Ludwik DąbrowskiSISSA, Room 610Phone: (+39) 0403787 422 Email: 
Teaching
Scientific Interests
Current Research Project
Past Research Projects
Forthcoming Conferences
Past Conferences
Publications
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Scientific Interests:

Analytic and geometric methods in mathematical physics. The main topics of research:
 Schroedinger and Dirac operators with singular potentials.
 Global properties of spinorial fields (spin structures) and gauge fields on (pseudo) Riemannian manifolds and their transformations under diffeomorphisms and other groups.
 Quantum groups (examples, representations and applications to exactly solvable models).
 Noncommutative geometry (construction of noncommutative manifolds, fibre bundles, sections, connections, nontrivial solutions, e.g. instantons, metric, the Diractype operator and spectral triples).
Research Projects:
 PRIN 2008: "Spectral analysis and symmetries in quantum mechanics and noncommutative geometry", 20102011
 PRIN 200608: "Noncommutative geometry of quantum groups and their homogeneous spaces"

PRIN2004 Research Project: "Symmetries, singularities and integrability problems
in noncommutative geometry"
 INTAS Research Project 00257 of the European Community
 PRIN2002 Research Project: "Singularities, Integrability, Symmetries"
 PRIN2000 Research Project "Singularities, Integrability, Symmetries"
 FriuliVenezia Giulia Research Project 1999 "Noncommutative geometry: algebraic, analytical and probabilistic aspects and applications to mathematical physics"
 "Geometric Analysis", Research Training Network of the European Commission
Conferences and other events:
 Quantum Geometry and Matter 2013 April 2013, Trieste
 Trails in a noncommutative land, Trieste May 1820, 2011
 Noncommutative geometry in representation theory and integrable systems, July 2023, 2009 Trieste
 Workshop on Noncommutative Manifolds II, October 2226, 2007 Trieste
 Sciences in Dialogue in the new Europe, June 2729, 2007 Trieste
 Thematic Program on Noncommutative Geometry and Quantum Groups, June 2030, 2006 Trieste
 Workshop on Noncommutative Manifolds, October 1822, 2004 Trieste
 Spectral Problems for Schroedingertype Operators, 1114 March, 2003
 NCG2001 Workshop on Quantum Field Theory, Noncommutative Geometry and Quantum Probability