Curvature equations lie at the heart of differential geometry and the analysis of hypersurfaces, providing a rigorous framework for understanding the intrinsic and extrinsic geometric properties of ...

Conformal geometry examines transformations that preserve angles, revealing deep interrelations between geometry and analysis. When combined with nonlinear elliptic equations—which are characterised ...

The members of the group Geometric Analysis and Quasiconformal Geometry have broad interests in analysis and geometry. Active research topics include quasiconformal analysis and partial differential ...

For a century, the Schrödinger equation has been the bedrock of quantum mechanics, successfully predicting how matter behaves as a wave. Yet, physics has lacked a fundamental explanation for why ...

Math underlies many of the art pieces M.C. Escher created, because he was fascinated with the idea of depicting infinity in various ways, producing infinitely repeatable patterns known as ...

Neuroscientists are exploring whether shapes like squares and rectangles — and our ability to recognize them — are part of what makes our species special. Credit...Video by Yoshi Sodeoka Supported by ...