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Homepage of Lorenzo Fantini

Lorenzo
Institut Mathématique de Jussieu
Université Pierre et Marie Curie
4, place Jussieu
75252 Paris Cedex 05 - France

Office 1525-5-01 (fifth floor, between the towers 15 and 25)

Email: lorenzo.fantini@imj-prg.fr

About me

I am a postdoc of the ANR DEFIGEO, member of the group Analyse Algébrique of the Institut Mathématique de Jussieu, working with François Loeser.
Until recently, I was a postdoc at the École Polytechnique, in the group of Charles Favre. I obtained my PhD in 2014 from KU Leuven, under the supervision of Johannes Nicaise.
You can find out more about me in my CV.

Research interests

Algebraic geometry: non-archimedean geometry, singularity theory, tropical geometry and their interactions.
In particular, I am very interested in the connections between the singularities of algebraic varieties and the geometry of valuation spaces (especially from the point of view of Berkovich theory).

Publications and preprints

  1. "Galois descent of semi-affinoid spaces" (with D. Turchetti)
        – preprint, 27 pages (arXiv:1703.03698)
  2. "Normalized Berkovich spaces and surface singularities"
        – to appear in Transactions of the American Mathematical Society, doi:10.1090/tran/7209, 51 pages (arXiv)
  3. "Faithful realizability of tropical curves" (with M. Cheung, J. Park, and M. Ulirsch)
        – International Mathematics Research Notices, 2016(15), 4706–4727, 2016 (arXiv)
  4. "Normalized non-archimedean links and surface singularities"
        – Comptes Rendus Mathematique, 352(9), 719–723, 2014 (Pdf)