DATA
name: Andrea BANDINI
born in Siena (SI), Italy, July 20th, 1971
home address: via di Parigi, 5/A
56124 Pisa (PI), Italy
office address: Dipartimento di Matematica - Università degli Studi di Parma
Parco Area delle Scienze, 53/A
43124 Parma, Italy
e-mail: [email protected]
Home page: http://people.math.unipr.it/andrea.bandini
EDUCATION - CURRENT POSITION
June 1995 Laurea in Mathematics from University of Pisa (ITA), cum laude.
June 2000 Diploma from the Master Class in “Arithmetic Algebraic Geometry”, Mathematical Research Institute, University of Utrecht (NL).
May 2002 PhD in Mathematics from the Scuola Normale Superiore in Pisa (ITA), cum
laude.
July 2005 Research Assistant in Algebra at the University of Calabria (ITA) from July
15th.
Dec. 2010 Research Assistant in Algebra at the University of Parma (ITA) from December
16th.
PUBBLICATIONS
1. Extensions of the p-adic fields generated by the roots of a single polynomial in
two variables,
Ann. di Mat. Pura ed Appl. di Firenze, Serie IV 175 (1998), 223-232.
2. Functions f : Z/pn Z −→ Z/pn Z induced by polynomials of Z[X],
Ann. di Mat. Pura ed Appl. di Firenze, Serie IV 181 (2002), 95-104.
3. Greenberg’s conjecture for Zdp -extensions,
Acta Arith. 108 (2003), 357-368.
4. Three-descent and the Birch and Swinnerton-Dyer conjecture,
Rocky Mount. J. of Math. 34 (2004), 13–27.
5. Greenberg’s conjecture for multiple Zp -extensions,
Proceedings of the Secondo Convegno Italiano di Teoria dei Numeri, Parma 13
- 15 novembre 2003, Riv. Mat. Univ. Parma 7 (3*) (2004), 151–158.
6. Greenberg’s conjecture and capitulation in Zdp -extensions,
J. Number Theory 122 (2007), 121–134.
7. A note on p-ranks of class groups in Zp -extensions,
JP J. Algebra Number Theory Appl. 9 (2007), 95–103.
8. 3-Selmer groups for curves y 2 = x3 + a,
Czechoslovak Math. J. 58 (2008), 429–445.
9. Control theorems for elliptic curves over function fields, (with I. Longhi)
Int. J. Number Theory 5 (2009), no. 2, 229–256.
10. Torsion points on elliptic curves over function fields and a theorem of Igusa,
(with I. Longhi e S. Vigni)
Expo. Math. 27 (2009), no. 3, 175–209.
11. Selmer groups for elliptic curves in Zdl -extensions of function fields of characteristic p, (with I. Longhi)
Ann. Inst. Fourier 59 (2009), no. 6, 2301–2327.
12. Number fields generated by the 3-torsion points of an elliptic curve,
(with L. Paladino)
Monatsh. Math. 168 (2012), no. 2, 157–181.
13. Characteristic ideals and Iwasawa theory, (with F. Bars e I. Longhi)
New York J. Math. 20 (2014), 759–778.
14. On Selmer groups of abelian varieties over `-adic Lie extensions of global function fields, (with M. Valentino)
Bull. Braz. Math. Soc. (N.S.) 45 (2014), no. 3, 575–595.
15. Stabilization in non-abelian Iwasawa theory, (with F. Caldarola)
Acta Arith. 169 (2015), no. 4, 319–329.
16. Characteristic ideals and Selmer groups, (with F. Bars e I. Longhi)
J. Number Theory 157 (2015), 530–546.
17. Control Theorems for `-adic Lie extensions of global function fields, (with M.
Valentino)
to appear in Ann. Sc. Norm. Sup. Pisa Cl. Sci. DOI Number: 10.2422/20362145.201304 001 , arXiv:1206.2767[math.NT] (2013).
18. Stabilization for Iwasawa modules in Zp -extensions, (with F. Caldarola)
to appear in in Rend. Semin. Mat. Univ. Padova.
19. Aspects of Iwasawa theory over function fields, (with F. Bars e I. Longhi)
CRM (Centre de Recerca Matemàtica) Barcelona, preprint n. 923, (2010), to
appear in the EMS Congress Reports.
20. Fields generated by torsion points of elliptic curves, (with L. Paladino)
arXiv:1403.2572 [math.NT] (2014).
