Martín Sombra

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

Present and upcoming activities [archives]

• 27 September - 8 October 2021: visit of Roberto Gualdi (U. Regensburg, Germany)
• 18 - 22 October 2021: research stay at U. Regensburg, Germany
• 12 November 2021: Seminario del CMaLP at Universidad de La Plata, Argentina
• 8 - 12 November 2021: visit of Antonio Di Scala (Politecnico di Torino, Italy)
• 22 - 26 November 2021: research stay at ICMAT, Madrid
• 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
• 11 - 16 September 2022: Intercity seminar on Arakelov geometry at Madrid

Some recent talks

• 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
• 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
• 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