Ludwik Dąbrowski SISSA, Room 610 Phone: (+39) 0403787 422 Email:

Teaching
Scientific Interests
Current Research Project
Past Research Projects
Forthcoming Conferences
Past Conferences
Publications
Pictures
Links

Scientific Interests:

• Analytic and geometric methods in mathematical physics. The main topics of research:
  - Schroedinger and Dirac operators with singular potentials.
  - Global properties of spinor 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 and connections, nontrivial solutions (e.g. solitons & instantons), metric and curvature in terms of the Dirac-type operators and spectral triples).

Research Projects:

• PRIN 2008: "Spectral analysis and symmetries in quantum mechanics and noncommutative geometry", 2010-2011


• PRIN 2006-08: "Noncommutative geometry of quantum groups and their homogeneous spaces"


• PRIN2004 Research Project: "Symmetries, singularities and integrability problems in noncommutative geometry"
  
  
• INTAS Research Project 00-257 of the European Community


• PRIN2002 Research Project: "Singularities, Integrability, Symmetries"


• PRIN2000 Research Project "Singularities, Integrability, Symmetries"


• Friuli-Venezia 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 18-20, 2011


• Noncommutative geometry in representation theory and integrable systems, July 20-23, 2009 Trieste


• Workshop on Noncommutative Manifolds II, October 22-26, 2007 Trieste


• Sciences in Dialogue in the new Europe, June 27-29, 2007 Trieste


• Thematic Program on Noncommutative Geometry and Quantum Groups, June 20-30, 2006 Trieste


• Workshop on Noncommutative Manifolds, October 18-22, 2004 Trieste


• Spectral Problems for Schroedinger-type Operators, 11-14 March, 2003


• NCG2001 Workshop on Quantum Field Theory, Noncommutative Geometry and Quantum Probability