Riccardo Brasca - imj

Riccardo Brasca
Contact
Information
Institut de Math´ematiques de Jussieu
Universit´e Paris VII
Bˆ
atiment Sophie Germain
75205 Paris Cedex 13
France
Office: 605
Telephone: (+33) 01-57-27-93-02
E-mail: [email protected]
Website: http://www.imj-prg.fr/˜riccardo.brasca/
Date of Birth
26 October 1984
Citizenship
Italian
Current
position
Institut de Math´
ematiques de Jussieu, Paris
Past positions
´
Ecole
normale sup´
erieure de Lyon, Lyon
• Maˆıtre de conf´erences (associate professor)
• Post-Doc
September 2013 - present
October 2012 - August 2013
Max Planck Institute for Mathematics, Bonn
• Post-Doc
April 2012 - September 2012
Institut Henri Poincar´
e, Paris
• Guest for the Galois trimester
January 2010 - March 2010
Research
Interests
My research interests are in number theory and arithmetic geometry, in particular I
am interested in the theory of p-adic modular forms.
Keywords: p-adic modular forms, eigenvarieties, PEL-type Shimura varieties.
Publications
and preprints
Research papers
• Eigenvarieties for non-cuspidal modular forms over certain PEL Shimura varieties. Joint work with Giovanni Rosso, in preparation.
• Eigenvarieties for some unitary Shimura varieties without ordinary locus. In
preparation.
• Eigenvarieties for cuspforms over PEL type Shimura varieties with dense ordinary
locus. arXiv:1407.7973.
• Quaternionic modular forms of any weight. Int. J. Number Theory 10 (2014),
no. 31, 31-53. doi:10.1142/S1793042113500796.
• p-adic modular forms of non-integral weight over Shimura curves. Compos.
Math. 149 (2012), no. 1, 32–62. doi:10.1112/S0010437X12000449.
• Hodge-Tate sheaves. Not to be published, available in my website.
Ph.D. thesis
• p-adic modular forms of non-integral weight over Shimura curves, 2012.
Seminars and
Talks
Columbia University, New York City
• Hida theory over some Shimura varieties without ordinary locus
2014
Seminar ‘Automorphic Forms and Arithmetic’
1 of 5
December
Institut de math´
ematiques de Jussieu - Paris Rive Gauche, Paris
• Th´eorie de Hida pour certaines vari´et´es de Shimura sans lieu ordinaire November 2014
S´eminaire de th´eorie des nombres de l’IMJ-PRG
Universit`
a degli Studi di Milano, Milan
• Hida theory over Shimura varieties without ordinary locus
October 2014
Conference ‘p-adic methods in number theory’
2 of 5
IISER, Pune, India
• Families of overconvergent modular forms over Shimura varieties without ordinary locus
June 2014
Conference ‘p-adic aspects of modular forms’
Universit´
e Paris 7, Paris
• Site de Faltings
April 2014
Working group ‘Isomorphisme de Eichler-Shimura surconvergent’
• Pr´esentation et ´enonc´e du r´esultat
March 2014
Working group ‘Isomorphisme de Eichler-Shimura surconvergent’
• Bornes sur le rang de groupes de Selmer
March 2014
Working group ‘Syst`emes d’Euler pour les convolutions de Rankin-Selberg’
´
Ecole
Normale Sup´
erieure, Paris
• Familles des formes modulaires p-adiques et vari´et´es de Hecke January 2014
S´eminaire MathJeunes
Centre International de Rencontres Math´
ematiques, Marseille
• Anneaux Bcris et Bst
January 2014
Working group ‘Th´eor`emes de comparaison et repr´esentations galoisiennes’
´
Ecole
Normale Sup´
erieure de Lyon, Lyon
• Rapoport-Zink spaces at infinite level,
November 2013
Working group ‘Moduli of p-divisile groups’
Institut de Math´
ematiques de Jussieu, Paris
• The Hodge-Tate period map,
October 2013
Working group ‘Perfectoid Shimura varieties’
• Autour d’une construction g´eom´etrique des vari´et´es de Hecke, October 2013
S´eminaire Groupes R´eductifs et Formes Automorphes
• Perfectoid spaces,
September 2013
Working group ‘Perfectoid Shimura varieties’
Universit`
a degli Studi di Milano, Milan
• About a geometric construction of eigenvarieties
for Shimura variety of PEL type,
June 2013
Summer Number Theory in Milan
Universit´
e de Caen Basse-Normandie, Caen
• Vari´et´es de Hecke pour formes modulaires de type PEL,
January 2013
S´eminaire de Th´eorie des Nombres de Caen
Universit´
e de Paris XIII, Paris
• Hecke varieties for Shimura varieties with ordinary locus,
January 2013
Conf´erence Vari´et´es de Shimura et Formes modulaires p-adiques
• D´emonstration de la conjecture de Fontaine-Mazur et
