Competences
Main axes of research
The Mathematics Research Unit carries out research in mathematics, both on its fundamental and its applied aspects.
At the moment, the following three research directions are present:
- geometry and the mathematical theory of quantisation, including moduling space problems, differential operators, higher algebraic structures, mathematical aspects of string theory, singular spaces, sigma models, supergeometry, etc.
- non commutative harmonic analysis and related fields, including symmetries, Fourier decompositions, Lie groups, etc.
- probability theory and its applications, stochastic analysis, mathematical finance, decision theory, and operation research
A selection of topics close to applications includes:
- geometric methods for mechanical systems, fluid and deformable solid mechanics;
- nonlinear complex systems;
- symmetries and noncommutative analogs of Fourier decompositions;
- stochastic analysis including applications in mathematical finance;
- modelling and simulations, computer algebra;
- optimisation, decision theory.
Resources and collaborations
Equipment
- Mathematical Documentation Centre with an extensive collection of mathematics books and mathematics journal (paper version and on-line)
- Computer algebra systems
Products and services
- Consultancy in the mathematical fields of expertise of the institute
- Weekly seminars on general topics in mathematics, open to the public
- Supplying well-trained university graduates in mathematics capable of analysing complex systems and finding optimal and universal solutions for problems appearing in technology, sciences, commerce and finance
- PhD projects in collaboration with the industry
- Master thesis in collaboration with internships in companies
Major partnerships and collaborations
Cooperation agreements on joint research exist with the Polish Academy of Sciences and the Russian Academy of Sciences (Steklov Mathematical Institute, RU).
The Mathematics Research Unit is member of:
- ESF networking programmes Harmonic and Complex Analysis (HCAA), Interaction of Lowdimensional Topology and Geometry with Physics (ITGP);
- ESF scientific programme Advanced Mathematical Methods for Finance (AmaMeF).
Further international cooperations exist on individual level.
Additional information
- Weekly Mathematics Seminar
- Publications of the international mathematical research journal "Travaux Mathématiques"
- Master in Mathematics programme with two specialisations in the second year: General Mathematics and Financial Mathematics
- Organisation of international conferences in Luxembourg
- Member of several European research networks
Human resources
- 31 Researchers (Prof., ass. Prof., Post-docs, PhD)
- 11 Doctoral students and students
- 0 Engineers
- 0 Technicians
- 1 Other
Business sector(s)
- Mathematics
Contact
Mathematics Research Unit
Campus Kirchberg, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg
Luxembourg
Phone: +352 46 66 44 66 76
Fax: +352 46 66 44 69 44
Email: katharina.heil@uni.lu
Site: http://math.uni.lu
R&D Contact
Prof. SCHLICHENMAIER Martin
Head of the Mathematics Research Unit
Phone: +352 46 66 44 62 36
Email: martin.schlichenmaier@uni.lu
