Daniele Zuddas

Research

My research field is the geometric topology of low-dimensional manifolds.
As main tools, I use branched coverings, Kirby diagrams, and Lefschetz fibrations.

Published articles

1. Branched coverings of CP² and other basic 4-manifolds
   with Riccardo Piergallini.
   Bulletin of the London Mathematical Society (in press), DOI: 10.1112/blms.12463
2. Certifying a compact topological 4-manifold
   with Michael Freedman.
   Mathematical Research Letters 26 (2019) No. 1, 67-74, DOI: 10.4310/MRL.2019.v26.n1.a5
3. On branched covering representation of 4-manifolds
   with Riccardo Piergallini.
   Journal of the London Mathematical Society 100 (2019) No. 1, 1-16, DOI: 10.1112/jlms.12187
4. Special moves for open book decompositions of 3-manifolds
   with Riccardo Piergallini.
   Journal of Knot Theory and Its Ramifications 27 (2018) No. 11, 1843008, DOI: 10.1142/S0218216518430083
5. Non-Kähler complex structures on R⁴, II
   with Antonio J. Di Scala and Naohiko Kasuya.
   Journal of Symplectic Geometry 16 (2018) No. 3, 631-644, DOI: 10.4310/JSG.2018.v16.n3.a2
6. On codimension-1 submanifolds of the real and complex projective space
   with Beniamino Cappelletti-Montano and Andrea Loi.
   Topology and its Applications 232 (2017), 237-241, DOI: 10.1016/j.topol.2017.10.015
7. Non-Kähler complex structures on R⁴
   with Antonio J. Di Scala and Naohiko Kasuya.
   Geometry & Topology 21 (2017), 2461-2473, DOI: 10.2140/gt.2017.21.2461
8. On embeddings of almost complex manifolds in almost complex Euclidean spaces
   with Antonio J. Di Scala and Naohiko Kasuya.
   Journal of Geometry and Physics 101 (2016), 19-26, DOI: 10.1016/j.geomphys.2015.11.008
9. Universal Lefschetz fibrations and Lefschetz cobordisms
   Geometry & Topology Monographs 19 (2015), 125-144, DOI: 10.2140/gtm.2015.19.125
10. Lefschetz fibrations over the disc
    with Nikos Apostolakis and Riccardo Piergallini.
    Proceedings of the London Mathematical Society 107 (2013), 340-390, DOI: 10.1112/plms/pds078
11. Universal Lefschetz fibrations over bounded surfaces
    Algebraic & Geometric Topology 12 (2012), 1811-1829, DOI: 10.2140/agt.2012.12.1811
12. Embedding almost-complex manifolds in almost-complex Euclidean spaces
    with Antonio J. Di Scala.
    Journal of Geometry and Physics 61 (2011), 1928-1931, DOI: 10.1016/j.geomphys.2011.05.002
13. Representing Dehn twists with branched coverings
    International Mathematics Research Notices, Vol. 2009 (2009) No. 3, 387-413, DOI: 10.1093/imrn/rnn134
14. A universal ribbon surface in B⁴
    with Riccardo Piergallini.
    Proceedings of the London Mathematical Society 90 (2005), 763-782, DOI: 10.1112/S0024611504015072
15. Some remarks on Bergmann metrics
    with Andrea Loi.
    Rivista di Matematica della Università di Parma 4 (2001), 71-86.
16. Braiding non-orientable surfaces in S⁴
    with Riccardo Piergallini.
    Atti del Seminario Matematico e Fisico dell'Università di Modena e Reggio Emilia, suppl. vol. IL (2001), 229-239.

Preprints

1. Branched covering simply-connected 4-manifolds
   with David Auckly, R. İnanç Baykur, Roger Casals, Sudipta Kolay and Tye Lidman.
   arXiv:2102.01043
2. On the strongly pseudoconcave boundary of a compact complex surface
   with Naohiko Kasuya.
   arXiv:2012.03018
3. A concave holomorphic filling of an overtwisted contact 3-sphere
   with Naohiko Kasuya.
   arXiv:1711.07429

PhD thesis

• Branched coverings and 4-manifolds
  Tesi di Perfezionamento, Scuola Normale Superiore di Pisa (2007).
  Supervisor: Riccardo Piergallini.

Curriculum Vitae