Hessian equation theory in geometric analysis revolves around fully nonlinear partial differential equations whose leading term depends on the Hessian matrix of a scalar function. These equations ...

This year’s Fields Medal honors four mathematicians in their 30s who have made their mark in geometry and physics.

Computer graphics and geometry processing research provide the tools needed to simulate physical phenomena like fire and flames, aiding the creation of visual effects in video games and movies as well ...

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 ...

IN the Proceedings of the Royal Asiatic Society of Bengal, 1888, p. 76, Prof. Asutosh Mukhopadhyay has proposed a really excellent mode of geometric interpretation of differential equations in general ...