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School of Natural & Mathematical Sciences Department of Mathematics Department of Mathematics Taster Day 29 June 2012 Time 10:00 10:35 10:45 11:00 11:30 Event Coffee, Biscuits and Registration Professor Peter Sollich:Welcome & Introduction Venue The Terrace K2.31, Second Floor of the King’s Building K2.31, Second Floor of Deena Panthaky: Mathematics & Careers the King’s Building Dr Cristin Buescu: Randomness and the future: Mathematics and K2.31, Second Floor of the King’s Building Stochastic Differential Equations in Finance Given the prominence of randomness in Financial Modeling, we introduce briefly deterministic and stochastic differential equations, debating the notion of randomness and its manifestations in nature, also in connection with the problem of determinism and free will. We then explain in what stochastic differential equations differ from deterministic ones through examples, and consider their applications to mathematical finance. The significance of the Nobel awarded mathematical work of Black Scholes and Merton is considered, explaining how this helped generate a market of 7.8 x 10^14 (780 trillions) Dollars. We also explain how mathematics has been unjustly and superficially blamed for part of the financial crisis, highlighting some of the common misunderstanding concerned mathematical modeling work. K2.31, Second Floor of Dr Alessia Annibale: Protein interaction networks: a the King’s Building mathematical approach Protein interactions are vital for the correct functioning of cell signalling processes, a complex system of communication which governs and coordinate basic cellular activities and actions. Errors in cellular signalling processes may lead to diseases such as cancer, diabetes and autoimmunity. A major task of modern biomedical sciences is to understand how changes in the underlying structure of protein interaction networks affects the flow of information. Applied mathematics give us the tools to quantify the structure of networks, assess the significance of an observed patterns, define and generate random graphs as null models and analyse processes on random graphs as proxies. We will see how mathematics can help modern biomedical sciences to extract School of Natural & Mathematical Sciences Department of Mathematics 12:00 13:00 13:45 14:45 15:15 15:45 important information from the noisy large dataset which highthroughput proteomics has enabled us to draft in recent years. Strand Campus Walking Tour Meet outside K2.31 Buffet Lunch with academic staff The Terrace K2.31, Second Floor of Dr Payman Kassaei: Mathematics Competition the King’s Building K2.31, Second Floor of Dr Giuseppe Tinaglia: Geometry and Minimal Surfaces A surface that minimizes area for a given boundary is called a the King’s Building minimal surface. The study of minimal surfaces is very classical and in this talk we will discuss some of their geometric properties. K2.31, Second Floor of Dr Jan Gutowski: Black Holes The physics of massive objects over long distances is well the King’s Building described by classical general relativity. Small objects over short distances are well described by quantum mechanics. Black holes are massive objects, but they contain a singularity which is very small, so new physics unifying general relativity with quantum mechanics is needed to understand them properly. We describe some of the unusual properties of black holes, and how string theory has given us insights into their behaviour. Feedback Forms K2.31, Second Floor of the King’s Building