Here you can find my publications and some old course notes and semester projects etc... back
Preprints
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Algebraic cogroups, with Javier Fresan - a premature child of our exponential motives project |
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Exponential motives - Exponentially growing project with Javier Fresan |
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Hyperelliptic continued fractions and generalised Jacobians, joint with L. Capuano, C. Karolus and F. Veneziano. Extended notes of 3 lectures by Umberto Zannier in Alpbach (2016), to appear in a proceedings volume |
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On the relation between Galois groups and Motivic Galois groups |
Published papers (from new to old)
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[5] --- Inhomogeneous minima of mixed signature lattices, joint with Eva Bayer-Fluckiger and Martino Borello. J. Number Theory, Volume 167, (2016), 88-103. |
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[4] --- On the second Tate--Shafarevich group of a 1--motive, J. Algebra and Number Theory Vol. 7 (2013), No. 10, 2511-2544. |
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[3] --- On the Mumford--Tate conjecture for 1--motives, version February 2013, Inventiones Math, Volume 195, Issue 2 (2014), 393-439. |
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[2] --- Detecting linear dependence on a simple abelian variety via reduction maps. Commentarii Math. Helv. vol. 88 no. 2 (2013), pp 323-352 |
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[1] --- A counterexample to the local-global principle of linear dependence for abelian varieties, joint with Antonella Perucca, Comptes rendus acad. sci. Paris no. 348 (2010), pp. 9-10 |
Thesis
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THESIS - Defended on July 8th 2009, Last updated Oct. 09 |
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Slides of the public defense (with special credits to Abstruse Goose.) |
Old Stuff, course notes, project notes (I wrote as an undergraduate student)
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Hodge-Zahlen und K-Äquivalenz: Meine Masterarbeit 2006. |
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Le Théorème d'indice d'Atiyah-Singer: The largest mathematics Student Project at EPFL ever (2005). |