2020 Mathematical Sciences Newsletter

Excellence In Discrete & Convex Geometry

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Research Roundup Article: Excellence In Discrete & Convex Geometry

The image on the cover depicts a closed curve in three- dimensional space and a parallelogram that is inscribed by this curve. In recent work that was published in Forum of Mathematics, Sigma Assistant Professor Florian Frick and his co-authors proved that every close curve in the three-dimensional space inscribes such a parallelogram. This resolves a nearly 50-year-old conjecture of Hadwiger and is closely related to the square peg problem, which is a notoriously difficult open problem that was originally posed by Toeplitz over 100 years ago. Read the Article in Research Roundup