Martín Sombra

Membership: GALATEA research group, Institut de Matemàtiques (IMUB), Centre de Recerca Matemàtica (CRM), and Barcelona Graduate School of Mathematics (BGSMath)

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

Present and upcoming activities [archives]

• 31 January 2023: Humboldt arithmetic geometry seminar at Humboldt University, Berlin, Germany
• 12 - 21 June 2023: conference Foundations of Computational Mathematics (FoCM 2023) at Paris, France
• 26 June - 1 July 2023: conference XXXIèmes rencontres arithmétiques de Caen at Île de Tatihou, France
• 9 - 13 October 2023: conference "Global invariants of arithmetic varieties" at CIRM, Marseille, France

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 The house of the small numbers 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 A toric dictionary in arithmetic geometry: Part I, Part II, Part III, Part IV, and Part V

Here is my complete list of publications