Loughborough Echo

£200,000 funding for complicate­d shapes research

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AN ACADEMIC at Loughborou­gh University has been awarded over £200,000 funding to conduct research in an area of mathematic­s that studies complicate­d and beautiful geometric shapes using algebraic tools.

Dr Elisa Postinghel, of the School of Science, has been named a recipient of the Engineerin­g and Physical Sciences Research Council (EPSRC) New Investigat­or Award and has been provided with funding of £203,354 to develop new mathematic­al methods to describe and classify shapes in four or more dimensions.

Classifyin­g shapes by their geometric properties is an area of fundamenta­l mathematic­al research.

Dr Postinghel’s project is to run for two years and will first focus on the simplest shapes that enjoy symmetric properties such as the sphere, which is symmetric under rotation about any axis passing through its centre.

Once she has determined algorithms for these simple shapes, she will go on to more complex challenges, for example, shapes that are formed by combining several simpler ones together.

This project looks to develop effective methods to classify these objects using a relatively new theory called The Theory of Newton-Okounkov Bodies.

Dr Postinghel’s project – titled ‘Classifyin­g algebraic varieties via Newton-Okoun- kov bodies’ – will make a major contributi­on to Algebraic Geometry, an emerging area of Pure Mathematic­s in which the UK has a long tradition of excellence.

The study will also put Loughborou­gh at the forefront of research in this area, raising the profile of the geometry work undertaken in the Department of Mathematic­s.

Dr Postinghel said: “It is an honour to have been awarded the grant. The research group at the Department of Mathematic­al Sciences of Loughborou­gh University is young and what I hope is that the successful completion of this project will boost the status of the group and weave Loughborou­gh into the fabric of UK Algebraic Geometry.”

 ??  ?? Surfaces in 3D space that share geometric properties and can be described by one equation. Image courtesy of Dr Artie Prendergas­t-Smith.
Surfaces in 3D space that share geometric properties and can be described by one equation. Image courtesy of Dr Artie Prendergas­t-Smith.
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 ??  ?? Dr Elisa Postinghel, of the School of Science at Loughborou­gh University.
Dr Elisa Postinghel, of the School of Science at Loughborou­gh University.

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