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authorSebastiano Tronto <sebastiano@tronto.net>2023-05-06 17:43:11 +0200
committerSebastiano Tronto <sebastiano@tronto.net>2023-05-06 17:43:11 +0200
commita5d66cb6da3f6ab3b79898769b4d118c8b9e498b (patch)
tree9444326d20a56380bd44a081b3295fcfd891a3cf /src/research
parent11f155d5a60715508a3fe2069f723f354c65bc52 (diff)
downloadsebastiano.tronto.net-a5d66cb6da3f6ab3b79898769b4d118c8b9e498b.tar.gz
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-rw-r--r--src/research/research.md106
-rw-r--r--src/talks/division-groningen.pdf (renamed from src/research/division-groningen.pdf)bin254374 -> 254374 bytes
-rw-r--r--src/talks/division-leiden.pdf (renamed from src/research/division-leiden.pdf)bin250193 -> 250193 bytes
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-rw-r--r--src/talks/kummer-tarrach.pdf (renamed from src/research/kummer-tarrach.pdf)bin294123 -> 294123 bytes
-rw-r--r--src/talks/notes-bilbao.pdf (renamed from src/research/notes-bilbao.pdf)bin236060 -> 236060 bytes
-rw-r--r--src/talks/notes-division-modules.pdf (renamed from src/research/notes-division-modules.pdf)bin275589 -> 275589 bytes
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-rw-r--r--src/talks/notes-injectivity.pdf (renamed from src/research/notes-injectivity.pdf)bin265079 -> 265079 bytes
-rw-r--r--src/talks/notes-katz.pdf (renamed from src/research/notes-katz.pdf)bin212085 -> 212085 bytes
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diff --git a/src/research/research.md b/src/research/research.md
index 20cd1fe..ca5b4a0 100644
--- a/src/research/research.md
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@@ -5,10 +5,11 @@ After obtaining a bachelor degree in Trento in 2016 I have completed the
5special focus on number theory and algebraic geometry. I then moved on to 5special focus on number theory and algebraic geometry. I then moved on to
6obtain a joint PhD at the universities of Luxembourg and Leiden, under 6obtain a joint PhD at the universities of Luxembourg and Leiden, under
7the supervision of [Antonella Perucca](http://antonellaperucca.net) and 7the supervision of [Antonella Perucca](http://antonellaperucca.net) and
8[Peter Bruin](https://www.math.leidenuniv.nl/~pbruin). I have collected 8[Peter Bruin](https://www.math.leidenuniv.nl/~pbruin).
9in this page the list of papers I puplished during my PhD, as well as 9
10slides or notes for all the talks I have given and my theses (Bachelor, 10I have collected in this page the list of papers I puplished during my PhD,
11Master, PhD). 11as well as theses (Bachelor, Master, PhD). See [my talks page](../talks)
12for a list of slides and notes of my talks.
12 13
13## Theses 14## Theses
14 15
@@ -69,100 +70,3 @@ Master, PhD).
69* Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano. 70* Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano.
70 *Explicit Kummer theory for the rational numbers.* 71 *Explicit Kummer theory for the rational numbers.*
71 International Journal of Number Theory (2020). 72 International Journal of Number Theory (2020).
72
73## Talks
74
75* *Kummer theory for elliptic curves*.
76 Short talk for Tarrach Prize 2023, March 2023.
77 [Slides: [pdf, 288Kb](kummer-tarrach.pdf)]
78
79* *Kummer theory for commutative algebraic groups*.
80 Seminar at the university of Leiden, September 2022.
81 [Slides: [pdf, 1.2Mb](slides-kummer-final.pdf)]
82
83* *My journey in Kummer theory*.
84 Leiden-Luxembourg Number Theory PhD Days 2022, July 5-6.
85 [Slides: [pdf, 521Kb](slides-journey-kummer.pdf)]
86
87* *A tour of group theory with our companion cube*.
88 University of Luxembourg PhD seminar, May 2022.
89 [Slides: [pdf, 1.1Mb](group-cube.pdf)]
90
91* *Kummer theory via (J,T)-extensions*.
