PACIENZA Gianluca

My research articles can be found here:

https://arxiv.org/search/?searchtype=author&query=Pacienza%2C+G

1. On the cone conjecture for families of IHS manifolds with A. Horing and Z. Xie, arxiv 2024.
2. Regenerations and applications, with G. Mongardi, arXiv 2023. To appear in Forum of Mathematics, Sigma.
3. On the cone conjecture for Enriques manifolds, with A. Sarti, arXiv 2023.
4. Footnotes to the birational geometry of primitive symplectic varieties, with Ch. Lehn and G. Mongardi, arXiv 2022. To appear in “Perspectives on four decades. Algebraic Geometry 1980 – 2020. In memory of Alberto Collino”. Progress in Mathematics. Birkhäuser.
5. The Morrison–Kawamata cone conjecture for singular symplectic varieties, with Ch. Lehn and G. Mongardi, Selecta Math. New Ser. 30, 79 (2024).
6. Deformations of rational curves on primitive symplectic varieties and applications, with Ch. Lehn and G. Mongardi, Algebr. Geom. 10 (2023) n. 2, 199–227.
7. On the Boucksom-Zariski decomposition for irreducible symplectic varieties and bounded negativity, with M. Kapustka, G. Mongardi and Piotr Pokora, preprint arXiv 2019.
8. Density of Noether-Lefschetz loci of polarized irreducible holomorphic symplectic varieties and applications, avec G. Mongardi, Kyoto J. of Math. 63 (2023), pp 749–781.
9.  Families of rational curves on holomorphic symplectic varieties, avec F. Charles et G. Mongardi, Compositio Math. 2024 ; 160 (2), 288-316.
10. Voisin’s Conjecture for Zero-cycles on Calabi-Yau Varieties and their Mirrors , with G. Bini and R. Laterveer, Adv. Geom. Volume 20 issue 1 (2020), pp. 91-108.
11. Polarized parallel transport and uniruled divisors on deformations of generalized Kummer varieties, with G. Mongardi, Int. Math. Res. Not. Vol. 2017, pp. 1–15 doi: 10.1093/imrn/rnw346.
12. Stability of coisotropic brations on holomorphic symplectic manifolds, with Ch. Lehn, Ann. Sc. Norm. Super. Pisa Cl. Sci. Vol. XIX, (2019) issue 3, 965–980.
13. Deformations of singular symplectic varieties and termination of the log minimal model program, with Ch. Lehn, Algebr. Geom. 3 (2016), no. 4, 392–406.
14. Remarks about bubbles, with M. McQuillan, arXiv.
15. Restricted volumes of eective divisors, with L. Di Biagio, Bull. Soc. Math. France 144 (2016), no. 2, 299–337.
16. Higher dimensional tautological inequalities and applications, with C. Gasbarri and E. Rousseau. Math. Annalen 356 (2013), no. 2, 703–735.
17. Uniruledness of base loci of adjoint systems via the MMP, with S. Boucksom and A. Broustet. Math. Z. 275 (2013), no. 1-2, 499–507.
18. Rational connectedness modulo the non-nef locus, with A. Broustet.
    Comment. Math. Helv. 86 (2011), no. 3, 593–607.
19. On volumes along subvarieties of line bundles with non-negative Kodaira-Iitaka dimension, with S. Takayama, Michigan Math. J. 60 (2011), no. 1, 35–49.
20. Generalized Demailly-Semple jet bundles and holomorphic mappings into algebraic varieties, with E. Rousseau, J. Math. Pures Appl. (9) 96 (2011), no. 2, 109–134.
21. On the uniformity of the Iitaka bration Math. Research Letters 16 (2009), no. 4, 663–681.
22. On families of rational curves on the Hilbert square of a surface, with F. Flamini and A.L. Knutsen, Michigan Math. J. 58 (2009), no. 3, 639–682.
23. Moduli of nodal curves on a general K3 surface, with F.Flamini, A.L.Knutsen and E.Sernesi. Communications in Algebra, 36, no. 11, (2008), 3955–3971.
24. The Green conjecture for exceptional curves on a K3 surface, with M. Aprodu. Int. Math. Res. Not. 2008, Article ID rnn043, 25 p. (2008).
25. On the logarithmique Kobayashi conjecture, with E. Rousseau.
    J. reine angew. Math. 611 (2007), 221–235.
26. Singular curves on a K3 surface and linear series on their normalizations, with A.L. Knutsen and F. Flamini. Internat. J. Math. 18 (2007), no. 6, 1–23.
27. Non-deformability of entire curves in projective hypersurfaces of high degree, with O. Debarre and M. Paun. Ann. de l’Inst. Fourier. 56 (2006), no. 1, 247–253.
28. Subvarieties of general type on a general projective hypersurface. Trans. Amer. Math. Soc. 356 (2004), no. 7, 2649–2661.
29. On the nef cone of symmetric products of a generic curve. Amer. J. Math. 125 (2003), 1117–1135.
30. Rational curves on general projective hypersurfaces. J. Alg. Geom. 12 (2003), 245–267.
31. On a degeneration of the symmetric product of a curve with general moduli, with F. Polizzi. Le Matematiche (Catania) 56, no. 2, 297–307 (2003).