des conjectures de Kisin,
December 2012
Working group ‘Compatibilit´e locale-globale de la correspondance de Langlands
p-adique et applications, d’apr`es Emerton’
University of Z¨
urich, Z¨
urich
• Strict O-modules and p-adic modular forms,
December 2012
Oberseminar
Institut de Math´
ematiques de Bordeaux, Bordeaux
• Strict O-modules and p-adic modular forms,
November 2012
S´eminaire de Th´eorie des Nombres
Max Planck Institute for Mathematics, Bonn
• p-adic modular forms of non-integral weight over Shimura curves, May 2012
Oberseminar
Centro di Ricerca Matematica Ennio De Giorgi, Pisa
• Forme modulari p-adiche di peso non intero,
May 2012
Workshop in Algebraic Geometry and related topics
King’s College, London
• p-adic modular forms of non-integral weight over Shimura curves, May 2012
London Number Theory Seminar
Centre International de Rencontres Math´
ematiques, Marseille
3 of 5
• Formal groups,
April
Working group ‘Groupes formels et p-divisibles’
• Classification of finite locally free group schemes over a perfect
valuation ring,
April
Working group ‘Groupes formels et p-divisibles’
Universit´
e de Cergy-Pontoise, Cergy-Pontoise
• p-adic modular forms,
November
Ph.D. Students seminar
Universit`
a degli Studi di Milano, Milan
• Perfectoid fields and algebras,
December
Seminar about Peter Scholze’s theory of perfectoid spaces
• p-adic modular forms of non-integral weight,
December
Christmas Seminar
• First steps towards generalized comparison and control theorems, March
Seminars in Arithmetic Geometry, Motives and Number Theory
• Comparison theorem and control theorem for GL2 ,
January
Seminars in Arithmetic Geometry, Motives and Number Theory
• p-adic modular forms of non-integral weight over Shimura curves, June
Seminars in Arithmetic Geometry, Motives and Number Theory
Scientific
activities
2012
2012
2011
2011
2011
2011
2011
2010
• Organizer of the seminar ‘Groupes R´eductifs et Formes Automorphes’, Institute
de Math´ematiques de Jussieu, Paris,
September 2014 - present
• organizer of the conference ‘Solstice 2014’, Universit´e Paris 7, Paris, June 2014
• referee for the Canadian Journal of Mathematics and Algebra & Number Theory,
• reviewer for MathSciNet,
• organizer of the workshop ‘Almost Xmas seminar’, Universit`a degli Studi di
Milano, Milan,
December 2011
Academic
Achievements
Universit`
a degli studi di Milano, Milan
• Scholarship for Ph.D. Students
2008 - 2011
• 1st choice by Department of Mathematics for partial tuition waiver based
on grades and credits
2003 - 2005
Education
Universit`
a degli Studi di Milano, Milan
Ph.D. Student in Mathematics
January 2009 - March 2012
• Thesis title: p-adic modular forms of non-integral weight over Shimura curves
• Supervisor: Prof. Fabrizio Andreatta
Universit`
a degli Studi di Milano, Milan
M.Sc. in Mathematics
•
•
•
•
September 2006 - July 2008
Graduation Date: 21 July 2008
Final grade: 110/110 cum Laude
Thesis title: Galois cohomology via almost-´etale extensions
Supervisor: Prof. Fabrizio Andreatta
B.Sc. in Mathematics
•
•
•
•
September 2003 - July 2006
Graduation Date: 19 July 2006
Final grade: 110/110 cum Laude
Thesis title: Spazi di Banach e propriet`a di Radon-Nikodym
Supervisors: Prof. Clemente Zanco
4 of 5
Algebraic Geometry Course
August 2007
Summer school of mathematics SMI (Scuola Matematica Interuniversitaria),
Professor Enrique Arrondo, final grade A
Algebra Course
August 2007
Summer school of mathematics SMI (Scuola Matematica Interuniversitaria),
Professor Nikolai Vavilov, final grade A+
Teaching
Experience
Universit´
e Paris 7, Paris
• Teaching as Maˆıtre de conf´erences,
September 2013 - present
Universit`
a degli Studi di Milano, Milan
• Teaching assistant, Calculus III course,
November 2008 - February 2009
Department of Physics
• Teaching assistant, Algebra II course,
March 2011 - July 2011
Department of Mathematics
Languages
Italian
• Native
English
• Advanced
French
• Advanced
Informatic
skills
Extracurricular
Activities
• Very good knowledge of GNU/Linux
• Very good knowledge of LATEX
• Good knowledge of C and Java programming languages
Volunteer ambulance service
• Croce Rossa Italiana
• SOS Milano
5 of 5
2005 - 2009
2009 - Present