities in the solution are excluded from the ice front. This causes the liquid phase to become more concentrated, with the solid phase becoming a more pure solvent. This effect – known as freeze concentration - is ideal for desalination of seawater or concentrating fruit juices for transportation, however it can be damaging when observed in low temperature biology. This seminar will cover mathematical models for predicting freeze concentration, and apply these models to experimental data.
16 October 2014 in 26 Gordon Square room B32
Title: Stochastic Modelling in Fluid Dynamics
Most numerical methods for simulating advection-diffusion processes can be split into Eulerian and Lagrangian. The Eulerian method solves the transport equation in a fixed spatial grid, whereas the stochastic Lagrangian approach follows particles through space at every time-step. In this talk I will introduce the numerical methods to determine the trajectories of discrete particles which are governed by stochastic differential equations (SDE). The stochastic ensemble can then be transformed into a continuous probability function using kernel density estimation, in order to synchronize with the Eulerian concentration that is described by the underlying advection-diffusion PDE.
23 October 2014
30 October 2014
Title: Optimal market making in lit and dark pools
6 November 2014
13 November 2014
20 November 2014
Yan Long Fan
27 November 2014
Raul Sanchez Galan
4 December 2014
Title: What kind of
arithmetic objects live on the hyperbolic plane? (or, how to explain Prime
Number Theorem to a geometer)
Analysis on the hyperbolic plane arises in many different arithmetic problems. However, there exists a deeper connection between number theory and curved surfaces. I will try to explain in which sense the geometry of the hyperbolic plane has, itself, an “arithmetic” behavior.