(Sintra, 2018)

Enrico Fatighenti

EPSRC Doctoral Prize Fellow, Loughborough University,

SCH.0.02 Schofield Building.

Epinal Way, Loughborough,

Leicestershire, UK, LE11 3TU

e-mail: enricofatighenti6 "at" gmail.com

News:

About:

I am a postdoc at Loughborough University (fancy job title above). I am sponsored by the EPSRC via this scheme.

Previously I was a postdoc for one year at Università Roma 3, sponsored by MIUR-project FIRB 2012 "Moduli spaces and their applications" . Even before, I got my PhD in 2017 at the University of Warwick, with Miles Reid as advisor. Broadly speaking I am an Hodge theorist: you can find below an (almost) detailed list of my research interests. For a more detailed CV click here.

Research interests:

  • Fano manifolds of K3 and Calabi-Yau type and link with hyperkähler geometry. Explicit construction of surfaces of general type with small pg,K2 and Calabi-Yau quotients in low dimension. Explicit constructions of varieties in Grassmannians, mainly as zero set of section of homogeneous vector bundles and their Hodge theory.
  • Fano and Calabi-Yau varieties in Weighted Projective Spaces. Explicit birational classification, especially of Q -Fano threefolds.
  • Problems in Hodge Theory: Torelli-type. Links between Hodge Theory and deformation problems (e.g. deformation of cones).

Preprints and publications:

  1. Surfaces of general type with p_g=1, q=0 and Grassmannians, [arXiv:1802.04643]
  2. A note on a Griffiths-type ring for complete intersections in Grassmannians, with Giovanni Mongardi, [arXiv:1801.09586]
  3. Hodge theory in Grassmannians, PhD Thesis (University of Warwick, 2017), [download]
  4. Hodge numbers and deformations of Fano 3-folds, with Gavin Brown, [arXiv:1707.00653]
  5. Weighted Fano varieties and infinitesimal Torelli problem, with Luca Rizzi and Francesco Zucconi, Journal of Geometry and Physics, to appear. [arXiv:1611.05355]
  6. Hodge Theory and deformations of affine cones of subcanonical projective varieties, with Carmelo Di Natale and Domenico Fiorenza, J. London Math. Soc., 96 (3): 524–544 (2017). doi:10.1112/jlms.12073. [arXiv:1512.00835, journal]

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