ACTIVITIES
Conferences and schools
Past
- Algebraic and Arithmetic Geometry Week, Alexandru Ioan Cuza University (Iaşi, Romania), September 2025
- Symposium of the ALGANT Alumni Network (Będlewo Palace, Poland), July 2025
- Geometry over Semirings, Universitat Autònoma de Barcelona (Barcelona), July 2025
- Intercity Seminar on Arakelov Geometry, Kyoto University (Kyoto), September 2024
- Students' and Young Researchers' Conference on Non-Archimedean, Arakelov and Tropical Geometry, Universität Regensburg (Regensburg), July 2024
- CAVARET: Curves, Abelian VArieties and RElated Topics, Universitat de Barcelona (Barcelona), June 2024
- Jornada de Jóvenes Doctores en Geometría Algebraica II, Universitat de Barcelona (Barcelona), October 2023
- Regensburg days on non-archimedean geometry, Universität Regensburg (Regensburg), July 2023
- XXXIèmes Rencontres Arithmétiques de Caen, organized by the Université de Caen on Tatihou island, June-July 2023
- La grandezza dei punti piccoli, celebrating Francesco Amoroso's 60th birthday, Università di Pisa, May 2022
- Mini-Symposium on Lattice Polytopes, organized by the KTH Stockholm and the University of Nottingham (online), March 2022
- Arithmetic algebraic geometry and mathematical physics, a conference in honor of the 60th birthday of Professor Atsushi Moriwaki, organized by the RIMS at Kyoto University (hybrid form), November - December 2021
- Intercity Seminar on Arakelov Theory, organized by the Universität Regensburg (hybrid form), September 2021
- Tropical homology and Hodge theory, hosted by the Katholieke Universiteit Leuven (online), August 2021
- MEGA 2021, hosted by the Artic University of Norway in Tromsø (online), June 2021
- Rendez-vous on Special Values and Periods, hosted by the ENS Lyon (online), May 2021
- Young researchers' conference on Non-Archimedean and Tropical Geometry, Universität Regensburg (Regensburg), July 2019
- Intercity Seminar on Arakelov Geometry, University of Copenhagen (Copenhagen), September 2018
- Masterclass: Mahler measures and special values of L-functions, University of Copenhagen (Copenhagen), August 2018
- Students' Conference on Non-Archimedean and Tropical Geometry, Universität Regensburg (Regensburg), August 2017
- XXXèmes Journées Arithmétiques, Université de Caen (Caen), July 2017
- Géométrie d'Arakelov et applications diophantiennes, Institut Fourier (Grenoble), June 2017
- Algebra and Geometry Meeting, UB (Barcelona), November - December 2016
- Arakelov Geometry: archimedean and non-archimedean aspects, Universität Regensburg (Regensburg), September 2016
- Workshop on positivity and valuations, CRM (Barcelona), February 2016
- Toric Methods in Geometry, Arithmetic and Dynamics, Pontificia Universidad Católica de Chile (Santiago), January 2016
- Algebra and Geometry Meeting, UB (Barcelona), December 2015
- Singularités et Géométrie Tropicale, Université Paris 7 (Paris), October 2015
- Cox Rings and Mori Dream Spaces, organized by Warsaw University (Łukęcin, Poland), September 2015
- Students' Workshop on Tropical and Non-Archimedean Geometry, Universität Regensburg (Regensburg), August 2015.
In program
- CAVARET 2: Curves, Abelian VArieties and RElated Topics, Universitat de Barcelona (Barcelona), July 2026
- Formulas of Siegel and Weil, Universität Bielefeld (Bielefeld), September-October 2025.
Selected given talks
Past
- Arakelov geometry in action, at the "Symposium of the ALGANT Alumni Network" (Będlewo Palace, Poland), July 2025
- On the height of the intersection of two hypersurfaces in a toric variety, at the "Oberseminar Diophantische Geometrie", Georg–August–Universität Göttingen (online), November 2024
- Heights of complete intersections in toric varieties, at the "Intercity Seminar on Arakelov Geometry", Kyoto University (Kyoto), September 2024
- On the arithmetic Kähler package, at the "Algebra Seminar", Tohoku University (Sendai), September 2024
- Hodge-Riemann relations in Arakelov geometry, at the "Students' and Young Researchers' Conference on Non-Archimedean, Arakelov and Tropical Geometry", Universität Regensburg (Regensburg), July 2024
- Heights in Arakelov geometry, at the "One-day workshop in Cardedeu", Universitat Politècnica de Catalunya (Cardedeu), March 2024
- On the arithmetic Kähler package, at the "Seminari de Geometria Algebraica", Universitat de Barcelona (Barcelona), February 2024
- From amoebas to arithmetics, at the "TGiF - Tropical Geometry in Frankfurt", Goethe University Frankfurt (Frankfurt am Main), July 2023
- On the typical height of the intersection of a projective planar line with its translate by a torsion point, at the "XXXIèmes Rencontres Arithmétiques de Caen", organized by the Université de Caen (Tatihou island), June 2023
- How complicated are the solutions of a system of polynomial equations?, at "Algebraic Geometry Seminar", University Warwick (Coventry), January 2023
- How to guess the height of the solutions of a system of polynomial equations, at "Humboldt Arithmetic Geometry Seminar", Humboldt University Berlin (Berlin), December 2022
- Quelques résultats sur les diviseurs arithmétiques en géométrie d'Arakelov, at "Séminaire de Théorie des Nombres", Université de Caen (Caen), April 2022
- Sull'altezza delle soluzioni di un sistema di equazioni polinomiali, at "Seminario di Geometria Algebrica e Teoria dei Numeri", Università degli Studi di Udine (Udine), January 2022
- On arithmetic divisors in Arakelov geometry, at "Seminari de Geometria Algebraica", Universitat de Barcelona (Barcelona), October 2021
- On varieties in algebraic tori and their torsion points, at "Higher Invariants Oberseminar (HIOB)", Universität Regensburg (online), April 2021
