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 ...

This thesis is mainly concerned with the study of hypersymplectic structures in gauge theory. These structures arise via applications of the hypersymplectic quotient construction to the action of the ...

Abstract: The knowledge of yaw and pitch angles can provide significant benefits while assessing the performance of a projectile as it approaches the terminal stage of flight. It is typical in ...

We describe some recent work on certain nonlinear elliptic equations from geometry. These include the problem of prescribing scalar curvature on 𝕊 n, the Yamabe problem on manifolds with boundary, ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

The Mathematics Program of Knut and Alice Wallenberg Foundation this year grants SEK 35 million to 16 researchers, three of them belonging to the Department of Mathematical Sciences, Chalmers ...

Abstract: In this article, a geometry-informed neural operator with learnable activation functions is proposed. It incorporates a data-driven approach for solving the electric field integral equation ...