Postgraduate Seminars

Autumn 2017

These seminars (unless otherwise stated) will take place on Thursdays at 12pm in Maths Room 706 (25 Gordon Street) on an (almost) weekly basis - see the map for further details. Talks are being given by 2nd and 3rd year Mathematics PhD students for PhD students.

28 September 2017

Speaker: Matthew Scroggs

Supervisor(s): Prof Erik Burman

Title: The Fast Multipole Method

Abstract:
Over the last six months, I have been working on implementing the fast multipole method to speed up the computation of matrix-vector products in Bempp: the open-source boundary element code that my supervisor and I work on. The fast multipole method greatly decreases the time and storage space required when working with large matrices, and was named by SIAM as one of the top ten algorithms of the 20th century. I think it is "quite cool". In this seminar, I will show you what the fast multipole method is and how we apply it to boundary element method computations.

05 October 2017

Speaker: Belgin Seymenoglu

Supervisor(s): Dr Steve Baigent

Title: Invariant manifolds of another model from Population Genetics

Abstract:
I have been analysing a continuous-time model in Population Genetics which focuses on two evolutionary forces at play: selection and recombination. After plotting many phase plane diagrams for this system, I (almost) always found a stubborn special surface in my plots, which is called an invariant manifold. Now I have proved the manifold does indeed exist in the model for a certain case.

You can also look forward to a helping of colourful phase plane plots!

12 October 2017

Speaker: Eleanor Doman

Supervisor(s): Dr Nick Ovenden, Dr Rebecca Shipley, Dr James Phillips

Title: Modelling the Mechanical Properties of Peripheral Nerves

Abstract:
Peripheral nerves connect the brain to the rest of the human body. Any injuries to the peripheral nerves can cause loss of permanent of function and long lasting disabilities. The current gold standard treatment of nerve autograft currently only shows an improvement in 40-50% of patients. The UCL Centre for Nerve Engineering is developing new solutions to nerve repair problems. In this seminar I will talk about my own research into what determines the mechanical properties of nerves. I will speak about the methods such as asymptotic homogenization that I have been using and the links to classical solid and fluid mechanics I have used.

19 October 2017

Speaker: Desmond Xie

Supervisor(s): Dr Johannes Ruf

Title: Generalized Lyapunov function and functionally generated trading strategies

Abstract:
We investigate the dependence of functional portfolio generation on an extra finite variation process. The framework of Karatzas and Ruf (2017) is used to formulate conditions on trading strategies to be strong arbitrage relative to the market over sufficiently large time horizons. A mollification argument and Komlos theorem yield a general class of potential arbitrage strategies. These theoretical results are complemented by several empirical examples using data from the S&P 500 stocks.

26 October 2017

Speaker: Liam Escott

Supervisor(s): Prof Helen Wilson

Title: TBC

Abstract:
TBC

02 November 2017

Speaker: Nikoleta Kalaydzhieva

Supervisor(s): Prof Andrew Granville

Title: TBC

Abstract:
TBC

09 November 2017

Speaker: Alex Doak

Supervisor(s): Prof Jean-Marc Vanden-Broeck

Title: TBC

Abstract:
TBC

16 November 2017

Speaker: Antigoni Kleanthous

Supervisor(s): Dr Timo Betcke

Title: TBC

Abstract:
TBC

23 November 2017

Speaker:Marton Mester

Supervisor(s): Prof Gavin Esler

Title: TBC

Abstract:
TBC

30 November 2017

Speaker: Emily Maw

Supervisor(s): Dr Jonny Evans

Title: TBC

Abstract:
TBC

07 December 2017

Speaker: Various

Title: 5 Minute Christmas Talks

Abstract:
TBC

14 December 2017

NO SEMINAR