Anna CADORET • Institutional address: (Office 6:10

Updated: April 23rd, 2016.
Anna CADORET
• Institutional address: (Office 6:10-15) Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91128 PALAISEAU FRANCE.
Tel: (33)(0)169334916.
Email: [email protected].
U.R.L.: http://www.math.polytechnique.fr/perso/cadoret/index.html
• Education:
Habilitation à diriger des recherches (Nov. 16th, 2010) Représentations du groupe fondamental étale, defended in front of M.M. Y. André, D. Harari, M. Hindry, L. Illusie and L. Moret-Bailly
(Referees: D. Abramovich, D. Harari, M. Kim).
Ph.D. thesis (Dec. 16th, 2004) Théorie de Galois inverse et arithmétique des espaces de Hurwitz.
Advisor: P. Dèbes.
• Research interests: Arithmetic geometry and number theory. Keywords: Etale fundamental
group, adelic, `-adic and mod ` Galois representations, étale cohomology, curves and abelian schemes,
group theory (algebraic, `-adic, adelic, finite), motives, Shimura varieties, rational points on algebraic
stacks and their moduli spaces.
• Regular faculty positions:
École Polytechnique: Professeur associé à l’Ecole Polytechnique (Sept 2011 - ).
Université Bordeaux 1: Maı̂tre de Conférences (Sept 2006 - ) (détachée).
Université Lille 1/E.N.S. Cachan: A.T.E.R. (Sept 2005 - Aug 2006), A.M.N. (Sept 2002 - Aug
2005).
• Visiting positions:
– Long term (three months or more):
∗ R.I.M.S. (Kyoto): Distinguished Visiting Professor (June - Aug 2016).
∗ R.I.M.S. (Kyoto): Visiting Professor (May - Aug 2015).
∗ Institute for Advanced Study (Princeton): Von Neumann Fellow (Sept 2013 - July 2014).
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∗ R.I.M.S. (Kyoto): Visiting Professor (May - Aug 2013).
∗ R.I.M.S. (Kyoto): Visiting Fellow in the frame of the Long-term J.S.P.S. fellowship P06033
(Host professor: A. Tamagawa) (Sept 2006 - Sept 2007).
– Short term:
∗ Radboud University Nijmegen (Nijmegen): Visiting researcher, invited by Ben Moonen,
January 2015.
∗ R.I.M.S.:
· Visiting researcher funded by the ARIVAF ANR project, Aug 2014;
· Visiting researcher in the frame of joint research projects (P.H.C. Sakura, joint project
C.N.R.S./J.S.P.S.), 2008 - 2012;
· Visiting research fellow (Host professor: A. Tamagawa), Aug 2005.
∗ Indiana University (Bloomington - U.S.A.): Visiting professor, Dec, 2nd-6th, 2013.
∗ Morningside Center of Mathematics (Beijing): Visiting professor, Oct 2010.
∗ Institut de Mathématiques de Jussieu / Fondation des Sciences Mathématiques de
Paris Centre (Paris): Visiting researcher (Host Professor: M. Hindry), Nov 2009 - Jan 2010.
∗ Isaac Newton Institute (Cambridge - U.K.): Visiting researcher in the frame of the special
semester N.A.G. (Non Abelian Fundamental Groups in Arithmetic Geometry), Oct 2009.
∗ Tata Institute for Fundamental Research (Mumbai): Visiting researcher in the frame of
the special semester on arithmetic geometry, Oct 2008.
∗ Academia Sinica (Taipei): Visiting researcher in the frame of the P.H.C. Orchid ”Nouvelles
méthodes en géométrie algébrique et géométrie arithmétique”, Dec 2007.
∗ Max Planck Institut fur Mathematik (Bonn): Visitor, Aug 2005.
• Personal grants or awards:
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I.A.S. - Von Neumann Fellowship (Sept 2013 - July 2014).
Délégations C.N.R.S. Fall semester, 2010, Fall semester, 2009.
P.E.D.R. (Sept 2007 - Sept 2011).
Long-term J.S.P.S. fellowship P06033 Host Professor: A. Tamagawa at R.I.M.S. - Kyoto (Sept
2006 - Sept 2007).