SEMINARS - TALKS
Oct. 1999 “Iwasawa theory and Greenberg’s pseudo-null conjecture”, Intercity Number
Theory Seminar (Leiden, NL).
May 2002 “Iwasawa theory for multiple Zp -extensions” (italian), University of Rome “Tor
Vergata” (ITA).
Nov. 2003 “Greenberg’s conjecture for multiple Zp -extensions”, Second Italian Congress in
Number Theory, (Parma, ITA).
Mar. - Apr. 2005 “Iwasawa theory for Zp -extensions” and “Iwasawa theory for elliptic curves”
(italian), University of Pisa (ITA).
Jan. 2007 “Towards a Main Conjecture in Iwasawa theory for elliptic curves over function
fields”, Laboratoire de Mathématiques Nicolas Oresme - Université de Caen
(FR).
Mar. 2007 “Iwasawa theory and Main Conjecture for elliptic curves over number fields”
(italian), Scuola Normale Superiore in Pisa (ITA).
July 2007 “Control theorem and Main Conjecture for elliptic curves over function fields”
XXVth Journèe Arithmètiques (Edinburgh, GB).
Sept. 2007 “Control theorem and L-functions for elliptic curves over function fields” Arithmetic Algebraic Geometry (Poznan, PL).
Mar. 2008 “Iwasawa theory for Zp -extensions”, University of Pisa (ITA).
May 2008 “Iwasawa theory for elliptic curves over function fields”, Workshop on Analytic
Number Theory (Parma, ITA).
Apr. 2010 “On Main Conjectures for Z∞
p -extensions” Workshop on Iwasawa theory over
function fields of characteristic p > 0 (Barcelona, ES).
Nov. 2010 “Iwasawa theory for elliptic curves” (italian), University of Parma (ITA).
Mar. 2013 “Characteristic ideals of Selmer groups for p-adic Lie extensions of function
fields”, Universität Basel (CH).
July 2013 “Pseudo-null submodules of Selmer groups”, CRM (Centre de Recerca Matemàtica) - Barcelona (ES).
Dec. 2013 “Characteristic ideals and Iwasawa theory” (italian), University of Calabria
(ITA).
June 2014 “Iwasawa Main Conjecture for cyclotomic extensions of function fields”, Joint
International Meeting RSME-SCM-SEMA-SIMAI-UMI (Bilbao, ES).
Set. 2015 “Main Conjecture and special values of the Goss-Carlitz ζ-function for function
fields”, XX Congresso UMI (Siena).
OTHER CONFERENCES - VISITS
July 1997
March 1999
April-June 1999
A.A. 1999-2000
July 1999
June 2002
July 2004
July 2006
Aug. 2006
July 2008
Jan-April 2009
July 2009
Mar. 2010
March-April 2010
June 2011
Sept. 2011
Nov. 2012
July 2013
Summer School on “Arithmetical Theory of Elliptic Curves”, Cetraro (ITA).
Visiting the Université de Franche-Comté in Besancon (FR).
Visiting the University of Washington in Seattle (USA).
Master Class in “Arithmetic Algebraic Geometry” in Utrecht (NL).
“XXIth Journèe Arithmètiques”, Rome (ITA).
“Explicit Methods in Galois Theory”, Leiden (NL).
“Congrès Iwasawa”, Besancon (FR).
“Congrès Iwasawa”, Limoges (FR).
“ICM (International Congress of Mathematics) 2006”, Madrid (ES).
“Congrès Iwasawa - Iwasawa 2008”, Augsburg (GER).
Visiting the University of Pisa to held a PhD course.
“Modular forms, p-adic Hodge Theory and Applications”, Roscoff (FR).
“Italy-India Conference on Diophantine and Analytic Number Theory”, Centro
Ennio de Giorgi - Scuola Normale Superiore, Pisa.
Visiting the University of Barcelona (ES) for the CRM Research Program in
“Arithmetic geometry for function fields of positive characteristic”.
“XXIInd Rencontres Arithmétiques de Caen - Arithmetic Geometry over function fields”, Caen (FR).
“XIX Congress of the Italian Mathematical Union”, Bologna (ITA).
“Zeta functions and L-series in positive characteristic”, Centro Ennio de Giorgi
- Scuola Normale Superiore, Pisa.
Visiting the CRM (Centre de Recerca Matemàtica) in Barcelona (ES).
