Department of Mathematics - University of Rome "Tor Vergata"
 


Algebraic  Geometry and Number Theory


* Responsible of the web page: F. Flamini

* Main Research Interests of the Research Group

Algebraic Geometry:

·         BIRATIONAL GEOMETRY, CLASSIFICATION OF ALGEBRAIC VARIETIES AND OF THEIR DEGENERATIONS

·         CURVES, JACOBIANS AND ABELIAN VARIETIES

·         CURVES, THEIR FAMILIES AND THEIR MODULI

·         GEOMETRY OF THE EMBEDDINGS IN PROJECTIVE SPACES

·         ALGEBRAIC SURFACES AND THEIR MODULI

·         MODULI SPACES OF VECTOR BUNDLES ON CURVES

·         MODULI SPACES OF SHEAVES ON K3 SURFACES

·         HYPERKAEHLER GEOMETRY

·         CALABI-YAU GEOMETRY

·         HOLOMORPHIC DYNAMICS, RESIDUES, HYPERBOLICITY

Algebraic Number Theory:

·         ABELIAN VARIETIES OVER NUMBER FIELDS

·         ALGEBRAIC CURVES OVER FINITE FIELDS

·         ARITHMETIC PROPERTIES OF ALGEBRAIC VARIETIES

·         ARAKELOV CLASS GROUPS

·         GROUP SCHEMES


People of the Department


PhD students


Networks-Research funds

o    Research grants "Families of curves: their moduli and their related varieties", CUP: E81|18000100005, in the framework of the project Mission Sustainability 2017 (P.I. F. Flamini)

o    Node in the M.I.U.R. PRIN 2015 project GVA (Resp. F. Flamini)

o    Co-chair (F. Flamini, together with M. Mella Dep.- Univ. Ferrara) of the European research network GDRE-GRIFGA (INdAM & CNRS): 2012-2015

o    Chair of the local project "Quota meriti scientifici-ex 60%": (Resp. F. Flamini, since January 2010)

o    Node in the European network GTEM 2006-2010 (Resp. R. Schoof)


Conferences/Workshops organized by the node of Tor Vergata

o    Workshop on the Birational geometry of surfaces, 11–15 January 2016, Rome Tor Vergata, Italy. Organizers: Ciliberto, Dedieu, Flamini, Pardini.

o    Workshop on Severi Varieties and Hyperkaehler Manifolds, 4-8 November 2013, Rome. Tor Vergata, Italy. Organizers: Flamini, Galati, Knutsen, Rapagnetta, Sarti.

o    Workshop Algebraic Geometry III to II, February 16-17, 2012, Rome, Tor Vergata. Organizers: Ciliberto, Flamini.

o    Workshop Algebraic Geometry: 2 days in Rome 2, February 2-3, 2012, Rome, Tor Vergata. Organizers: Ciliberto, Flamini.

o    Workshop Classical Algebraic Geometry, 9-11 February 2011, Rome, INdAM. Organizers: Ciliberto, Flamini.


Lecture Series/reading courses organized by the node of Tor Vergata

o    Lecture series "Linear systems of curves on surfaces and Nagata type problems" (J. Roe'), 13-15 June, 2017, Rome, Tor Vergata. Coordinator: Ciliberto.

o    Reading seminar "Degenerations and enumeration of curves on surfaces", starting day: Oct. 13, 2015, Rome, Tor Vergata. Coordinators : Ciliberto, Dedieu.

o    Lecture series "AFFINE ALGEBRAIC SURFACES & the ZARISKI CANCELLATION PROBLEM" (M. Zaidenberg), October-December, 2015, Rome, Tor Vergata. Coordinator: Flamini.

o    Lecture series "Curves and linear systems on K3 surfaces" (A.L. Knutsen), 12 January-16 February, 2015, Rome, Tor Vergata. Coordinator: Flamini.

o    Reading course "Chow, Decomposition of the diagonal and the Topology of families" (Notes of C. Voisin), starting day: 4 October 2013, Rome, Tor Vergata. Coordinator: Rapagnetta.

o    Lecture series "Curves of low degrees in Fano varieties" (O. Debarre), May 8-10, 2012, Rome, Tor Vergata. Coordinators: Ciliberto, Flamini.


Weekly seminars organized by the node of Tor Vergata

o    Algebraic Geometry Seminars

o    Number Theory Seminars


Publications and preprints
See links to people in the list below



 

People of the Department

Name (with Home page)

e-mail

Publications

Ciro Ciliberto (Full professor)

cilibert(at)mat.uniroma2.it

Papers

Vincenzo Di Gennaro (Associate professor)

digennar(at)mat.uniroma2.it

Papers

Flaminio Flamini (Associate professor)

flamini(at)mat.uniroma2.it

Papers

Giambattista Marini (Assistant Professor - Ricercatore)

marini(at)mat.uniroma2.it

Papers

Giuseppe Pareschi (Full professor)

pareschi(at)mat.uniroma2.it

Papers

Antonio Rapagnetta (Associate Professor)

rapagnet(at)mat.uniroma2.it

Papers

René Schoof (Full professor)

schoof(at)mat.uniroma2.it

Papers

Francesca Tovena (Associate Professor)

tovena(at)mat.uniroma2.it

Papers