– A.M.N. Université Lille 1/E.N.S. Cachan (Sept 2002 - Sept 2005).
• Research projects:
– Joint program C.N.R.S./J.S.P.S. ”p-adic and motivic aspects of Galois representations” with
T. Ito at Kyoto University (2016-2018 - 10 Keuros/year). Team leader.
– A.N.R. J.C.J.C. ECOVA - Etude COhomologique des Variétés Algébriques (2015-2019 - 166
Keuros). Main coodinator.
– A.N.R. J.C.J.C. ARIVAF - ARIthmétique des VAriétés en Familles (2011-2014 - 100 Keuros).
Main coodinator. See: http://www.math.polytechnique.fr/∼cadoret/ARIVAF.html.
– Joint program C.N.R.S./J.S.P.S. ”Representations of etale fundamental groups and applications” with A. Tamagawa at R.I.M.S. - Kyoto (2010-2011 - 15 Keuros/year). Team leader.
– P.H.C. Sakura (EGIDE/J.S.P.S.) ”Torsion on abelian schemes and rational points on moduli
spaces” with A. Tamagawa at R.I.M.S. - Kyoto (2008-2009 - 6Keuros/year). Team leader.
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• Publications:
Research papers (in international journals)
1. Counting real Galois covers of the projective line,
Pacific Journal of Mathematics, vol. 219 No 1, p. 101-129, 2005.
2. Harbater-Mumford subvarieties of moduli spaces of covers,
Math. Annalen, vol 333 No 2, p. 355-391, 2005.
3. Lifting results for rational points on Hurwitz moduli spaces,
Israel Journal of Mathematics, vol. 164, p. 19-61, 2008.
4. Stratification of Hurwitz spaces by closed modular subvarieties,
with Akio Tamagawa,
Pure and Applied Mathematics Quatterly, vol. 5 No 1 (Special Issue: In honor of Jean-Pierre Serre
2/2), p. 227-253, 2009.
5. On the profinite regular inverse Galois problem,
Publ. R.I.M.S., vol. 44, p. 1143-1168, 2008.
6. Abelian obstruction in inverse Galois theory,
with Pierre Debes,
Manuscripta Mathematica vol. 128, p. 329-341, 2009.
7. On uniform boundedness of p-torsion on Abelian schemes,
with Akio Tamagawa,
Inventiones Math., vol. 188, p. 83-125, 2012.
8. On a weak variant of the geometric torsion conjecture,
with Akio Tamagawa,
Journal of Algebra, vol. 346, p. 227-247, 2011.
9. A uniform open image theorem for `-adic representations of the etale fundamental group of curves
I,
with Akio Tamagawa,
Duke Math. Journal vol. 161, p. 2605-2634, 2012.
10. A uniform open image theorem for `-adic representations of the etale fundamental group of curves
II,
with Akio Tamagawa,
Duke Math. Journal vol. 162, p. 2301-2344, 2013.
11. Controlling the image in one-dimensional families of `-adic Galois representations,
with Akio Tamagawa,
Journal of Algebra, vol. 412, p. 189-206, 2014.
12. An adelic open image theorem for abelian schemes,
to appear in I.R.M.N.
13. On `-independency in families of motivic `-adic representations,
Manuscripta Mathematica, vol. 147, p. 381-398, 2015.
14. Note on the gonality of abstract modular curves II, with an appendix ‘Gonality, isogonality and
points of bounded degree on curves’,
with Akio Tamagawa,
to appear in Compositio Mathematica.
Research papers (in refereed proceedings)
15. Torsion of abelian schemes and rational points on moduli spaces,
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with Akio Tamagawa,
R.I.M.S. Kokyuroku Bessatsu (Proceedings of the R.I.M.S.), B12 Algebraic Number Theory and
Related Topics 2007, M. Asada, H. Nakamura and H. Takahashi eds, p. 7-30, 2009.
16. Note on the gonality of abstract modular curves,
MATCH-HGS C.M.S. vol. 2, ”PIA 2010 - the arithmetic of fundamental groups”, J. Stix ed,
Springer, p. 89-106, 2012.
