Department of Mathematics and Computer Science
People
Faculty
- Gianluca Bande
- Beniamino Cappelletti Montano
- Andrea Loi
- Stefano Montaldo
- Roberto Mossa
- Irene Onnis
- Paola Piu
- Giovanni Placini
- Andrea Ratto
- Fabio Zuddas
PhD students and Post-Docs
- Lejzer Javier Castro Tapia
- Marco Casula
- Antonio Contrò
- Matteo Palmieri
- Antonio Sanna
Research Interests
- Harmonic and Biharmonic Maps and Immersions
- Contact Riemannian Geometry
- Complex and Kähler Geometry
- Cohomological Properties of Complex Manifolds
- Holomorphic Isometries of Kähler Manifolds
- Special Surfaces in Riemannian Manifolds (CMC, invariant, etc.)
- Sasakian and Vaisman Manifolds
- Geometric Deep Learning
Differential Geometry and Topology Seminars
The Differential Geometry and Topology group seminars take place every other week on Tuesdays at 17:00 in the Aula B.
| Date | Speaker | Title |
|---|---|---|
| 22/10/2024 | Prof. Giovanni Bazzoni (Università dell'Insubria) |
Strutture G2 su nilvarietà e loro spazi di moduli |
| 05/11/2024 | Prof. Stefano Montaldo (Università di Cagliari) |
Sottovarietà Biconservative |
| 26/11/2024 | Prof. Aykut Kayhan (Maltepe University, Turkey) |
Rigidity results for biconservative hypersurfaces |
| 03/12/2024 | Dr. Giovanni Placini (Università di Cagliari) |
Kähler manifolds are not so formal |
|
10/12/2024 |
Prof. Cezar Oniciuc (Iasi University, Romania) |
c-Biharmonic maps: a higher order conformally invariant generalization of harmonic maps |
| 14/01/2025 | Prof. Gianluca Bande (Università di Cagliari) |
Forme intrinsecamente armoniche e coppie simplettiche |
| 28/01/2025 | Prof. Debora Impera (Politecnico di Torino) |
Disuguaglianze isoperimetriche su varietà con curvatura asintoticamente non negativa |
| 11/02/2025 | Prof. Luigi Provenzano (Università La Sapienza) |
Can one hear the conformal class of a surface? |
| 25/02/2025 | Prof. Marco Usula (Université libre de Bruxelles) |
Geometria asintoticamente iperbolica e applicazioni a mappe biarmoniche |
| 11/03/2025 | Dr. Roberto Mossa (Università di Cagliari) |
On relatives Kähler manifolds |
| 25/03/2025 | Dr. Antonio Trusiani (Chalmers University, Göteborg) |
TBA |
| 08/04/2025 | Prof. Andrea Loi (Università di Cagliari) |
TBA |
| 22/04/2025 | Prof. Louis Ioos (CY Cergy University). |
TBA |
| 06/05/2025 | Prof. Fabio Zuddas (Università di Cagliari) |
TBA |
| 20/05/2025 | TBA | TBA |
| 03/06/2025 | Prof. Giovanni Calvaruso (Università del Salento) |
TBA |
| 17/06/2025 | Prof. Giulia Dileo (Università di Bari) |
TBA |
Events
- Complex and Symplectic Geometry Workshop 2024
- Differential Geometry Workshop 2023 (Iasi)
- Differential Geometry Workshop 2022 (Vienna)
- Virtual Meeting on Differential Geometry 2021
- Differential Geometry Workshop 2021
- Differential Geometry Workshop 2020
- Variational Problems and the Geometry of Submanifolds 2019 (Lumini)
- RIEMain in Contact (2018)
Research Collaborations
Selected Publications
- A. Fardoun, S. Montaldo, A. Ratto. On the Stability of the Equator Map for Higher Order Energy Functionals. Int. Math. Res. Not. IMRN 2022, Issue 12, 9151–917
- R. Caddeo, I.I. Onnis, P. Piu. Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces. Ann. Mat. Pura Appl. (4) 201 (2022), no. 2, 913–932.
- S. Montaldo, C. Oniciuc, A. Ratto, Index and nullity of proper biharmonic maps in spheres. Commun. Contemp. Math. 23 (2021), no. 3, Paper No. 1950087, 36 pp.
- A. Loi, F. Salis, F. Zuddas. Extremal Kähler metrics induced by finite or infinite-dimensional complex space forms. J. Geom. Anal. 31 (2021), no. 8, 7842–7865.
- A. Loi, R. Mossa. Kähler immersions of Kähler-Ricci solitons into definite or indefinite complex space forms. Proc. Amer. Math. Soc. 149 (2021), no. 11, 4931–4941.
- G. Bande, B. Cappelletti-Montano, A. Loi. η-Einstein Sasakian immersions in non-compact Sasakian space forms. Ann. Mat. Pura Appl. (4) 199 (2020), no. 6, 2117–2124.
- G. Bande, P. Ghiggini. Holomorphic spheres and four-dimensional symplectic pairs. J. Geom. Anal. 30 (2020), no. 1, 861–873.
- V, Branding, S. Montaldo, C. Oniciuc, A. Ratto. Higher order energy functionals. Adv. Math. 370 (2020), 107236, 60 pp.
- I.I Onnis, A. P. Passos Passamani, P. Piu. Constant angle surfaces in Lorentzian Berger spheres. J. Geom. Anal. 29 (2019), no. 2, 1456–1478.
- B. Cappelletti-Montano, A. De Nicola, J. C. Marrero, I. Yudin. Hard Lefschetz theorem for Vaisman manifolds. Trans. Amer. Math. Soc. 371 (2019), no. 2, 755–776.
- A. Loi, Andrea, F. Salis, F. Zuddas. Two conjectures on Ricci-flat Kähler metrics. Math. Z. 290 (2018), no. 1-2, 599–613.
- S. Gudmundsson, S. Montaldo, A. Ratto. Biharmonic functions on the classical compact simple Lie groups. J. Geom. Anal. 28 (2018), no. 2, 1525–1547.
- B. Cappelletti-Montano, A. De Nicola, I. Yudin. Hard Lefschetz theorem for Sasakian manifolds. J. Differential Geom. 101 (2015), no. 1, 47–66.
- S. Montaldo, I.I. Onnis. Helix surfaces in the Berger sphere. Israel J. Math. 201 (2014), no. 2, 949–966.
- F. Mercuri, I.I. Onnis. On the Björling problem in a three-dimensional Lie group. Illinois J. Math. 53 (2009), no. 2, 431–440.
- G. Bande, D. Kotschick. The geometry of recursion operators. Comm. Math. Phys. 280 (2008), no. 3, 737–749.
Alumni
- Adina Balmus (Università di Iasi - Romania)
- Francesco Cannas-Aghedu
- Benedetto Manca (Università di Cagliari)
- Apoenã Passos Passamani (Universidade Federal do Espírito Santo)
- Nicola Pia (Fraunhofer-Gesellschaft)
- Filippo Salis (Politecnico di Torino)
- Michela Zedda (Università di Parma)
Former Members
- Renzo Caddeo