Orchid

Andrea Petracci

I am a Research Fellow at the School of Mathematical Sciences of the University of Nottingham, working with Alexander Kasprzyk.
I graduated from Imperial College London in September 2017 and my advisor was Alessio Corti. Before that I studied in Pisa (Italy).
Here is my CV.

My e-mail address is: Andrea.Petracci[at]nottingham.ac.uk
My permanent e-mail address is: andrea.petracci[at]alumni.sns.it

Address: School of Mathematical Sciences
University of Nottingham
University Park
Nottingham
NG7 2RD
United Kingdom


Research

Algebraic geometry is the area of my work. My interests lie in the classification problem of Fano varieties and I am especially interested in toric geometry, deformation theory, Gromov-Witten theory and the Gross-Siebert program.

Here is the list of my works:

  1. Homogeneous deformations of toric pairs. arXiv:1801.05732
  2. (with A. Oneto) On the quantum periods of del Pezzo surfaces with 1/3(1,1) singularities. To appear in Adv. Geom. arXiv:1507.08589
  3. (with M. Akhtar, T. Coates, A. Corti, L. Heuberger, A. Kasprzyk, A. Oneto, T. Prince, K. Tveiten) Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces. Proc. Amer. Math. Soc. 144 (2016), no. 2, 513-527. doi.org/10.1090/proc/12876 arXiv:1501.05334

Theses

My PhD thesis about Mirror Symmetry for Fano varieties and for singularities, written under the supervision of Alessio Corti (Imperial College London), September 2017
My MSc thesis about the moduli stack of curves and hyperelliptic curves, written under the supervision of Angelo Vistoli (Scuola Normale Superiore di Pisa), March 2013
My BSc thesis (in Italian) about the Lefschetz hyperplane theorem, written under the supervision of Rita Pardini (Università di Pisa), July 2010

Other documents

A poster about Kontsevich formula of plane rational curves and Gromov-Witten invariants, written together with Francesca Carocci
A poster about Mirror Symmetry and Fano varieties
Some slides (in Italian) on the moduli stack of curves and hyperelliptic curves, May 2013
Some slides (in Italian) on Cayley-Bacharach properties in algebraic geometry, May 2011

Other activities

In the academic year 2014-2015, together with Lars Sektnan, I organised the Junior Geometry Seminar at Imperial College.
In April 2014 I co-organised the Traumatic Workshop: Birational Geometry and Fano Varieties at Imperial College.
In December 2013, together with Andrea Fanelli, I took photos for the charity calendar of the geometry group of Imperial College.