Professor of Mathematics
IMJ (Jussieu)
Faculty of Mathematics
UPMC - Paris 6

Head of the TGA project

Address:
IMJ - PRG
UMR 7586 CNRS
UPMC - Paris 6
Case 247
4 Place Jussieu
75252 Paris cedex 05
France

Email:
alessandro.chiodo(at)imj-prg.fr

Office:
16-26 509

Alessandro Chiodo

Works     Talks     Activities     Teaching     CV


Works:
  • Néron models of Pic0 via Pic0
    Preprint version

  • Semi-Calabi-Yau varieties and mirror pairs
    (with E. Kalashnikov and D. C. Veniani), Preprint version

  • The hybrid Landau-Ginzburg models of Calabi-Yau complete intersections
    (with J. Nagel), Preprint version

  • An algorithm computing genus-one invariants of the Landau-Ginzburg model of the quintic Calabi-Yau three-fold
    (report on joint work with Y. Ruan and D. Zvonkine)
    "Mirror Symmetry, Hodge Theory and Differential Equations" (Oberwolfach, 19- 25 April 2015)
    Oberwolfach Reports 2015, available here

  • Singularities of the moduli space of level curves
    (with G. Farkas), to appear in the Journal of the European Mathematical Society. Preprint version

  • Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
    (with H. Iritani and Y. Ruan)
    [arXiv] [journal] Publ. I.H.É.S., June 2014, Vol 119, Issue 1, pp.127-216

  • Syzygies of torsion bundles and the geometry of the level l modular variety over Mg
    (with D. Eisenbud, G. Farkas and F.-O. Schreyer)
    [arXiv] [journal] Invent. Math., 194 (2013), 73-118.

  • A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence
    (with Y. Ruan)
    [arXiv] [journal] Ann. Inst. Fourier, Vol. 61 no. 7 (2011), p. 2803-2864.

  • 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.


PhD and Habilitation dissertations:
  • Des structures de niveau à la symétrie miroir globale
    Mémoire d'habilitation à diriger des recherches, Institut Fourier, Grenoble, 2011.

  • Higher spin curves and the Witten top Chern class
    PhD Thesis, University of Cambridge, 2003.