Martín Sombra

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

Present and upcoming activities [archives]

• 7 - 11 June 2021: MEGA 2021 at Tromso, Norway
• 19 - 24 July 2021: MCA 2021 at Buenos Aires, Argentina

Some recent talks

• The zero set of the independence polynomial of a graph, talk at the Felipe's fest at Berlin, Germany, August 2019
• 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
  

Recent texts A Macaulay formula for the sparse resultant Convex analysis on polyhedral spaces The flex locus of a hypersurface Factorization of sparse polynomials and the toric Bertini's theorem Multivariate residues and an arithmetic elimination theorem A toric dictionary in arithmetic geometry: Part I, Part II, Part III, Part IV, and Part V

Here is my complete list of publications