Concettina GALATI
Professori Associati
Geometria (MATH-02/B)
Contacts
- Dipartimento di Matematica e Informatica
- Dipartimento di Matematica e Informatica
- GALATI@MAT.UNICAL.IT
- concettina.galati@unical.it
- 0984/496496
Reception Hours
Every Thursday at 3.00 pm at my office located at the last floor of Cube 31B. Please email me before.
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CURRICULUM VITAE AND SCIENTIFIC INFORMATIONS - Concettina Galati
NAME: Concettina Galati
COUNTRY OF CITIZENSHIP: Italy
CONTACT NUMBERS: office number 0039 0984 496496, fax
number 0039 0984 496410
E-MAIL: concettina.galati@unical.it
PEC: concettina.galati@pec.it
CURRENT POSITION: I am Associate Professor of Geometry (dss MAT/03) at The Department of
Mathematics and Computer Science of the University of Calabria - Italy.
RESEARCH INTERESTS: Algebraic Geometry, in particular I am interested in the theory of
deformations of curves and surfaces and Brill-Noether theory. The main results of my research
concern the study of families of curves on surfaces and deformations of curves singularities. My most recent works concern in particular families of curves on K3 surfaces and Enriques surfaces, spaces of modules of Enriques surfaces and related problems, such as "extension problems" and the study of particular sub-varieties of the moduli space of curves of genus g. Currently my research interests are also directed to the study of deformations of singular surfaces (and therefore to problems of compactification of moduli spaces of surfaces, problems of existence of singular surfaces and enumerative problems) and families of curves in varieties of dimension three.
EDUCATION
- DECEMBER 19th, 2000: DEGREE IN MATHEMATICS (LAUREA IN MATEMATICA, vecchio
ordinamento), awarded by the University of Calabria with full marks.
- JUNE 30th, 2005: PhD IN MATHEMATICS, awarded by the University of Tor Vergata, Rome,
Italy. TITLE of PhD Thesis: “Number of moduli of families of plane curves with nodes and cusps”.
- NATIONAL SCIENTIFIC QUALIFICATION as Associate Professor, obtained on March 30th,
2018.
POSITIONS
- FEBRUARY, 2001 - JUNE, 2005: PhD fellowship in Mathematics awarded by the Department of
Mathematics of the University of Tor Vergata, Roma, Italy, under the supervision of Ciro Ciliberto.
- MARCH, 2005 - MAY, 2005: Pre-doc Marie Curie fellowship awarded by the Pure Mathematics
Division, Department of Mathematics, The University of Liverpool, Liverpool (UK), under the
supervision of Prof. Peter Newstead.
- DECEMBER, 2005 - MARCH, 2009: Post-doc position at the Department of Mathematics of the
University of Calabria - Italy.
- MARCH, 2008 - AUGUST, 2008: Visiting Scholar at The Mathematics Department of Harvard
University, Cambridge MA, USA.
- APRIL, 2009 - February 2022: Assistant professor at The Department of Mathematics and Computer
Science of the University of Calabria - Italy.
- DECEMBER 2009- FEBRUARY 2010: Visitor as Post-Doc at The Mathematics Department of
Harvard University, Cambridge MA, USA.
- DECEMBER 2020: I won a position of Associate Professor at the “Dipartimento di Ingegneria
dell’Università di Palermo” but I had to reject this work for personal reasons.
- MARCH 2022: Associate professor at the Department of MAthematics and Computer Science of
the University of Calabria
SELECTED SHORT EXPERIENCES AS VISITING RESEARCHER
- NOVEMBER 21st - DECEMBER 3rd, 2010: Visiting researcher at the Mathematics Department,
University of Bergen, Norway at A. L. Knutsen's invitation. (Visit supported by the host
institution).
- OCTOBER 9th-15th, 2011: Visiting researcher at the "Inst. Math. de Toulouse, Université Paul
Sabatier" at Thomas Dedieu's invitation. (Visit supported by GRIFGA).
- JANUARY 27th - FEBRUARY 2nd, 2013: Visiting professor, within the Erasmus Program, at the
Mathematics Department, University of Bergen, Norway.
- OCTOBER 23rd -29th, 2016: Visiting researcher at the Mathematics Department of the University
of Bergen at A. L. Knutsen's invitation. (Visit supported by the host institution).
- DECEMBER 8th-13th, 2019: Visit at the "Inst. Math. de Toulouse, Université Paul Sabatier” -
France for collaboration in research with T. Dedieu ( visit supported by “LIA LYSM”).
- SINCE MARCH 2011 UNTIL TODAY: Visiting researcher for several brief periods during each
year at the Dipartimento di Matematica di Tor Vergata at Ciro Ciliberto's invitation for
collaboration in research. These period have been occasion for collaboration with Flaminio
Flamini, Andreas Leopold Knutsen and Thomas Dedieu. Recentely I visited the departement during the period 14th-23th, 2022.