17. Note on torsion conjecture,
with Akio Tamagawa,
In ”Groupes de Galois Géométriques et differentiels”, P. Boalch and J.-M. Couveignes eds., Séminaires
et Congrès, vol. 27, p. 57-68, S.M.F., 2012.
18. The l-primary torsion conjecture for abelian surfaces with real multiplication,
R.I.M.S. Kokyuroku Bessatsu (Proceedings of the R.I.M.S.) B32 ”Algebraic Number Theory and
Related Topics - 2010”, M. Kida, S. Kobayashi, N. Suwa eds., p. 195–204, 2012.
Survey papers (in refereed proceedings)
19. Galois categories,
In the Proceedings of the Summer School ”Arithmetic and Geometry around Galois Theory Istanbul 2009”, P. Dèbes, M. Emsalem, M. Romagny, M. Uludag eds, Progress in Math. 304, p.
171–246, Birkhauser, 2012.
20. Motivated cycles under specialization,
In ”Groupes de Galois Géométriques et differentiels”, P. Boalch and J.-M. Couveignes eds., Séminaires
et Congrès, vol. 27, p. 25-55, S.M.F., 2012.
Preprints (most of them are available on http://www.math.polytechnique.fr/e)
21. On subgroups of GLr (F` ) and representations of étale fundamental groups, with Akio Tamagawa
(submitted).
22. Genus of abstract modular curves with level-` structures, with Akio Tamagawa (submitted). Note:
this paper includes the former preprint On a weak variant of the geometric torsion conjecture II,
which it improves.
23. Integral and adelic aspects of the Mumford-Tate Conjecture, with Ben Moonen (submitted).
24. Galois generic points on Shimura varieties, with Arno Kret (submitted).
25. Geometric monodromy - semisimplicity versus maximality, with Chun-Yin Hui and Akio Tamagawa
(submitted).
26. Representations of étale fundamental group and specialization of algebraic cycles (in preparation).
• Invited talks:
As invited speaker in conferences:
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Workshop Arithmetic Algebraic Geometry, Courant Institute, New-York (U.S.A.) (August 2016);
Workshop Arithmetic geometry, Xiamen (China) (July 2016);
London-Paris Number Theory Seminar, London (June 2016);
Journées annuelles du G.D.R. T.L.A.G. (théorie de Lie algébrique et géométrique), Reims (June
2016);
– Sinofrench workshop in algebraic and arithmetic geometry, Bordeaux (May 2016);
– Workshop Torsors in arithmetic and algebraic geometry, Nice (January 2016);
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– Workshop Lifting problems and Galois theory, Banff (Canada) (August 2015);
– AMS algebraic geometry summer institute 2015 (session on ”arithmetic of étale fundamental group”),
Salt Lake City (U.S.A.) (July 2015);
– 29th Journées arithmétiques 2015 - Plenary speaker, Debrecen (Hungary) (July 2015);
– Workshop Galois representations - Luxembourg (Luxembourg) (November 2014);
– Workshop Langlands Correspondence and Constructive Galois Theory, Oberwolfach (Germany)
(February 2014);
– Worjshop Fundamental groups in arithmetic and algebraic geometry - Centro di Ricerca Matematica
Ennio de Giorgi, Pise (Italy) (December 2013);
– Workshop Rational points on curves: A p-adic and computational perspective - Oxford (U.K.)
