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]

• 12 -13 May 2022: visit of José Ignacio Burgos (ICMAT, Madrid)
• 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
• 4 - 29 July 2022: summer program Barcelona introduction to mathematical research 2022 at CRM and UB
• 12 - 16 September 2022: conference Intercity seminar on Arakelov geometry at Madrid
• 12 - 21 June 2023: conference Foundations of Computational Mathematics (FoCM 2023) at Paris, 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 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