CV of Laura Geatti



Associate Professor in Geometry (retired since Dec. 22, 2022).
Scientifc interests: Complex manifolds with group action, Lie theory.

Recent preprints

  • 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. Preprint 2024


  • Recent talks

  • Complex Analysis Seminar, Ruhr Universitat Bohum, UMI-DMV joint Congress, Perugia, 2007;
  • Differential Geometry Seminar, Universitade de Sao Paulo, Brazil, 2007;
  • Complex Analysis, Representation Theory and Integral Geometry Semester, Max Plank Institut, Bonn, 2007.
  • Complex Analysis Seminar, Universite' d'Angers, Angers, 2008
  • Complex Geometry Seminar, University of Parma, Parma, 2009
  • Complex Analysis Seminar, Ruhr Universitat Bohum, Bochum, 2009.
  • Geometry seminar, University of Firenze, Firenze, 2011;
  • Geometry seminar, University of Milano, Milano 2011;
  • Geometry seminar, National Tsinghua University, Taiwan, 2011.
  • Workshop "Symplectic Geometry with applications to Representation Theory", Bremen, 2012.
  • Okami Workshop, Osaka, Japan, 2013;
  • Geometry Seminar, Tokyo University of Science, 2013;
  • Differential Geometry Seminar, Universitade de Sao Paulo, Brazil, 2013;
  • Hayama Symposium on Complex Analysis in several variables XVI, Hayama, Japan, 2013.
  • Workshop "Varieta' reali e complesse: geometria, topologia e analisi armonica", Pisa 2015;
  • Analysis Seminar, University of California San Diego, 2015;
  • Analysis Seminar, University of Vienna, 2015;
  • Workshop "Complex Geometry and Hamiltonian actions", Parma, 2016.
  • ICMMEDC 2017, 10th Intern. Conference in Math. and Math. Education, Mandalay, Myanmar 2017.
  • ICMMEDC 2018, 11th Intern. Conference in Math. and Math. Education, Vientiane, Laos 2018.
  • SICME 2019, Second International Conference of Mathematics in Erbil, Erbil, Irak 2019.
  • ICMMEDC 2019, 11th Intern. Conference in Math. and Math. Education, Vientiane, Laos 2019.
  • Integral Geometry, Representation Theory and Complex Analysis, Tokyo, January 27-28, 2020.
  • Real and complex manifolds, the mathematical heritage of Edoardo Vesentini, SNS Pisa, June 29-July 2, 2021.
  • Quimperiodic (in honor of J.J. Loeb), Quimper (France), May 19-20, 2022.
  • Workshop on Complex Analysis and Geometry, Essen (Germany), June 2022.
  • Third International Conference Of Mathematics and Applications, Salahaddin University, Erbil (Iraq), August 29-31, 2022.
  • WebSeminar "Geometry with Symmetries", September 13, 2023.
  • Workshop in memory of D. Akhiezer, Bochum November 2-3, 2023.

    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.