Dr. Roberto Laface

Technische Universität München
Zentrum Mathematik - M11
Boltzmannstr. 3
85748 Garching bei München

Büro:         MI 02.12.039
Telefon:     +49 89 289-17060
Email:        laface 'at' ma.tum.de




I am currently a post-doctoral researcher in the group of Prof. Dr. Christian Liedtke, financed by the ERC Consolidator Grant: K3CRYSTAL. Previously I was a research assistant at Leibniz Universität Hannover, where I got my Ph.D. under the supervision of Prof. Dr. Matthias Schütt.

Research Interests

My main research interests lie in arithmetic and algebraic geometry. More precisely, my current interests include (but they are not limited to):

  • geometry and arithmetic of K3 surfaces, in particular singular and supersingular;
  • linear series and related topics, in particular the Bounded Negativity Conjecture;
  • algebraic geometry in positive characteristic;
  • abelian varieties, and their moduli spaces.


  • September 2013 / October 2016: Ph.D. in Mathematics at Leibniz Universität Hannover
  • October 2011 / July 2013: M.Sc. in Pure Mathematics at Università degli Studi di Milano
  • September 2008 / October 2011: B.Sc. in Pure Mathematics at Università degli Studi di Milano


  • April 2017 / - : Postdoctoral researcher at Technische Universität München
  • March 2016 / April 2016: Visiting scholar at the IHÉS
  • November 2013 / October 2016: Associate member of GRK 1463 "Analysis, Geometry and String Theory"
  • Sep 2013 / March 2017: Research assistant at Leibniz Universität Hannover
  • Aug 2012 / June 2013: Visiting student at the Matematisk Institutt, Universitetet i Bergen


Research Papers

  • "On the Picard numbers of abelian varieties in positive characteristic"
  • "Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces"
     (with Piotr Pokora) -- submitted
  • "The field of moduli of singular K3 surfaces"
  • "Local negativity of surfaces with nonnegative Kodaira dimension and transversal configurations of curves" (with Piotr Pokora) -- to appear in Glasgow Journal of Mathematics
  • "On the Picard numbers of abelian varieties"
     (with Klaus Hulek) -- to appear in Annali Scuola Normale Superiore di Pisa
  • "Decompositions of singular abelian surfaces"
     to appear in Asian Journal of Mathematics
  • "On the local negativity of surfaces with numerically trivial canonical class"
     (with Piotr Pokora) -- to appear in Rendiconti Lincei - Matematica e Applicazioni
  • "On isogenies of Prym varieties"
     (with César Martínez) -- Le Matematiche, Vol. LXXII (2017) – Fasc. II, pp. 131–140.
  • "On Zariski decomposition with and without support"
     Taiwanese Journal of Mathematics, Vol 20, No 4 (2016): pp. 755-767.

Event organization

  • Crystals and Geometry in Characteristic p at TU München (Germany) -- April 4-6, 2018
  • Géométrie Algébrique en Liberté XXV at University of Bath (UK) -- June 26-30, 2017
  • Workshop "Local negativity and positivity" at Leibniz Universität Hannover (Germany) -- March 7-10, 2017
  • Géométrie Algébrique en Liberté XXIV at Nesin Matematik Köyü (Turkey) -- June 13-17, 2016