FURTHER ACTIVITIES
- I am Delegate for the Internationalization of the Bachelor and Master Programs in Mathematics of
Unical
- SINCE 2005: I am member of GNSAGA of INDAM.
- I have been a reviewer of the A.M.S.
- I am member of UMI and EMS.
- SINCE 2014: I am reviewer of several Elsevier and Springer Journals. In particular I was a
referee for the Journal de Mathématiques Pures et Appliquées, Elsevier
- I am member of the "Collegio di Dottorato di Matematica e Informatica", at UNICAL.
PARTICIPATION IN NATIONAL RESEARCH PROJECTS
- PRIN 2008 "Geometria delle Varietà Algebriche e loro spazi di moduli", MIUR, national
coordinator: A. Verra.
- PRIN 2010-2011 “Geometria delle Varietà Algebriche”, MIUR, national coordinator: A. Verra.
- I participated to the CNRS-Indam research program GRIFGA (2008-15), obtaining several
grants for research abroad
- I participated to the CNRS-Indam research program Lia-Lysm (2019 - today), obtaining several grants for research abroad
RESPONSIBILITY and PARTICIPATION IN LOCAL RESEARCH PROJECTS:
- Since 2014: Head of the Research Project "ALGEBRAIC CURVES AND THEIR SPACES OF
MODULES", funded by the Department of Mathematics and Computer Science of the University
of Calabria on "Basic Research Funds”.
- Over the years I have also participated, as an external collaborator, in several research projects
of algebraic geometry of the Department of Mathematics of the University of Tor Vergata,
obtaining several funding for research at the University of Tor Vergata and for participation in
conferences. In particular, I participated in the research project "MISSION: SUSTAINABILITY"
entitled "Families of curves: their modules and their relative varieties" and with principal
investigator Prof. Flaminio Flamini (http://sostenibile.uniroma2.it/ research / mission -
sustainability /), April 2018 - August 2019.
INDIVIDUAL RESEARCH GRANT
- 2018: FFABR financed by MIUR.
PUBLICATIONS:
1. A. Arsie, C.Galati: “Geometric k-normality of curves and applications”, “Le Matematiche”,
Vol. LVIII (2003), Fasc. II, p. 179-199.
2. C.Galati: “Numero di moduli di famiglie di curve piane con nodi e cuspidi”, Boll. Unione Mat.
Ital. (serie A) 9, n. 2 (2006), 243-246.
3. C. Galati: “Number of moduli of irreducible families of plane curves with nodes and cusps”,
Collect. Math. 57, n. 3 (2006), 319-346.
4. C. Galati: “On the number of moduli of families of plane sextics with six cusps”, Ann. Mat.
Pura Appl. 188, n. 2 (2009), DOI:10.1007/s10231-008-0081-6.
5. C. Galati: “Degenerating curves and surfaces: first results”, Rend. Circ. Mat. Palermo 58, n.
2 (2009), 211-243, DOI: 10.1007/s12215-009-0017-z.
6. C. Galati: “On the existence of curves with a triple point on a K3 surface”, Rend. Lincei
Math. Appl. 23, n. 3 (2012), 295-317, DOI: 10.4171/RLM/629.
7. C. Galati, A. L. Knutsen: “Seshadri constants of K3 surfaces of degree 6 and 8”, Int. Math.
Res. Not. 2013, n. 17, 4072-4084, doi: 10.1093/imrn/rns174.
8. C. Galati, A. L. Knutsen: “On the existence of curves with A_k- singularities on K3
surfaces”, Math. Res. Lett. 21 (2014), n. 5, 1069-1109, doi:10.4310/MRL.2014.v21.n5.a8.
9. C. Ciliberto, F. Flamini, C. Galati, A. L. Knutsen: “A note on deformations of regular
embeddings”, Rend. Circ. Mat. Palermo, II Ser (2017) 66, 53-63, doi: 10.1007/
s12215-016-0276-4, with erratum in Rend. Circ. Mat. Palermo, 66 (2017), 65-67.
10. C. Ciliberto, F. Flamini, C. Galati, A. L. Knutsen: "Moduli of nodal curves on K3 surfaces”,
Adv. Math., 309 (2017), 624-654, doi:10.1016/j.aim.2017.01.021.
11. C. Ciliberto, F. Flamini, C. Galati, A. L. Knutsen: “Degeneration of differentials and moduli
of nodal curves on K3 surfaces”, in “Local and global methods in algebraic geometry”,
CONT. MATH. 712 (2018), AMS, 59-79 (eds. N. Budur, T. de Fernex, R. Docampo, K.
Tucker), doi:10.1090/conm/712/14342.
12. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “A note on Severi varieties of nodal curves
on Enriques surfaces”, in “Birational Geometry and Moduli Spaces.” SPRINGER INDAM
SERIES, vol. 39 (2020), p. 29-36, ISBN: 978-3-030-37114-2, ISSN: 2281-518X, doi:
10.1007/978-3-030-37114-2_3.
13. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “Moduli of curves on Enriques surfaces”,
Adv. Math., 365 (2020), doi: 10.1016/j.aim.2020.107010.
14. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “On the locus of Prym curves where the
Prym--canonical map is not an embedding”, Ark. Mat., 58 (2020), 71–85, doi:10.4310/
ARKIV.2020.v58.n1.a5.
15. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “Severi varieties on blow--ups of the
symmetric square of an elliptic curve”, to appear on Mathematische Nachrichten, DOI: 10.1002/mana.202100587
PREPRINTS
1. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “Irreducible unirational and uniruled
components of moduli spaces of polarized Enriques surfaces”, arXiv:1809.10569
2. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “Nonemptiness of Severi varieties on
Enriques surfaces”, arXiv: 2109.10735
PUBLICATIONS without referee
1. C. Galati, A. L. Knutsen, A. Sarti.:"Singular Curves on K3 Surfaces and Hyperkahler Manifolds",
Oberwolfach Reports, EMS Publishing House, 12 (2015), 4, 2939–2967.
2. C. Ciliberto, Th. Dedieu, F. Flamini, R. Pardini, C. Galati, S. Rollenske: “Open problems.” Boll.
Unione Mat. Ital. 11 (2018), n.1, p. 5-11.
PARTICIPATION IN EDITORIAL COMMITTEES
- “The art of doing Algebraic Geometry”, PROMS-Springer volume in preparation. Editorial Committee: Thomas Dedieu, Claudio Fontanari, Concettina Galati (Corresponding Editor), Rita Pardini. The volume will collect a series of contributions on algebraic geometry and the history of geometry. The volume is dedicated to Ciro Ciliberto for his 70th birthday.
WORK IN PROGRESS
- “Deformations of singular surfaces in P ^ 3”, in collaboration with C. Ciliberto.
- I am also writing two contributions for the volume in preparation "Geometry of logarithmic Severi varieties at a general point" (http://www.math.univ-toulouse.fr/~tdedieu/), Publisher T. Dedieu, dedicated to the cycle of seminars "Degeneration and enumeration of curves on a surface" held at the Department of Mathematics of Tor Vergata in the academic year 2015/16.
- "A note on curves with ordinary multiple points on smooth surfaces", by C. Galati.
SELECTED TALKS AS INVITED SPEAKER AND PARTICIPATION IN POSTER SESSIONS
- APRIL 7th, 2005: "Number of moduli of families of plane curves with nodes and cusps", Cow
Algebraic Geometry Seminar, Department of Mathematics, The University of Liverpool, Liverpool
(UK).
- MAY, 2006: ”Numero di moduli di famiglie di curve piane con nodi e cuspidi”, during the
conference "Giornate di Geometria Algebrica”, SISSA, Trieste.
- APRIL 15th, 2008: ”Degenerating curves and surfaces: first results”, Algebraic Geometry
Seminar, Mathematics Department, Harvard University.
- DECEMBER 3rd, 2010: "Families of plane curves with cusps and limit linear system", Algebraic
Geometry Seminar of the University of Bergen, Bergen, Norway.
- AUGUST, 2011: "Families of singular curves on K3 surfaces", poster session of the conference
"A celebration of Algebraic geometry", Harvard University.
- SEPTEMBER 2011: "Families of singular curves on K3 surfaces", XIXth UMI Congresso.
- OCTOBER, 2011: "Families of singular curves on K3 surfaces", seminar as invited speaker at the
Inst. Math. Univ. Paul Sabatier Toulouse.
- DECEMBER, 2012: "Sull'irriducibilità di una particolare varietà di Severi su una generica
superficie quartica”, seminario di Geometria Algebrica, Mathematics Dep., University of Tor
Vergata.
- MARCH 15th, 2013: "Curve con singolarità A_k e punti tripli su superfici K3”, University of
Messina.
- MARCH 15th, 2013: "Costanti di Seshadri e deformazioni di singolarità", Università
Mediterranea, Reggio Calabria.
- SEPTEMBER 7th, 2015: "Numero di moduli di curve nodali su superfici K3", XXth UMI Congress,
Siena.
- JANUARY 1st, 2016: "Degenerazioni di curve nodali in una degenerazione normal crossings di
superficie e applicazioni”, Mathematics Department, University of Tor Vergata, Cycle of seminars
"Degenerazioni e enumerazione di curve su una superficie".
- OCTOBER 23rd, 2016 "Degeneration of differentials and moduli of nodal curves on K3 surfaces",
Algebra and Geometry seminar, Department of Mathematics, Bergen University.