92 University of Leiden algebra seminar, May 2022;
93 similar to *A category of division modules*, see below.
94
95* *Kummer theory for algebraic groups*.
96 Nederlands Matematisch Congres, April 2022;
97 repeated at the DIAMANT symposium, April 2022.
98 [Notes (NMC): [pdf, 215Kb](slides-kummer-kwg.pdf);
99 Script (NMC): [txt, 9Kb](script-kummer-kwg.txt);
100 Notes (DIAMANT, longer version): [pdf, 223Kb](slides-kummer-diamant.pdf)]
101
102* *Division in modules*.
103 University of Leiden algebra seminar, April 2022;
104 similar to *A generalization of injective modules* and
105 *Division in modules and Kummer theory*, see below.
106 [Notes: [pdf, 245Kb](division-leiden.pdf)]
107
108* *Division in modules and Kummer theory*.
109 Invited talk at the University of Groningen, February 2022.
110 [Slides: [pdf, 249Kb](division-groningen.pdf)]
111
112* *A category of division modules*.
113 University of Luxembourg Number Theory seminar, November 2021.
114 [Notes: [pdf, 270Kb](notes-division-modules.pdf)]
115
116* *Introduction to étale cohomology*.
117 University of Luxembourg seminar series on perverse sheaves, October 2021.
118 [Notes: [pdf, 237Kb](notes-etale.pdf)]
119
120* *A generalization of injective modules*.
121 University of Luxembourg Number Theory seminar, October 2021.
122 [Notes: [pdf, 259Kb](notes-injectivity.pdf)]
123
124* *Integer factorization and elliptic curves*.
125 University of Leiden Bachelor seminar (guest talk), April 2021.
126 [Slides: [pdf, 393Kb](slides-ecm.pdf)]
127
128* *Group cohomology and elliptic curves*.
129 Invited talk at Number Theory Online conference, February 2021.
130 [Slides: [pdf, 210Kb](slides-groupcohomec.pdf);
131 Video: [link](https://vimeo.com/526814236/1a640285c0?embedded=true&source=video_title&owner=47245911)]
132
133* *Kummer theory for algebraic groups*.
134 Invited talk at the University of Bristol (online), October 2020.
135 [Slides: [pdf, 239Kb](slides-tronto-bristol.pdf)]
136
137* *Algebraic groups and field extensions*.
138 University of Luxembourg PhD seminar (online), April 2020.
139 [Slides: [pdf, 280Kb](slides-alggroupsfieldext.pdf)]
140
141* *Field extensions and elliptic curves*.
142 University of Luxembourg PhD Day, October 2019.
143 [Slides: [pdf, 6.0Mb](slides-fieldextec.pdf)]
144
145* *Kummer theory for elliptic curves*.
146 University of Leiden algebra seminar, September 2019;
147 repeated with slides at the DIAMANT symposium, November 2019 and
148 at Seminari de Teoria de Nombres de Barcelona, February 2020.
149 [Notes: [pdf, 181Kb](notes-kummerec.pdf);
150 Slides DIAMANT: [pdf, 271Kb](slides-kummec-diamant.pdf);
151 Slides Barcelona: [pdf, 290Kb](slides-kummec-barcelona.pdf)].
152
153* *Divisibility of points in algebraic groups*.
154 Invited talk at the University of the Basque Country, May 2019.
155 [Notes: [pdf, 231Kb](notes-bilbao.pdf)]
156
157* *Kummer theory for number fields*.
158 Fifth symposium of the Roman Number Theory association, April 2019;
159 repeated at the Algant Alumni symposium in Benasque, May 2019.
160 [Slides: [pdf, 291Kb](slides-kummerdegrees.pdf)]
161
162* *The local-global principle*.
163 University of Luxembourg interdisciplinary seminar, March 2019.
164 [Slides: [pdf, 598Kb](slides-local-global.pdf)]
165
166* *Local-global principle for torsion*.
167 University of Luxembourg Number Theory seminar, November 2018.
168 [Notes: [pdf, 208Kb](notes-katz.pdf)]
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