Department of Mathematics - University of Rome "Tor Vergata"
 


Algebraic  Geometry and Number Theory web-page


Networks-Research Funds

o    Node in the M.I.U.R. PRIN 2017 project (Resp. in the node A. Rapagnetta)

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

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

o    The Roman Number Theory Association RNTA (Resp. in the node R. Schoof)

o    Number theorists in Rome (Resp. in the node R. Schoof)

o    Co-chair (F. Flamini, together with M. Mella- 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. in the node R. Schoof)


Conferences/Workshops organized by the node of Tor Vergata

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

o    WorkshopSeveri 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/Courses organized by the node of Tor Vergata

·         Lecture series (on-line) "On rationality of complex algebraic varieties" (Lecturer: T. de Fernex), May-June, 2021, Rome, Tor Vergata. Coordinator: Flamini (in the framework of MIUR Excellence Project 2018-2022 Math@Tov)

 

·         Lecture series "Stabilità di Bridgeland" (Lecturer: B. Bolognese), April-June, 2019, Rome, Tor Vergata. Coordinator: Ciliberto (in the framework of MIUR Excellence Project 2018-2022 Math@Tov)

 

o    Lecture series "Curves on K3 surfaces" (Lecturer: E. Sernesi), January-February, 2019, Rome, Tor Vergata. Coordinator: Flamini (in the framework of Mission Sustainability Research ProjectFamilies of curves: their moduli and their related varieties” (CUP E81|18000100005 – PI Flaminio Flamini)

o    PhD Lecture series "Classification of algebraic surfaces and related topics" (Lecturer: C. Ciliberto), Rome, Tor Vergata, Starting: Friday November 30, 2018 (25 hours). Coordinator: Ciliberto.

o    Lecture series "Linear systems of curves on surfaces and Nagata type problems" (Lecturer: 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 and the Zariski cancellation problem" (Lecturer: M. Zaidenberg), October-December, 2015, Rome, Tor Vergata. Coordinator: Flamini.

o    Lecture series "Curves and linear systems on K3 surfaces" (Lecturer: 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" (Lecturer: O. Debarre), May 8-10, 2012, Rome, Tor Vergata. Coordinators: Ciliberto, Flamini.

o    PhD Lecture series "Algebraic curves, special divisors and Hilbert schemes of curves" (Lecturers: C. Ciliberto, F. Flamini), Rome, Tor Vergata, Starting: March 15, 2011 (40 hours) Coordinator: 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


Main Research Interests

·         BIRATIONAL GEOMETRY

·         CLASSIFICATION OF ALGEBRAIC VARIETIES AND OF THEIR DEGENERATIONS

·         CURVES, JACOBIANS AND ABELIAN VARIETIES

·         CURVES AND THEIR MODULI

·        BRILL-NOETHER THEORY OF LINE BUNDLES ON CURVES

·        MODULI SPACES OF VECTOR BUNDLES ON CURVES, BRILL-NOETHER LOCI

·         GEOMETRY OF THE EMBEDDINGS IN PROJECTIVE SPACES

·        HILBERT SCHEMES AND FANO SCHEMES

·        ALGEBRAIC SURFACES AND THEIR DEGENERATIONS

·         MODULI SPACES OF SHEAVES ON K3 SURFACES

·         HYPERKAEHLER GEOMETRY. VECTOR BUNDLES ON HYPERKAEHLER VARIETIES

·        TRASCENDENTAL AND TOPOLOGICAL METHODS IN ALGEBRAIC GEOMETRY

      ·        HOLOMORPHIC DYNAMICS, RESIDUES, HYPERBOLICITY

      ·        ELLIPTIC CURVE CRYPTOGRAPHY AND POST-QUANTUM CRIPTOGRAPHY

·         ABELIAN VARIETIES OVER NUMBER FIELDS

·         ALGEBRAIC CURVES OVER FINITE FIELDS

·        ARITHMETIC PROPERTIES OF ALGEBRAIC VARIETIES

 


People of the Department


PhD students



 

People of the Department

Name (with Home page)

e-mail

Publications

Ciro Ciliberto (Docens Turris Virgatae)

cilibert(at)mat.uniroma2.it

Papers

Giulio Codogni (Assistant Professor - RtdB)

codogni(at)mat.uniroma2.it

Papers

Vincenzo Di Gennaro (Associate Professor)

digennar(at)mat.uniroma2.it

Papers

Flaminio Flamini (Full Professor)

flamini(at)mat.uniroma2.it

Papers

Roberto Fringuelli (Postdoctoral Researcher)

flamini(at)mat.uniroma2.it

Papers

Giambattista Marini (Assistant Professor - Ricercatore)

marini(at)mat.uniroma2.it

Papers

Claudio Onorati (Postdoctoral Researcher)

flamini(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