GRANTS - POSTDOC
A.A. 1999-2000 Grant from the MRI for the Master Class in “Arithmetic Algebraic Geometry”
in Utrecht (NL) (8 months).
Dec. 2002 Postdoc position at the University of Rome “Tor Vergata” (ITA) (1 year).
June 2003 Grant from the University of Pisa (ITA) (6 months).
Feb. 2004 Postdoc position at the University of Pisa (ITA) (2 years, terminated on July
15th, 2005 for the Research Assistant position at the University of Calabria).
OTHER ACTIVITIES
PhD/Post Doc Students.
Advisor for the PhD of:
1. Maria Valentino “Noncommutative Iwasawa theory for Selmer groups of abelian
varieties over global function fields”, University of Calabria (December 2013);
2. Fabio Caldarola “Capitulation and stabilization in various aspects of Iwasawa theory
for Zp -extensions”, University of Calabria (December 2013).
Supervisor for:
Laura Paladino (2010-2011) “Torsion points on elliptic curves and local-global problems”.
Organizer.
Member of the Scientific Committee for the “XXIInd Rencontres Arithmétiques de
Caen - Arithmetic Geometry over function fields” (June 2011).
PhD course for the Universities of Ferrara, Modena and Parma “Aspects of Iwasawa
theory”, lectures by Prof. Manabu Ozaki (Waseda University, Tokyo) and Andrea
Bandini (November 2014).
Member of the Organizing Committee for the “Terzo Incontro Italiano di Teoria dei
Numeri - Third Italian Number Theory Meeting” (September 2015, Centro De Giorgi,
Pisa).
Everything else.
Participant in the research program “Diophantine approximation and algebraic number
theory”
PRIN (2005/2007) Scientific coordinator Prof. Perelli Alberto (University of Genova);
PRIN (2007/2009) Scientific coordinator Prof. Zannier Umberto Maria (Scuola Normale Superiore of Pisa).
PRIN (2010/2012) Coordinatore scientifico Prof. Zannier Umberto Maria (Scuola Normale Superiore di Pisa).
Referee for Journal of Number Theory.
Referee for the Rivista di Matematica della Università di Parma.
Reviewer for Zentralblatt.
TEACHING
A.A. 2000/01 “Geometry” (Assistant) in La Spezia.
“Discrete Mathematics” (Assistant) University of Pisa.
A.A. 2001/02 “Analysis I” (Assistant) in La Spezia.
“Algebra” (Assistant) in La Spezia.
“Algebra” (Assistant) University of Pisa.
A.A. 2002/03 “Elements of Analytic Geometry” (Assistant) University of Pisa.
“Linear Algebra” (Assistant) University of Pisa.
A.A. 2004/05 “Mathematics 2” (Assistant) University of Pisa.
A.A. 2005/06 University of Calabria:
“Introduction to groups, rings and fields”.
“Arithmetic” (Assistant).
A.A. 2006/07 University of Calabria:
“Introduction to groups, rings and fields”.
“Arithmetic” (Assistant).
“Advanced Algebra (Number Theory)” PhD course.
A.A. 2007/08 University of Calabria:
“Introduction to groups, rings and fields”.
“Arithmetic” (Assistant).
“Geometry”.
A.A. 2008/09 “Iwasawa theory for elliptic curves over global fields” PhD course at the University of Pisa.
University of Calabria:
“Introduction to groups, rings and fields”.
“Arithmetic” (Assistant).
“Discrete Mathematics II”.
A.A. 2009/10 University of Calabria:
“Introduction to groups, rings and fields”.
“Advanced algebra”.
“Iwasawa theory: class groups and elliptic curves” PhD course.
A.A. 2010/11 University of Calabria:
“Algebra”.
University of Parma:
“Calculus”.
A.A. 2011/12 University of Parma:
“Calculus”.
A.A. 2012/13 University of Parma:
“Calculus”.
“Algebraic Field Extensions”.
A.A. 2013/14 University of Parma:
“Calculus”.
“Numerical systems and Galois theory”.
A.A. 2014/15 University of Parma:
“Numerical systems and Galois theory”.
A.A. 2015/16 University of Parma:
“Numerical systems and Galois theory”. “Algebraic Field Extensions”.
Advisor for 7 Laurea Triennale in Mathematics at the University of Calabria.
Advisor for 5 Laurea Magistrale in Mathematics at the University of Calabria.
Advisor for 3 Laurea Magistrale in Mathematics at the University of Parma.