- JUNE 15th, 2018: “Families of singular curves on Enriques surfaces”, durante il Workshop
Indam “Birational Geometry and Moduli Spaces”, Sede Indam, Roma (https://sites.google.com/
site/bgmsindam/home
ORGANIZATION OF SELECTED CONFERENCES AND MINIWORKSHOPS
- Workshop "New Trends in Algebraic Geometry", University of Calabria, June 12th-14th, 2013.
- Workshop "Severi Varieties and Hyperkähler Manifolds", Novembre 4th-8th, 2013, University of
Tor Vergata, Rome.
- "Singular Curves on K3 Surfaces and Hyperkahler Manifolds", Oberwolfach MINIWORKSHOP,
November 2015.
- “Una giornata di Didattica della Matematica per Margherita - in memoria di Margherita D’Aprile”,
conference of didactic of geometry, Università della Calabria, May 16th, 2017.
- “Riposte Armonie”: Algebraic Geometry in Cetraro 2021 - together with Ciro
Ciliberto” (https://sites.google.com/site/agventotene2020/home) , Cetraro- Italia, September
21st-24th 2021. (This conference was planned in Ventotene on September 2020 and it has been
re-scheduled and re-organized because of Covid19 pandemic)
-“Giornate di Geometria Algebrica e argomenti correlati”, scheduled for January 2023 at Cetraro-Italy. Organizing Commettee: Concettina Galati, Angelo Lopez e Francesco Polizzi.
CURRENT TEACHING ACTIVITIES within Bachelor and Master and PhD programs
I taught many courses of Geometry for several Master and Bachelor Programs. In particular I
taught for many years for the Chemistry and Engineering Bachelor programs of UNICAL. This year I teach:
- GEOMETRIA SUPERIORE for the “Corso di Laurea Magistrale in Matematica” at UNICAL.
- GEOMETRIA I for the “Corso di Laurea in Ingegneria Meccanica” at UNICAL.
SELECTED TEACHING ACTIVITIES for PhD programs in Italy and abroad:
- “An introduction to Brill Neother series”, PhD program in Mathematics, a.a. 2005/06, UNICAL
- "Short course on RIEMANN SURFACES AND ALGEBRAIC CURVES: THE ABEL–JACOBI
THEOREM"- in the ERASMUS Program "Lifelong Learning/Erasmus - Erasmus STA "Teaching
Staff Mobility" - Teaching Assignments", Mathematics Department of the University of Bergen,
January 27th-February 2nd, 2013.
- “Reading course on rationality problems", PhD program in Mathematics, a.a. 2017/18 UNICAL.
SUPERVISION OF PhD THESES:
1. "Surfaces with Prym-canonical hyperplane sections” by Martina Anelli, XXXIII cycle of the
“Dottorato in Matematica e Informatica of University of Calabria (Unical), defended on May
27th 2021, with supervisors: Ciro Ciliberto (University of Tor Vergata, Rome) and
Concettina Galati (Unical), and with the co-supervision in the last year of Andreas L.
Knutsen (Univ. of Bergen).
2. "On Enriques-Fano Threefolds” by Vincenzo Martello XXXIII cycle of the “Dottorato in
Matematica e Informatica of University of Calabria (Unical), defended on May 27th 2021,
with supervisors: Ciro Ciliberto (University of Tor Vergata, Rome) and Concettina Galati
(Unical), and with the co-supervision in the last year of Andreas L. Knutsen (Univ. of
Bergen).
SUPERVISION OF MASTER AND BACHELOR THESES:
1. Vincenzo Martello: "Sulle isometrie nel piano e nello spazio, partendo da un’esperienza a
scuola", Bachelor Thesis a.a. 2014-15;
2. Vincenzo Martello: "Un'introduzione ai problemi di razionalità in geometria algebrica", Master
Thesis a.a.2016-17;
3. Martina Anelli: "Il teorema di Riemann- Roch e le sue applicazioni", Master Thesis a.a.2016-17;
4. Sara Chirico: "Un'Introduzione al Teorema di Abel-Jacobi", Master Thesis a.a.2016-17;
5. Maria Anastasia Papaleo: "Un'introduzione alle Grassmanniane", Master Thesis a.a.2016-17;
6. Federica Sapia: “Elementi di Topologia e Teoria dei Nodi”, Bachelor Thesis, a.a. 2019/20.
Rende (CS) - Italy, March 8th, 2022
Concettina Galati
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Contacts
- Dipartimento di Matematica e Informatica
- Dipartimento di Matematica e Informatica
- GALATI@MAT.UNICAL.IT
- concettina.galati@unical.it
- 0984/496496
Reception Hours
Every Thursday at 3.00 pm at my office located at the last floor of Cube 31B. Please email me before.