| Node | Principal investgator | Research themes | 
|    Catania  | 
  Francesco Russo  | 
1) A- Classical methods in algebraic geometry. 2) A- Lefschetz properties of Artin algebras. 3) A- Artin algebras of 0-dimensional schemes in Segre products. 4) C- Geography of surfaces of general type with isotrivial fibrations.  | 
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|    Ferrara  | 
   Massimiliano Mella  | 
1) A- Projective and birational classification. 2) A- Birational geometry of uniruled varieties. 3) C- Families of curves on algebraic surfaces. 4) F- Tensor decomposition and identifiability.  |  
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|    Firenze  | 
   Massimiliano Mella  | 
1) A- Classical methods in algebraic geometry. 2) A- Hilbert schemes of points in Segre products. 3) F- Tensor decompositions with applications. 4) F- Effective numerical methods in algebraic geometry.  | 
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|    Genova  | 
   Aldo Conca  | 
1) A- Syzygies theory and methods of commutative algebra. 2) A- Positivity conditions in adjunction theory. 3) D- Classification of elliptic Calabi Yau fibrations. 4) F- Methods of computational algebraic geometry.  | 
  
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|      Milano  | 
      Bert Van Geemen  | 
1) A- Adjunction theory and birational classification. 2) B- Moduli spaces of curves and related topics. 3) C- Geometry and moduli of hyperkahler varieties. 4) D- Calabi Yau geometry, with derived categories.  | 
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|    Pisa  | 
   Rita Pardini  | 
1) A- Syzygies theory and methods of commutative algebra. 2) B- Curves on algebraic surfaces and their moduli. 3) C- Geography and moduli of surfaces of general type.  | 
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|    Roma Tre  | 
   Alessandro Verra  | 
1) A- Rationality problems for varieties and moduli. 2) A- Birational geometry in higher dimensions. 3) B- Curves and moduli spaces related to curves. 4) E- Tropicalization of moduli spaces.  | 
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|    Roma Tor Vergata  | 
      Flaminio Flamini  | 
1) A- Classical projective methods in algebraic geometry. 2) A- Cremona transformations. 3) B- Families of curves on K3 surfaces. 4) D- Compactifications of families of hyperkahler varieties.  | 
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|      S.I.S.S.A  | 
      Ugo Bruzzo  | 
1) B- Moduli of linear series on curves: compactifications and wall crossing. 2) D- Gromov-Witten invariants of weighted c.i. Calabi Yau 3-folds. 3) D- Moduli of framed sheaves and interactions with physics.  | 
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|    Politecnico di Torino  | 
      Gianfranco Casnati  | 
1) A- Birational geometry of Fano varieties. 2) A- Hilbert schemes of points in Segre products. 3) A- Effective parametrizations of Hilbert schemes. 4) F- Tensor decomposition with applications to several fields.  | 
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|    Trento  | 
    Marco Andreratta  | 
1) A- Birational and projective methods of classification. 2) B- Moduli of curves and related topics. 3) C- Geography of surfaces, and threefolds, of general type. 4) F- Combinatorial methods in algebraic geometry with applications.  | 
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|     Trieste  | 
     Emilia Mezzetti  | 
1) A- Pseudo-automorphims of rational varieties and group actions. 2) A- Birational and projective classification of algebraic varieties. 3) A- Lefschetz properties of Artinian algebras. 4) D- Effective methods in algebraic geometry.  |