Martín Sombra

Research interests: algebraic & Diophantine geometry, Arakelov geometry, combinatorics, computer algebra, complexity of algorithms

Present and upcoming activities [archives]

• 5 - 7 August 2019: visit of José Ignacio Burgos (ICMAT, Madrid)
• 19 - 23 August 2019: Felipe's fest at Berlin, Germany
• 19 - 23 August 2019: workshop Toric geometry at MFO, Oberwolfach, Germany
• 15 - 24 June 2020: conference Foundations of Computational Mathematics (FoCM 2020) at Vancouver, Canada

Some recent talks

• Measuring the solution set of a system of polynomial equations, talk at the BGSMath María de Maeztu unit of excellence closing workshop, UB, June 2019
• Macaulay style formulae for the sparse resultant, talk at the ARCADES Doctoral School II and ESR Days in Barcelona, UB, September 2018
• Where do the little points go?, plenary talk at the conference RSME-UMA, Buenos Aires, December 2017
• Factorization of sparse polynomials, talk at the FoCM 2017 Workshop on Computational Algebraic Geometry, Barcelona, July 2017
  
• El que diuen els nombres, Xerrades-Taller de la Facultat de Matemàtiques, UB, November 2015
  

Recent texts The flex locus of a hypersurface Factorization of sparse polynomials and the toric Bertini's theorem Multivariate residues and an arithmetic elimination theorem Reduction modulo primes of dynamical systems and the length of their orbits A toric dictionary in arithmetic geometry: Part I, Part II, Part III, Part IV, and Part V