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Monday, January 04, 2021

Studying abstract mathematical equations using tangible surfaces | Mathematics - Mirage News

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On January 5, Rosa Winter will obtain her doctorate in arithmetic geometry, inform Dorine Schenk, science journalist.

Photo: Leiden University

She researched solutions of equations that define so-called ‘del Pezzo surfaces’. ‘I like geometry because I can imagine and draw the shapes and objects,’ says Winter. ‘That makes abstract mathematics feel more tangible.’

In mathematics, it is sometimes useful to study abstract equations using geometric objects, such as circles, spheres, octahedra, or even higher-dimensional objects. The field that connects geometry with abstract equations is called arithmetic geometry. PhD candidate Rosa Winter applied this specific type of geometry in her thesis...

Since September, Winter has been working as a postdoc at the Max Planck Institute for Mathematics in the Sciences in Leipzig. Here she learns, among other things, how to apply geometry and abstract mathematics in other sciences, like biology and physics.

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Source: Mirage News