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diff --git a/src/favicon.png b/src/favicon.png
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1# Git repositories
2
3You can find all my git repositories at
4[git.tronto.net](https://git.tronto.net/) or on
5[my github page](https://github.com/sebastianotronto).
6You can clone a repository with `git clone https://git.tronto.net/[NAME]`.
7
8## Tutorials
9
10* [fmctutorial](https://git.tronto.net/fmctutorial): an in-depth
11 tutorial for the Rubik's cube *Fewest Moves Challenge*, or FMC.
12
13## Programs and scripts
14
15I started writing code in 2005, with a toy programming language called Dark
16Basic first and with Java shortly after that. In the past I enjoyed learning
17different programming languages (C++, J, Python...), but I have recently found
18more pleasure in writing software in plain C.
19
20* [nissy](https://git.tronto.net/nissy): A Rubik's cube solver,
21 intended primarily as a tool for practicing FMC.
22* [sdep](https://git.tronto.net/sdep): A minimalistic
23 "date+event" line parser. Can be used in combination with some shell scripts
24 as a reminder / calendar application.
25* [scripts](https://git.tronto.net/scripts): Various scripts
26 for Unix-like systems.
27
28## Math courses and programs
29
30Here are some scripts I wrote and lecture notes for some courses
31I taught at the [University of Luxembourg](https://wwwen.uni.lu)
32(2018-2022).
33
34* [mathsoftware](https://git.tronto.net/mathsoftware): a full
35 course (3 ECTS) on LaTeX and SageMath.
36* [preplogic](https://git.tronto.net/preplogic): notes and
37 exercises for two introductory lectures on elementary logic.
38* [kummer-degrees](https://git.tronto.net/kummer-degrees): a
39 SageMath script for computing the degrees of Kummer extensions of the
40 rational numbers.
41* [arithmeticbilliard](https://git.tronto.net/arithmeticbilliard):
42 a python program for drawing the path of 2- and 3-dimensional arithmetic
43 billiards.
diff --git a/src/home.md b/src/home.md
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1# Sebastiano Tronto
2
3![A picture of me](me.png "Me")
4
5I am a PhD student in Mathematics at the Universities of Luxembourg and Leiden.
6During my free time I enjoy tinkering with my computer, programming and
7playing with the Rubik's cube.
8
9Download my [cv (pdf, 220Kb)](tronto-cv.pdf).
10
11### Email
12
13* [sebastiano@tronto.net](mailto:sebastiano@tronto.net) (personal)
14* [sebastiano.tronto@uni.lu](mailto:sebastiano.tronto@uni.lu) (work)
15
16### Social
17
18You can find me on many social networks and forums with either my real name
19or the username `porkynator`.
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1# Research
2
3After obtaining a bachelor degree in Trento in 2016 I have completed the
4[ALGANT](https://algant.eu) Master Program (Milano and Leiden), with special
5focus on number theory and algebraic geometry. I am now working on my PhD
6under the supervision of [Antonella Perucca](http://antonellaperucca.net) and
7[Peter Bruin](https://www.math.leidenuniv.nl/~pbruin).
8
9## Publications and preprints
10
11* Tronto, Sebastiano.
12 *Division in modules and Kummer theory.*
13 [arXiv preprint](https://arxiv.org/abs/2111.14363).
14
15* Lombardo, Davide; Tronto, Sebastiano.
16 *Some uniform bounds for elliptic curves over Q.*
17 [arXiv preprint](https://arxiv.org/abs/2106.09950v1).
18
19* Lombardo, Davide; Tronto, Sebastiano.
20 *Effective Kummer theory for elliptic curves.*
21 International Mathematics Research Notices (2021).
22
23* Hörmann, Fritz; Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano.
24 *Explicit Kummer theory for quadratic fields.*
25 JP Journal of Algebra, Number Theory and Applications (2021).
26
27* Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano.
28 *The degree of Kummer extensions of number fields.*
29 International Journal of Number Theory (2021).
30
31* Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano.
32 *Kummer Theory for number fields via entanglement groups.*
33 Manuscripta Mathematica (2021).
34
35* Tronto, Sebastiano.
36 *Radical entanglement for elliptic curves.*
37 [arXiv preprint](https://arxiv.org/abs/2009.08298).
38
39* Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano.
40 *Kummer theory for number fields.*
41 Proceedings of the Roman Number Theory Association (2020).
42
43* Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano.
