## Postgraduate Seminars

### Autumn 2014

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

###### Peter Kilbride

Title: Freeze Concentration – Mathematical Modelling and Application to Low Temperature Biology

Abstract:

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

###### Huda Ramli

Title: Stochastic Modelling in Fluid Dynamics

Abstract:

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

###### Matt Wright

Title: TBC

### 30 October 2014

###### Alessandra Crisafi

Title: Optimal market making in lit and dark pools

### 6 November 2014

###### John Evans

Title: TBA

### 13 November 2014

###### Stephen Muirhead

Title: TBA

### 20 November 2014

###### Hui Gong

Title: TBA

###### Yan Long Fan

Title: TBA

### 27 November 2014

###### Anna Lambert

Title: TBA

###### Samire Balta

Title: TBA

###### Raul Sanchez Galan

Title: TBA

### 4 December 2014

###### Dimitrios Chatzakos

Title: What kind of
arithmetic objects live on the hyperbolic plane? (or, how to explain Prime
Number Theorem to a geometer)

Abstract:

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.

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