Martín Sombra

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

Present and upcoming activities [archives]

• 29 October - 2 November 2018: research stay at Chalmers University of Technology & University of Gothenburg
• 17 - 21 June 2019: MEGA 2019 at Madrid, Spain
• 19 - 23 August 2019: Felipe's fest at Berlin, Germany
• 2 - 6 September 2019: conference "Geometry of arithmetic varieties" at BICMR, Beijing, China
• 15 - 24 June 2020: conference "Foundations of Computational Mathematics (FoCM 2020)" at Vancouver, Canada

Some recent talks

• 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
  
• Systems of polynomial equations, Colloquium of the Department of Mathematics of the U. La Plata, Argentina, December 2016.
• 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