Quantum chemistry focuses on modelling and simulating the behaviour of molecular systems using the fundamental principles of quantum mechanics. However, the underlying equations, such as the Schrödinger equation for computing ...

The workshop ``Mathematical Imaging and Surface Processing'' is designed to foster exchange and collaboration between applied mathematicians and applied computer scientists on problems arising in computer graphics, ...

The Classification of Finite Simple Groups (CFSG) is considered to be one of the most important results of modern mathematics, and has led to many applications both inside and outside group theory. The theory of fusion ...

The joint workshop brought together leading experts from real algebraic geometry, computational algebra, polynomial optimization, and theoretical computer science. The event fostered vibrant interdisciplinary exchange, ...

AI is currently the central theme in science. Whereas the underlying algorithms rely on rather simple mathematical operations such as matrix-vector multiplications and applying non-linearities componentwise, deriving a ...

The mathematical study of quantum many-body physics has seen significant breakthroughs in the past 15-20 years. Mathematical physicists have approached these systems from different perspectives with different methods. The ...

In machine learning, a field addressing the extraction of information and structure from finite data with the means of computer science and mathematics, maps from finite-dimensional spaces of data or computations into ...

Over the last decade, deep generative modelling has emerged as a powerful probabilistic tool in machine learning. The idea behind generative modelling is simple: transform noise to create new data that matches a given ...

This Oberwolfach mini-workshop gathered mathematicians with an expertise in loop spaces, in order to discuss recent breakthrough results in this field, and the implications of these. A particular focus was given on recent ...