Address:
Institut Fourier
U.M.R. CNRS 5582
U.F.R. de Mathématiques
Université de Grenoble 1
100, Rue de Maths
BP 74, 38402
Saint Martin d'Hères
France

Tel.:
+33 (0)4 76 63 58 53

Email:
chiodo(at)ujf-grenoble(dot)fr

Personal:

Alessandro Chiodo (Institut Fourier)

• Syzygies of torsion bundles and the geometry of the level l modular variety over Mg
  (with D. Eisenbud, G. Farkas and F.-O. Schreyer), Preprint version
  
  
• Singularities of the moduli space of level curves
  (with G. Farkas), Preprint version
  
  
• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
  (with H. Iritani and Y. Ruan), Preprint version
  
  
• A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence
  (with Y. Ruan), Submitted to the Special Volume of the Ann. Inst. Fourier on the Workshop on Geometry and Physics of the Landau-Ginzburg model, Grenoble, 31/5-6/6/2010, Preprint version
  
  
• Des structures de niveau à la symétrie miroir globale
  Mémoire d'habilitation à diriger des recherches, Institut Fourier, Grenoble, 2011.
  
  
• LG/CY correspondence: the state space isomorphism
  (with Y. Ruan)
  [arXiv] [journal] Adv. Math., 227, Issue 6 (2011), 2157-2188.
  
  
• Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
  (with Y. Ruan)
  [arXiv] [journal] Invent. Math., 182, (2010), 117-165.
  
  
• Twisted r-spin potential and Givental's quantization
  (with D. Zvonkine)
  [arXiv] [journal] Adv. Theor. Math. Phys., 13, Number 5 (2009), 1335-1369.
  
  
• Quantitative Néron theory for torsion bundles
  [arXiv] [journal] Manuscripta Math., no. 129 (2009) 337-368.
  
  
• Towards an enumerative geometry of the moduli space of twisted curves and r-th roots
  [arXiv] [journal] Compos. Math., 144 (2008), Part 6, 1461-1496.
  
  
• Stable twisted curves and their r-spin structures (Courbes champêtres stables et leurs structures r-spin)
  [arXiv] [journal] Ann. Inst. Fourier, Vol. 58 no. 5 (2008), p. 1635-1689.
  
  
• The Witten top Chern class via K-theory
  [arXiv] [journal] J. Algebraic Geom., 15 (2006), 681-707.
  
  
• A construction of the Witten top Chern class in K-theory
  [journal] Contemp. Math. 403 (2006), Amer. Math. Soc., Providence, RI, 21-29.
  
  
• Higher spin curves and the Witten top Chern class
  PhD Thesis, University of Cambridge, 2003.