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MAN-10265 MAGAZINE.indd - Mansfield College - University of Oxford

MAN-10265 MAGAZINE.indd - Mansfield College - University of Oxford

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Fellowship Pr<strong>of</strong>i le: Janet Dyson<br />

For as long as I can remember I wanted to do Maths, and I<br />

could never really imagine doing anything else. It can be an<br />

intensely frustrating business, but when it goes well it gives<br />

me a tremendous buzz. So, despite the fact that at my direct<br />

grant school in Brighton, young ladies didn’t do science,<br />

and my Chemist parents felt that it wasn’t a suitable career<br />

for a woman, I came up to <strong>Oxford</strong> (St Hugh’s) in 1967 to<br />

read Maths, and I’m still here.<br />

I’ve been at Mansfi eld since 1977, when I was recruited<br />

to teach the fi rst four undergraduate mathematicians to<br />

be admitted. We have come a long way since then as we<br />

built up expertise in spotting talent, and in the best ways to<br />

support students. Our students are doing extremely well<br />

and in the past fi ve years more than 55% have got Firsts.<br />

Former Mansfi eld students are working successfully in a<br />

wide variety <strong>of</strong> occupations all over the world.<br />

In my research I apply rigorous mathematical methods to<br />

differential equations arising from various applied Maths<br />

problems. In my doctoral thesis I worked on a problem<br />

now known as the ‘pantograph equation’. This arose<br />

from the modelling <strong>of</strong> wave motion in the overhead wires<br />

delivering electricity to a train pantograph. The pantograph<br />

tended to bounce <strong>of</strong>f the wires, unless the wire supports<br />

were close enough together. The aim was to fi nd out how<br />

close the supports should be, but I was more interested<br />

in the Mathematics. The basic equation is a very elegant<br />

delay differential equation: y’(t)=ay(kt)+by(t), where t is<br />

nonnegative, and a, b, k are constants with 0

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