# Talks

## Cubing

*Cubo di Rubik e Speedcubing (ITA)*. Invited talk at Università di Cagliari, January 2020. [Slides: pdf, 2.0Mb]*The Rubik’s cube group structure in 2 minutes*. Speed talk at the AAN Symposium, May 2019. [Slides: pdf, 1.2Mb]

## Math

*Kummer theory for elliptic curves*. Short talk for Tarrach Prize 2023, March 2023. [Slides: pdf, 288Kb]*Kummer theory for commutative algebraic groups*. Seminar at the university of Leiden, September 2022. [Slides: pdf, 1.2Mb]*My journey in Kummer theory*. Leiden-Luxembourg Number Theory PhD Days 2022, July 5-6. [Slides: pdf, 521Kb]*A tour of group theory with our companion cube*. University of Luxembourg PhD seminar, May 2022. [Slides: pdf, 1.1Mb]*Kummer theory via (J,T)-extensions*. University of Leiden algebra seminar, May 2022; similar to*A category of division modules*, see below.*Kummer theory for algebraic groups*. Nederlands Matematisch Congres, April 2022; repeated at the DIAMANT symposium, April 2022. [Notes (NMC): pdf, 215Kb; Script (NMC): txt, 9Kb; Notes (DIAMANT, longer version): pdf, 223Kb]*Division in modules*. University of Leiden algebra seminar, April 2022; similar to*A generalization of injective modules*and*Division in modules and Kummer theory*, see below. [Notes: pdf, 245Kb]*Division in modules and Kummer theory*. Invited talk at the University of Groningen, February 2022. [Slides: pdf, 249Kb]*A category of division modules*. University of Luxembourg Number Theory seminar, November 2021. [Notes: pdf, 270Kb]*Introduction to étale cohomology*. University of Luxembourg seminar series on perverse sheaves, October 2021. [Notes: pdf, 237Kb]*A generalization of injective modules*. University of Luxembourg Number Theory seminar, October 2021. [Notes: pdf, 259Kb]*Integer factorization and elliptic curves*. University of Leiden Bachelor seminar (guest talk), April 2021. [Slides: pdf, 393Kb]*Group cohomology and elliptic curves*. Invited talk at Number Theory Online conference, February 2021. [Slides: pdf, 210Kb; Video]*Kummer theory for algebraic groups*. Invited talk at the University of Bristol (online), October 2020. [Slides: pdf, 239Kb]*Algebraic groups and field extensions*. University of Luxembourg PhD seminar (online), April 2020. [Slides: pdf, 280Kb]*Field extensions and elliptic curves*. University of Luxembourg PhD Day, October 2019. [Slides: pdf, 6.0Mb]*Kummer theory for elliptic curves*. University of Leiden algebra seminar, September 2019; repeated with slides at the DIAMANT symposium, November 2019 and at Seminari de Teoria de Nombres de Barcelona, February 2020. [Notes: pdf, 181Kb; Slides DIAMANT: pdf, 271Kb; Slides Barcelona: pdf, 290Kb].*Divisibility of points in algebraic groups*. Invited talk at the University of the Basque Country, May 2019. [Notes: pdf, 231Kb]*Kummer theory for number fields*. Fifth symposium of the Roman Number Theory association, April 2019; repeated at the Algant Alumni symposium in Benasque, May 2019. [Slides: pdf, 291Kb]*The local-global principle*. University of Luxembourg interdisciplinary seminar, March 2019. [Slides: pdf, 598Kb]*Local-global principle for torsion*. University of Luxembourg Number Theory seminar, November 2018. [Notes: pdf, 208Kb]

## Software

*L’importanza del software libero nella ricerca (ITA)*. Linux day in Feltre, October 2019. [Slides: pdf, 804Kb; Video]*Linux from scratch (ITA)*Linux day in Sedico, October 2012. Video.