Martín Sombra

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

Present and upcoming activities [archives]

• 13 - 15 December 2021: conference Symbolic and numerical algorithms in algebraic geometry at Buenos Aires, Argentina
• 23 - 25 May 2022: conference La grandezza dei punti piccoli at Pisa, Italy
• 20 - 24 June 2022: conference Effective methods in algebraic geometry (MEGA 2022) at Kraków, Poland
• 11 - 16 September 2022: Intercity seminar on Arakelov geometry at Madrid

Some recent talks

• The zero set of the independence polynomial of a graph [presentation], talk at the Seminario del CMaLP at La Plata, Argentina, November 2021
• The mean height of the solution set of a system of polynomial equations [presentation], talk at the Number theory web seminar, September 2021
• A Macaulay formula for the sparse resultant, talk at the congress MCA 2021 at Buenos Aires, Argentina, July 2021
• 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
• Where do the little points go?, plenary talk at the conference RSME-UMA, Buenos Aires, December 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