From a5d66cb6da3f6ab3b79898769b4d118c8b9e498b Mon Sep 17 00:00:00 2001 From: Sebastiano Tronto Date: Sat, 6 May 2023 17:43:11 +0200 Subject: Some changes and additions --- src/research/research.md | 106 +++-------------------------------------------- 1 file changed, 5 insertions(+), 101 deletions(-) (limited to 'src/research/research.md') diff --git a/src/research/research.md b/src/research/research.md index 20cd1fe..ca5b4a0 100644 --- a/src/research/research.md +++ b/src/research/research.md @@ -5,10 +5,11 @@ After obtaining a bachelor degree in Trento in 2016 I have completed the special focus on number theory and algebraic geometry. I then moved on to obtain a joint PhD at the universities of Luxembourg and Leiden, under the supervision of [Antonella Perucca](http://antonellaperucca.net) and -[Peter Bruin](https://www.math.leidenuniv.nl/~pbruin). I have collected -in this page the list of papers I puplished during my PhD, as well as -slides or notes for all the talks I have given and my theses (Bachelor, -Master, PhD). +[Peter Bruin](https://www.math.leidenuniv.nl/~pbruin). + +I have collected in this page the list of papers I puplished during my PhD, +as well as theses (Bachelor, Master, PhD). See [my talks page](../talks) +for a list of slides and notes of my talks. ## Theses @@ -69,100 +70,3 @@ Master, PhD). * Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano. *Explicit Kummer theory for the rational numbers.* International Journal of Number Theory (2020). - -## Talks - -* *Kummer theory for elliptic curves*. - Short talk for Tarrach Prize 2023, March 2023. - [Slides: [pdf, 288Kb](kummer-tarrach.pdf)] - -* *Kummer theory for commutative algebraic groups*. - Seminar at the university of Leiden, September 2022. - [Slides: [pdf, 1.2Mb](slides-kummer-final.pdf)] - -* *My journey in Kummer theory*. - Leiden-Luxembourg Number Theory PhD Days 2022, July 5-6. - [Slides: [pdf, 521Kb](slides-journey-kummer.pdf)] - -* *A tour of group theory with our companion cube*. - University of Luxembourg PhD seminar, May 2022. - [Slides: [pdf, 1.1Mb](group-cube.pdf)] - -* *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](slides-kummer-kwg.pdf); - Script (NMC): [txt, 9Kb](script-kummer-kwg.txt); - Notes (DIAMANT, longer version): [pdf, 223Kb](slides-kummer-diamant.pdf)] - -* *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-leiden.pdf)] - -* *Division in modules and Kummer theory*. - Invited talk at the University of Groningen, February 2022. - [Slides: [pdf, 249Kb](division-groningen.pdf)] - -* *A category of division modules*. - University of Luxembourg Number Theory seminar, November 2021. - [Notes: [pdf, 270Kb](notes-division-modules.pdf)] - -* *Introduction to étale cohomology*. - University of Luxembourg seminar series on perverse sheaves, October 2021. - [Notes: [pdf, 237Kb](notes-etale.pdf)] - -* *A generalization of injective modules*. - University of Luxembourg Number Theory seminar, October 2021. - [Notes: [pdf, 259Kb](notes-injectivity.pdf)] - -* *Integer factorization and elliptic curves*. - University of Leiden Bachelor seminar (guest talk), April 2021. - [Slides: [pdf, 393Kb](slides-ecm.pdf)] - -* *Group cohomology and elliptic curves*. - Invited talk at Number Theory Online conference, February 2021. - [Slides: [pdf, 210Kb](slides-groupcohomec.pdf); - Video: [link](https://vimeo.com/526814236/1a640285c0?embedded=true&source=video_title&owner=47245911)] - -* *Kummer theory for algebraic groups*. - Invited talk at the University of Bristol (online), October 2020. - [Slides: [pdf, 239Kb](slides-tronto-bristol.pdf)] - -* *Algebraic groups and field extensions*. - University of Luxembourg PhD seminar (online), April 2020. - [Slides: [pdf, 280Kb](slides-alggroupsfieldext.pdf)] - -* *Field extensions and elliptic curves*. - University of Luxembourg PhD Day, October 2019. - [Slides: [pdf, 6.0Mb](slides-fieldextec.pdf)] - -* *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](notes-kummerec.pdf); - Slides DIAMANT: [pdf, 271Kb](slides-kummec-diamant.pdf); - Slides Barcelona: [pdf, 290Kb](slides-kummec-barcelona.pdf)]. - -* *Divisibility of points in algebraic groups*. - Invited talk at the University of the Basque Country, May 2019. - [Notes: [pdf, 231Kb](notes-bilbao.pdf)] - -* *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](slides-kummerdegrees.pdf)] - -* *The local-global principle*. - University of Luxembourg interdisciplinary seminar, March 2019. - [Slides: [pdf, 598Kb](slides-local-global.pdf)] - -* *Local-global principle for torsion*. - University of Luxembourg Number Theory seminar, November 2018. - [Notes: [pdf, 208Kb](notes-katz.pdf)] -- cgit v1.3