- Higher essential minima at the service of Arakelov equidistribution, at "Oberseminar über Arakelov-Theorie", Universität Regensburg (online), June 2020
- On the solutions of systems of polynomial equations (a tale of polytopes, heights and Sherlock Holmes), at "SFB Lecture", Universität Regensburg (Regensburg), October 2019
- Higher dimensional essential minima and equidistribution of subvarieties, at "Young researchers' conference on Non-Archimedean and Tropical Geometry", Universität Regensburg (Regensburg), August 2019
- Vers un théorème de Bernstein-Kouchnirenko arithmétique, at "Séminaire de Théorie des Nombres", Université de Bordeaux (Bordeaux), May 2019
- Arakelov heights in toric varieties, at "Algebra and Geometry Seminar", University of Bristol (Bristol), February 2019
- Height of cycles in toric varieties, at "Seminari de Geometria Algebraica", Universitat de Barcelona (Barcelona), October 2018
- Heights of cycles in toric varieties, at "Intercity Seminar on Arakelov Geometry", University of Copenhagen (Copenhagen), September 2018
- Ronkin functions and heights, at "SFB-Seminar", Universität Regensburg (Regensburg), June 2018
- Arithmetics of one-codimensional cycles in toric varieties, at "Séminaire de Théorie des Nombres", Université de Caen (Caen), January 2018
- Heights: where geometry, analysis and arithmetics come together, at graduate students' seminar "Séminaire des jeunes", Université de Caen (Caen), January 2018
- Heights of hypersurfaces in toric varieties, at "Students' Conference on Non-Archimedean and Tropical Geometry", Universität Regensburg (Regensburg), August 2017
- A formula for the height of hypersurfaces in toric varieties with respect to toric line budles equipped with semipositive toric metrics, at "XXXèmes Journées Arithmétiques", Université de Caen (Caen), July 2017
- Something about heights, at graduate students' seminar "Seminari DAGA", Universitat de Barcelona (Barcelona), December 2016
- An invitation to tropical geometry, at graduate students' seminar "Séminaire Lambda", Université de Bordeaux (Bordeaux), June 2016
- A trip to the tropics (What is tropical geometry?), at graduate students' seminar "Insalate di Matematica", Università degli Studi di Milano-Bicocca (Milan), February 2016.
In program
None.
Reading seminars and working groups
Past
- Serre's open image theorem, within the "Barcelona Number Theory Study Group" at Universitat de Barcelona (Barcelona), 2025
- Rational points on curves of high genus (program), within the "Barcelona Number Theory Study Group" at Universitat de Barcelona (Barcelona), 2024
- Adelic line bundles over quasi-projective varieties and an application to a uniform Bogomolov-type result, within the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (Regensburg), 2022-2023
- Skeletons and delta-forms, within the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (Regensburg), 2022.
- The geometric Bogomolov conjecture (program), within the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (Regensburg), 2021
- Forms on Berkovich spaces based on harmonic tropicalizations, within the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (online), 2020/2021
- Singularities of plurisubharmonic functions and multiplier ideals, within the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (online), 2020/2021
- Adic spaces (program), within the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (Regensburg), 2019/2020
- Mordell-Faltings a la Chabauty-Kim, at Universitat Autònoma de Barcelona (Barcelona), 2018
- Trace functions over finite fields and applications, after É. Fouvry, E. Kowalski and Ph. Michel, at Université de Bordeaux, 2017
- Potential theory on non-archimedean analytic curves, at Universitat de Barcelona (Barcelona), 2015.
Current
None.
Organized events
Past
- Combinatorial synergies in Geometry and Number Theory, held at the IMPA in Rio de Janeiro in March 2025 (with Ana Botero, Eduardo Esteves, Marco Pacini and Eduardo Vital)
- Rational points on curves of high genus, a learning group in the framework of the "Barcelona Number Theory Study Group" at Universitat de Barcelona (Barcelona), 2024
- Adelic line bundles over quasi-projective varieties and an application to a uniform Bogomolov-type result, a year-long learning group in the framework of the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (Regensburg), 2022-2023 (with Ana Botero and Enrica Mazzon)
- the twelfth installment of the Intercity Seminar on Arakelov Geometry held in Madrid in September 2022 (with José Ignacio Burgos Gil, Alberto Navarro and Martín Sombra)
- the fourth Young Researchers' Conference on Non-Archimedean and Tropical Geometry, held in Regensburg in August 2022 (with Ana Botero, Miriam Prechtel and Jakob Werner)
- The geometric Bogomolov conjecture, a learning group in the framework of the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (Regensburg), 2021 (with Walter Gubler)
- Second AAN Welcoming for Master students, held online in August 2021
- First AAN Welcoming for Master students, held online in August 2020
- Adic spaces, a learning group in the framework of the "Oberseminar über Arakelov-Theorie" at Universität Regensburg (Regensburg), 2019/2020
- 2019 AAN Symposium, held in Benasque in May 2019 (with Bianca Barucchieri, Daniele Casazza and Michele Serra)
- DAGA seminar at UB, the graduate students' seminar at the University of Barcelona (Barcelona), 2016-2017
- ALGANT Alumni Day, held in Bordeaux in July 2016 in occasion of the tenth birthday of the ALGANT master program (with Bianca Barucchieri, Daniele Casazza and Nikola Damjanovic).
Current and future
None.
Divulgation activities
Past
- monitor during El que diuen els nombres, "Taller de la Facultata de Matemàtiques", UB (Barcelona), November 2015.
In program
None.