(September 2012);
– ’Workshop Abelian varieties and Galois actions, Adam Mickiewicz University - Poznan (Poland)
(June, 2011);
– Workshop Algebraic number theory and related topics, R.I.M.S. - Kyoto (Japan) (December 2010);
– Mini-workshop on Arithmetic Geometry and Related Topics, Kyoto Univ. - Kyoto (Japan) (July,
2010);
– Workshop Groupes de Galois Arithmétiques et différentiels - C.I.R.M. - Luminy (April 2010);
– Workshop PIA2010 - Heidelberg (Germany) (February 2010);
– Workhop Torsion of abelian schemes and rational points on moduli spaces - I.M.B. - Bordeaux
(January 2010);
– Workshop Higher dimensional algebraic geometry, R.I.M.S. - Kyoto (Japan) (December, 2009);
– Anabelian geometry workshop - Isaac Newton Institute - Cambridge (U.K.) (October, 2009);
– Hiroshima 8th Number Theory workshop - Hiroshima (Japan) (July 2009);
– G.A.G.T. summer school - Istanbul (Turkey) (June 2009);
– Ehime Number Theory workshop - Ehime (Japan) (February 2009);
– G.A.M.S.C. summer school - Istanbul (Turkey) (June 2008);
– Workshop Arithmetic of curves and covers, Lille (November 2007);
– Workshop Arithmetic and differential Galois groups, Oberwolfach (Germany) (May 2007);
– Workshop Recent developments on algebraic curves, Versailles (April 2007);
– Workshop Arithmetic Galois theory and related moduli spaces, R.I.M.S. - Kyoto (Japan) (October
2006);
– GaloisTheorieKolloquium, I.E.M. - Essen (Germany) (June 2006);
– Workshop Profinite arithmetic geometry, Red Lodge - Montana (U.S.A.) (April 2006);
– Workshop The arithmetic of fields, Oberwolfach (Germany) (February 2006);
– Workshop Arithmetic Geometry of Covers of Curves and Related Topics, R.I.M.S. - Kyoto (Japan)
(September 2005).
As invited speaker in seminars: E.T.H. Zurich (March 2016), Alfred Renyi Institute of Mathematics (December 2015), U.C.B.L. (December 2015); University of Amsterdam (December 2015);
Poznam (October 2015); S.A.G.A. - Orsay (February 2015); Besançon (January 2015); Paris 13 (December 2014); U.C.L.A. (April 2014); Indiana University (December 2013); P.U./I.A.S. joint Number
Theory Seminar (November 2013); UPenn Galois Theory Seminar (November 2013); New-York joint
Number Theory Seminar (October 2013); I.R.M.A. - Strasbourg (April 2013); Dutch Intercity Seminar (March 2013); U.V.S.Q. (February 2013); Autour des Cycles Algébriques - Paris 6, 7, Ecole
Polytechnique (February 2013); Marseilles (January 2013); U.C.B.L./E.N.S. Lyon (March 2012); University of Zurich (March 2012); E.N.S. Paris (séminaire variétés rationnelles) (February 2012); I.M.J.
- Paris 6, 7 (February 2012); Kyushu University (January 2012); I.E.M. - Essen (July 2011); Paris
13 (April 2011); Caen (April 2011); Toulouse (March 2011); Padoue (May 2010); Montpellier (March
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2010); Besançon (March 2010); S.A.G.A. - Orsay (March 2009); London Number Theory Seminar
(January 2009); E.T.H.Z. (December 2008); T.I.F.R. (October 2008); Academia Sinica (December
2007); G.T.E.M. - Lille 1 (December 2007); K.I.A.S. (August 2007); G.T.E.M. - Lille 1 (March 2007);
Hiroshima University (January 2007); Okayama University (January 2007); Waseda University (December 2006); Tokyo University (December 2006); I.R.M.A.R. - Rennes 1 (June 2006); Colorado State
University (April 2006); Institut Fourier - Grenobles 1 (March 2006); Caen (February 2006); Paris 6
(January 2006); E.P.F.L. (December 2005); I.E.M. - Essen (June 2005); I.M.B. - Bordeaux 1, (June
2005); Besançon, (April 2005); Limoges (April 2005);
• Administrative activities:
Research projects: See above.
To the community:
Coorganizer:
– Summer School/Conference ‘Fundamental groups in arithmetic geometry 2016’ (with Ph. Lebacque,
E. Lepage, J. Poineau) I.H.P. - Paris (May 26th - June 3rd);
– Conference ’Sinofrench workshop in algebraic and arithmetic geometry’ (with Q. Liu, G. Tian, C.
Xu), Bordeaux (May 2016);
– Working group: ’”Introduction à la théorie de Bruhat-Tits” (with B. Rémy). Ecole Polytechnique
(one day monthly meeting during the academic year 2014-15);
– Working group: ’”Déformations p-adiques des classes de cycles algébriques (after S. Bloch, H.
