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Daniele Turchetti Address: Max Planck Institute For Mathematics - Bonn Vivatsgasse 7, 53111 Phone: Email: Website: +49228402322 turchetti@mpim-bonn...
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Daniele Turchetti Address:

Max Planck Institute For Mathematics - Bonn Vivatsgasse 7, 53111

Phone: Email: Website:

+49228402322 [email protected] http://webusers.imj-prg.fr/∼daniele.turchetti

Research Interests Arithmetic algebraic geometry, number theory, representation theory. In particular: non-Archimedean analytic geometry, positive characteristic and p-adic geometry, fundamental groups, Hurwitz spaces, deformation theory, `-modular representations. I consider part of my work as a researcher to be committed to the popularization and dissemination of mathematics in different environments.

Education · 2009 - Laurea Triennale in Matematica (equivalent to B.Sc.), Universit´a degli Studi di Padova (Italy). Grade: 107/110 · July 2011 - M2 (equivalent to M.Sc.) at the Universit´e de Paris 11 (Orsay). Mention: Bien · September 2011 - Laurea Magistrale in Matematica (equivalent to M.Sc.) at the University of Padova. Grade: 110/110 Magna cum Laude · October 2014 - PhD at the Universit´e de Versailles and at the Institut de Math´ematiques de Jussieu, Paris. Mention: Tr`es honorable

Professional experience · October 2011 to September 2014 - Teaching Assistant at Universit´e de Versailles · October 2014 to January 2015 - Visiting scholar at University of Pennsylvania, Phildelphia · February 2015 to August 2015 - Post-doctoral fellow at Universiteit Leiden · From September 2015 - Post-doctoral fellow at Max Planck Institute for Mathematics, Bonn

Grants and awards · Erasmus Mundus Master ALGANT fellowship, 2009-2011 · Research fellowship from the University of Versailles, 2011-2014 · Member of the ANR project Th´eHopaD (Th´eorie de Hodge p-adique et d´eveloppements), 2011-2015

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Publications and preprints · Buissons et balais: la forme des espaces analytiques non-Archim´ediens. Images des Math´ematiques, CNRS, 2013. · Contributions to arithmetic geometry in mixed characteristic. Ph.D. thesis, 2014 · (with G.Chinello) Weil representation and metaplectic groups over an integral domain. Communications in Algebra 43 (2015), no.6, 2388-2419 · Equidistant liftings of Galois covers of elementary abelian groups. Preprint, 2015 · Hurwitz trees in non-Archimedean analytic geometry. In preparation, 2015

Teaching 2011/2012 (Universit´ e de Versailles) · Teaching Assistant for “Math´ematiques G´en´erales 3” (Second year math students). It is a second course in calculus (including linear and ordinary differential equations) and linear algebra. · Teaching Fellow for “Cours preparatoire au concours ENSI”, to train second year students for the selection to national schools of engineering. 2012/2013 (Universit´ e de Versailles) · Teaching Assistant for “Math´ematiques G´en´erales 3” (Second year engineering students). See above · Teaching Fellow for “Cours preparatoire au concours ENSI”. See above 2013/2014 (Universit´ e de Versailles) · Teaching Assistant for “Math´ematiques G´en´erales 3” (Second year physics students). See above · Teaching Fellow for “Cours preparatoire au concours ENSI”. See above 2014/2015 (Leiden University College) · Instructor for “Statistics”, statistics course for first year students majoring in Economics and Political Science. The course included Lab sessions with the use of the program “R”.

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Service activities · Student representative at the Science faculty (from 2006 to 2009) and at the math department (2009/10) in Padova · Graduate student representative at the graduate school “Sciences et Technologies of Versailles” (2012/13 and 2013/14) · Organizer of the Young Researchers Seminar at Versailles (2012/13 and 2013/14) · Co-organizer of the workshop “Les Incontournables”, on the fundamental papers of algebraic geometry in Jussieu, Paris (2012/13 and 2013/14)

Popularization and Outreach · 2007 - Co-organizer and tutor for math camps for primary school students in Cloz (Italy) · From 2006 to 2010 - Co-organizer of “L’aperitivo con lo scienziato”, a series of science conferences, within the association “Democrito” in Padova (Italy) · From spring 2013, ongoing - Redacteur for the website “Images des maths” du Centre National de la R´ech`erche Scientifique · Spring 2013 - Educational trainer for the scientific festival of the association “Paris Montagne” at the Ecole Normale Sup´erieure de Paris · Summer 2013 - Participation in the short movie “Rencontre fusionnelle”, made by the students at biophysics laboratory of Ecole Normale Sup´erieure de Paris · Fall 2013 - Educational trainer for the “Fˆete de la Science” in Jussieu, Paris · October 2013 - Talk: “La vie et l’oeuvre d’Evariste Galois” at UTL-Essonne, Montgeron

