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Alumni Newsletter

June-2016-Alumni-Newsletter

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presentation on the business challenges that either Mercer<br />

or Morgan Stanley will face over the next five years. The<br />

presentations and prize-giving took place on Wednesday<br />

16th March 2016, with all participants receiving certificates.<br />

The six finalists were also awarded £20 Amazon vouchers.<br />

2016 Interview Programme Head of School. winners announced<br />

After deliberation by the judging panel, Molly Reeve (below<br />

left with Professor Peter Duck), a second year Mathematics<br />

and German student was chosen as the overall winner, with<br />

Joseph Leach (below right), a first year MMath student being<br />

awarded second place. Both Molly and Joseph were<br />

awarded their winners' certificates by Professor Peter Duck,<br />

During the summer holidays, Molly will travel to Morgan<br />

Stanley’s offices in Canary Wharf, London for her work<br />

shadowing experience, including a Manchester alumni networking<br />

lunch. Joseph will also take up his prize of work<br />

shadowing with Mercer at their Manchester base, as well as<br />

a networking lunch.<br />

The School of Mathematics congratulates all the participants<br />

of this year’s Interview Programme.<br />

Deep Space, Time, and Probability<br />

By Peter Johnson<br />

Imagine you are betting on some dice being rolled. The dice are fair, however, after a period of time, they are secretly replaced<br />

by weighted dice. Clearly you need to detect this change very quickly and accurately, so you can call your opponent<br />

a cheat or adjust your betting strategy. However, after how many unusual dice rolls would you decide the dice are surely<br />

weighted?<br />

Detecting changes in random processes such as this, as quickly and accurately as possible, is important for many scenarios.<br />

Examples include: detecting a plane using radar; identifying nuclear material at ports; reacting to breakages in atomic<br />

clocks on satellites or; determining when is the best time to buy/sell stocks and shares. Using advanced applied probability,<br />

it is possible to provide an 'optimal' time to stop and<br />

declare that a change has occurred (optimal in the sense<br />

of after the change) with a fixed probability of error.<br />

The previous best image of Pluto taken using the Hubble telescope and an image<br />

from the New Horizons mission 2015.<br />

At The University of Manchester, we have a strong<br />

group in applied probability working on research which<br />

looks at problems of this type. Most recently Prof. Goran<br />

Peskir was involved in helping engineers from NASA<br />

detect an unusual change on-board the New Horizons<br />

space craft which was launched in 2006. One of the satellite’s<br />

main aims was to take the stunning photographs<br />

of Pluto which appeared in the news in late 2015.<br />

The satellite has two on-board quartz clocks which are<br />

relied upon to beam accurate data back to earth. Due to<br />

the speed and gravitational effects of the satellite,<br />

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