Research Article
Between 1998 and 2023, Norbert has published some 50 major research papers that have been cited in 25 fields, including global analysis, differential geometry, algebraic geometry, algebraic topology, homological algebra, category theory, number theory, functional analysis, partial differential equations, dynamical systems and ergodic theory, mechanics of particles and systems… The following article is based on the geometrization of a deformation quantization technique, was published in an A+ rated journal and cited over 80 times.
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From July 2022 to July 2024, Norbert served on the management committee of the European Cooperation in Science and Technology action CaLista, an EU-funded research and innovation network for Integrable Systems, Quantum Groups and Geometric Deep Learning.
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Our successfully led multi-year research projects include:
- Project R&D “Étude des déformations formelles des algèbres associatives canoniquement associées aux variétés différentielles”, University Center of Luxembourg, Ministry of National Education Luxembourg, 1996-1998, principal investigator
- Project R&D “Calculs cohomologiques liés à l’algèbre des opérateurs différentiels sur une variété”, University Center of Luxembourg, Ministry of National Education Luxembourg, 1999-2001, principal investigator
- NATO Project “Structure of the Lie algebra of differential operators between modules of densities”, North Atlantic Treaty Organization, 2002, project leader
- International meeting “Conference on Harmonic Analysis”, University Center of Luxembourg — University of Metz, September 9-12, 2002, National Research Fund Conference, co-organiser
- Project R&D “Quantification et cohomologies”, University of Luxembourg, Luxembourg Ministry of Culture, Higher Education and Research, 2002-2004, principal investigator
- International meeting “4th Conference on Poisson Geometry and related fields”, University of Luxembourg, June 7-11, 2004, National Research Fund Conference, main organizer
- Project R&D “Géométrie et Quantification”, University of Luxembourg, 2005-2007, principal investigator
- International meeting “Algebraic Aspects in Geometry”, Mathematical Research and Conference Center, Bedlewo (Poznan), October 17-23, 2007, European Science Foundation Research Conference, chairman
- Project R&D “Supergeometry and Quantization”, University of Luxembourg, 2008-2010, principal investigator
- Project R&D “Geometry, Algebraic Topology and Mathematical Physics”, University of Luxembourg, 2011-2014, principal investigator
- Twelve doctoral and postdoctoral National Research Fund Projects, 2007-2022, project author or co-author, supervisor, investigator
- University of Luxembourg Projects for seven doctoral and postdoctoral researchers, 2005-2022, supervisor, investigator
- Pride project “Geometric and Stochastic Methods in Mathematics and Applications”, National Research Fund, 2015 – 2020, member of the doctoral training unit
- Pride project “Geometry, probability and their synergies”, National Research Fund, 2017 – 2022, member of the successfully applying doctoral training unit
- Awards or financial support for various scientific activities: European Council, Polish Ministry for Science and Higher Education, French National Center for Scientific Research, International Center for Pure and Applied Mathematics
