Martín Sombra

Full professor at UB
Research area: Algebra / Geometry

PhD in Mathematics obtained at Universidad de Buenos Aires, Argentina (1998)


Martín Sombra is an ICREA Research Professor at the UB. He did a PhD thesis at the University of Buenos Aires, and postdoctoral stays at the MSRI at Berkeley, the IAS at Princeton, and the IMJ at Paris. He was also a Maître de Conférences at the University of Lyon, and a Full Professor at the University of Bordeaux. He is a member of the Board of Directors of the FoCM Society, and of the Advisory Board of the MEGA conferences. He currently works on problems at the interface of Algebraic Geometry, Number Theory and Complexity Theory, and collaborates with research groups in Barcelona, Madrid, Paris, Caen, Bordeaux, Santiago de Chile and Rochester.

Research lines

  • Algebraic and Diophantine geometry
  • Arakelov geometry
  • Computer algebra
  • Discrete geometry

Selected publications

  • Arithmetic geometry of toric varieties. Metrics, measures and heights (with J. I. Burgos Gil and P. Philippon). Astérisque 360, Société Mathématique de France, 2014, vi + 222 pages
  • Quantitative equidistribution for the solutions of a system of sparse polynomial equations (with C. D’Andrea and A. Galligo). American Journal of Mathematics 136 (2014) 1543-1579
  • Height of varieties in multiprojective spaces and arithmetic Nullstellensätze (with C. D’Andrea and T. Krick). Annales Scientifiques de l’École Normale Supérieure 46 (2013) 549-627
  • Factoring bivariate sparse (lacunary) polynomials (with M. Avendaño and T. Krick). Journal of Complexity 23 (2007) 193-216
  • Sharp estimates for the arithmetic Nullstellensatz (with T. Krick and L. M. Pardo). Duke Mathematical Journal 109 (2001) 521-598