Martín Sombra

Membership: BIGGAMES research group, Institut de Matemàtiques (IMUB), and Centre de Recerca Matemàtica (CRM)

Research interests: Diophantine and Arakelov geometry, toric varieties, combinatorics

Present and upcoming activities [archives]

• 9 - 18 July 2026: conference Foundations of Computational Mathematics (FoCM 2026) at Vienna, Austria
• 13 - 17 July 2026: conference Curves, abelian varieties and related topics (CAVARET2) at UB
• 27 - 31 July 2026: visit of Nuno Hultberg (Westlake University, Hangzhou)
• 1 September - 31 October 2026: visits of Ricardo Menares (Universidad Católica de Chile, Santiago, Chile) and Binggang Qu (ICMAT, Madrid)
• 9 - 13 November 2026: research in pairs "Kähler-Einstein toric submanifolds of the projective space" at Centro Ennio de Giorgi, Pisa, Italy
• 11 - 15 January 2027: conference "Encuentro chileno de teoría de números" at Universidad de Talca, Chile

Some recent talks

• The greatness of the small points, talk at the UAB mathematics colloquium, May 2026
• Toric equidistribution revisited, talk at the conference Combinatorial sinergies in geometry and number theory at IMPA, Rio de Janeiro, Brazil, March 2025
• 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

Recent texts Essential minima of height functions and linear programming Kähler-Einstein toric submanifolds of the projective space Heights of complete intersections in toric varieties Approximation of adelic divisors and equidistribution of small points A toric dictionary in arithmetic geometry: Part I, Part II, Part III, Part IV, and Part V

Here is my complete list of publications