GRACE is a DTU within the Departments of Mathematics and Computer Science at the University of Luxembourg, funded by the FNR.
News
- November 1, 2024: official start of the project
- December 3, 2024: kick-off event
- December 4, 2024: Git for mathematicians
Description
The unifying basis for GRACE is a methodology rather than a specific research topic. This principle involves integrating diverse branches of mathematical research, often interconnected with other disciplines, using computational methods and tools to advance fundamental questions in both pure mathematics and its applications.
The GRACE team reflects this diversity of research topics, united by a common interest in using computational techniques. Three main and interrelated directions of research in GRACE can be identified:
- Number theory;
- Low-dimensional, combinatorial and conformal geometry; and
- Algebraic geometry, representation theory and logic.
The project aims to train a group of PhD candidates who will have in common a capability and commitment to use computational tools to make progress in fundamental mathematical questions. The use of computational tools is a deep and expanding trend in mathematical research, which in the foreseeable future will increasingly enhance research methods, and GRACE will thus advance the state-of-the-art. Computation has always been an essential part of mathematics, but harnessing the power of computers to perform calculations beyond what is usually possible is the important novelty.
GRACE will rely on its team of supervisors but also on its advisory board, which will play a key role in orienting the project. And, most, important, on the cohort of PhD candidates who will be onboarded, and take the leading role in one of the research projects offered.
There is also a page on the university website.