Esnault et M. Kerz)” (with A. Pirutka). Ecole Polytechnique (one two-hours weekly meeting
during the academic year 2012-13);
– Working group: ”Méthodes tannakiennes en géométrie diophantienne (after Minhyong Kim)” (with
D. Harari). Ecole Polytechnique (four one day meetings March - June 2012);
– ARIVAF workshops:
∗ Opening meeting (with M. Romagny). I.M.J. - Paris (Nov, 9th-10th, 2010).
∗ ARIVAF 1: ”Groupe fondamental étale des schémas” (with J. Tong). I.M.B. - Bordeaux
(March, 9th-11th, 2011).
∗ ARIVAF 3: ”Conjecture de Mumford-Tate 1” (with N. Ratazzi). I.H.P. - Paris (Nov, 8th 10th, 2011).
∗ ARIVAF 5: ”Conjectures de Weil - d’après Grothendieck et Deligne” (with C. Pépin and J.
Tong). I.H.P. - Paris (Dec, 19th - 21st, 2012).
∗ ARIVAF closing conference. I.M.B. - Bordeaux (Nov, 4th - 7th, 2014).
– Sakura workshop ”Torsion of Abelian Schemes and Rational Points on Moduli Spaces” (with A.
Tamagawa) I.M.B. - Bordeaux (Jan 25th-29th, 2010).
– Co-president, with Eva Bayer-Fluckinger, of the scientific committee for the 12ème forum des jeunes
mathématicien-ne-s. I.H.P. - Paris (Nov, 12th-14th, 2012).
Selection committees for M.C.F. Positions: 25 MCF 4118 (2013), 25 MCF 4066 (2012) and 25 MCF
4067 (2012) - Paris 7, 25 MCF 4073 (2012) - I.R.M.A. (Strasbourg), 25 MCF 4039 (2012) - U.V.S.Q..
Selection committee for Associate Professor in Algebraic Geometry (211-0385), University of Copenhagen (2016).
C.N.U.: appointed member (titulaire Collège B) (2012 - 2015).
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Agrégation Externe de Mathématiques: member of the jury (2008 - ).
Ph.D. Theses: member of the jury for the Ph.D. defences of A. Laskar (December 2012, I.R.M.A. Strasbourg), O. Cau (December 2012, Lille 1) and D. Lombardo (December 2015 - Paris 11).
To the department:
Ecole Polytechnique:
– C.M.L.S.:
∗ Algebra Team: Team leader (2012 -).
∗ Conseil de Laboratoire - elected member (2012 -);
– Mathematics Department:
∗ Conseil de département - elected member (2012 -);
∗ Selection committee for P.C.C. and Hadamard Positions (2013).
∗ Responsible for the 3rd year (Master 1) program (2012/13, 2014-).
I.M.B.:
– I.M.B. Number theory seminar: coorganizer (2007 - 2010).
– Selection committees for M.C.F. Positions: 25 MCF 0410 (2011), 25 MCF 0186 (2010).
– Consultative hiring committee for section 25 (2010 - 2011).
– Conseil de l’I.M.B. - elected member (2010).
• Teaching (master level and above):
M2 doctoral course: ”Familles de représentations galoisiennes `-adiques et `-indépendance” (20
hours) (2014/15 and 2015/16 - M2 AAG Paris 11).
M2 advanced course: ”Algebraic geometry II” (50 hours) (2010/11 - M2 Bordeaux 1).
M2 advanced course: ”Etale fundamental group” (50 hours) (2009/10 - M2 Bordeaux 1).
Post-doctoral lectures: ”Etale fundamental group” (16 hours) (Morningside Center of Mathematics, Beijin - Oct 2010).
Master 2 theses: G. Leroux (2007/08 - Bordeaux 1), S. Habibi (2007/08 - Bordeaux 1), S. Marques
(2009/10 - Bordeaux 1), L. Memlong (2014/15 - Paris 6), E. Ambrosi (2015/16 - Paris 11), M.-T.
Nguyen (2015/16 - Paris 11), H.Vullierme (2015/16 - Paris 6).
Master 1 course (Fall semester): ”MAT556 Groups and representations” (3rd year at Ecole Polytechnique) (2011/12, 2012/13, 2014/15, 2015/16).
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