2023-2024 :

S1

Géométrie et Topologie (Master 1).

S2

Algèbre Linéaire

Analyse S4

TIPE

Responsable de l’équipe Géométrie.

Responsable, avec Jérémy Faupin (IECL, site de Metz) et Fida El Chami (Université Libanaise), du Double Diplôme en Mathématiques Fondamentales et Appliquées entre l’Université Libanaise et l’Université de Lorraine.

2016- : Professor at the IECL Nancy, Université de Lorraine.

2009: Habilitation à diriger des recherches.

2003–2016: Maître de Conférence at the IRMA, Université de Strasbourg.

2003: Post-Doc, Università degli studi “La Sapienza” di Roma, supervisor K.G. O’Grady.

2002: Post-Doc, Ohio State University, supervisor H. Clemens.

2001: Ph.D. Université Pierre et Marie Curie, advisor Claire Voisin.

Former Ph.D. students:

Enrica Floris (2013)

Giosuè Muratore (2018)

Valeria Bertini (2019)

Francesco Denisi (2023)

Current Ph.D. student:

Raphaël Hiault (started 2023)

Aurélien Faucher (started 2023)

Conférence en l’honneur de Claire Voisin Paris, May 16-20, 2022.

Geometric and arithmetic frontiers of orbifolds Montreal, May 30-June 3, 2022.

Master Class M1 Géométrie/Probabilités Nancy June 13-17, 2022.

HyperKähler manifolds and related geometries Cetraro August 29–September 2, 2022.

HyperKähler varieties and related topics Roma, September 12–16, 2022.

Hyperkähler quotients, singularities and quivers Simons Center, January 30 – February 3, 2023.

Master Class M2, IECL Nancy, May 22-24, 2023.

School and workshop on moduli, K-trivial varieties, IBS Science Culture Center Daejeon, South Korea, February 21-29, 2024.

EpiGA Conference 2024, IHP, Paris, June 10-14, 2024.

New perspectives on hyperkähler manifolds and moduli of vector bundles

a conference in honour of Kieran G. O’Grady Cetraro September 2–September 6, 2024.

Master Class M1 Géométrie/Probabilités Nancy June 13-17, 2022.

HyperKähler manifolds and related geometries Cetraro August 29–September 2, 2022.

HyperKähler varieties and related topics Roma, September 12–16, 2022.

Hyperkähler quotients, singularities and quivers Simons Center, January 30 – February 3, 2023.

Master Class M2, IECL Nancy, May 22-24, 2023.

School and workshop on moduli, K-trivial varieties, IBS Science Culture Center Daejeon, South Korea, February 21-29, 2024.

EpiGA Conference 2024, IHP, Paris, June 10-14, 2024.

I am the coordinator for France of the ANR-DFG project “Positivity on K-trivial varieties”. For more informations, job offers, events, see here.