talks.md (4831B)
1 # Talks 2 3 ## 2025 4 5 * *WebAssembly and Emscripten*. 6 ALTEN Advanced Software Evening, December 2025. 7 [Slides: [html, 1.7Mb](./wasm); 8 Examples: [zip, 83Kb](./wasm/examples.zip)] 9 10 * *Elliptic Curves and the ECM algorithm*. 11 ALTEN Scientific Software Evening, February 2025. 12 [Slides: [html, 2.4Mb](./ecm)] 13 14 ## 2023 15 16 * *Kummer theory for elliptic curves*. 17 Short talk for Tarrach Prize 2023, March 2023. 18 [Slides: [pdf, 288Kb](kummer-tarrach.pdf)] 19 20 ## 2022 21 22 * *Kummer theory for commutative algebraic groups*. 23 Seminar at the university of Leiden, September 2022. 24 [Slides: [pdf, 1.2Mb](slides-kummer-final.pdf)] 25 26 * *My journey in Kummer theory*. 27 Leiden-Luxembourg Number Theory PhD Days 2022, July 5-6. 28 [Slides: [pdf, 521Kb](slides-journey-kummer.pdf)] 29 30 * *A tour of group theory with our companion cube*. 31 University of Luxembourg PhD seminar, May 2022. 32 [Slides: [pdf, 1.1Mb](group-cube.pdf)] 33 34 * *Kummer theory via (J,T)-extensions*. 35 University of Leiden algebra seminar, May 2022; 36 similar to *A category of division modules*, see below. 37 38 * *Kummer theory for algebraic groups*. 39 Nederlands Matematisch Congres, April 2022; 40 repeated at the DIAMANT symposium, April 2022. 41 [Notes (NMC): [pdf, 215Kb](slides-kummer-kwg.pdf); 42 Script (NMC): [txt, 9Kb](script-kummer-kwg.txt); 43 Notes (DIAMANT, longer version): [pdf, 223Kb](slides-kummer-diamant.pdf)] 44 45 * *Division in modules*. 46 University of Leiden algebra seminar, April 2022; 47 similar to *A generalization of injective modules* and 48 *Division in modules and Kummer theory*, see below. 49 [Notes: [pdf, 245Kb](division-leiden.pdf)] 50 51 * *Division in modules and Kummer theory*. 52 Invited talk at the University of Groningen, February 2022. 53 [Slides: [pdf, 249Kb](division-groningen.pdf)] 54 55 ## 2021 56 57 * *A category of division modules*. 58 University of Luxembourg Number Theory seminar, November 2021. 59 [Notes: [pdf, 270Kb](notes-division-modules.pdf)] 60 61 * *Introduction to étale cohomology*. 62 University of Luxembourg seminar series on perverse sheaves, October 2021. 63 [Notes: [pdf, 237Kb](notes-etale.pdf)] 64 65 * *A generalization of injective modules*. 66 University of Luxembourg Number Theory seminar, October 2021. 67 [Notes: [pdf, 259Kb](notes-injectivity.pdf)] 68 69 * *Integer factorization and elliptic curves*. 70 University of Leiden Bachelor seminar (guest talk), April 2021. 71 [Slides: [pdf, 393Kb](slides-ecm.pdf)] 72 73 * *Group cohomology and elliptic curves*. 74 Invited talk at Number Theory Online conference, February 2021. 75 [Slides: [pdf, 210Kb](slides-groupcohomec.pdf); 76 [Video](https://vimeo.com/526814236/1a640285c0?embedded=true&source=video_title&owner=47245911)] 77 78 ## 2020 79 80 * *Kummer theory for algebraic groups*. 81 Invited talk at the University of Bristol (online), October 2020. 82 [Slides: [pdf, 239Kb](slides-tronto-bristol.pdf)] 83 84 * *Algebraic groups and field extensions*. 85 University of Luxembourg PhD seminar (online), April 2020. 86 [Slides: [pdf, 280Kb](slides-alggroupsfieldext.pdf)] 87 88 * *Cubo di Rubik e Speedcubing (ITA)*. 89 Invited talk at Università di Cagliari, January 2020. 90 [Slides: [pdf, 2.0Mb](cubo-cagliari.pdf)] 91 92 ## 2019 93 94 * *L'importanza del software libero nella ricerca (ITA)*. 95 Linux day in Feltre, October 2019. 96 [Slides: [pdf, 804Kb](linuxday2019.pdf); 97 [Video](https://www.youtube.com/watch?v=FB0YIYNp3rw)] 98 99 * *Field extensions and elliptic curves*. 100 University of Luxembourg PhD Day, October 2019. 101 [Slides: [pdf, 6.0Mb](slides-fieldextec.pdf)] 102 103 * *Kummer theory for elliptic curves*. 104 University of Leiden algebra seminar, September 2019; 105 repeated with slides at the DIAMANT symposium, November 2019 and 106 at Seminari de Teoria de Nombres de Barcelona, February 2020. 107 [Notes: [pdf, 181Kb](notes-kummerec.pdf); 108 Slides DIAMANT: [pdf, 271Kb](slides-kummec-diamant.pdf); 109 Slides Barcelona: [pdf, 290Kb](slides-kummec-barcelona.pdf)]. 110 111 * *The Rubik's cube group structure in 2 minutes*. 112 Speed talk at the AAN Symposium, May 2019. 113 [Slides: [pdf, 1.2Mb](cube-2min-slides.pdf)] 114 115 * *Divisibility of points in algebraic groups*. 116 Invited talk at the University of the Basque Country, May 2019. 117 [Notes: [pdf, 231Kb](notes-bilbao.pdf)] 118 119 * *Kummer theory for number fields*. 120 Fifth symposium of the Roman Number Theory association, April 2019; 121 repeated at the Algant Alumni symposium in Benasque, May 2019. 122 [Slides: [pdf, 291Kb](slides-kummerdegrees.pdf)] 123 124 * *The local-global principle*. 125 University of Luxembourg interdisciplinary seminar, March 2019. 126 [Slides: [pdf, 598Kb](slides-local-global.pdf)] 127 128 ## 2018 129 130 * *Local-global principle for torsion*. 131 University of Luxembourg Number Theory seminar, November 2018. 132 [Notes: [pdf, 208Kb](notes-katz.pdf)] 133 134 ## 2012 135 136 * *Linux from scratch (ITA)* 137 Linux day in Sedico, October 2012. 138 [Video](https://www.youtube.com/watch?v=h7xW7iq-ApA).