Exploring the multifaceted beauty of mathematics
Unconstrained research at all levels of abstractness
The unprecedented explosion of innovation in the last century came from or was facilitated by mathematics. Paving the way for the next 200 years, the Department of Mathematics undertakes unconstrained research in Algebra & Number Theory, Geometry & Topology, Probability & Stochastic Analysis, Statistics & Data Science, Discrete & Geometric Analysis.
Multifaceted mathematical research for tomorrow’s challenges
A team of highly recognized mathematicians
Our researchers are part of a worldwide collaborative network in Algebra & Number Theory, Geometry & Topology, Probability & Stochastic Analysis, Statistics & Data Science, Discrete & Geometric Analysis
Thanks to its unique geometry, DMATH develops highly respected mathematical research that is published in top journals and has a high success rate in attracting competitive funding from Luxembourg and the EU. Our relatively large team structure, each with a variety of expertise and experience, is instrumental to our achievements.
On a more interdisciplinary level, we interact with physics, economics, medicine, and computer science on topics with potential applications, for example in cryptography, finance, astronomy, and even sports injury.
At DMATH, we believe in original thinking and disrupting stereotypes. With our teaching staff we present varied role models to students. The department is also particularly involved in bringing research-level mathematics to the attention of a wider public. Developing tools and demonstrators for these outreach activities involves all our teams and stimulates our creative thinking.
Our research groups
- Investigating numbers (Antonella Perrucca)
- Discovering structures in numbers (Gabor Wiese)
- Geometric structure and moduli spaces
- Revealing order in randomness (Giovanni Peccati)
- Exploring the beauty of shapes (Hugo Parlier)
- Exploring the unpredictable (Ivan Nourdin)
- Mathematical laws through equations (Jean-Luc Marichal)
- Statistical analysis of stochastic processes (Mark Podolskij)
- Geometry through categories and noncommutative algebra (Pieter Belmans)
- Derived algebraic geometry and its applications (Sarah Scherotzke)
- Graph complexes in algebra, geometry and physics (Sergei Merkulov)
- Who understands the data has a serious advantage! (Team MIDAS)
- Non-classical logics (Team Teheux)
- Developing contemporary mathematical statistics (Yannick Baraud)
Our research groups
Mathematics is both a science and an art, which inspires our 16 professors to develop exciting research in multiple directions. Through transversal and common activities, doctoral candidates build a sense of belonging. DMATH regularly hosts stimulating seminars, with renowned visitors from all over the world.