OVERVIEW
ROLES AT IMM
2025
IMM International Faculty
Complex Analysis
Course
Algeria
Fall
ABOUT ME
Research Interests
Complex manifolds with group action, Lie theory.
CURRICULUM
from 2025 to 2025
IMM International Faculty, National Higher School of Mathematics (NHSM)
Algeria
from 2025 to 2026
IMM International Faculty, International Mathematics Master (IMM) Algeria
Algeria
from 2024 to 2024
Organizer, CIMPA School of Applied Number Theory
Vietnam
from 2011 to 2022
Associate Professor, University of Rome III, Tor Vergata
Italy
MORE INFORMATION
Research activity
- L. Geatti, Invariant domains in the complexification of a non-compact Riemannian symmetric space, Journal of Algebra 251 (2002), 619-685.
- R. Conti, C. D'Antoni, L. Geatti, Group automorphisms preserving equivalence classes of unitary representations, Forum Math. 16 (2004) 483-503.
- L. Geatti, Complex extensions of semisimple symmetric spaces, Man. Math. 120 (2006) 1-25.
- L. Geatti, A. Iannuzzi, On univalence of equivariant Riemann domains over the complexification of a non-compact, Riemannian symmetric space, Pacific J. Math., 238 (2008) 275-330
- L. Geatti, A. Iannuzzi, J.J. Loeb, Hyperbolic manifolds whose envelopes of holomorphy are not hyperbolic, arXiv:math.CV/0612182
- L. Geatti, C. Gorodski, Polar orthogonal representations of real reductive algebraic groups, Journal of Algebra 320 (2008) 3036-3061
- L. Geatti, A. Iannuzzi, J.J. Loeb, A characterization of bounded symmetric domains of type IV, Man. Math., 135 (2011) 183-202
- L. Geatti, A remark on the orbit structure of the complexification of a semisimple symmetric space, Diff. Geom. and Appl., 30 (2012) 195-205
- L. Geatti, M. Moskowitz, Some transitive linear actions of real simple Lie groups, J. of Lie Theory, 22 n.1 (2012) 155-161
- L. Geatti L., A. Iannuzzi, Orbit structure of a distinguished invariant domain in the complexification of a Hermitian symmetric space, Math. Zeit. Vol. 278, N. 3 (2014) 769-793
- L. Geatti L., A. Iannuzzi, Invariant envelopes of holomorphy in the complexification of a Hermitian symmetric space, Ann. Inst. Fourier, Vol.66 (2016) 143-174.
- Geatti L., Gorodski C., Polar symplectic representations of complex reductive groups, Algebras and Repres. Theory, Vol. 19, no.6 (2016) 751-764.
- L. Geatti, A. Iannuzzi, The adapted hyper-Kaehler structure on the crown domain, Annals of Global Anal. and Geom., Vol. 55 (2019), p. 17- 41
- L. Geatti, M. Moskowitz, On the Exponentiality of the Connected Isometry Group of a Damek-Ricci Space, J. of Lie Theory, Vol. 23, n.4 (2021), p. 975-990
- L. Geatti, A. Iannuzzi, Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces. Math. Zeit., Vol. 300 (2022), p. 57-80.
- L. Geatti, A. Iannuzzi, Geometry of Hermitian symmetric spaces under the action of a maximal unipotent group. Intern. J. Math. Vol. 35 (2024)
- L. Geatti, A. Iannuzzi, A remark on N-invariant geometry of bounded homogeneous domains. Nagoya Math. Journal (2024)
Schools
- CIMPA-ICTP research school "Lattices and applications in cryptography and coding theory", Ho Chi Minh City, Aug. 1-12, 2016.
- Nepal Algebra Project 2017, Module 4, Tribhuvan University, Kathmandu, July 2017.
- Nepal Algebra Project 2018, Module 2, Tribhuvan University, Kathmandu, may 2018.
- Nepal Algebra Project 2019, Module 4, Tribhuvan University, Kathmandu, July 2019.
- CIMPA research school "Elliptic curves: arithmetic and computation", Montevideo (Uruguay), Febr. 11-22, 2019.
- CIMPA research school "Transformation groups in arithmetic and geometry", Yogyakarta (Indonesia), Febr. 17-28, 2020.
- WAMS school "Lattices, Diophantine Approximation and Heights", Urgench (Uzbekistan), June 17-28, 2022.
- CIMPA research school "Introduction to Galois representations and modular forms and their computational aspects", Manila (Philippines), January 9-20, 2023.
- WAMS school "Number Theory and Applications", Ho Chi Minh City, June 12-22, 2023
- AESIM school "Algebra, Number theory and their applications to Cryptography", Erbil, Kurdistan Region, Iraq February 25 - March 7, 2024
- CIMPA research school "Applied Number Theory", Ho Chi Minh City, June 3-24, 2024
- CIMPA research school "Lattices, Heights and Diophantine Approximation", Urgench (Uzbekistan), June 24- July 5, 2024.