44 *Addendum to: Reductions of Algebraic integers.*
45 Journal of Number Theory (2020).
46
47* Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano.
48 *Explicit Kummer theory for the rational numbers.*
49 International Journal of Number Theory (2020).
50
51## Talks
52
53* *A category of division modules*.
54 University of Luxembourg Number Theory seminar, November 2021.
55 [Notes: [pdf](notes-division-modules.pdf)]
56
57* *Introduction to étale cohomology*.
58 University of Luxembourg seminar series on perverse sheaves, October 2021.
59 [Notes: [pdf](notes-etale.pdf)]
60
61* *A generalization of injective modules*.
62 University of Luxembourg Number Theory seminar, October 2021.
63 [Notes: [pdf](notes-injectivity.pdf)]
64
65* *Integer factorization and elliptic curves*.
66 University of Leiden Bachelor seminar (guest talk), April 2021.
67 [Slides: [pdf](slides-ecm.pdf)]
68
69* *Group cohomology and elliptic curves*.
70 Invited talk at Number Theory Online conference, February 2021.
71 [Slides: [pdf](slides-groupcohomec.pdf);
72 Video: [link](https://vimeo.com/526814236/1a640285c0?embedded=true&source=video_title&owner=47245911)]
73
74* *Kummer theory for algebraic groups*.
75 Invited talk at the University of Bristol (online), October 2020.
76 [Slides: [pdf](slides-tronto-bristol.pdf)]
77
78* *Algebraic groups and field extensions*.
79 University of Luxembourg PhD seminar (online), April 2020.
80 [Slides: [pdf](slides-alggroupsfieldext.pdf)]
81
82* *Field extensions and elliptic curves*.
83 University of Luxembourg PhD Day, October 2019.
84 [Slides: [pdf](slides-fieldextec.pdf)]
85
86* *Kummer theory for elliptic curves*.
87 University of Leiden algebra seminar, September 2019;
88 repeated with slides at the DIAMANT symposium, November 2019 and
89 at Seminari de Teoria de Nombres de Barcelona, February 2020.
90 [Notes: [pdf](notes-kummerec.pdf);
91 Slides DIAMANT: [pdf](slides-kummec-diamant.pdf);
92 Slides Barcelona: [pdf](slides-kummec-barcelona.pdf);].
93
94* *Divisibility of points in algebraic groups*.
95 Invited talk at the University of the Basque Country, May 2019.
96 [Notes: [pdf](notes-bilbao.pdf)]
97
98* *Kummer theory for number fields*.
99 Fifth symposium of the Roman Number Theory association, April 2019;
100 repeated at the Algant Alumni symposium in Benasque, May 2019.
101 [Slides: [pdf](slides-kummerdegrees.pdf)]
102
103* *The local-global principle*.
104 University of Luxembourg interdisciplinary seminar, March 2019.
105 [Slides: [pdf](slides-local-global.pdf)]
106
107* *Local-global principle for torsion*.
108 University of Luxembourg Number Theory seminar, November 2018.
109 [Notes: [pdf](notes-katz.pdf)]
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1# Speedcubing
2
3![Me solving a Rubik's cube during an official competition](cubing.png "Me solving a cube")
4
5I have been practicing [speedcubing](https://en.wikipedia.org/wiki/Speedcubing)
6since 2008, and since 2011 I have competed in 49 officially recognized
7[WCA](https://www.worldcubeassociation.org) competitions. I currently hold the
8world record for the single best result in the *3x3x3 Fewest Moves* event
9(16 moves), and some national records in different blindfolded events. I am
10also the leader of the WCA Disciplinary Committee. You can see all my official
11results [here](https://www.worldcubeassociation.org/persons/2011TRON02).
12
13If you are interested in Fewest Moves solving, check out my
14[FMC Tutorial](https://github.com/sebastianotronto/fmctutorial). I also
15upload irregularly on
16[my YouTube channel](https://www.youtube.com/c/SebastianoTronto), but most
17videos are just me solving the cube.
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1.menu {
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5.links {
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7 font-weight: bold;
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25 margin-left: auto;
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31 background-color: #eeeeee;
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35 border: 2px solid;
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88#files tr:hover td {
89 background-color: #eeeeee;
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91
92.url td {
93 font-family: monospace;
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96table tr td a img {
97 min-width: 33px;
98}
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