Research and Expository Talks Invited seminar and conference talks · May 2011 - “An introduction to Berkovich spaces”, Arithmetic Oberseminar, Hannover · April 2013 - “From positive to zero characteristic: lifting problems in algebraic geometry”, S´eminaire des th´esards, Paris 7 · June 2013 - “Lifting actions of finite groups over curves: the role of Berkovich spaces and algebraic geometry in positive characteristic”, S´eminaire “Jouve-Pazuki”, Bordeaux · July 2013 - “Hurwitz trees in non-Archimedean analytic geometry”, Journ´ees arithm´etiques, Grenoble · November 2013 - “Lifting algebraic varieties”, R´eseau d’Etudiants en G´eom´etrie Alg´ebrique, Institut Henri Poincar´e, Paris

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· February 2014 - “Lifting Galois covers to characteristic zero with non-Archimedean analytic geometry”, NYU Algebraic geometry seminar, New York · March 2014 - “Lifting Galois covers to characteristic zero with non-Archimedean analytic geometry”, Collaborative Number Theory Seminar, CUNY Graduate Center, New York · April 2014 - “The `-modular Weil representation”, S´eminaire d’Alg`ebre et G´eom´etrie, Versailles · April 2014 - “Arbres de Hurwitz en g´eom´etrie analytique non-Archim´edienne”, S´eminaire de g´eom´etrie tropicale de l’Institut de Math´ematiques de Jussieu, Paris · May 2014 - “Probl`emes de rel`evement en g´eom´etrie alg´ebrique”, S´eminaire “MathJeunes”, Ecole Normale Sup´erieure, Paris · May 2014 - “Lifting Galois covers to characteristic zero with non-Archimedean analytic geometry”, Algebra und Geometrie Oberseminar, Goethe Universit¨at, Frankfurt · June 2014 - “Lifting Galois covers to characteristic zero with non-Archimedean analytic geometry”, GaEL XXII, SISSA, Trieste · October 2014 - “The tropical Brill-Noether theorem”, Graduate Student Seminar, Columbia University, New York · November 2014 - “Lifting Galois covers to characteristic zero with non-Archimedean analytic geometry”, Galois seminar, University of Pennsylvania, Philadelphia · December 2014 - “Resolution of non-singularities for Mumford curves (after Lepage)” Algebra seminar, University of Pennsylvania, Philadelphia · January 2015 - “Hurwitz trees in non-Archimedean analytic geometry”, AMS Joint Mathematical Meeting, San Antonio · May 2015 - “Lifting Galois covers of curves: a non-Archimedean analytic approach”, Algebra, Geometry and Number Theory Seminar, Leiden · May 2015 - “Rel`evement de revˆetements Galoisiens de courbes : un approche analytique non-Archim´edien”, S´eminaire de Th´eorie des Nombres, Limoges · June 2015 - “Rel`evement de revˆetements Galoisiens de courbes : un approche analytique non-Archim´edien”, S´eminaire de Th´eorie des Nombres, Montpellier

Other talks · July 2011 - “Harmonic functions over non-archimedean analytic curves”, Algant Graduation Ceremony, Milano · February 2012 - “The distance between numbers: a journey in the p-adic world”, S´eminaire des jeunes, Versailles

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· March 2012 - “Wild ramification of schemes and sheaves, computation of Swan conductors”, Project group of Mieda-Saito, Arizona Winter School, Tucson · November 2012 - “The lifting of actions of finite groups: a non-Archimedean analytic approach”, Groupe de travail d’alg`ebre et g´eom´etrie, Versailles · February 2013 - “The idea of point in algebraic geometry”, S´eminaire des jeunes, Versailles · March 2013 - “p-adic numbers for dummies”, S´eminaire des lapins, Paris 6 · May 2013 - “Monsky’s theorem on dividing a rectangle into equivalent triangles”, closing talk of “Les incontournables”, Paris 6 · January 2014 - “Is it possible to divide a square in an odd number of triangles of same area?”, S´eminaire des lapins, Paris 6 · September 2015 - “Hurwitz trees for Berkovich curves”, MPIM Oberseminar, Bonn

Language skills Italian: English: French: Spanish: German: Dutch: Portuguese:

Mother tongue Fluent Fluent Intermediate Elementary Beginner Beginner Last modification: October 19, 2015